## Algebraic k-theory Research Topics Ideas for Thesis

1. Bimonoidal Categories, -Monoidal Categories, and Algebraic -Theory

2. Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory

3. Exploring the Beginnings of Algebraic K-Theory

4. The algebraic K-theory of the group ring of the Klein bottle group

5. K-theory of valuation rings

6. A computational reduction for many base cases in profinite telescopic algebraic -theory

7. The Quillen-Lichtenbaum conjecture connects algebraic K-theory to Étale cohomology.

8. Homotopy Mackey functors of equivariant algebraic -theory

9. ALGEBRAIC K-THEORY FROM THE VIEWPOINT OF MOTIVIC HOMOTOPY THEORY

10. On transfer maps in the algebraic K-theory of spaces

11. ALGEBRAIC K-THEORY AND CHROMATIC HOMOTOPY THEORY

12. Homogeneous spaces, algebraic -theory and cohomological dimension of fields

13. BLOCH GROUPS, ALGEBRAIC K-THEORY, UNITS, AND NAHM’S CONJECTURE GROUPES DE BLOCH, K-THÉORIE ALGÉBRIQUE, UNITÉS ET …

14. K-theory and polynomial functors

15. Representation theory and Higher Algebraic K-theory xxv+ 442 pages, Chapman and Hall, 2007

16. The reductive Borel-Serre compactification as a model for unstable algebraic K-theory

17. A brief introduction to Algebraic K-theory

18. A universal characterization of noncommutative motives and secondary algebraic K-theory

19. K-theory of non-archimedean rings II

20. On the K–theory of coordinate axes in affine space

21. Localization, monoid sets and K-theory

22. K-theory of admissible Zariski-Riemann spaces

23. Noncommutative Differential K-theory

24. Multifunctorial Inverse -Theory

25. On curves in K-theory and TR

26. Constructing K-Theory Spectra from Algebraic Structures with a Class of Acyclic Objects

27. Hermitian K-theory via oriented Gorenstein algebras

28. A JOURNAL OF THE K-THEORY FOUNDATION

29. Bokstedt periodicity generator via K-theory

30. Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras

31. REGENSBURG RESEARCH SEMINAR SS 2021 HERMITIAN K-THEORY OF RINGS

32. A counterexample to vanishing conjectures for negative K-theory

33. Classes in Zakharevich K-groups constructed from Quillen K-theory

34. K-theory of right-angled Hecke C*-algebras

35. The standard realizations for the K-theory of varieties

36. K-theory and the singularity category of quotient singularities

37. Homology and K-theory of dynamical systems I. Torsion-free ample groupoids

38. Equivariant Grothendieck–Riemann–Roch and localization in operational K-theory

39. The homotopy limit problem and the cellular Picard group of Hermitian K-theory

40. Constructing K-theory spectra from algebraic structures with a class of acyclic objects

41. Relative -theory for -algebras

42. On the Chern character in Higher Twisted K-theory and spherical T-duality

43. Unstable operations on K-theory for singular schemes

44. a review of From categories to homotopy theory by Richter, Birgit

45. A Geometric Model for Real and Complex Differential K-theory

46. Problems in general K-theory

47. Nilpotent invariance of semi-topological K-theory of dg-algebras and the lattice conjecture

48. Quantum -theory and -Difference equations

49. The tangent complex of K-theory

50. The 퐾’–theory of monoid sets

51. Additive operations between connective K-theory and Chow theory

52. تصفح اقسام الموقع

53. Equivariant K-theory classes of matrix orbit closures

54. Algebraic connective K-theory of a Severi-Brauer variety with prescribed reduced behavior

55. K – 1 and Higher K ~ -Groups of Cones of Smooth Projective Plane Curves

56. K-homology and K-theory of pure Braid groups

57. Remarks on the K-theory of C*-algebras of products of odometers

58. The plethory of operations in complex topological K-theory

59. Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

60. Uniqueness of differential characters and differential K-theory via homological algebra

61. Genuine-commutative ring structure on rational equivariant -theory for finite abelian groups

62. Seminar: From Hochschild homology to topological Hochschild homology

63. Intersection K-theory

64. -hyperbolicity of homotopy groups via -theory

65. The topological Hochschild homology of algebraic K-theory of finite fields

66. Invariants of algebraic tori of degree and weight 2

67. Supersymmetric Euclidean field theories and K-theory

68. Quantum K-theory of quiver varieties and many-body systems

69. The K-theory of the conjugation action

70. A remark on relative Gersten’s complex for Milnor -theory

71. Virtual excess intersection theory

72. Efimov K-theory of Diamonds

73. Back stable K-theory Schubert calculus

74. Note on linear relations in Galois cohomology and étale -theory of curves

75. Quantum -Theory of Grassmannians and Non-Abelian Localization

76. Homology and K-theory of dynamical systems. II. Smale spaces with totally disconnected transversal

77. Homological Lie brackets on moduli spaces and pushforward operations in twisted K-theory

78. Homomorphisms of C*-algebras and their K-theory

79. ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

80. Quantization of Edge Currents Along Magnetic Interfaces: AK -Theory Approach

81. K-Theory of Approximately Central Projections in the Flip Orbifold

82. On the quantum K-theory of the quintic

83. SYLLABUS: MATH 808F REPRESENTATIONS OF HECKE ALGEBRAS SPRING 2021

84. Bott periodicity

85. Hermitian K-theory of stable∞-categories

86. The stable algebra of (nonnegative) matrices

87. Notes on the ℓp-Toeplitz algebra on ℓp (ℕ)

88. AN INTODUCTORY COURSE ON MOTIVIC HOMOTOPY THEORY AND RATIONAL MIXED MOTIVES

89. The Segal conjecture for topological Hochschild homology of Ravenel spectra

90. -theory and equivariant spectral triple for the quantum group for complex deformation parameters

91. Multiplicative equivariant -theory and the Barratt-Priddy-Quillen theorem

92. On the Extension of Algebraically Smooth Domains

93. K-theory for semigroup C*-algebras and partial crossed products

94. Comments on Vladimir Voevodsky’s biologically motivated works

95. Milnor -theory of -adic rings

96. 퐾-theory and topological cyclic homology of henselian pairs

97. Equivariant eta forms and equivariant differential K-theory

98. Obstructions to matricial stability of discrete groups and almost flat K-theory

99. Unified topological characterization of electronic states in spin textures from noncommutative K-theory

100. A Gillet-Waldhausen Theorem for chain complexes of sets

101. Dense quasi-free subalgebras of the Toeplitz algebra

102. The Motivic Segal-Becker Theorem

103. An additivity theorem for cobordism categories

104. Equivariant -theory of toric orbifolds

105. SEMINAR ON GEOMETRIC REPRESENTATION THEORY OF WEYL GROUPS

106. The Chern class for and the cyclic quantum dilogarithm

107. BPS Indices, Modularity and Perturbations in Quantum K-theory

108. Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds

109. Graded K-theory and K-homology of relative Cuntz–Pimsner algebras and graph C⁎-algebras

110. Cobordism-framed correspondences and the Milnor 퐾-theory

111. The J-homomorphism

112. Deformation theory of perfect complexes and traces

113. A stable -category for equivariant -theory

114. Multiplicative quantum cobordism theory

115. K-theory

116. Asymptotics of Nahm sums at roots of unity

117. On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions

118. On the infinite loop spaces of algebraic cobordism and the motivic sphere

119. On the Riemann-Roch formula without projective hypotheses

120. Motivic Chern classes and K‐theoretic stable envelopes

121. a review of Functoriality of groupoid quantales. II by Quijano, Juan Pablo; Resende, Pedro

122. Burnside form rings and the K-theory of forms

123. MSC

124. Diffeomorphisms of odd-dimensional discs, glued into a manifold

125. RINGS WHOSE GENERAL LINEAR GROUPS DO NOT EXHIBIT HOMOLOGICAL STABILITY

126. Arnold Conjecture and Morava K-theory

127. A Combinatorial Chevalley Formula for Semi-Infinite Flag Manifolds and its Applications

128. Endomorphisms of the projective plane

129. Cohomology of the moduli stack of algebraic vector bundles

130. Quantum K-theory of flag varieties via non-abelian localization

131. Asymptotic representations of shifted quantum affine algebras from critical K-theory

132. Chow filtration on representation rings of algebraic groups

133. On universal stably free modules in positive characteristic

134. The additivity of traces in stable -categories

135. The shortest vector problem and tame kernels of cyclotomic fields

136. Differential KO-theory: constructions, computations, and applications

137. Generalized stability for abstract homotopy theories

138. K-Theory of Z2-Graded Banach Categories. II

139. On Endomorphisms of Complex Cobordism, Adams Operations in K-Theory, and the Im(J) Spectrum

140. Local abelian Kato-Parshin reciprocity law: A survey

141. A note on twisted group rings and semilinearization

142. An arithmetic Lefschetz–Riemann–Roch theorem

143. A remark on singular cohomology and sheaf cohomology

144. PCMI GRADUATE SUMMER SCHOOL-ASPECTS OF MOTIVIC COHOMOLOGY

145. The Atiyah-Hirzebruch Spectral Sequence

146. Chow dilogarithm and reciprocity laws

147. A version of Waldhausen’s chromatic convergence for

148. a review of Ambidexterity and height by Carmeli, Shachar; Schlank, Tomer M.; Yanovski, Lior

149. Equivariant K-Theory

150. Some Hermitian K-groups via geometric topology

151. Derived categories of nodal del Pezzo threefolds

152. Motivic Hypercohomology Solutions in Field Theory and Applications in H-States

153. On topological Hochschild homology of the ‐local sphere

154. THH and TC are (very) far from being homotopy functors

155. Pro-Generative Adversarial Network and V-stack Perceptron, Diamond Holographic Principle, and Pro-Temporal Emergence

156. Verschiebung maps among K-groups of truncated polynomial algebras

157. Michael Atiyah’s work in algebraic topology

158. The C2-Effective Spectral Sequence for C2-Equivariant Connective Real K-Theory

159. EXAMPLES OF TENSOR-TRIANGULATED CATEGORIES

160. Morse theory for loop-free categories

161. Split extensions and KK-equivalences for quantum projective spaces

162. Injective capacity and cogeneration

163. Detecting and describing ramification for structured ring spectra

164. Triangulations of Manifolds and Combinatorial Bundle Theory: An Announcement

165. 3d mirror symmetry for instanton moduli spaces

166. On Novodvorskii’s theorem and the Oka principle

167. Comparison of Waldhausen constructions

168. Shadows are Bicategorical Traces

169. Locally equivalent quasifree states and index theory

170. Topological Hochschild homology of truncated Brown-Peterson spectra I

171. Reducers and K0 with support

172. The mod Margolis homology of the Dickson–Mùi algebra

173. A non-commutative analogue of Clausen’s view on the idèle class group

174. The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices

175. Controlled -theory II: a Mayer-Vietoris principle and the UCT

176. Band width and the Rosenberg index

177. The 2-leg vertex in K-theoretic DT theory

178. Categorical and K-theoretic Hall algebras for quivers with potential

179. Generators for categorical Hall algebras of surfaces

180. Topology and Localization

181. Das Merkurjev-Suslin Theorem

183. NK_1 of Bak’s unitary group over Graded Rings

184. An index theorem for quotients of Bergman spaces on egg domains

185. HOMOLOGICAL STABILITY MINICOURSE LECTURE 3: HOMOLOGICAL STABILITY FOR AUTOMORPHISM GROUPS

186. A-type quiver varieties and ADHM moduli spaces

187. FINITENESS IN ALGEBRA

188. The arc-topology

189. Categorical models of unstable G-global homotopy theory

190. An algebraic approach to the algebraic Weinstein conjecture

191. GKM theory for orbifold stratified spaces and application to singular toric varieties

192. RATIONAL EQUIVALENCE OF CURVES ON A SEVERI–BRAUER VARIETY

193. The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups

194. Associative algebra twisted bundles over compact topological spaces

195. Chiral algebra of the Argyres-Douglas theory from M5 branes

196. Homotopy type of the unitary group of the uniform Roe algebra on

197. Moduli spaces of stable sheaves over quasipolarized surfaces, and the relative Strange Duality morphism

198. The mod-2 connected KU-homology of the Eilenberg-MacLane space K (Z/2, 2)

199. Locally Cartesian localisations and the higher Thomason model structure

200. An introductory course on Voevodsky’s motivic complexes

201. Bounded reduction of orthogonal matrices over polynomial rings

202. Cobasically discrete modules and generalizations of Bousfield’s exact sequence

203. The Bounded Isomorphism Conjecture for Spaces of Graphs with Large Girth

204. DERIVED ALGEBRAIC GEOMETRY

205. Quantum Toroidal Algebra Associated with m | n

206. Explicit construction of Atiyah-Singer indices for maximally hypoelliptic operators on contact manifolds

207. Lift of fractional D-brane charge to equivariant Cohomotopy theory

208. The gamma filtrations for the spin groups

209. A note on quotient full commutative near-field spaces over a near-field

210. From algebraic geometry to machine learning

211. Zeta-values of one-dimensional arithmetic schemes at n< 0

212. SPLITTING OF VECTOR BUNDLES VIA FOURIER–MUKAI THEORY

213. Symmetric Functions and q-Products with an Application to Theoretical Physics

214. The symplectic geometry of higher Auslander algebras: Symmetric products of disks

215. Brauer Groups of Algebraic Stacks and GIT-Quotients

216. Computation of Some K-groups

217. Computations of relative topological coHochschild homology

218. Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience

219. Mini-Workshop: Superpotentials in Algebra and Geometry

220. Operator Formalism of Gauge Theory

221. Identities of Mahler measures of certain polynomials defining curves of arbitrary genus

222. The Gromov–Lawson codimension 2 obstruction to positive scalar curvature and the C∗–index

223. 超幾何関数と関数

224. Dimensioned Algebra: the mathematics of physical quantities

225. The cancellation of projective modules of rank 2 with a trivial determinant

226. Outline for a course in stable homotopy theory

227. Virtual intersection theories

228. Noncommutative Hodge conjecture

229. Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties

230. A Cuntz-Pimsner model for the C⁎-algebra of a graph of groups

231. On K (1)-local TR

232. Symmetries of the C⁎-algebra of a vector bundle

233. On extension of the motivic cohomology beyond smooth schemes

234. Twisted Fourier–Mukai partners of Enriques surfaces

235. Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties

236. Langlands Reciprocity for C∗-Algebras

237. On the K-Theoretic Hall Algebra of a Surface

238. Characteristic classes of Borel orbits of square-zero upper-triangular matrices

239. Local Gorenstein duality in chromatic group cohomology

240. A survey of the additive dilogarithm

241. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields

242. A note on splitting fields for twisted group algebras of finite groups over a number field

243. Toward the Reverse Decomposition of Unipotents. II. The Relative Case

244. Generators for K-theoretic Hall algebras of quivers with potential

245. The relative L2 index theorem for Galois coverings

246. Coniveau filtrations and Milnor operations Qn

247. Invariant differential forms on complexes of graphs and Feynman integrals

248. Codes, Vertex Operators and Topological Modular Forms

249. A Lie Algebra Approach Towards Classification of Complex Vector Bundles of Finite Rank on a Smooth Complex Manifold

250. Cohomological invariants for central simple algebras of degree 8 and exponent 2

251. A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions

252. Motivic Springer Theory

253. E-infinity structure in hyperoctahedral homology

254. Universal -algebras with the local lifting property

255. Stable moduli spaces of hermitian forms

256. On the range of the relative higher index and the higher rho-invariant for positive scalar curvature

257. A genus formula for the positive étale wild kernel

258. C*-algebraic Schur product theorem, P\'{o} lya-Szeg\H {o}-Rudin question and Novak’s conjecture

259. Morita duality emerging from quasi-abelian categories

260. New Spaces in Mathematics: Formal and Conceptual Reflections

261. Positive scalar curvature and an equivariant Callias-type index theorem for proper actions

262. Strongly Quasi-local algebras and their -theories

263. Fundamental classes in motivic homotopy theory

264. The spectrum of equivariant Kasparov theory for cyclic groups of prime order

265. Crystal structures for symmetric Grothendieck polynomials

266. Generalized Homology and Cohomology Theories

267. Harmonic 푪-Categories of Longitudinal Pseudo Differential Operators over Flag Variety

268. Strong version of Snake Lemma in exact categories

269. Random plane partitions and corner distributions

270. The Steinberg representation is irreducible

271. Algebraic Spivak’s theorem and applications

272. Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic

273. Many finite-dimensional lifting bundle gerbes are torsion

274. Some Connectedness Results for Co-Algebraically Complete Isometries

275. Cancellation of finite-dimensional Noetherian modules

276. Galois module structure of square power classes for biquadratic extensions

277. ON GENERIC FLAG VARIETIES FOR ODD SPIN GROUPS

278. Selected topics of Friedrich Hirzebruch’s collected works

279. A certain structure of Artin groups and the isomorphism conjecture

280. Low Dimensional Supersymmetric Gauge Theories and Mathematical Applications

281. The de Rham-Fargues-Fontaine cohomology

282. A multiplicative comparison of Mac Lane homology and topological Hochschild homology

283. The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups

284. The Farrell–Jones conjecture for normally poly-free groups

285. COMPLEXITY ESTIMATES FOR THE RELATION OF COINCIDENCE OF MODEL-THEORETIC PROPERTIES WITH AN APPLICATION TO SEMANTIC CLASSES

286. Algebraic Geometry and Representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science

287. The completion and local cohomology theorems for complex cobordism for all compact Lie groups

288. On the First, the Second and the Third Stems of the Stable Homotopy Groups of Spheres

289. K-Groups of Trivial Extensions and Gluings of Abelian Categories

290. The General Formula for the Ehrhart Polynomial of Polytopes with Applications

291. C*-Algebraic higher Signature on Non-Witt space

292. Algebraic realization of actions of some finite groups

293. PRIMENESS OF SIMPLE MODULES OVER PATH ALGEBRAS AND LEAVITT PATH ALGEBRAS

294. The” Grothendieck to Lascoux” conjecture

295. TWISTED THOM ISOMORPHISMS IN BALMER-WITT THEORY

296. Euler characteristic of stable envelopes

297. Maximal orthogonal grassmannians of quadratic forms of dimensions up to

298. On the Bloch groups of nite elds and their quotients by the relation corresponding to a tetrahedral symmetry

299. Elliptic stable envelopes

300. A cancellation theorem for modules over integral group rings

301. M/F-theory as Mf-theory

302. The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

303. A moving lemma for algebraic cycles with modulus and contravariance

304. Relating diffraction and spectral data of aperiodic tilings: Towards a Bloch theorem

305. Peirce and Grothendieck on Mathematical Cognition: A Merging of the Pragmaticist Maxim and Topos Theory

306. On algebraic Chern classes of flat vector bundles

307. Algebra & Number Theory

308. Computing homological residue fields in algebra and topology

309. Unramified Cohomology of Quadrics in Characteristic Two

310. The complete classification of unital graph C∗-algebras: Geometric and strong

311. Motivic cohomology of semistable varieties

312. Realising π∗ eR–algebras by global ring spectra

313. ξ -Phantom Maps in ( n + 2 ) -Angulated Categories

314. A non-commutative analogue of Clausen’s view on the id\{e} le class group

315. GALOIS AND HOPF GALOIS: TOPICS

316. EQUIVARIANT CARTAN HOMOTOPY FORMULA FOR THE CROSSED PRODUCT OF DG ALGEBRA

317. Higher Auslander correspondence for exact categories

318. C*-Algebras of Right LCM One-Relator Monoids and Artin–Tits Monoids of Finite Type

319. Some examples of EP operators

320. Elliptic classes on Langlands dual flag varieties

321. Adams operations Ψk on bup*(Bℤ/p)^ n

322. MACKEY FUNCTORS, EQUIVARIANT ORIENTATION, AND A COMPLETION THEOREM

323. Commutators of elementary subgroups: curiouser and curiouser

324. Noncommutative resolutions and intersection cohomology for quotient singularities

325. Understanding Quaternions from Modern Algebra and Theoretical Physics

326. The M\” obius function on Affine Grassmannian elements

327. The strong Suslin reciprocity law

328. STRONG BOUNDEDNESS OF S-ARITHMETIC, SPLIT CHEVALLEY GROUPS SANDWICH THEOREMS, COMPACTNESS AND BAD PRIMES

329. Some examples of EP operators

330. Elliptic classes on Langlands dual flag varieties

331. Adams operations Ψk on bup*(Bℤ/p)^ n

332. MACKEY FUNCTORS, EQUIVARIANT ORIENTATION, AND A COMPLETION THEOREM

333. Commutators of elementary subgroups: curiouser and curiouser

334. Noncommutative resolutions and intersection cohomology for quotient singularities

335. Understanding Quaternions from Modern Algebra and Theoretical Physics

336. The M\” obius function on Affine Grassmannian elements

337. The strong Suslin reciprocity law

338. STRONG BOUNDEDNESS OF S-ARITHMETIC, SPLIT CHEVALLEY GROUPS SANDWICH THEOREMS, COMPACTNESS AND BAD PRIMES

339. Morphisms of rational motivic homotopy types

340. The homotopy types of free racks and quandles

341. Generalized Extension in the Geometry of Goncharov Motivic and Grassmannian Configuration Chain Complexes

342. Bounds on Sectional Curvature and Interactions with Topology

343. An index theorem for higher orbital integrals

344. Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions

345. On Phases of 3d Chern-Simons-Matter Theories

346. Irreducible spanning representations of vector Hilbert spaces

347. SOME LIMITS IN MOTIVIC SPECTRA I

348. Adams Operations in Commutative Algebra

349. A weak Lefschetz result for Chow groups of complete intersections

350. Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: Elliptic curves, Barsotti-Tate groups, and other examples

351. Elliptic cohomology is unique up to homotopy

352. The Ring Structure of Twisted Equivariant KK-Theory for Noncompact Lie Groups

353. Shuffle algebras for quivers and wheel conditions

354. Non-homogeneous extensions of Cantor minimal systems

355. Stability conditions in families

356. Multiplicative Tate Spectral Sequences

357. Motivic cohomology of fat points in Milnor range via formal and rigid geometries

358. Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials

359. Equivariant Chow-Witt groups and moduli stacks of elliptic curves

360. Application of Schur-Weyl duality to Springer theory

361. Twisted motivic Chern class and stable envelopes

363. ‐triviality of groups of type arising from the first Tits construction

364. THE THOM ISOMORPHISM

365. Anomalous symmetries of classifiable C*-algebras

366. Smooth weight structures and birationality filtrations on motivic categories

367. The Bass and topological stable ranks

368. Renormalized Index Formulas for Elliptic Differential Operators on Boundary Groupoids

369. The Jiang–Su algebra

370. On the characterization of paths

371. Virtual Coulomb branch and vertex function

372. Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type

373. SUPER-COVARIANT POSITIVITY FOR CO-EMPTY, QUASI-COMBINATORIALLY ORTHOGONAL MANIFOLDS

374. ( SL ( N ) , q ) -Opers, the q -Langlands Correspondence, and Quantum/Classical …

375. THE UNIQUENESS OF ONTO SYSTEMS

376. Post-Lie-Magnus expansion and BCH-recursion

377. Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers

378. Equivariant-absorption theorem for exact groups

379. Gromov-Witten theory and invariants of matroids

380. Cauchy Formulas and Billey’s Formulas for Generalized Grothendieck polynomials

381. Chow Groups of Quadrics in Characteristic Two

382. Stable set rings which are Gorenstein on the punctured spectrum

383. A Bit About Infinite Loop Spaces

384. Motivic Chern classes of cones

385. Class field towers and minimal models

386. Generalizing dendriform algebras: , , and Rota–Baxter operators

387. HISTORY OF HOMOLOGY

388. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry

389. Double nested Hilbert schemes and the local stable pairs theory of curves

390. Fractional quantum numbers, complex orbifolds and noncommutative geometry

391. Compactly supported A1-Euler characteristic and the Hochschild complex

392. A1-invariance of non-stable K1-functors in the equicharacteristic case

393. Equivariant Picard groups and Laurent polynomials

394. Localized operations on T-equivariant oriented cohomology of projective homogeneous varieties

395. Stably projectionless Fra\” iss\’e limits

396. Co-actions, Isometries, and isomorphism classes of Hilbert modules

397. The Canonical Form of Multiplication Modules

398. The Possible Temperatures for Flows on a Simple AF Algebra

399. Homological stability minicourse

400. A NOTE ON THE NON-TRIVIAL ELEMENTS IN THE COHOMOLOGY GROUPS OF THE STEENROD ALGEBRA

401. Fields of dimension one algebraic over a global or local field need not be of type C1

402. Simple homotopy theory and nerve theorem for categories

403. Torsion orders of Fano hypersurfaces

404. TATE’S CONJECTURE AND THE TATE–SHAFAREVICH GROUP OVER GLOBAL FUNCTION FIELDS

405. Stability over cDV singularities and other complete local rings

406. Grothendieck groups of -exangulated categories and a modified Caldero-Chapoton map

407. The third homology of of real quadratically closed fields

408. Twisted Hilbert schemes and division algebras

409. Clean single-valued polylogarithms

410. A Flavour of Non Commutative Advance Algbra Part-I

411. Towards Vorst’s conjecture in positive characteristic

412. Triangulated categories and weight structures Mikhail Bondarko, St. Petersburg State University

413. Split Injectivity of A-Theoretic Assembly Maps

414. Spectra of Tensor Triangulated Categories over a Category Algebra—A New Approach

415. Topological Quantum D-Branes and Wild Embeddings from Exotic Smooth 4

416. A mod k index theorem for signature operators

417. A categorified Dold-Kan correspondence

418. The algebraic theory of fuchsian singularties

419. A pair of dual Hopf algebras on permutations

420. Quantum differential and difference equations for

421. The coarse Novikov conjecture for extensions of coarsely embeddable groups

422. Gabber’s presentation lemma over noetherian domains

423. A new approach in index theory

424. Non-Commutative Geometry and Cyclic Homology

425. Hopf maps and K (1)-local Sp-bordism

426. Algebra & Number Theory

427. Strong boundedness of for rings of S-algebraic integers with infinitely many units

428. Maximum Likelihood Degree, Complete Quadrics, and -Action

429. Complex orientations and of complete DVRS

430. Local group-groupoids and local crossed modules

431. Hecke operators in Bredon (co) homology, K-(co) homology and Bianchi groups

432. Complex Rank 3 Vector Bundles on Complex Projective 5-Space

433. Chevalley groups over Dedekind domains and some problems for K2 (2, ZS)

434. A counterexample to the HK-conjecture that is principal

435. Sturmian subshifts and their C*-algebras

436. Tensor coaction functors

437. a review of Coherent nerves for higher quasicategories by Gindi, Harry

438. The Atiyah–Singer index theorem

439. On the classification of group actions on C*-algebras up to equivariant KK-equivalence

440. Singularities and Their Interaction with Geometry and Low Dimensional Topology

441. Strange Duality for elliptic surfaces

442. Rigidity for rigid analytic motives

443. Affine lines and advanced probabilistic model theory

444. FUNDAMENTAL THEOREMS FOR THH

445. Secondary cup and cap products in coarse geometry

446. Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic Curves

447. A note on Tannakian categories and mixed motives

448. On partial augmentations of elements in integral group rings

449. Dynamic asymptotic dimension for actions of virtually cyclic groups

450. A matrix viewpoint for various algebraic extensions

451. On order of vanishing of characteristic elements

452. Linkage of sets of cyclic algebras

453. Constructing and calculating Adams operations on topological modular forms

454. Topological models for stable motivic invariants of regular number rings

455. 2-vector bundles

456. DVO NA Q-KONSTRUKCI VALDHAUZENA DL SIMMETRIQESKIH MONOIDALЬNYH KATEGORI

457. Rational -Stability of Continuous -Algebras

458. Toric vector bundles: GAGA and Hodge theory

459. Classifying space for quantum contextuality

460. The noncommutative geometry of the Landau Hamiltonian: Differential aspects

461. Generation of the special linear group by elementary matrices in some measure Banach algebras

462. Equivariant algebraic index theorem

463. Cdh descent, cdarc descent, and Milnor excision

464. The -module structure of the homology of Brown-Gitler spectra

465. Orientations for DT invariants on quasi-projective Calabi–Yau 4-folds

466. Maruyoshi-Song Flows and Defect Groups of Theories

467. “Not Just an Idle Game”

468. Virasoro constraints for moduli spaces of sheaves on surfaces

469. On (co) ends in∞-categories

470. On the Uncountability of Minimal, Anti-Essentially Linear Vector Spaces

471. Derived Dimension Via τ-Tilting Theory

472. A Complete Semantics of and Its Translation to Isabelle

473. On abstract homomorphisms of some special unitary groups

474. The Devinatz-Hopkins Theorem via Algebraic Geometry

475. Categorical smooth compactifications and neighborhoods of infinity

476. Some Minimality Results for Sub-Continuously Noetherian, Contra-Continuously Banach, Hyperbolic Algebras

477. The Stembridge Equality for Skew Stable Grothendieck Polynomials and Skew Dual Stable Grothendieck Polynomials

478. Quaternion algebras

479. Mixed Witt rings of algebras with involution

480. Rigidity in étale motivic stable homotopy theory

481. Viva Fukaya!

482. Notes on the Brown-Douglas-Fillmore Theorem

483. R-equivalence on group schemes and non stable K 1-functors

484. Uniqueness of uniform decompositions in exact categories

485. Classifying dg-categories of matrix factorizations

486. A note on outer derivations of Leibniz algebras

487. Topological gaps by twisting

488. 3-form Yang-Mills based on 2-crossed modules

489. Dynamic asymptotic dimension and Matui’s HK conjecture

490. Higher -genera for proper actions and applications

491. A categorified excision principle for elliptic symbol families

492. Continuous Fredholm Theory, Regularities and Semiregularities

493. Noncommutative Borsuk–Ulam-type conjectures revisited

494. BGG category and -graded representation theory

495. Biquotient vector bundles with no inverse

496. The quantum disk is not a quantum group

497. Topological types of algebraic stacks

498. Schubert puzzles and integrability II: multiplying motivic Segre classes

499. On the Minimality of Positive Random Variables

500. Callias-type operators associated to spectral triples

501. On the subalgebra lattice of a Leibniz algebra

502. Crossed product approach to equivariant localization algebras

503. Blocks and vortices in the 3d ADHM quiver gauge theory

504. A Hopf Algebra on Permutations Arising from Super-Shuffle Product. Symmetry 2021, 13, 1010

505. Weighted Leavitt path algebras–an overview

506. An introduction to torsion subcomplex reduction

507. Eilenberg Mac Lane spectra as p-cyclonic Thom spectra

508. De Rham–Witt sheaves via algebraic cycles

509. Morihiko Saito

510. Transgression maps for crossed modules of groupoids

511. The New Results in n-injective Modules and n-projective Modules

512. Generalizing Quillen’s Theorem A

513. Oberwolfach Seminar Topological Cyclic Homology and Arithmetic Topological Cyclic Homology

514. An example of a Brauer–Manin obstruction to weak approximation at a prime with good reduction

515. Codimension 2 cycles on Severi–Brauer varieties and decomposability

516. Twisted crystallograpic T-duality via the Baum–Connes isomorphism

517. Approximate Pythagoras Numbers

518. Exploring Human-Computer Interaction in Mathematics: From Voevodsky’s Univalent Foundations of Mathematics to Mochizuki’s IUT-Theoretic Proof of the ABC …

519. Abelian varieties and number theory

520. Geometric structures and configurations of flags in orbits of real forms

521. REIDEMEISTER SPECTRUM OF CLASSICAL LINEAR GROUPS

522. Towards an ontology of design: lessons from C–K design theory and Forcing

523. Trace inequalities for Rickart C ∗ -algebras

524. Type D quiver representation varieties, double Grassmannians, and symmetric varieties

525. Lie Bi-Algebras on the Non-Commutative Torus

526. Super Dirac operator on the super fuzzy sphere sf (2| 2) in instanton sector using super Ginsparg-Wilson algebra

527. Topological modular forms and the absence of all heterotic global anomalies

528. Invariance properties of coHochschild homology

529. On the K(1)-local homotopy of tmf ∧ tmf

530. WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?

531. Further insights into the mysteries of the values of zeta functions at integers

532. Elliptic stable envelopes and 3d mirror symmetry

533. Higher rank K-theoretic Donaldson-Thomas Theory of points

534. Homotopy nilpotency of localized spheres and projective spaces

535. The large-scale fractal geometry of Riemannian moduli space

536. Comptes Rendus Mathématique

537. The -algebra of the quantum symplectic sphere

538. Categorification of the elliptic Hall algebra

539. Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes

540. arXiv: Clean single-valued polylogarithms

541. Bijecting hidden symmetries for skew staircase shapes

542. On the Dimension of Non-Abelian Tensor Squares of -Lie Algebras

543. An Atiyah sequence for noncommutative principal bundles

544. Bott–Thom isomorphism, Hopf bundles and Morse theory

545. Structure of A2-fibrations having fixed point free locally nilpotent derivations

546. Manifolds and Groups

547. Polynomials from Combinatorial-theory

548. “Free rides” in Mathematics

549. Dan-Virgil Voiculescu at seventy

550. DT invariants from vertex algebras

551. The classifying space of the one‐dimensional bordism category and a cobordism model for TC of spaces

552. Wall-crossing for zero-dimensional sheaves and Hilbert schemes of points on Calabi–Yau 4-folds

553. Characteristic Classes and Quaternionic Flags

554. Non-associative magnetic translations from parallel transport in projective Hilbert bundles

555. Left multipliers of reproducing kernel Hilbert C⁎-modules and the Papadakis theorem

556. Extension classes of a mixed motive and subgroups of its motivic Galois group

557. Topological gaps by twisting

558. Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra

559. The role of Coulomb branches in 2D gauge theory

560. Structure constants for Chern classes of Schubert cells

561. Milnor-Witt sheaves and modules

562. A Criterion for Splitting of a Projective Module in Terms of Its Generic Sections

563. A Hopf Algebra on Permutations Arising from Super-Shuffle Product

564. Integral generalized equivariant cohomologies of GKM orbifolds and weighted Grassmann orbifold

565. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

566. On functorial (co) localization of algebras and modules over operads

567. Geometric and Representation Theoretic Aspects of -adic Motives

568. Voevodsky’s criterion for constructible categories of coefficients

569. The categorified Grothendieck–Riemann–Roch theorem

570. Annihilators of differential forms over over fields of characteristic p

571. Loop space homology of a small category

572. Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

573. Classifying Leavitt path algebras up to involution preserving homotopy

574. -hyperbolicity via homology

575. Continuity of the Mackey–Higson bijection

576. TOTALLY POSITIVE DEGENERACY FOR HOLOMORPHIC PATHS

577. Structure of relatively free trioids

578. Tautological classes of matroids

579. Linkage of sets of quaternion algebras in characteristic 2

580. A note on the non-trivial elements in the cohomology groups of the Steenrod algebra

581. On the splitting principle for cohomological invariants of reflection groups

582. Memorial Article for John Tate

583. Atiyah-Segal’s completion theorem

584. Analytic cyclic homology in positive characteristic

585. Representations of Algebras, Geometry and Physics

586. Non-torsion non-algebraic classes in the Brown–Peterson tower

587. Periodic self maps and thick ideals in the stable motivic homotopy category over at odd primes

588. Invariants of disordered semimetals via the spectral localizer

589. Fiberwise Poincaré–Hopf Theory and Exotic Smooth Structures on Manifold Bundles

590. Positive scalar curvature and strongly inessential manifolds

591. From nonabelian basechange to basechange with coefficients

592. Prismatic cohomology and -adic homotopy theory

593. On the dual of a -algebra and its comodules, with applications to comparison of some Bousfield classes

594. Semiorthogonal decomposition of

595. Generating solutions of a linear equation and structure of elements of the Zelisko group

596. Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension

597. Higher homological algebra and support varieties

598. Generalized Nets. An Overview of the Main Results and Applications

599. Algebra & geometry: an introduction to university mathematics

600. On Wedderburn principal theorem for Jordan algebra bundles

602. Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups

603. Unramified cohomology, algebraic cycles and rationality

604. On the density of eigenvalues on periodic graphs

605. Tracing projective modules over noncommutative orbifolds

606. Cancellation and stability properties of generalized torsion modules

607. Coaction and double-copy properties of configuration-space integrals at genus zero

608. On stable rank of on coverings of finite bordered Riemann surfaces

609. Elliptic multiple polylogarithms in open string theory

610. Recollements of derived categories I: Construction from exact contexts

611. A HOPF ALGEBRA STRUCTURE ON THE COHOMOLOGY OF A UNIVERSAL GRASSMANNIAN

612. Invariants of linkage of modules

613. Codimension 2 transfer of higher index invariants

614. Quantization of Geometry

615. Simple generalized inductive limits of C*-algebras

616. Brackets by any other name

617. Optimal transport and unitary orbits in C⁎-algebras

618. Relatively divisible and relatively flat objects in exact categories

619. Homological Dimensions of Extriangulated Categories and Recollements

620. On derived equivalences and homological dimensions

621. Toric regulators

622. Relations for Grothendieck groups of -cluster tilting subcategories

623. Skew localizer and -flows for real index pairings

624. Cluster construction of the second motivic Chern class

625. 퐾-classes of Brill–Noether Loci and a Determinantal Formula

626. Strong linkage for function fields of surfaces

627. A certain class of pro -algebras and bounded elements of a Hilbert module

628. Existence of n-Auslander–Reiten sequences via a finiteness condition

629. Some recent advances in topological Hochschild homology

630. Multi-quadratic p-rational number fields

631. The real cycle class map

632. Asymptotically flat Fredholm bundles and assembly

633. The extension dimension of triangular matrix algebras

634. Topologie

635. Constraints on families of smooth 4–manifolds from Bauer–Furuta invariants

636. Degenerate versions of Green’s theorem for Hall modules

637. Coarse geometry and Callias quantisation

638. Seminar on L2-Invariants

639. CATEGORIES OVER ARTINIAN SUBALGEBRAS

640. Gerbes in Geometry, Field Theory, and Quantisation

641. What are motives for?

642. Existence of unimodular triangulations—positive results

643. Instanton Counting and Localization

644. A note on values of the Dedekind zeta-function at odd positive integers

645. Properties of the gradings on ultragraph algebras via the underlying combinatorics

646. Nodal quintic surfaces and lines on cubic fourfolds

647. EQUIVARIANT ORIENTATION AND A COMPLETION THEOREM

648. Elliptic stable envelopes of affine type quiver varieties

649. Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers

650. Higher rank Segre integrals over the Hilbert scheme of points

651. A Lichnerowicz theorem for singular foliations using blow-up groupoids

652. Rota-Baxter Hopf\pi-(co) algebras

653. Ê× Ö ËØ Ø Ñ ÒØ

654. Torsion motives

655. A sketch for derivators

656. Characteristic Classes

657. Noncommutative Riemann hypothesis

658. Exotic instantons in eight dimensions

659. Linear Combination of Composition Operators on Bergman and Korenblum Spaces

660. Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau’s twisting generalizations

661. Generalized NS-algebras

662. Weil-\’etale cohomology for arbitrary arithmetic schemes and . Part II: The special value conjecture

663. The derived dimensions and syzygy finite type

664. Random Simple-Homotopy Theory

665. Segal’s Gamma rings and universal arithmetic

666. DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS

667. УЧЕБНЫЙ СЕМИНАР ПО АБСТРАКТНОЙ ТЕОРИИ ГОМОТОПИЙ И ПРИЛОЖЕНИЯМ. ПРОГРАММА

668. Locally free twisted sheaves of infinite rank

669. Improved homological stability for certain general linear groups

670. Ehresmann semigroups whose categories are EI and their representation theory

671. A new equivalence between singularity categories of commutative algebras

672. A counterexample to the unit conjecture for group rings

673. Bismut-Cheeger eta form and higher spectral flow

674. A de Rham model for complex analytic equivariant elliptic cohomology

675. Green 2-functors

676. GREEN MONOIDS OVER SUPER-COMBINATORIALLY LINEAR TRIANGLES

677. Langton’s type Theorem on Algebraic Orbifolds

678. A Lattice Version of the Atiyah–Singer Index Theorem

679. The Mahler measure of a genus 3 family

680. Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry

681. NOTE ON MOTIVIC COHOMOLOGY OF ANISOTROPIC REAL QUADRICS

682. Topology of the Space of SU (2)-Monopoles in ℝ3

683. Coefficients of the -equivariant complex cobordism ring

684. On Cofibrations of Permutative categories

685. The localization theorem for framed motivic spaces

686. The Heisenberg generalized vertex operator algebra on a Riemann surface

687. Isotropic stable motivic homotopy groups of spheres

688. Thom isomorphisms in triangulated motivic categories

689. A new homotopy invariant in time-reversal and twofold rotation symmetric systems

690. Derived categories of hyper-Kähler varieties via the LLV algebra

691. Group Theory

692. Beta families arising from a self map on

693. A case study of intersections on blowups of the moduli of curves

694. Anick type automorphisms and new irreducible representations of Leavitt path algebras

695. Adams differentials via the secondary Steenrod Algebra

696. Intersections, sums, and the Jordan-Hölder property for exact categories

697. Classification of affine points of symmetric manifolds

698. The spectral localizer for semifinite spectral triples

699. Relative vanishing theorems for -schemes

700. LOCALIZATIONS AND COMPLETIONS OF STABLE∞-CATEGORIES

701. Limits of Inductive Sequences of Toeplitz–Cuntz Algebras

702. Polynomial growth, comparison, and the small boundary property

703. Engineering 3D theories using the quantum affine algebra

704. Lattice isomorphisms of Leibniz algebras

705. Symmetries and strings of adjoint QCD 2

706. Q-system completion is a 3-functor

707. Extensions of the UHF-algebra of 2∞-type by C⁎-algebras with continuous scale

708. Seminormality, canonical modules, and regularity of cut polytopes

709. Evaluation of Brauer elements over local fields

710. Capacity and the quasicentral modulus

711. B\’ezoutians and the -degree

712. Idele class groups with modulus

713. Non-amenable tight squeezes by Kirchberg algebras

714. Chern-Simons Mini-course Notes

715. Elliptic classes, McKay correspondence and theta identities

716. Exceptional collections, t-structures, and categorical action of shifted affine algebra, case

717. BP-cohomology of projective Stiefel manifolds

718. The virtual intersection theory of isotropic Quot Schemes

719. Localised Module Frames and Wannier Bases from Groupoid Morita Equivalences

720. Lifting and restricting t-structures

722. On CW-complexes over groups with periodic cohomology

723. Приведенные анизотропные унитарные группы Уайтхеда гензелевых алгебр с делением со специальными полями вычетов их центров

724. Leavitt Path Algebras as Flat Bimorphic Localizations

725. Framed motives of algebraic varieties (after V. Voevodsky)

726. Arithmetic representations of mapping class groups

727. Symbol Length in Brauer Groups of Elliptic Curves

728. Regular local rings of dimension four and Gorenstein syzygetic prime ideals

729. Remarks on iterations of the -chain connected components construction

730. Tenfold topology of crystals: Unified classification of crystalline topological insulators and superconductors

731. Stability in graded rings associated with commutative augmented rings

732. Boundary quotient C*-algebras of semigroups

733. Calabi-Yau structures for multiplicative preprojective algebras

734. Twisted Alexander invariants of knot group representations

735. Classifying spaces for étale algebras with generators

736. Symmetry and Spectral Invariance for Topologically Graded C*-Algebras and Partial Action Systems

737. Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes

738. Further remarks on group-2-groupoids

739. Relative equivariant motives and modules

740. An essential base of the central types of the convex theory

741. Radical layer length and syzygy-finite algebras

742. On the motivic cohomology of singular varieties

743. Orientation data for moduli spaces of coherent sheaves over Calabi–Yau 3-folds

744. Conway Subgroup Symmetric Compactifications Redux

745. Diffeomorphisms of discs and the second Weiss derivative of BTop (-)

746. A uniform proof of the finiteness of the class group of a global field

747. An arithmetic count of the lines meeting four lines in 퐏³

748. One numerical obstruction for rational maps between hypersurfaces

749. REMARKS ON THE HODGE FILTRATION IN NON-ABELIAN CHABAUTY

750. Localizations and completions of stable -categories

751. The Cuntz semigroup and strict comparison

752. Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

753. Order Unit Equivalences and Structural Properties of Leavitt Path Algebras

754. A note on the regular ideals of Leavitt path algebras

755. Endofunctors and Poincaré–Birkhoff–Witt theorems

756. Reduction techniques of singular equivalences

757. Length functions on groups and rigidity

758. 2–Segal spaces as invertible infinity-operads

759. The Borel -equivariant -local sphere

760. The integral polytope group

761. Q-system completion for C* 2-categories

762. Standard monomial theory and toric degenerations of Richardson varieties in flag varieties

763. Dualities in Refined Grothendieck Polynomials

764. A Stably Irrational (2,3)-Complete Intersection Fourfold over

765. The cohomology invariant for class DIII topological insulators

766. Nisnevich local Good compactifications

767. Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

768. and some applications on orbifolds

769. Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant

770. C∗-algebras of endomorphisms of groups with finite cokernel and partial actions

771. Universal Triviality of the Chow Group of 0-cycles and the Brauer Group

772. Derived universal Massey products

773. Strong Morita equivalences for completely positive linear maps and GNS-C*-correspondences

774. C*-blocks and crossed products for classical p-adic groups

775. Lower bounds on Betti numbers

776. On stably finiteness for -algebras of exponential solvable Lie groups

777. Volume of line bundles via valuation vectors (different from Okounkov bodies)

778. Non-commutative Persistent Homology

779. Support varieties and modules of finite projective dimension for modular Lie superalgebras

780. Quantum cohomology of symplectic flag manifolds

781. Cohomology and deformations of O-operators on Hom-associative algebras

782. Exact Krull–Schmidt categories with finitely many indecomposables

783. On Ceresa cycles of Fermat curves

784. Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up

785. Multicellularity of delicate topological insulators

786. Oriented pro- groups with the Bogomolov property

787. The composition of R. Cohen’s elements and the third periodic elements in stable homotopy groups of spheres

788. Strictly Commutative Complex Orientations of

789. PROGRÈS RÉCENTS SUR LA CONJECTURE DE ZAGIER ET LE PROGRAMME DE GONCHAROV

790. The cell-dispensability obstruction for spaces and manifolds

791. Derived Langlands VIII: Local GLn

792. On spectral flow and Fermi arcs

793. Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology

794. The symplectic s-cobordism conjecture: a summary

795. The -local stable homotopy category

796. Volume function and Mahler measure of exact polynomials

797. Not just an idle game”(the story of higher dimensional versions of the Poincar {\’e} fundamental group)

798. On residual and stable coordinates

799. Bowditch Taut Spectrum and dimensions of groups

800. Mixed Hodge structures on cohomology jump ideals

801. 2–Segal objects and the Waldhausen construction

802. Gopakumar–Vafa type invariants on Calabi–Yau 4-folds via descendent insertions

803. Homotopy Spectra and Diophantine Equations

804. Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2

805. On the Baum–Connes conjecture for groups acting on CAT (0)-cubical spaces

806. Toroidal and Elliptic Quiver BPS Algebras and Beyond

807. Valuation rings are derived splinters

808. Reproducing properties of lattice orbits of nilpotent Lie groups and strict comparison of projections

809. -algebras: structure and classification

810. THE CONSTRUCTION OF CONTRAVARIANT, RIGHT-ALMOST SUB-ADMISSIBLE, RIGHT-ABELIAN RINGS

811. My Unforgettable Early Years at the Institute

812. The Brauer group of a valuation ring

813. The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra

814. A norm theorem for differential forms

815. AT-algebras from fiberwise essentially minimal zero-dimensional dynamical systems

816. On the length of cohomology spheres

817. Some results on the second relative homology of Leibniz algebras

818. Tracial approximate divisibility and stable rank one

819. Research project on Weil-étale cohomology

820. Tracial topological rank zero and stable rank one for certain tracial approximation C∗-algebras

821. Supports for constructible systems

822. Frobenius C*-algebras and local adjunctions of C*-correspondences

823. Tate motives on Witt vector affine flag varieties

824. The Relative Nuclear Dimension of C*-Algebras, and the Nuclear Dimension of Generalised Toeplitz Algebras

825. C*-dynamical rapid decay

826. Algorithms for arithmetic groups with the congruence subgroup property

827. Some Applications of a Duality in Cyclic Homology

828. Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian

829. A purely infinite Cuntz-like Banach -algebra with no purely infinite ultrapowers

830. A comparison between the Bismut-Lott torsion and the Igusa-Klein torsion

831. A note on special cubic fourfolds of small discriminants

832. An algebraic model for rational naïve-commutative ring SO (2)-spectra and equivariant elliptic cohomology

833. Irrational noncommutative solenoids and their finitely generated projective modules

834. Central extensions by K 2 and factorization line bundles

835. On tracial -stability of simple non-unital C*-algebras

836. On the category of algebras over a finite direct product of commutative rings

837. A note on the quasi-diagonality of inverse semigroup reduced C*-algebras

838. OSNOVNYE REDUKCII V ZADAQE OPISANI NORMAL^ NYH PODGRUPP

839. The Gromov-Lawson index and the Baum-Connes assembly map

840. Alcove Paths and Gelfand–Tsetlin Patterns

841. Invertibility for Some Homotopy Invariant Functors Related to Roe Algebras

842. On the indecomposability of a remarkable new family of modules appearing in Galois theory

843. Essential normality of Bergman modules over intersections of complex ellipsoids

844. A KK-theoretic perspective on deformed Dirac operators

845. Beyond Diophantine Wannier diagrams: Gap labelling for Bloch–Landau Hamiltonians

846. An optimal 8th order Newton’s-type method with basin of attraction

847. IC rings and transitivity of perspectivity

848. Grothendieck groups in extriangulated categories

849. Batalin-Vilkovisky and gravity algebras on Poisson manifolds with semisimple modular symmetry

850. The Underlying Fiber Bundle Geometry of the CAM Gauge Model of the Standard Model of Particle Physics: $$\pmb {SU (3)} $$ SU (3)

851. A topological invariant for continuous fields of Cuntz algebras

852. eigentools: A Python package for studying differential eigenvalue problems with an emphasis on robustness

853. Algorithmic theory of solvable groups

854. Localization of certain odd-dimensional manifolds with torus actions

855. Quasimaps and stable pairs

856. Universal degeneracy classes for vector bundles on P1 bundles

857. On Hom-F-manifold algebras and quantization

858. Stability of certain relations of three unitaries in C∗-algebras

859. UNIVERSAL SYSTEMS AND THE INVERTIBILITY OF NORMAL FUNCTORS

860. Schubert Products for Permutations with Separated Descents

861. Applications to A 1 -enumerative geometry of the A 1 -degree

862. The intersection theory of the moduli stack of vector bundles on

863. The Brauer–Manin Obstruction for Zero-Cycles on K3 Surfaces

864. The Rouquier Dimension of Quasi-Affine Schemes

865. Hodge theory on Alexander invariants–a survey

866. On the homotopy type of L‐spectra of the integers

867. CASTELNUOVO-MUMFORD REGULARITY AND SCHUBERT GEOMETRY

868. An extension theory for partial groups

869. The Tamarkin–Tsygan calculus of an associative algebra à la Stasheff

870. The local cohomology spectral sequence for topological modular forms

871. Singular cohomology from supersymmetric field theories

872. Twisted pre-lie algebras of finite topological spaces

873. On the Non-vanishing of the Powers of the Euler Class for Mapping Class Groups

874. On absolute algebraic geometry the affine case

875. Chern-Weil theory for singular foliations

876. The topological nilpotence degree of a Noetherian unstable algebra

877. Strongly self-absorbing algebras

878. Chain level proof for the isomorphism between Lie and Hochschild homologies

879. Geometric criteria for -connectedness and applications to norm varieties

880. Systematic generation of Hamiltonian families with dualities

881. Divisibility results for zero-cycles

882. Local duality for the singularity category of a finite dimensional Gorenstein algebra

883. Numerical radius in Hilbert -modules

884. One-Relator Maximal Pro-p Galois Groups and the Koszulity Conjectures

885. Robust fault tolerant optimal predictive control of hybrid actuators with time‐varying delay for industrial robot arm

886. Limits and singularities of normal functions

887. R-coactions on -algebras

888. Associated varieties for real reductive groups

889. Analytic bundle structure on the idempotent manifold

890. On supercharacter theoretic generalizations of monomial groups and Artin’s conjecture

891. On Leavitt inverse semigroups

892. LOCAL GLn

893. The equivariant Atiyah class

894. PATTERNS IN THE HOMOLOGY OF ALGEBRAS: VANISHING, STABILITY, AND HIGHER STRUCTURES

1. Bimonoidal Categories, -Monoidal Categories, and Algebraic -Theory

2. Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory

3. Exploring the Beginnings of Algebraic K-Theory

4. The algebraic K-theory of the group ring of the Klein bottle group

5. K-theory of valuation rings

6. A computational reduction for many base cases in profinite telescopic algebraic -theory

7. The Quillen-Lichtenbaum conjecture connects algebraic K-theory to Étale cohomology.

8. Homotopy Mackey functors of equivariant algebraic -theory

9. ALGEBRAIC K-THEORY FROM THE VIEWPOINT OF MOTIVIC HOMOTOPY THEORY

10. On transfer maps in the algebraic K-theory of spaces

11. ALGEBRAIC K-THEORY AND CHROMATIC HOMOTOPY THEORY

12. Homogeneous spaces, algebraic -theory and cohomological dimension of fields

13. BLOCH GROUPS, ALGEBRAIC K-THEORY, UNITS, AND NAHM’S CONJECTURE GROUPES DE BLOCH, K-THÉORIE ALGÉBRIQUE, UNITÉS ET …

14. K-theory and polynomial functors

15. Representation theory and Higher Algebraic K-theory xxv+ 442 pages, Chapman and Hall, 2007

16. The reductive Borel-Serre compactification as a model for unstable algebraic K-theory

17. A brief introduction to Algebraic K-theory

18. A universal characterization of noncommutative motives and secondary algebraic K-theory

19. K-theory of non-archimedean rings II

20. On the K–theory of coordinate axes in affine space

21. Localization, monoid sets and K-theory

22. K-theory of admissible Zariski-Riemann spaces

23. Noncommutative Differential K-theory

24. Multifunctorial Inverse -Theory

25. On curves in K-theory and TR

26. Constructing K-Theory Spectra from Algebraic Structures with a Class of Acyclic Objects

27. Hermitian K-theory via oriented Gorenstein algebras

28. A JOURNAL OF THE K-THEORY FOUNDATION

29. Bokstedt periodicity generator via K-theory

30. Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras

31. REGENSBURG RESEARCH SEMINAR SS 2021 HERMITIAN K-THEORY OF RINGS

32. A counterexample to vanishing conjectures for negative K-theory

33. Classes in Zakharevich K-groups constructed from Quillen K-theory

34. K-theory of right-angled Hecke C*-algebras

35. The standard realizations for the K-theory of varieties

36. K-theory and the singularity category of quotient singularities

37. Homology and K-theory of dynamical systems I. Torsion-free ample groupoids

38. Equivariant Grothendieck–Riemann–Roch and localization in operational K-theory

39. The homotopy limit problem and the cellular Picard group of Hermitian K-theory

40. Constructing K-theory spectra from algebraic structures with a class of acyclic objects

41. Relative -theory for -algebras

42. On the Chern character in Higher Twisted K-theory and spherical T-duality

43. Unstable operations on K-theory for singular schemes

44. a review of From categories to homotopy theory by Richter, Birgit

45. A Geometric Model for Real and Complex Differential K-theory

46. Problems in general K-theory

47. Nilpotent invariance of semi-topological K-theory of dg-algebras and the lattice conjecture

48. Quantum -theory and -Difference equations

49. The tangent complex of K-theory

50. The 퐾’–theory of monoid sets

51. Additive operations between connective K-theory and Chow theory

52. تصفح اقسام الموقع

53. Equivariant K-theory classes of matrix orbit closures

54. Algebraic connective K-theory of a Severi-Brauer variety with prescribed reduced behavior

55. K – 1 and Higher K ~ -Groups of Cones of Smooth Projective Plane Curves

56. K-homology and K-theory of pure Braid groups

57. Remarks on the K-theory of C*-algebras of products of odometers

58. The plethory of operations in complex topological K-theory

59. Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

60. Uniqueness of differential characters and differential K-theory via homological algebra

61. Genuine-commutative ring structure on rational equivariant -theory for finite abelian groups

62. Seminar: From Hochschild homology to topological Hochschild homology

63. Intersection K-theory

64. -hyperbolicity of homotopy groups via -theory

65. The topological Hochschild homology of algebraic K-theory of finite fields

66. Invariants of algebraic tori of degree and weight 2

67. Supersymmetric Euclidean field theories and K-theory

68. Quantum K-theory of quiver varieties and many-body systems

69. The K-theory of the conjugation action

70. A remark on relative Gersten’s complex for Milnor -theory

71. Virtual excess intersection theory

72. Efimov K-theory of Diamonds

73. Back stable K-theory Schubert calculus

74. Note on linear relations in Galois cohomology and étale -theory of curves

75. Quantum -Theory of Grassmannians and Non-Abelian Localization

76. Homology and K-theory of dynamical systems. II. Smale spaces with totally disconnected transversal

77. Homological Lie brackets on moduli spaces and pushforward operations in twisted K-theory

78. Homomorphisms of C*-algebras and their K-theory

79. ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

80. Quantization of Edge Currents Along Magnetic Interfaces: AK -Theory Approach

81. K-Theory of Approximately Central Projections in the Flip Orbifold

82. On the quantum K-theory of the quintic

83. SYLLABUS: MATH 808F REPRESENTATIONS OF HECKE ALGEBRAS SPRING 2021

84. Bott periodicity

85. Hermitian K-theory of stable∞-categories

86. The stable algebra of (nonnegative) matrices

87. Notes on the ℓp-Toeplitz algebra on ℓp (ℕ)

88. AN INTODUCTORY COURSE ON MOTIVIC HOMOTOPY THEORY AND RATIONAL MIXED MOTIVES

89. The Segal conjecture for topological Hochschild homology of Ravenel spectra

90. -theory and equivariant spectral triple for the quantum group for complex deformation parameters

91. Multiplicative equivariant -theory and the Barratt-Priddy-Quillen theorem

92. On the Extension of Algebraically Smooth Domains

93. K-theory for semigroup C*-algebras and partial crossed products

94. Comments on Vladimir Voevodsky’s biologically motivated works

95. Milnor -theory of -adic rings

96. 퐾-theory and topological cyclic homology of henselian pairs

97. Equivariant eta forms and equivariant differential K-theory

98. Obstructions to matricial stability of discrete groups and almost flat K-theory

99. Unified topological characterization of electronic states in spin textures from noncommutative K-theory

100. A Gillet-Waldhausen Theorem for chain complexes of sets

101. Dense quasi-free subalgebras of the Toeplitz algebra

102. The Motivic Segal-Becker Theorem

103. An additivity theorem for cobordism categories

104. Equivariant -theory of toric orbifolds

105. SEMINAR ON GEOMETRIC REPRESENTATION THEORY OF WEYL GROUPS

106. The Chern class for and the cyclic quantum dilogarithm

107. BPS Indices, Modularity and Perturbations in Quantum K-theory

108. Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds

109. Graded K-theory and K-homology of relative Cuntz–Pimsner algebras and graph C⁎-algebras

110. Cobordism-framed correspondences and the Milnor 퐾-theory

111. The J-homomorphism

112. Deformation theory of perfect complexes and traces

113. A stable -category for equivariant -theory

114. Multiplicative quantum cobordism theory

115. K-theory

116. Asymptotics of Nahm sums at roots of unity

117. On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions

118. On the infinite loop spaces of algebraic cobordism and the motivic sphere

119. On the Riemann-Roch formula without projective hypotheses

120. Motivic Chern classes and K‐theoretic stable envelopes

121. a review of Functoriality of groupoid quantales. II by Quijano, Juan Pablo; Resende, Pedro

122. Burnside form rings and the K-theory of forms

123. MSC

124. Diffeomorphisms of odd-dimensional discs, glued into a manifold

125. RINGS WHOSE GENERAL LINEAR GROUPS DO NOT EXHIBIT HOMOLOGICAL STABILITY

126. Arnold Conjecture and Morava K-theory

127. A Combinatorial Chevalley Formula for Semi-Infinite Flag Manifolds and its Applications

128. Endomorphisms of the projective plane

129. Cohomology of the moduli stack of algebraic vector bundles

130. Quantum K-theory of flag varieties via non-abelian localization

131. Asymptotic representations of shifted quantum affine algebras from critical K-theory

132. Chow filtration on representation rings of algebraic groups

133. On universal stably free modules in positive characteristic

134. The additivity of traces in stable -categories

135. The shortest vector problem and tame kernels of cyclotomic fields

136. Differential KO-theory: constructions, computations, and applications

137. Generalized stability for abstract homotopy theories

138. K-Theory of Z2-Graded Banach Categories. II

139. On Endomorphisms of Complex Cobordism, Adams Operations in K-Theory, and the Im(J) Spectrum

140. Local abelian Kato-Parshin reciprocity law: A survey

141. A note on twisted group rings and semilinearization

142. An arithmetic Lefschetz–Riemann–Roch theorem

143. A remark on singular cohomology and sheaf cohomology

144. PCMI GRADUATE SUMMER SCHOOL-ASPECTS OF MOTIVIC COHOMOLOGY

145. The Atiyah-Hirzebruch Spectral Sequence

146. Chow dilogarithm and reciprocity laws

147. A version of Waldhausen’s chromatic convergence for

148. a review of Ambidexterity and height by Carmeli, Shachar; Schlank, Tomer M.; Yanovski, Lior

149. Equivariant K-Theory

150. Some Hermitian K-groups via geometric topology

151. Derived categories of nodal del Pezzo threefolds

152. Motivic Hypercohomology Solutions in Field Theory and Applications in H-States

153. On topological Hochschild homology of the ‐local sphere

154. THH and TC are (very) far from being homotopy functors

155. Pro-Generative Adversarial Network and V-stack Perceptron, Diamond Holographic Principle, and Pro-Temporal Emergence

156. Verschiebung maps among K-groups of truncated polynomial algebras

157. Michael Atiyah’s work in algebraic topology

158. The C2-Effective Spectral Sequence for C2-Equivariant Connective Real K-Theory

159. EXAMPLES OF TENSOR-TRIANGULATED CATEGORIES

160. Morse theory for loop-free categories

161. Split extensions and KK-equivalences for quantum projective spaces

162. Injective capacity and cogeneration

163. Detecting and describing ramification for structured ring spectra

164. Triangulations of Manifolds and Combinatorial Bundle Theory: An Announcement

165. 3d mirror symmetry for instanton moduli spaces

166. On Novodvorskii’s theorem and the Oka principle

167. Comparison of Waldhausen constructions

168. Shadows are Bicategorical Traces

169. Locally equivalent quasifree states and index theory

170. Topological Hochschild homology of truncated Brown-Peterson spectra I

171. Reducers and K0 with support

172. The mod Margolis homology of the Dickson–Mùi algebra

173. A non-commutative analogue of Clausen’s view on the idèle class group

174. The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices

175. Controlled -theory II: a Mayer-Vietoris principle and the UCT

176. Band width and the Rosenberg index

177. The 2-leg vertex in K-theoretic DT theory

178. Categorical and K-theoretic Hall algebras for quivers with potential

179. Generators for categorical Hall algebras of surfaces

180. Topology and Localization

181. Das Merkurjev-Suslin Theorem

182. ON THE DERIVATION OF HOMEOMORPHISMS

183. NK_1 of Bak’s unitary group over Graded Rings

184. An index theorem for quotients of Bergman spaces on egg domains

185. HOMOLOGICAL STABILITY MINICOURSE LECTURE 3: HOMOLOGICAL STABILITY FOR AUTOMORPHISM GROUPS

186. A-type quiver varieties and ADHM moduli spaces

188. The arc-topology

189. Categorical models of unstable G-global homotopy theory

190. An algebraic approach to the algebraic Weinstein conjecture

191. GKM theory for orbifold stratified spaces and application to singular toric varieties

192. RATIONAL EQUIVALENCE OF CURVES ON A SEVERI–BRAUER VARIETY

193. The Bounded Isomorphism Conjecture for Box Spaces of Residually Finite Groups

194. Associative algebra twisted bundles over compact topological spaces

195. Chiral algebra of the Argyres-Douglas theory from M5 branes

196. Homotopy type of the unitary group of the uniform Roe algebra on

197. Moduli spaces of stable sheaves over quasipolarized surfaces, and the relative Strange Duality morphism

198. The mod-2 connected KU-homology of the Eilenberg-MacLane space K (Z/2, 2)

199. Locally Cartesian localisations and the higher Thomason model structure

200. An introductory course on Voevodsky’s motivic complexes

201. Bounded reduction of orthogonal matrices over polynomial rings

202. Cobasically discrete modules and generalizations of Bousfield’s exact sequence

203. The Bounded Isomorphism Conjecture for Spaces of Graphs with Large Girth

204. DERIVED ALGEBRAIC GEOMETRY

205. Quantum Toroidal Algebra Associated with m | n

206. Explicit construction of Atiyah-Singer indices for maximally hypoelliptic operators on contact manifolds

207. Lift of fractional D-brane charge to equivariant Cohomotopy theory

208. The gamma filtrations for the spin groups

209. A note on quotient full commutative near-field spaces over a near-field

210. From algebraic geometry to machine learning

211. Zeta-values of one-dimensional arithmetic schemes at n< 0

212. SPLITTING OF VECTOR BUNDLES VIA FOURIER–MUKAI THEORY

213. Symmetric Functions and q-Products with an Application to Theoretical Physics

214. The symplectic geometry of higher Auslander algebras: Symmetric products of disks

215. Brauer Groups of Algebraic Stacks and GIT-Quotients

216. Computation of Some K-groups

217. Computations of relative topological coHochschild homology

218. Perfectoid Diamonds and n-Awareness. A Meta-Model of Subjective Experience

219. Mini-Workshop: Superpotentials in Algebra and Geometry

220. Operator Formalism of Gauge Theory

221. Identities of Mahler measures of certain polynomials defining curves of arbitrary genus

222. The Gromov–Lawson codimension 2 obstruction to positive scalar curvature and the C∗–index

223. 超幾何関数と関数

224. Dimensioned Algebra: the mathematics of physical quantities

225. The cancellation of projective modules of rank 2 with a trivial determinant

226. Outline for a course in stable homotopy theory

227. Virtual intersection theories

228. Noncommutative Hodge conjecture

229. Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties

230. A Cuntz-Pimsner model for the C⁎-algebra of a graph of groups

231. On K (1)-local TR

232. Symmetries of the C⁎-algebra of a vector bundle

233. On extension of the motivic cohomology beyond smooth schemes

234. Twisted Fourier–Mukai partners of Enriques surfaces

235. Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties

236. Langlands Reciprocity for C∗-Algebras

237. On the K-Theoretic Hall Algebra of a Surface

238. Characteristic classes of Borel orbits of square-zero upper-triangular matrices

239. Local Gorenstein duality in chromatic group cohomology

240. A survey of the additive dilogarithm

241. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields

242. A note on splitting fields for twisted group algebras of finite groups over a number field

243. Toward the Reverse Decomposition of Unipotents. II. The Relative Case

244. Generators for K-theoretic Hall algebras of quivers with potential

245. The relative L2 index theorem for Galois coverings

246. Coniveau filtrations and Milnor operations Qn

247. Invariant differential forms on complexes of graphs and Feynman integrals

248. Codes, Vertex Operators and Topological Modular Forms

249. A Lie Algebra Approach Towards Classification of Complex Vector Bundles of Finite Rank on a Smooth Complex Manifold

250. Cohomological invariants for central simple algebras of degree 8 and exponent 2

251. A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions

252. Motivic Springer Theory

253. E-infinity structure in hyperoctahedral homology

254. Universal -algebras with the local lifting property

255. Stable moduli spaces of hermitian forms

256. On the range of the relative higher index and the higher rho-invariant for positive scalar curvature

257. A genus formula for the positive étale wild kernel

258. C*-algebraic Schur product theorem, P\'{o} lya-Szeg\H {o}-Rudin question and Novak’s conjecture

259. Morita duality emerging from quasi-abelian categories

260. New Spaces in Mathematics: Formal and Conceptual Reflections

261. Positive scalar curvature and an equivariant Callias-type index theorem for proper actions

262. Strongly Quasi-local algebras and their -theories

263. Fundamental classes in motivic homotopy theory

264. The spectrum of equivariant Kasparov theory for cyclic groups of prime order

265. Crystal structures for symmetric Grothendieck polynomials

266. Generalized Homology and Cohomology Theories

267. Harmonic 푪-Categories of Longitudinal Pseudo Differential Operators over Flag Variety

268. Strong version of Snake Lemma in exact categories

269. Random plane partitions and corner distributions

270. The Steinberg representation is irreducible

271. Algebraic Spivak’s theorem and applications

272. Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic

273. Many finite-dimensional lifting bundle gerbes are torsion

274. Some Connectedness Results for Co-Algebraically Complete Isometries

275. Cancellation of finite-dimensional Noetherian modules

276. Galois module structure of square power classes for biquadratic extensions

277. ON GENERIC FLAG VARIETIES FOR ODD SPIN GROUPS

278. Selected topics of Friedrich Hirzebruch’s collected works

279. A certain structure of Artin groups and the isomorphism conjecture

280. Low Dimensional Supersymmetric Gauge Theories and Mathematical Applications

281. The de Rham-Fargues-Fontaine cohomology

282. A multiplicative comparison of Mac Lane homology and topological Hochschild homology

283. The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups

284. The Farrell–Jones conjecture for normally poly-free groups

285. COMPLEXITY ESTIMATES FOR THE RELATION OF COINCIDENCE OF MODEL-THEORETIC PROPERTIES WITH AN APPLICATION TO SEMANTIC CLASSES

286. Algebraic Geometry and Representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science

287. The completion and local cohomology theorems for complex cobordism for all compact Lie groups

288. On the First, the Second and the Third Stems of the Stable Homotopy Groups of Spheres

289. K-Groups of Trivial Extensions and Gluings of Abelian Categories

290. The General Formula for the Ehrhart Polynomial of Polytopes with Applications

291. C*-Algebraic higher Signature on Non-Witt space

292. Algebraic realization of actions of some finite groups

293. PRIMENESS OF SIMPLE MODULES OVER PATH ALGEBRAS AND LEAVITT PATH ALGEBRAS

294. The” Grothendieck to Lascoux” conjecture

295. TWISTED THOM ISOMORPHISMS IN BALMER-WITT THEORY

296. Euler characteristic of stable envelopes

297. Maximal orthogonal grassmannians of quadratic forms of dimensions up to

298. On the Bloch groups of nite elds and their quotients by the relation corresponding to a tetrahedral symmetry

299. Elliptic stable envelopes

300. A cancellation theorem for modules over integral group rings

301. M/F-theory as Mf-theory

302. The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

303. A moving lemma for algebraic cycles with modulus and contravariance

304. Relating diffraction and spectral data of aperiodic tilings: Towards a Bloch theorem

305. Peirce and Grothendieck on Mathematical Cognition: A Merging of the Pragmaticist Maxim and Topos Theory

306. On algebraic Chern classes of flat vector bundles

307. Algebra & Number Theory

308. Computing homological residue fields in algebra and topology

309. Unramified Cohomology of Quadrics in Characteristic Two

310. The complete classification of unital graph C∗-algebras: Geometric and strong

311. Motivic cohomology of semistable varieties

312. Realising π∗ eR–algebras by global ring spectra

313. ξ -Phantom Maps in ( n + 2 ) -Angulated Categories

314. A non-commutative analogue of Clausen’s view on the id\{e} le class group

315. GALOIS AND HOPF GALOIS: TOPICS

316. EQUIVARIANT CARTAN HOMOTOPY FORMULA FOR THE CROSSED PRODUCT OF DG ALGEBRA

317. Higher Auslander correspondence for exact categories

318. C*-Algebras of Right LCM One-Relator Monoids and Artin–Tits Monoids of Finite Type

319. Some examples of EP operators

320. Elliptic classes on Langlands dual flag varieties

321. Adams operations Ψk on bup*(Bℤ/p)^ n

322. MACKEY FUNCTORS, EQUIVARIANT ORIENTATION, AND A COMPLETION THEOREM

323. Commutators of elementary subgroups: curiouser and curiouser

324. Noncommutative resolutions and intersection cohomology for quotient singularities

325. Understanding Quaternions from Modern Algebra and Theoretical Physics

326. The M\” obius function on Affine Grassmannian elements

327. The strong Suslin reciprocity law

328. STRONG BOUNDEDNESS OF S-ARITHMETIC, SPLIT CHEVALLEY GROUPS SANDWICH THEOREMS, COMPACTNESS AND BAD PRIMES

329. Some examples of EP operators

330. Elliptic classes on Langlands dual flag varieties

331. Adams operations Ψk on bup*(Bℤ/p)^ n

332. MACKEY FUNCTORS, EQUIVARIANT ORIENTATION, AND A COMPLETION THEOREM

333. Commutators of elementary subgroups: curiouser and curiouser

334. Noncommutative resolutions and intersection cohomology for quotient singularities

335. Understanding Quaternions from Modern Algebra and Theoretical Physics

336. The M\” obius function on Affine Grassmannian elements

337. The strong Suslin reciprocity law

338. STRONG BOUNDEDNESS OF S-ARITHMETIC, SPLIT CHEVALLEY GROUPS SANDWICH THEOREMS, COMPACTNESS AND BAD PRIMES

339. Morphisms of rational motivic homotopy types

340. The homotopy types of free racks and quandles

341. Generalized Extension in the Geometry of Goncharov Motivic and Grassmannian Configuration Chain Complexes

342. Bounds on Sectional Curvature and Interactions with Topology

343. An index theorem for higher orbital integrals

344. Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions

345. On Phases of 3d Chern-Simons-Matter Theories

346. Irreducible spanning representations of vector Hilbert spaces

347. SOME LIMITS IN MOTIVIC SPECTRA I

348. Adams Operations in Commutative Algebra

349. A weak Lefschetz result for Chow groups of complete intersections

350. Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: Elliptic curves, Barsotti-Tate groups, and other examples

351. Elliptic cohomology is unique up to homotopy

352. The Ring Structure of Twisted Equivariant KK-Theory for Noncompact Lie Groups

353. Shuffle algebras for quivers and wheel conditions

354. Non-homogeneous extensions of Cantor minimal systems

355. Stability conditions in families

356. Multiplicative Tate Spectral Sequences

357. Motivic cohomology of fat points in Milnor range via formal and rigid geometries

358. Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials

359. Equivariant Chow-Witt groups and moduli stacks of elliptic curves

360. Application of Schur-Weyl duality to Springer theory

361. Twisted motivic Chern class and stable envelopes

362. A local to global principle for higher zero-cycles

363. ‐triviality of groups of type arising from the first Tits construction

364. THE THOM ISOMORPHISM

365. Anomalous symmetries of classifiable C*-algebras

366. Smooth weight structures and birationality filtrations on motivic categories

368. Renormalized Index Formulas for Elliptic Differential Operators on Boundary Groupoids

369. The Jiang–Su algebra

370. On the characterization of paths

371. Virtual Coulomb branch and vertex function

372. Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type

373. SUPER-COVARIANT POSITIVITY FOR CO-EMPTY, QUASI-COMBINATORIALLY ORTHOGONAL MANIFOLDS

374. ( SL ( N ) , q ) -Opers, the q -Langlands Correspondence, and Quantum/Classical …

375. THE UNIQUENESS OF ONTO SYSTEMS

376. Post-Lie-Magnus expansion and BCH-recursion

377. Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers

378. Equivariant-absorption theorem for exact groups

379. Gromov-Witten theory and invariants of matroids

380. Cauchy Formulas and Billey’s Formulas for Generalized Grothendieck polynomials

381. Chow Groups of Quadrics in Characteristic Two

382. Stable set rings which are Gorenstein on the punctured spectrum

383. A Bit About Infinite Loop Spaces

384. Motivic Chern classes of cones

385. Class field towers and minimal models

386. Generalizing dendriform algebras: , , and Rota–Baxter operators

387. HISTORY OF HOMOLOGY

388. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry

389. Double nested Hilbert schemes and the local stable pairs theory of curves

390. Fractional quantum numbers, complex orbifolds and noncommutative geometry

391. Compactly supported A1-Euler characteristic and the Hochschild complex

392. A1-invariance of non-stable K1-functors in the equicharacteristic case

393. Equivariant Picard groups and Laurent polynomials

394. Localized operations on T-equivariant oriented cohomology of projective homogeneous varieties

395. Stably projectionless Fra\” iss\’e limits

396. Co-actions, Isometries, and isomorphism classes of Hilbert modules

397. The Canonical Form of Multiplication Modules

398. The Possible Temperatures for Flows on a Simple AF Algebra

399. Homological stability minicourse

400. A NOTE ON THE NON-TRIVIAL ELEMENTS IN THE COHOMOLOGY GROUPS OF THE STEENROD ALGEBRA

401. Fields of dimension one algebraic over a global or local field need not be of type C1

402. Simple homotopy theory and nerve theorem for categories

403. Torsion orders of Fano hypersurfaces

404. TATE’S CONJECTURE AND THE TATE–SHAFAREVICH GROUP OVER GLOBAL FUNCTION FIELDS

405. Stability over cDV singularities and other complete local rings

406. Grothendieck groups of -exangulated categories and a modified Caldero-Chapoton map

407. The third homology of of real quadratically closed fields

408. Twisted Hilbert schemes and division algebras

409. Clean single-valued polylogarithms

410. A Flavour of Non Commutative Advance Algbra Part-I

411. Towards Vorst’s conjecture in positive characteristic

412. Triangulated categories and weight structures Mikhail Bondarko, St. Petersburg State University

413. Split Injectivity of A-Theoretic Assembly Maps

414. Spectra of Tensor Triangulated Categories over a Category Algebra—A New Approach

415. Topological Quantum D-Branes and Wild Embeddings from Exotic Smooth 4

416. A mod k index theorem for signature operators

417. A categorified Dold-Kan correspondence

418. The algebraic theory of fuchsian singularties

419. A pair of dual Hopf algebras on permutations

420. Quantum differential and difference equations for

421. The coarse Novikov conjecture for extensions of coarsely embeddable groups

422. Gabber’s presentation lemma over noetherian domains

423. A new approach in index theory

424. Non-Commutative Geometry and Cyclic Homology

425. Hopf maps and K (1)-local Sp-bordism

426. Algebra & Number Theory

427. Strong boundedness of for rings of S-algebraic integers with infinitely many units

428. Maximum Likelihood Degree, Complete Quadrics, and -Action

429. Complex orientations and of complete DVRS

430. Local group-groupoids and local crossed modules

431. Hecke operators in Bredon (co) homology, K-(co) homology and Bianchi groups

432. Complex Rank 3 Vector Bundles on Complex Projective 5-Space

433. Chevalley groups over Dedekind domains and some problems for K2 (2, ZS)

434. A counterexample to the HK-conjecture that is principal

435. Sturmian subshifts and their C*-algebras

436. Tensor coaction functors

437. a review of Coherent nerves for higher quasicategories by Gindi, Harry

438. The Atiyah–Singer index theorem

439. On the classification of group actions on C*-algebras up to equivariant KK-equivalence

440. Singularities and Their Interaction with Geometry and Low Dimensional Topology

441. Strange Duality for elliptic surfaces

442. Rigidity for rigid analytic motives

443. Affine lines and advanced probabilistic model theory

444. FUNDAMENTAL THEOREMS FOR THH

445. Secondary cup and cap products in coarse geometry

446. Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic Curves

447. A note on Tannakian categories and mixed motives

448. On partial augmentations of elements in integral group rings

449. Dynamic asymptotic dimension for actions of virtually cyclic groups

450. A matrix viewpoint for various algebraic extensions

451. On order of vanishing of characteristic elements

452. Linkage of sets of cyclic algebras

453. Constructing and calculating Adams operations on topological modular forms

454. Topological models for stable motivic invariants of regular number rings

455. 2-vector bundles

456. DVO NA Q-KONSTRUKCI VALDHAUZENA DL SIMMETRIQESKIH MONOIDALЬNYH KATEGORI

457. Rational -Stability of Continuous -Algebras

458. Toric vector bundles: GAGA and Hodge theory

459. Classifying space for quantum contextuality

460. The noncommutative geometry of the Landau Hamiltonian: Differential aspects

461. Generation of the special linear group by elementary matrices in some measure Banach algebras

462. Equivariant algebraic index theorem

463. Cdh descent, cdarc descent, and Milnor excision

464. The -module structure of the homology of Brown-Gitler spectra

465. Orientations for DT invariants on quasi-projective Calabi–Yau 4-folds

466. Maruyoshi-Song Flows and Defect Groups of Theories

467. “Not Just an Idle Game”

468. Virasoro constraints for moduli spaces of sheaves on surfaces

469. On (co) ends in∞-categories

470. On the Uncountability of Minimal, Anti-Essentially Linear Vector Spaces

471. Derived Dimension Via τ-Tilting Theory

472. A Complete Semantics of and Its Translation to Isabelle

473. On abstract homomorphisms of some special unitary groups

474. The Devinatz-Hopkins Theorem via Algebraic Geometry

475. Categorical smooth compactifications and neighborhoods of infinity

476. Some Minimality Results for Sub-Continuously Noetherian, Contra-Continuously Banach, Hyperbolic Algebras

477. The Stembridge Equality for Skew Stable Grothendieck Polynomials and Skew Dual Stable Grothendieck Polynomials

478. Quaternion algebras

479. Mixed Witt rings of algebras with involution

480. Rigidity in étale motivic stable homotopy theory

481. Viva Fukaya!

482. Notes on the Brown-Douglas-Fillmore Theorem

483. R-equivalence on group schemes and non stable K 1-functors

484. Uniqueness of uniform decompositions in exact categories

485. Classifying dg-categories of matrix factorizations

486. A note on outer derivations of Leibniz algebras

487. Topological gaps by twisting

488. 3-form Yang-Mills based on 2-crossed modules

489. Dynamic asymptotic dimension and Matui’s HK conjecture

490. Higher -genera for proper actions and applications

491. A categorified excision principle for elliptic symbol families

492. Continuous Fredholm Theory, Regularities and Semiregularities

493. Noncommutative Borsuk–Ulam-type conjectures revisited

494. BGG category and -graded representation theory

495. Biquotient vector bundles with no inverse

496. The quantum disk is not a quantum group

497. Topological types of algebraic stacks

498. Schubert puzzles and integrability II: multiplying motivic Segre classes

499. On the Minimality of Positive Random Variables

500. Callias-type operators associated to spectral triples

501. On the subalgebra lattice of a Leibniz algebra

502. Crossed product approach to equivariant localization algebras

503. Blocks and vortices in the 3d ADHM quiver gauge theory

504. A Hopf Algebra on Permutations Arising from Super-Shuffle Product. Symmetry 2021, 13, 1010

505. Weighted Leavitt path algebras–an overview

506. An introduction to torsion subcomplex reduction

507. Eilenberg Mac Lane spectra as p-cyclonic Thom spectra

508. De Rham–Witt sheaves via algebraic cycles

509. Morihiko Saito

510. Transgression maps for crossed modules of groupoids

511. The New Results in n-injective Modules and n-projective Modules

512. Generalizing Quillen’s Theorem A

513. Oberwolfach Seminar Topological Cyclic Homology and Arithmetic Topological Cyclic Homology

514. An example of a Brauer–Manin obstruction to weak approximation at a prime with good reduction

515. Codimension 2 cycles on Severi–Brauer varieties and decomposability

516. Twisted crystallograpic T-duality via the Baum–Connes isomorphism

517. Approximate Pythagoras Numbers

518. Exploring Human-Computer Interaction in Mathematics: From Voevodsky’s Univalent Foundations of Mathematics to Mochizuki’s IUT-Theoretic Proof of the ABC …

519. Abelian varieties and number theory

520. Geometric structures and configurations of flags in orbits of real forms

521. REIDEMEISTER SPECTRUM OF CLASSICAL LINEAR GROUPS

522. Towards an ontology of design: lessons from C–K design theory and Forcing

523. Trace inequalities for Rickart C ∗ -algebras

524. Type D quiver representation varieties, double Grassmannians, and symmetric varieties

525. Lie Bi-Algebras on the Non-Commutative Torus

526. Super Dirac operator on the super fuzzy sphere sf (2| 2) in instanton sector using super Ginsparg-Wilson algebra

527. Topological modular forms and the absence of all heterotic global anomalies

528. Invariance properties of coHochschild homology

529. On the K(1)-local homotopy of tmf ∧ tmf

530. WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?

531. Further insights into the mysteries of the values of zeta functions at integers

532. Elliptic stable envelopes and 3d mirror symmetry

533. Higher rank K-theoretic Donaldson-Thomas Theory of points

534. Homotopy nilpotency of localized spheres and projective spaces

535. The large-scale fractal geometry of Riemannian moduli space

536. Comptes Rendus Mathématique

537. The -algebra of the quantum symplectic sphere

538. Categorification of the elliptic Hall algebra

539. Prime thick subcategories and spectra of derived and singularity categories of noetherian schemes

540. arXiv: Clean single-valued polylogarithms

541. Bijecting hidden symmetries for skew staircase shapes

542. On the Dimension of Non-Abelian Tensor Squares of -Lie Algebras

543. An Atiyah sequence for noncommutative principal bundles

544. Bott–Thom isomorphism, Hopf bundles and Morse theory

545. Structure of A2-fibrations having fixed point free locally nilpotent derivations

547. Polynomials from Combinatorial-theory

548. “Free rides” in Mathematics

549. Dan-Virgil Voiculescu at seventy

550. DT invariants from vertex algebras

551. The classifying space of the one‐dimensional bordism category and a cobordism model for TC of spaces

552. Wall-crossing for zero-dimensional sheaves and Hilbert schemes of points on Calabi–Yau 4-folds

553. Characteristic Classes and Quaternionic Flags

554. Non-associative magnetic translations from parallel transport in projective Hilbert bundles

555. Left multipliers of reproducing kernel Hilbert C⁎-modules and the Papadakis theorem

556. Extension classes of a mixed motive and subgroups of its motivic Galois group

557. Topological gaps by twisting

558. Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra

559. The role of Coulomb branches in 2D gauge theory

560. Structure constants for Chern classes of Schubert cells

561. Milnor-Witt sheaves and modules

562. A Criterion for Splitting of a Projective Module in Terms of Its Generic Sections

563. A Hopf Algebra on Permutations Arising from Super-Shuffle Product

564. Integral generalized equivariant cohomologies of GKM orbifolds and weighted Grassmann orbifold

565. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

566. On functorial (co) localization of algebras and modules over operads

567. Geometric and Representation Theoretic Aspects of -adic Motives

568. Voevodsky’s criterion for constructible categories of coefficients

569. The categorified Grothendieck–Riemann–Roch theorem

570. Annihilators of differential forms over over fields of characteristic p

571. Loop space homology of a small category

572. Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

573. Classifying Leavitt path algebras up to involution preserving homotopy

574. -hyperbolicity via homology

575. Continuity of the Mackey–Higson bijection

576. TOTALLY POSITIVE DEGENERACY FOR HOLOMORPHIC PATHS

577. Structure of relatively free trioids

578. Tautological classes of matroids

579. Linkage of sets of quaternion algebras in characteristic 2

580. A note on the non-trivial elements in the cohomology groups of the Steenrod algebra

581. On the splitting principle for cohomological invariants of reflection groups

582. Memorial Article for John Tate

583. Atiyah-Segal’s completion theorem

584. Analytic cyclic homology in positive characteristic

585. Representations of Algebras, Geometry and Physics

586. Non-torsion non-algebraic classes in the Brown–Peterson tower

587. Periodic self maps and thick ideals in the stable motivic homotopy category over at odd primes

588. Invariants of disordered semimetals via the spectral localizer

589. Fiberwise Poincaré–Hopf Theory and Exotic Smooth Structures on Manifold Bundles

590. Positive scalar curvature and strongly inessential manifolds

591. From nonabelian basechange to basechange with coefficients

592. Prismatic cohomology and -adic homotopy theory

593. On the dual of a -algebra and its comodules, with applications to comparison of some Bousfield classes

594. Semiorthogonal decomposition of

595. Generating solutions of a linear equation and structure of elements of the Zelisko group

596. Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension

597. Higher homological algebra and support varieties

598. Generalized Nets. An Overview of the Main Results and Applications

599. Algebra & geometry: an introduction to university mathematics

600. On Wedderburn principal theorem for Jordan algebra bundles

601. Filtered formal groups, Cartier duality, and derived algebraic geometry

602. Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups

603. Unramified cohomology, algebraic cycles and rationality

604. On the density of eigenvalues on periodic graphs

605. Tracing projective modules over noncommutative orbifolds

606. Cancellation and stability properties of generalized torsion modules

607. Coaction and double-copy properties of configuration-space integrals at genus zero

608. On stable rank of on coverings of finite bordered Riemann surfaces

609. Elliptic multiple polylogarithms in open string theory

610. Recollements of derived categories I: Construction from exact contexts

611. A HOPF ALGEBRA STRUCTURE ON THE COHOMOLOGY OF A UNIVERSAL GRASSMANNIAN

612. Invariants of linkage of modules

613. Codimension 2 transfer of higher index invariants

614. Quantization of Geometry

615. Simple generalized inductive limits of C*-algebras

616. Brackets by any other name

617. Optimal transport and unitary orbits in C⁎-algebras

618. Relatively divisible and relatively flat objects in exact categories

619. Homological Dimensions of Extriangulated Categories and Recollements

620. On derived equivalences and homological dimensions

621. Toric regulators

622. Relations for Grothendieck groups of -cluster tilting subcategories

623. Skew localizer and -flows for real index pairings

624. Cluster construction of the second motivic Chern class

625. 퐾-classes of Brill–Noether Loci and a Determinantal Formula

626. Strong linkage for function fields of surfaces

627. A certain class of pro -algebras and bounded elements of a Hilbert module

628. Existence of n-Auslander–Reiten sequences via a finiteness condition

629. Some recent advances in topological Hochschild homology

630. Multi-quadratic p-rational number fields

631. The real cycle class map

632. Asymptotically flat Fredholm bundles and assembly

633. The extension dimension of triangular matrix algebras

634. Topologie

635. Constraints on families of smooth 4–manifolds from Bauer–Furuta invariants

636. Degenerate versions of Green’s theorem for Hall modules

637. Coarse geometry and Callias quantisation

638. Seminar on L2-Invariants

639. CATEGORIES OVER ARTINIAN SUBALGEBRAS

640. Gerbes in Geometry, Field Theory, and Quantisation

641. What are motives for?

642. Existence of unimodular triangulations—positive results

643. Instanton Counting and Localization

644. A note on values of the Dedekind zeta-function at odd positive integers

645. Properties of the gradings on ultragraph algebras via the underlying combinatorics

646. Nodal quintic surfaces and lines on cubic fourfolds

647. EQUIVARIANT ORIENTATION AND A COMPLETION THEOREM

648. Elliptic stable envelopes of affine type quiver varieties

649. Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers

650. Higher rank Segre integrals over the Hilbert scheme of points

651. A Lichnerowicz theorem for singular foliations using blow-up groupoids

652. Rota-Baxter Hopf\pi-(co) algebras

653. Ê× Ö ËØ Ø Ñ ÒØ

654. Torsion motives

655. A sketch for derivators

656. Characteristic Classes

657. Noncommutative Riemann hypothesis

658. Exotic instantons in eight dimensions

659. Linear Combination of Composition Operators on Bergman and Korenblum Spaces

660. Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau’s twisting generalizations

661. Generalized NS-algebras

662. Weil-\’etale cohomology for arbitrary arithmetic schemes and . Part II: The special value conjecture

663. The derived dimensions and syzygy finite type

664. Random Simple-Homotopy Theory

665. Segal’s Gamma rings and universal arithmetic

666. DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS

667. УЧЕБНЫЙ СЕМИНАР ПО АБСТРАКТНОЙ ТЕОРИИ ГОМОТОПИЙ И ПРИЛОЖЕНИЯМ. ПРОГРАММА

668. Locally free twisted sheaves of infinite rank

669. Improved homological stability for certain general linear groups

670. Ehresmann semigroups whose categories are EI and their representation theory

671. A new equivalence between singularity categories of commutative algebras

672. A counterexample to the unit conjecture for group rings

673. Bismut-Cheeger eta form and higher spectral flow

674. A de Rham model for complex analytic equivariant elliptic cohomology

675. Green 2-functors

676. GREEN MONOIDS OVER SUPER-COMBINATORIALLY LINEAR TRIANGLES

677. Langton’s type Theorem on Algebraic Orbifolds

678. A Lattice Version of the Atiyah–Singer Index Theorem

679. The Mahler measure of a genus 3 family

680. Infinite-dimensional (dg) Lie algebras and factorization algebras in algebraic geometry

681. NOTE ON MOTIVIC COHOMOLOGY OF ANISOTROPIC REAL QUADRICS

682. Topology of the Space of SU (2)-Monopoles in ℝ3

683. Coefficients of the -equivariant complex cobordism ring

684. On Cofibrations of Permutative categories

685. The localization theorem for framed motivic spaces

686. The Heisenberg generalized vertex operator algebra on a Riemann surface

687. Isotropic stable motivic homotopy groups of spheres

688. Thom isomorphisms in triangulated motivic categories

689. A new homotopy invariant in time-reversal and twofold rotation symmetric systems

690. Derived categories of hyper-Kähler varieties via the LLV algebra

691. Group Theory

692. Beta families arising from a self map on

693. A case study of intersections on blowups of the moduli of curves

694. Anick type automorphisms and new irreducible representations of Leavitt path algebras

695. Adams differentials via the secondary Steenrod Algebra

696. Intersections, sums, and the Jordan-Hölder property for exact categories

697. Classification of affine points of symmetric manifolds

698. The spectral localizer for semifinite spectral triples

699. Relative vanishing theorems for -schemes

700. LOCALIZATIONS AND COMPLETIONS OF STABLE∞-CATEGORIES

701. Limits of Inductive Sequences of Toeplitz–Cuntz Algebras

702. Polynomial growth, comparison, and the small boundary property

703. Engineering 3D theories using the quantum affine algebra

704. Lattice isomorphisms of Leibniz algebras

705. Symmetries and strings of adjoint QCD 2

706. Q-system completion is a 3-functor

707. Extensions of the UHF-algebra of 2∞-type by C⁎-algebras with continuous scale

708. Seminormality, canonical modules, and regularity of cut polytopes

709. Evaluation of Brauer elements over local fields

710. Capacity and the quasicentral modulus

711. B\’ezoutians and the -degree

712. Idele class groups with modulus

713. Non-amenable tight squeezes by Kirchberg algebras

714. Chern-Simons Mini-course Notes

715. Elliptic classes, McKay correspondence and theta identities

716. Exceptional collections, t-structures, and categorical action of shifted affine algebra, case

717. BP-cohomology of projective Stiefel manifolds

718. The virtual intersection theory of isotropic Quot Schemes

719. Localised Module Frames and Wannier Bases from Groupoid Morita Equivalences

720. Lifting and restricting t-structures

721. The Classification Theorem and the Toms–Winter Theorem

722. On CW-complexes over groups with periodic cohomology

723. Приведенные анизотропные унитарные группы Уайтхеда гензелевых алгебр с делением со специальными полями вычетов их центров

724. Leavitt Path Algebras as Flat Bimorphic Localizations

725. Framed motives of algebraic varieties (after V. Voevodsky)

727. Symbol Length in Brauer Groups of Elliptic Curves

728. Regular local rings of dimension four and Gorenstein syzygetic prime ideals

729. Remarks on iterations of the -chain connected components construction

730. Tenfold topology of crystals: Unified classification of crystalline topological insulators and superconductors

731. Stability in graded rings associated with commutative augmented rings

732. Boundary quotient C*-algebras of semigroups

733. Calabi-Yau structures for multiplicative preprojective algebras

734. Twisted Alexander invariants of knot group representations

735. Classifying spaces for étale algebras with generators

736. Symmetry and Spectral Invariance for Topologically Graded C*-Algebras and Partial Action Systems

737. Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes

738. Further remarks on group-2-groupoids

739. Relative equivariant motives and modules

740. An essential base of the central types of the convex theory

741. Radical layer length and syzygy-finite algebras

742. On the motivic cohomology of singular varieties

743. Orientation data for moduli spaces of coherent sheaves over Calabi–Yau 3-folds

744. Conway Subgroup Symmetric Compactifications Redux

745. Diffeomorphisms of discs and the second Weiss derivative of BTop (-)

746. A uniform proof of the finiteness of the class group of a global field

747. An arithmetic count of the lines meeting four lines in 퐏³

748. One numerical obstruction for rational maps between hypersurfaces

749. REMARKS ON THE HODGE FILTRATION IN NON-ABELIAN CHABAUTY

750. Localizations and completions of stable -categories

751. The Cuntz semigroup and strict comparison

752. Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model

753. Order Unit Equivalences and Structural Properties of Leavitt Path Algebras

754. A note on the regular ideals of Leavitt path algebras

755. Endofunctors and Poincaré–Birkhoff–Witt theorems

756. Reduction techniques of singular equivalences

757. Length functions on groups and rigidity

758. 2–Segal spaces as invertible infinity-operads

759. The Borel -equivariant -local sphere

760. The integral polytope group

761. Q-system completion for C* 2-categories

762. Standard monomial theory and toric degenerations of Richardson varieties in flag varieties

763. Dualities in Refined Grothendieck Polynomials

764. A Stably Irrational (2,3)-Complete Intersection Fourfold over

765. The cohomology invariant for class DIII topological insulators

766. Nisnevich local Good compactifications

767. Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

768. and some applications on orbifolds

769. Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant

770. C∗-algebras of endomorphisms of groups with finite cokernel and partial actions

771. Universal Triviality of the Chow Group of 0-cycles and the Brauer Group

772. Derived universal Massey products

773. Strong Morita equivalences for completely positive linear maps and GNS-C*-correspondences

774. C*-blocks and crossed products for classical p-adic groups

775. Lower bounds on Betti numbers

776. On stably finiteness for -algebras of exponential solvable Lie groups

777. Volume of line bundles via valuation vectors (different from Okounkov bodies)

778. Non-commutative Persistent Homology

779. Support varieties and modules of finite projective dimension for modular Lie superalgebras

780. Quantum cohomology of symplectic flag manifolds

781. Cohomology and deformations of O-operators on Hom-associative algebras

782. Exact Krull–Schmidt categories with finitely many indecomposables

783. On Ceresa cycles of Fermat curves

784. Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up

785. Multicellularity of delicate topological insulators

786. Oriented pro- groups with the Bogomolov property

787. The composition of R. Cohen’s elements and the third periodic elements in stable homotopy groups of spheres

788. Strictly Commutative Complex Orientations of

789. PROGRÈS RÉCENTS SUR LA CONJECTURE DE ZAGIER ET LE PROGRAMME DE GONCHAROV

790. The cell-dispensability obstruction for spaces and manifolds

791. Derived Langlands VIII: Local GLn

792. On spectral flow and Fermi arcs

793. Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology

794. The symplectic s-cobordism conjecture: a summary

795. The -local stable homotopy category

796. Volume function and Mahler measure of exact polynomials

797. Not just an idle game”(the story of higher dimensional versions of the Poincar {\’e} fundamental group)

798. On residual and stable coordinates

799. Bowditch Taut Spectrum and dimensions of groups

800. Mixed Hodge structures on cohomology jump ideals

801. 2–Segal objects and the Waldhausen construction

802. Gopakumar–Vafa type invariants on Calabi–Yau 4-folds via descendent insertions

803. Homotopy Spectra and Diophantine Equations

804. Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2

805. On the Baum–Connes conjecture for groups acting on CAT (0)-cubical spaces

806. Toroidal and Elliptic Quiver BPS Algebras and Beyond

807. Valuation rings are derived splinters

808. Reproducing properties of lattice orbits of nilpotent Lie groups and strict comparison of projections

809. -algebras: structure and classification

810. THE CONSTRUCTION OF CONTRAVARIANT, RIGHT-ALMOST SUB-ADMISSIBLE, RIGHT-ABELIAN RINGS

811. My Unforgettable Early Years at the Institute

812. The Brauer group of a valuation ring

813. The Normalized Cochain Complex of a Nonsymmetric Cyclic Operad with Multiplication is a Quesney Homotopy BV Algebra

814. A norm theorem for differential forms

815. AT-algebras from fiberwise essentially minimal zero-dimensional dynamical systems

816. On the length of cohomology spheres

817. Some results on the second relative homology of Leibniz algebras

818. Tracial approximate divisibility and stable rank one

819. Research project on Weil-étale cohomology

820. Tracial topological rank zero and stable rank one for certain tracial approximation C∗-algebras

821. Supports for constructible systems

822. Frobenius C*-algebras and local adjunctions of C*-correspondences

823. Tate motives on Witt vector affine flag varieties

824. The Relative Nuclear Dimension of C*-Algebras, and the Nuclear Dimension of Generalised Toeplitz Algebras

825. C*-dynamical rapid decay

826. Algorithms for arithmetic groups with the congruence subgroup property

827. Some Applications of a Duality in Cyclic Homology

828. Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian

829. A purely infinite Cuntz-like Banach -algebra with no purely infinite ultrapowers

830. A comparison between the Bismut-Lott torsion and the Igusa-Klein torsion

831. A note on special cubic fourfolds of small discriminants

832. An algebraic model for rational naïve-commutative ring SO (2)-spectra and equivariant elliptic cohomology

833. Irrational noncommutative solenoids and their finitely generated projective modules

834. Central extensions by K 2 and factorization line bundles

835. On tracial -stability of simple non-unital C*-algebras

836. On the category of algebras over a finite direct product of commutative rings

837. A note on the quasi-diagonality of inverse semigroup reduced C*-algebras

838. OSNOVNYE REDUKCII V ZADAQE OPISANI NORMAL^ NYH PODGRUPP

839. The Gromov-Lawson index and the Baum-Connes assembly map

840. Alcove Paths and Gelfand–Tsetlin Patterns

841. Invertibility for Some Homotopy Invariant Functors Related to Roe Algebras

842. On the indecomposability of a remarkable new family of modules appearing in Galois theory

843. Essential normality of Bergman modules over intersections of complex ellipsoids

844. A KK-theoretic perspective on deformed Dirac operators

845. Beyond Diophantine Wannier diagrams: Gap labelling for Bloch–Landau Hamiltonians

846. An optimal 8th order Newton’s-type method with basin of attraction

847. IC rings and transitivity of perspectivity

848. Grothendieck groups in extriangulated categories

849. Batalin-Vilkovisky and gravity algebras on Poisson manifolds with semisimple modular symmetry

850. The Underlying Fiber Bundle Geometry of the CAM Gauge Model of the Standard Model of Particle Physics: $$\pmb {SU (3)} $$ SU (3)

851. A topological invariant for continuous fields of Cuntz algebras

852. eigentools: A Python package for studying differential eigenvalue problems with an emphasis on robustness

853. Algorithmic theory of solvable groups

854. Localization of certain odd-dimensional manifolds with torus actions

855. Quasimaps and stable pairs

856. Universal degeneracy classes for vector bundles on P1 bundles

857. On Hom-F-manifold algebras and quantization

858. Stability of certain relations of three unitaries in C∗-algebras

859. UNIVERSAL SYSTEMS AND THE INVERTIBILITY OF NORMAL FUNCTORS

860. Schubert Products for Permutations with Separated Descents

861. Applications to A 1 -enumerative geometry of the A 1 -degree

862. The intersection theory of the moduli stack of vector bundles on

863. The Brauer–Manin Obstruction for Zero-Cycles on K3 Surfaces

864. The Rouquier Dimension of Quasi-Affine Schemes

865. Hodge theory on Alexander invariants–a survey

866. On the homotopy type of L‐spectra of the integers

867. CASTELNUOVO-MUMFORD REGULARITY AND SCHUBERT GEOMETRY

868. An extension theory for partial groups

869. The Tamarkin–Tsygan calculus of an associative algebra à la Stasheff

870. The local cohomology spectral sequence for topological modular forms

871. Singular cohomology from supersymmetric field theories

872. Twisted pre-lie algebras of finite topological spaces

873. On the Non-vanishing of the Powers of the Euler Class for Mapping Class Groups

874. On absolute algebraic geometry the affine case

875. Chern-Weil theory for singular foliations

876. The topological nilpotence degree of a Noetherian unstable algebra

877. Strongly self-absorbing algebras

878. Chain level proof for the isomorphism between Lie and Hochschild homologies

879. Geometric criteria for -connectedness and applications to norm varieties

880. Systematic generation of Hamiltonian families with dualities

881. Divisibility results for zero-cycles

882. Local duality for the singularity category of a finite dimensional Gorenstein algebra

883. Numerical radius in Hilbert -modules

884. One-Relator Maximal Pro-p Galois Groups and the Koszulity Conjectures

885. Robust fault tolerant optimal predictive control of hybrid actuators with time‐varying delay for industrial robot arm

886. Limits and singularities of normal functions

887. R-coactions on -algebras

888. Associated varieties for real reductive groups

889. Analytic bundle structure on the idempotent manifold

890. On supercharacter theoretic generalizations of monomial groups and Artin’s conjecture

891. On Leavitt inverse semigroups

892. LOCAL GLn

893. The equivariant Atiyah class

894. PATTERNS IN THE HOMOLOGY OF ALGEBRAS: VANISHING, STABILITY, AND HIGHER STRUCTURES