# Symplectic geometry Research Topics Ideas

1. Coisotropic Submanifolds in b-symplectic Geometry

2. Quantum field theory, equivariant cohomology, symplectic geometry and moduli spaces of vector bundles on Riemann surfaces

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

4. Applications of Grothendieck’s inequality to linear symplectic geometry

5. List of exercises of the course” Geometry and Dynamics of Singular Symplectic manifolds”

6. A noise reduction method based on adaptive weighted symplectic geometry decomposition and its application in early gear fault diagnosis

7. Formation of the New Multi-sender Authentication Codes Via Symplectic Space through Finite Commutative Rings with Applications

8. Symplectic, Poisson, and contact geometry on scattering manifolds

9. Symmetry and Symplectic Reduction

10. Holomorphic Curve Theories in Symplectic Geometry

11. Symplectic diffeomorphisms and Weinstein 1-form

12. Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold

13. Lectures on Poisson Geometry

14. Symplectic microgeometry, IV: Quantization

15. Extended retraction maps: a seed of geometric integrators

16. Geometric Quantization

17. Higher index symplectic capacities do not satisfy the symplectic Brunn-Minkowski inequality

18. Symplectic invariants of semitoric systems and the inverse problem for quantum systems

19. The formal moment map geometry of the space of symplectic connections

20. Symplectic Novikov Lie Algebra

21. Legendre and Isotropic Submanifolds in Contact and Riemannian Geometry with Modern Developments

22. Symplectic reduction along a submanifold

23. An intelligent fault diagnosis method for roller bearing using symplectic hyperdisk matrix machine

24. A general symplectic scheme with three free parameters and its applications

25. Fidelity and mistaken identity for symplectic quantum states

26. Gaussian quantum states can be disentangled using symplectic rotations

27. Algebraic and symplectic viewpoint on compactifications of two-dimensional cluster varieties of finite type

28. On the symplectic superposition method for analytic free vibration solutions of right triangular plates

29. New applications of symplectic topology in several complex variables

30. Special Issue “Affine differential geometry and Hesse geometry: a tribute and memorial to Jean–Louis Koszul”

31. Algorithmic Symplectic Packing

32. Generating functions in symplectic and contact geometry

33. Geometric Structures of Statistical Physics, Information Geometry, and Learning

34. DERIVED ALGEBRAIC GEOMETRY

35. The geometry of Rayleigh dissipation

36. Homotopy principle in analysis and geometry

37. No symplectic-Lipschitz structures on

38. On geometric quantization of bm -symplectic manifolds

39. Symplectic quaternion singular mode decomposition with application in gear fault diagnosis

40. Phase Space on a Surface with Boundary via Symplectic Reduction

41. Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry

42. The symplectic geometry of higher Auslander algebras: Symmetric products of disks, Forum of Mathematics

43. Souriau Entropy based on Symplectic Model of Statistical Physics: three Jean-Marie Souriau’s seminal papers on Lie Groups Thermodynamics

44. Poisson structures of near-symplectic manifolds and their cohomology

45. Deformation quantization via Toeplitz operators on geometric quantization in real polarizations

46. Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric

47. Statistics and learning on Lie groups: Information geometry by Jean-Louis Koszul and symplectic model of statistical physics by Jean-Marie Souriau

48. Examples of symplectic non-leaves

49. Symplectic Gaussian process regression of maps in Hamiltonian systems

50. GEOMETRY OF ANOSOV SYSTEMS: AN INTRODUCTION

51. SYMPLECTIC MECHANICS AND DIFFEOLOGY

52. Picard groups of -symplectic manifolds

53. Real and complex hedgehogs, their symplectic area, curvature and evolutes

54. Kenji Fukaya

55. Equivariant Seidel maps and a flat connection on equivariant symplectic cohomology

56. A semi-analytical model for the modal density of periodic mediums based on the symplectic method

57. Lagrangian Curve Flows on Symplectic Spaces. Symmetry 2021, 13, 298

58. A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

59. BPS States as Symplectic Invariants from String Theory

60. On the complex structure of symplectic quotients

61. Quantum cohomology of symplectic flag manifolds

62. Characteristic equation for symplectic groupoid and cluster algebras

63. Realizability and Obstruction in Tropical Geometry

64. Resolution of four-dimensional symplectic orbifolds

65. Some algebraic and geometric aspects of quantum measurements

66. The Globalization Problem of the Hamilton–DeDonder–Weyl Equations on a Local k-Symplectic Framework

67. The invariants of planar 3-webs with respect to group of symplectic diffeomorphisms, for the case of the conformal group

68. Higher Symplectic Capacities and the Stabilized Embedding Problem for Integral Ellipsoids

69. Reconstruction of holomoprhic tangent bundle of complex projective plane via tropical Lagrangian multi-section

70. A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods

71. Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model

72. Extended retraction maps: a seed of geometric integrators

73. Proof of the elliptic expansion Moonshine Conjecture of Căldăraru, He, and Huang

74. Geometric quantization of symplectic maps and Witten’s asymptotic conjecture

75. QUANTIZATION OF SYMPLECTIC COBORDISMS

76. Operad Structures in Geometric Quantization of the Polygon Spaces

77. Symplectic 4‐manifolds admit Weinstein trisections

78. Stabilized convex symplectic manifolds are Weinstein

79. On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties

80. Towards a quantization of the double via the enhanced symplectic “category”

81. Archetypal Model of Entropy as Invariant Casimir Function in Coadjoint Representation and Geometric Fourier Heat Equation

82. Berezin-Toeplitz Quantization in Real Polarizations with Toric Singularities

83. The Replicator Dynamics of Zero-Sum Games Arise from a Novel Poisson Algebra

84. Archetypal Model of Entropy by Poisson Cohomology as Invariant Casimir Function in Coadjoint Representation and Geometric Fourier Heat Equation

85. CP symmetry and symplectic modular invariance

86. Local mirror symmetry via SYZ

87. Quantum Polar Duality and the Symplectic Camel: A New Geometric Approach to Quantization

88. Local geometry of symplectic divisors with applications to contact torus bundles

89. Subcritical polarisations of symplectic manifolds have degree one

90. New geometrical and dynamical techniques for problems in celestial mechanics

91. Semisymplectic group and Hamiltonian vector fields

92. The second-order problem for -presymplectic Lagrangian field theories. Application to the Einstein–Palatini model

93. Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kähler geometry

94. Symplectic integration of learned Hamiltonian systems

95. Special Bohr-Sommerfeld geometry: variations

96. On symplectic automorphisms of elliptic surfaces acting on

97. On forms, cohomology and BV Laplacians in odd symplectic geometry

98. Symplectic geometry and connectivity of spaces of frames

99. Derived stacks in symplectic geometry

100. Dusa McDuff and symplectic geometry

101. Symplectic geometry of a moduli space of framed Higgs bundles

102. Quantitative -principle in symplectic geometry

103. Structure Topology and Symplectic Geometry

104. Twistor operators in symplectic geometry

105. First steps into the world of systolic inequalities: From Riemannian to symplectic geometry

106. A novel fault diagnosis procedure based on improved symplectic geometry mode decomposition and optimized SV

107. Chekanov-Eliashberg dg-algebras and partially wrapped Floer cohomology

108. Classification of real simple symplectic triple systems

109. Kaldor–Kalecki New Model on Business Cycles

110. Cohomology of Quotients in Symplectic and Algebraic Geometry.(MN-31), Volume 31

111. Quantization via integrable systems

112. A Review Note on the Applications of Linear Operators in Hilbert Space

113. Persistence in functional topology and a correction to a theorem of Morse

114. On the symplectic superposition method for free vibration of rectangular thin plates with mixed boundary constraints on an edge

115. Symplectic deformations of Floer homology and non-contractible periodic orbits in twisted disc bundles

116. Viva Fukaya!

117. A Novel Signature Extracting Approach for Inductive Oil Debris Sensors based on Symplectic Geometry Mode Decomposition

118. Application of Improved Symplectic Geometry Mode Decomposition Algorithm in Evaluation System of Transformer Winding Short‐Circuit Withstand Ability

119. New Spaces in Mathematics: Formal and Conceptual Reflections

120. Maximum envelope-based autogram and symplectic geometry mode decomposition based gear fault diagnosis method

121. Fast symplectic integrator for Nesterov-type acceleration method

122. Quantum cohomology as a deformation of symplectic cohomology

123. Conformal symplectic structures, contact topology, and foliations

124. Symplectic structure of equilibrium thermodynamics

125. On dissipative symplectic integration with applications to gradient-based optimization

126. Coarse-graining and symplectic non-squeezing

127. Shifted symplectic reduction of derived critical loci

128. Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction on an Uncertainty Quantification Problem

129. Open Problems in Global Analysis. Structured Foliations and the Information Geometry

130. Symplectic -manifolds

131. Holomorphic Curve Theories in Symplectic Geometry

132. Hamilton–Jacobi formalism on locally conformally symplectic manifolds

133. SYMPLECTIC Zn 2-MANIFOLDS

134. Convexity In Contact Geometry And Reeb Dynamics

135. Koszul lecture related to geometric and analytic mechanics, Souriau’s Lie group thermodynamics and information geometry

136. Symplectic Novikov Lie Algebra

137. Closed orbits of Reeb fields on compact Sasakian manifolds

138. Integrable Hamiltonian systems on the symplectic realizations of

139. Quantum Mechanics as Hamilton-Killing Flows on a Statistical Manifold

140. Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method

141. Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics

142. On the stopping distance of LDPC codes based on symplectic space over finite fields

143. On a deformed version of the two-disk dynamo system

144. Twisted cotangent bundle of Hyperkähler manifolds (with an appendix by Simone Diverio)

145. Symplectic Homology and Shape of Cotangent Bundles

146. Invariant manifolds in Hamiltonian systems with applications to the Earth-Moon system

147. Analysis on Boundary Conditions for Elastic Structures

148. Symplectic resolutions of quiver varieties

149. Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps

150. Exponential sums and total Weil representations of finite symplectic and unitary groups

151. Gromov-Witten theory and Noether-Lefschetz theory for holomorphic-symplectic varieties

152. Pseudo-rotations and symplectic topology

153. Geometric quantization and non-perturbative Poisson sigma model

154. foliations for Reeb flows on the tight 3-sphere

155. Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface

156. Uniqueness of optimal symplectic connections

157. Some algebraic and geometric constructions in quantum information theory

158. Matched pair analysis of the Vlasov plasma

159. Advanced course in classical and quantum chaos

160. Maximal Page Crossing Numbers of Legendrian Surfaces in Closed Contact 5-Manifolds

161. Asymptotic behavior of exotic Lagrangian tori in as

162. NON-SYMPLECTIC INVOLUTIONS ON MANIFOLDS OF-TYPE

163. Basic facts and naive questions

164. A Lorentzian distance function for positive contactomorphisms

165. MATH 703: PART 4: INTEGRAL CURVES AND FLOWS

166. Sturm theory with applications in geometry and classical mechanics

167. Gerbes in Geometry, Field Theory, and Quantisation

168. Gaussian Distributions on the Space of Symmetric Positive Definite Matrices from Souriau’s Gibbs State for Siegel Domains by Coadjoint Orbit and Moment Map

169. Regularity of Hamiltonian Stationary Equations in Symplectic manifolds

170. Elena Cordero and Luigi Rodino:“Time-Frequency Analysis of Operators”

171. Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

172. Invariant Koszul form of homogeneous bounded domains and information geometry structures

173. The action spectrum and C 0 symplectic topology

174. On the existence of universal families of marked irreducible holomorphic symplectic manifolds

175. An algebraic approach to the algebraic Weinstein conjecture

176. Symplectic 4-manifolds with b 2+= 1

177. Symplectic Dirac cohomology and lifting of characters to metaplectic groups

178. NATURAL SYMPLECTIC STRUCTURES ON THE TANGENT BUNDLE OF A SPACE {TIME

179. Two Perspectives on the Local Symplectic Homology of Closed Reeb Orbits

180. On Euler number of symplectic hyperbolic manifold

181. Geometry of the space of sections of twistor spaces with circle action

182. Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole

183. Varieties of minimal rational tangents of unbendable rational curves subordinate to contact structures

184. A NOVEL WAY CONSTRUCTING SYMPLECTIC STOCHASTIC PARTITIONED RUNGE-KUTTA METHODS FOR STOCHASTIC HAMILTONIAN SYSTEMS

185. Uniqueness of exact Borel subalgebras and bocses

186. Integrability of point-vortex dynamics via symplectic reduction: a survey

187. The Complex Geometry and Representation Theory of Statistical Transformation Models

188. Quantization: Crossroads and Crossovers

189. Noncommutative homological mirror functor

190. Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form

191. Admissibility and Frame Homotopy for Quaternionic Frames

192. a review of A categorical approach to quantum moment maps by Safronov, Pavel

193. Controllability Study on the Symplectic Lie Group Sp (2, R)

194. Liouville geometry of classical thermodynamics

195. Symmetries, constants of the motion, and reduction of mechanical systems with external forces

196. Noncommutative coordinate picture of the quantum phase space

197. Asymptotic Dynamics of Hamiltonian Polymatrix Replicators

198. KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic automorphism of order four

199. Higher dimensional Lie algebroid sigma model with WZ term

200. Analytic embedding of pseudo-Helmholtz geometry

201. Geometry of complex instability and escape in four-dimensional symplectic maps

202. Categorical mirror symmetry on cohomology for a complex genus 2 curve (vol 375, 107392, 2021)

203. On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms

204. Symplectic fillings, contact surgeries, and Lagrangian disks

205. Explicit, time-reversible and symplectic integrator for Hamiltonians in isotropic uniformly curved geometries

206. Supersymmetric Hyperbolic σ -Models and Bounds on Correlations in Two Dimensions

207. Geometric quantization via cotangent models

208. Towards a T-dual Emergent Gravity

209. Linearization of Poisson groupoids

210. Residues and obstructions for log-symplectic manifolds

211. Contact Dynamics versus Legendrian and Lagrangian Submanifolds

212. Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back

213. Deformations of rational curves on primitive symplectic varieties and applications

214. Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem

215. An Extension of Greene’s Criterion for Conformally Symplectic Systems and a Partial Justification

216. Beyond Conventional Quantum Mechanics

217. On symplectic fillings of virtually overtwisted torus bundles

218. Non-formal contact manifolds with

219. Variational Symplectic Accelerated Optimization on Lie Groups

220. Mini-Workshop: Superpotentials in Algebra and Geometry

221. Hopf–Cole transformation via generalized Schrödinger bridge problem

222. Categorical action filtrations via localization and the growth as a symplectic invariant

223. Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds

224. Data-driven Prediction of General Hamiltonian Dynamics via Learning Exactly-Symplectic Maps

225. The tropical symplectic Grassmannian

226. Derived equivalences for Symplectic reflection algebras

227. The AKSZ construction in derived algebraic geometry as an extended topological field theory

228. of Statistical Physics: Seminal Papers on Lie Groups Thermodynamics-Quod Erat Demonstrandum

229. On Submanifolds and Deformations in Poisson Geometry

230. Archetypal Model of Entropy by Poisson Cohomology as Invariant Casimir Function in Coadjoint Representation and…

231. Moonshine at Landau-Ginzburg points

232. The geometry and topology of steady Euler flows, integrability and singular geometric structures

233. Three Roads to the Geometric Constraint Formulation of Gravitational Theories with Boundaries

234. The geometry and topology of steady Euler flows, integrability and singular geometric structures

235. On -harmonic forms of symplectic hyperbolic manifold

236. The rectangular peg problem

237. Conformal symplectic Weinstein conjecture and non-squeezing

238. Volume and symplectic structure for ℓ-adic local systems

239. Symplectic resolutions of the quotient of R^ 2 by a non-finite symplectic group

240. … 2020, FOR’A BOGOMOLOV UNOBSTRUCTEDNESS THEOREM FOR LOG-SYMPLECTIC MANIFOLDS IN GENERAL POSITION'(J. INST. MATH. JUSSIEU 19 (2018) …

241. Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry

242. Automated synthesis of contextuality proofs from subspaces of symplectic polar spaces

243. On new analytic free vibration solutions of doubly curved shallow shells by the symplectic superposition method within the Hamiltonian-system framework

244. Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design

245. Family Floer theory of toric manifolds and wall-crossing phenomenon

246. Sharpness of Seeger-Sogge-Stein orders for the weak (1, 1) boundedness of Fourier integral operators

247. Convergence and Riemannian bounds on Lagrangian submanifolds

248. Compactifying torus fibrations over integral affine manifolds with singularities

249. Lagrangian fields, Calabi functions, and local symplectic groupoids

250. An Overview of the Hamilton–Jacobi Theory: the Classical and Geometrical Approaches and Some Extensions and Applications

251. Scale Symmetry and Friction

252. Binary Subspace Chirps

253. Donaldson–Thomas theory of Calabi–Yau 3-folds

254. On 2-plectic Lie groups

255. Symplectic perturbation series methodology for non-conservative linear Hamiltonian system with damping

256. Quantum cohomology as a deformation of symplectic cohomology

257. Examples of Mironov Cycles in Grassmannians

258. Classical BV formalism for group actions

259. Products of positive definite symplectic matrices

260. Geometry in dg-categories

261. Frobenius Statistical manifolds, Geometric invariants & Hidden symmetries

262. Absolute points of correlations of PG ( 3 , qn )

263. String Topology and Cyclic Homology

264. Covariant momentum map thermodynamics for parametrized field theories

265. Homological mirror symmetry at large volume

266. Special solutions to the Type IIA flow

267. Bounds on subspace codes based on subspaces of type (s, 0, 0, 0) in pseudo-sympletic spaces and singular pseudo-symplectic spaces

268. Complexified Hermitian Symmetric Spaces, Hyperk\” ahler Structures, and Real Group Actions

269. Dirac structures on the space of connections

270. Mini-Workshop: Kronecker, Plethysm, and Sylow Branching Coefficients and their Applications to Complexity Theory

271. On the modified least action principle with dissipation

272. Frobenius objects in the category of spans

273. On the moduli spaces of framed logarithmic connections on a Riemann surface

274. a review of Odd connections on supermanifolds: existence and relation with affine connections by Bruce, Andrew James (LUX-ULUX2-MRU); Grabowski, Janusz (PL …

275. New stick number bounds from random sampling of confined polygons

276. Mathematical Structures in Physics

277. Testing Quantum Contextuality of Binary Symplectic Polar Spaces on a Noisy Intermediate Scale Quantum Computer

278. On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework

279. The singular Weinstein conjecture

280. Equivariant prequantization and the moment map

281. The CR geometry of weighted extremal Kähler and Sasaki metrics

282. Conformal Hamiltonian Mechanical Equations on Contact 9-Manifolds

283. Calabi-Yau structures for multiplicative preprojective algebras

284. A Cartan-Hartogs version of the Polydisk Theorem

285. Четырехмерные однородные пространства с почти симплектической структурой. Комплексный случай

286. Workshop on geometry in algebra and algebra in geometry

287. Geometric formulation of the Covariant Phase Space methods with boundaries

288. Thermodynamic identities with sunray diagrams

289. Batalin-Vilkovisky Quantisation of Bosonic Strings Revisited

290. The Abelian/non-Abelian Correspondence and Gromov-Witten Invariants of Blow-ups

291. Seizure Detection Based on Adaptive Feature Extraction by Applying Extreme Learning Machines.

292. Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case

293. Uniqueness properties of the KAM curve

294. Deformation theory of orthogonal and symplectic sheaves

295. Seminar on the h-principle

296. Gromov-Hausdorff distance between filtered categories 1: Lagrangian Floer theory

297. New action for cosmology

298. Formulation of stochastic contact Hamiltonian systems

299. An Algebraic-Geometric Characterization of Tripartite Entanglement

300. A four-dimensional mapping class group relation

301. Factorization Algebras for Bulk-Boundary Systems

302. Quantum Orbit Method in the Presence of Symmetries

303. On Hausdorff integrations of Lie algebroids

304. Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

305. New analytic buckling solutions of side-cracked rectangular thin plates by the symplectic superposition method

306. A local normal form for Hamiltonian actions of compact semisimple Poisson-Lie groups

307. Jean-Louis Koszul, Julien Koszul & Mathieu Koszul: From Poniatowski Grande Armée of Napoleon to Bourbaki Group

308. On Symmetric Brackets Induced by Linear Connections

309. Complex Dirac structures: invariants and local structure

310. Curved Yang–Mills-Higgs gauge theories in the case of massless gauge bosons

311. On the uniqueness of invariant states

312. On the iterated Hamiltonian Floer homology

313. The weak (1, 1) type of Fourier integral operators with complex phases

314. J. Adv. Math. Stud.

315. Legendrian Satellites and Decomposable Cobordisms

316. Stochastic symplectic ice

317. Reeb flow invariant∗-Ricci operators on trans-Sasakian three-manifolds

318. Symplectic excision

319. Propagation of singularities for subelliptic wave equations

320. Topological and dynamical aspects of Jacobi sigma models

321. Optimal Four-Stage Symplectic Integrators for Molecular Dynamics Problems

322. Quantum Systems as Lie Algebroids

323. Construction of Explicit Symplectic Integrators in General Relativity. II. Reissner–Nordström Black Holes

324. Commuting symplectomorphisms on a surface and the flux homomorphism

325. A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian …

326. The Hamilton–Jacobi theory for contact Hamiltonian systems

327. An energy gap phenomenon for the Whitney sphere

328. On the geometry of discrete contact mechanics

329. Manifolds of isospectral arrow matrices

330. Williamson theorem in classical, quantum, and statistical physics

331. Sub-Riemannian (2, 3, 5, 6)-Structures

332. The Gopakumar-Vafa finiteness conjecture

333. Topology, Geometry, and Dynamics: VA Rokhlin-Memorial

334. On local geometry of rank 3 distributions with 6-dimensional square

335. Dehn-Seidel twist, symplectic topology and barcodes

336. Geometric structure of generalised gauge field theories

337. Lie groups of Poisson diffeomorphisms

338. A k-contact Lagrangian formulation for nonconservative field theories

339. Towards an extended/higher correspondence–Generalised geometry, bundle gerbes and global Double Field Theory

340. Free-Boundary Problems for Holomorphic Curves in the 6-Sphere

341. A note on the structure of prescribed gradient–like domains of non–integrable vector fields

342. Double field theory and geometric quantisation

343. Quasienergy operators and general squeezed states for systems of trapped ions

344. Hermitian Symmetric Spaces for Graph Embeddings

345. Volume-Preserving Diffeomorphisms with the M 0 -Shadowing Properties

346. A Gutzwiller trace formula for stationary space-times

347. Integrable symplectic maps associated with discrete Korteweg‐de Vries‐type equations

348. Hamiltonian charges in the asymptotically de Sitter spacetimes

349. An analytic application of Geometric Invariant Theory

350. A Hyperk\” ahler geometry associated to the BPS structure of the resolved conifold

351. Energy-Constrained Discrimination of Unitaries, Quantum Speed Limits, and a Gaussian Solovay-Kitaev Theorem

352. The d-critical structure on the Quot scheme of points of a Calabi-Yau 3-fold

353. Some examples of stable generalized complex 6-manifolds with either 0 or negative Euler characteristic

354. Guia docent 34966-VD-Varietats Diferenciables

355. Matched Pair Analysis of Euler-Poincar\'{e} Flow on Hamiltonian Vector Fields

356. Riemannian optimization on the symplectic Stiefel manifold

357. Minimal Lagrangian surfaces in ℂP2 via the loop group method Part I: The contractible case

358. Derived invariance of Crawley-Boevey’s -Poisson structure

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

360. Morse-Smale characteristic foliations and convexity in contact manifolds

361. Complex vs convex Morse functions and geodesic open books

362. A contact camel theorem

363. Modeling of seizure and seizure-free EEG signals based on stochastic differential equations

364. Jacobi Multipliers in Integrability and the Inverse Problem of Mechanics

365. Mechanoelectrical flexible hub-beam model of ionic-type solvent-free nanofluids

366. Symplectic neural networks in Taylor series form for Hamiltonian systems

367. A Gentle Introduction to Homological Mirror Symmetry

368. Symplectic Topology in the cotangent bundle through Generating functions

369. Accurate and Efficient Simulations of Hamiltonian Mechanical Systems with Discontinuous Potentials

370. High order explicit Lorentz invariant volume-preserving algorithms for relativistic dynamics of charged particles

371. Double field theory and geometric quantisation

372. A closing lemma on torus

373. NOTES ON MONODROMY AND PARALLEL TRANSPORT OF HOLOMORPHIC-SYMPLECTIC VARIETIES OF K3 [n]-TYPE

374. Noise effects on the Wilczek–Zee geometric phase

375. Anomalies in gravitational charge algebras of null boundaries and black hole entropy

376. Finite quotients of surface braid groups and double Kodaira fibration

377. A Gentle Introduction to Homological Mirror Symmetry

378. Symplectic Topology in the cotangent bundle through Generating functions

379. Accurate and Efficient Simulations of Hamiltonian Mechanical Systems with Discontinuous Potentials

380. High order explicit Lorentz invariant volume-preserving algorithms for relativistic dynamics of charged particles

381. Double field theory and geometric quantisation

382. A closing lemma on torus

383. NOTES ON MONODROMY AND PARALLEL TRANSPORT OF HOLOMORPHIC-SYMPLECTIC VARIETIES OF K3 [n]-TYPE

384. Noise effects on the Wilczek–Zee geometric phase

385. Anomalies in gravitational charge algebras of null boundaries and black hole entropy

386. Finite quotients of surface braid groups and double Kodaira fibrations

387. Segal-Bargmann transforms from hyperbolic Hamiltonians

388. An Introduction to Orthogonal Geometry

389. Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT

390. Spectral asymptotics on stationary space-times

391. From Schouten to Mackenzie: notes on brackets

392. Poisson gauge theory

393. What do we need to build up Quantum Mechanics on Manifolds? The Lecture given at the Mathematical Institute of the Oslo University, 21.03. 96

394. Simultaneous preservation of two or more geometric properties, Network wide training course 6

395. Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation

396. Fano Varieties of K3-Type and IHS Manifolds

397. Local unitary classification of generalized Bell state sets in

398. Open systems in classical mechanics

399. Harish-Chandra bimodules over quantized symplectic singularities

400. On a remark by Ohsawa related to the Berndtsson-Lempert method for -holomorphic extension

401. Noncommutative Poisson vertex algebras and Courant-Dorfman algebras

402. Theory and modeling of a novel class of nanoplate-based mass sensors with corner point supports

403. Disjoint superheavy subsets and fragmentation norms

404. Covariant phase space and soft factorization in non-Abelian gauge theories

405. Explicit structure-preserving geometric particle-in-cell algorithm in curvilinear orthogonal coordinate systems and its applications to whole-device 6D kinetic …

406. Transverse hilbert schemes, bi-hamiltonian systems and hyperkähler geometry

407. Tuning symplectic integrators is easy and worthwhile

408. From Newton to Hamilton, bypassing Lagrange and Legendre.

409. Lifting of the Action of Symplectomorphism Group on the Bi-Lagrangian Structure

410. The Traverse Symplectic Correlation-Gram (TSCgram): A New and Effective Method of Optimal Demodulation Band Selection for Rolling Bearing

411. Sections of Hamiltonian Systems

412. Towers of Looijenga pairs and asymptotics of ECH capacities

413. Z-graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures

414. Affine hypersurfaces of arbitrary signature with an almost symplectic form

415. New quiver-like varieties and Lie superalgebras

416. Symplectic embeddings of the ℓ p-sum of two discs

417. Tuning symplectic integrators is easy and worthwhile

418. From Newton to Hamilton, bypassing Lagrange and Legendre.

419. Lifting of the Action of Symplectomorphism Group on the Bi-Lagrangian Structure

420. The Traverse Symplectic Correlation-Gram (TSCgram): A New and Effective Method of Optimal Demodulation Band Selection for Rolling Bearing

421. Sections of Hamiltonian Systems

422. Towers of Looijenga pairs and asymptotics of ECH capacities

423. Z-graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures

424. Affine hypersurfaces of arbitrary signature with an almost symplectic form

425. New quiver-like varieties and Lie superalgebras

426. Symplectic embeddings of the ℓ p-sum of two discs

427. Goldman form, flat connections and stable vector bundles

428. Systolic inequalities for K3 surfaces via stability conditions

429. Order-corrected symplectic finite element method for elastic wave modelling

430. Contact Hamiltonian Systems for Probability Distribution Functions and Expectation Variables: A Study Based on a Class of Master Equations

431. The Calabi invariant for Hamiltonian diffeomorphisms of the unit disk

432. On the Δ -property for complex space forms

433. Stability conditions in families

434. Complexity for Conformal Field Theories in General Dimensions

435. Factorization algebras in quantum field theory

436. Shearing deformations of Hitchin representations and the Atiyah–Bott–Goldman symplectic form

437. Euler continuants in noncommutative quasi-Poisson geometry

438. Poisson structure on character varieties

439. Elastoplastic nonlinear analysis of functionally graded beams utilizing the symplectic method

440. The Deformed Hermitian-Yang-Mills Equation with Calabi Ansatz

441. Algebraic cycles and Lehn-Lehn-Sorger-van Straten eightfolds

442. Stable pairs and Gopakumar–Vafa type invariants for Calabi–Yau 4-folds

443. New analytic bending, buckling, and free vibration solutions of rectangular nanoplates by the symplectic superposition method

444. Entropy, holography, and p-adic geometry

445. A primer on the differential geometry of quaternionic curves

446. A simplicial version of the 2-dimensional Fulton-MacPherson operad

447. Quantization of Kähler manifolds

448. Deep Learning: Hydrodynamics, and Lie-Poisson Hamilton-Jacobi Theory

449. Mixing rates for symplectic almost Anosov maps

450. Classical Invariants of Legendrian and Transverse Knots

451. On two geometric means and sum of adjoint orbits

452. New analytic buckling solutions of non-Lévy-type cylindrical panels within the symplectic framework

453. Many closed K -magnetic geodesics on S 2

454. Castelnuovo’s bound and rigidity in almost complex geometry

455. Corks, covers, and complex curves

456. Infinitesimally tight Lagrangian orbits

457. Spine removal surgery and the geography of symplectic fillings

458. Topological aspects of incompressible flows

459. Generalized and graded geometry for mechanics: a comprehensive introduction

460. A geometric approach to Lie systems: formalism of Poisson-Hopf algebra deformations

461. The Gromov width of generalized Bott manifolds

462. Computation of quantum cohomology from Fukaya categories

463. Quantization of dynamical symplectic reduction

464. Singularities in one-dimensional Euler flows

465. Geodesic of the Quotient-Affine Metrics on Full-Rank Correlation Matrices

466. Quantization of canonical bases and the quantum symplectic double

467. Black holes and the swampland: the deep throat revelations

468. Koopman wavefunctions and Clebsch variables in Vlasov-Maxwell kinetic theory

469. A natural topological manifold structure of phase tropical hypersurfaces

470. Symplectic groups over noncommutative algebras

471. Dynamical reduced basis methods for Hamiltonian systems

472. Order 3 symplectic automorphisms on K3 surfaces

473. Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds

474. Distortion of the Poisson Bracket by Noncommutative Planck Constants

475. A double copy for asymptotic symmetries in the self-dual sector

476. Partial geometric designs having circulant concurrence matrices

477. Symplectic mapping class groups of K3 surfaces and Seiberg-Witten invariants

478. Frobenius Statistical Manifolds and Geometric Invariants

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

480. Superintegrability of Generalized Toda Models on Symmetric Spaces

481. Transport barriers in symplectic maps

482. Some Classification Results for Symplectic Fillings of Contact 3-Manifolds

483. Effects of local thinning defects and stepped thickness for free vibration of cylindrical shells using a symplectic exact solution approach

484. The integrability of Virasoro charges for axisymmetric Killing horizons

485. An adjunction inequality for the Bauer-Furuta type invariants, with applications to sliceness and 4-manifold topology

486. Wind power forecasting based on stacking ensemble model, decomposition and intelligent optimization algorithm

487. SPECIAL GEOMETRY ON THE MODULI SPACE OF THE CALABI-YAU THREEFOLDS

488. -gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces

489. A geometric approach to the generalized Noether theorem

490. Poisson Yang-Baxter equations and -operators of Poisson superalgebras

491. Singularities of Solutions of Hamilton–Jacobi Equations

492. A decoupling property of some Poisson structures on supporting Poisson–Lie symmetry

493. Relative growth rate and contact Banach–Mazur distance

494. Kähler fibrations in quantum information theory

495. The openness condition for a coadjoint orbit projection of the semidirect product Lie group M ((n, p), ℝ)⋊ GL (n, ℝ)

496. A semi-theoretical method to detect classical monodromy

497. D-critical loci for local toric Calabi-Yau 3-folds

498. Deformation quantization via Toeplitz operators on geometric quantization in real polarizations

499. Algebroids, AKSZ Constructions and Doubled Geometry

500. Geometric numerical integration of differential equations, THREAD Network-wide training event 6

501. Fukaya categories of higher-genus surfaces and pants decompositions

502. and Applications

503. First Steps in Twisted Rabinowitz-Floer Homology

504. Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure

505. Concise symplectic formulation for tetrad gravity

506. Some New Results in Geometric Analysis

507. Discrete linear canonical evolution

508. KONTSEVICH GRAPHONS

509. Theory of Symplectic Twist Maps applied to Point-vortex Dynamics

510. Gravitating vortices and the Einstein–Bogomol’nyi equations

511. نگاشت تکانی k-تایی

512. Symplectic fillings of asymptotically dynamically convex manifolds I

513. Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation

514. On stabiliser techniques and their application to simulation and certification of quantum devices

515. Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products

516. COMPACTNESS RESULTS FOR HOLOMORPHIC CURVES

517. Critical Phenomena in Darcy and Euler Flows of Real Gases

518. Integrability, normal forms, and magnetic axis coordinates

519. Invitation: Gravity, Point Particles, and Group-Valued Momenta

520. A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle

521. Topological Light–Matter Design: Simulations in Polariton Profiles and Ultracold Atom Systems

522. On curvature and torsion in Courant algebroids

523. Quantum (non-commutative) toric geometry: foundations

524. Quantization of canonical bases and the quantum symplectic double

525. Mayer–Vietoris property for relative symplectic cohomology

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

527. Symplectic Adjoint Method for Exact Gradient of Neural ODE with Minimal Memory

528. On degenerations and extensions of symplectic and orthogonal quiver representations

529. Analytical solution of the electro-mechanical flexural coupling between piezoelectric actuators and flexible-spring boundary structure in smart composite plates

530. On the tensor semigroup of affine kac-moody lie algebras

531. Quantum Harmonic Analysis: An Introduction

532. The Faber-Krahn inequality for the Short-time Fourier transform

533. Applications of Digital Signal Processing in Monitoring Machining Processes and Rotary Components: A Review

534. A new Quantum Mechanics on phase space

535. A categorical approach to quantum moment maps

536. Brane current algebras and generalised geometry from QP manifolds

537. Arborealization I: Stability of arboreal models

538. Optimization, Complexity and Invariant Theory (Invited Talk)

539. Central extensions of Lie groups preserving a differential form

540. Products and connected sums of spheres as monotone Lagrangian submanifolds

541. Real structures on nilpotent orbit closures

542. On the Hodge and Betti numbers of hyper-Kähler manifolds

543. Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes

544. Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter

545. A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids

546. Extremal length in higher dimensions and complex systolic inequalities

547. The category of weight modules for symplectic oscillator Lie algebras

548. Contact Hamiltonian dynamics and perturbed contact instantons with Legendrian boundary condition

549. An introduction to the topology of the moduli space of stable bundles on a Riemann surface

550. Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves

551. Keplerian orbits through the Conley–Zehnder index

552. Singular geometrical optics for differential operators on surfaces

553. Conserved momenta of ferromagnetic solitons through the prism of differential geometry

554. The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra

555. Understanding Quaternions from Modern Algebra and Theoretical Physics

556. The flow tree formula for Donaldson-Thomas invariants of quivers with potentials

557. MSC

558. Virtual neighborhood technique for moduli spaces of holomorphic curves

559. Oulipian Mathematics

560. On the dynamics of inverse magnetic billiards

561. -algebras, Generalized Geometry, and Tensor Hierarchies

562. Moduli spaces of generalized hyperpolygons

563. The cohomology of the elliptic tangent bundle

564. Deformation quantization and homological reduction of a lattice gauge model

565. Hamiltonian chaos and differential geometry of configuration space–time

566. The geometry and DSZ quantization of four-dimensional supergravity

567. On the cohomology groups of real Lagrangians in Calabi–Yau threefolds

568. Superpositions in the quantum ensemble and Schroedingers cat

569. The differential geometry of Markov transitions in Hamiltonian Monte Carlo

570. On Legendrian products and twist spuns

571. frost: a momentum-conserving CUDA implementation of a hierarchical fourth-order forward symplectic integrator

572. Some Hermitian K-groups via geometric topology

573. Maximal Page Crossing Numbers of Legendrian Surfaces in Closed Contact 5-Manifolds

574. Capacities from the Chiu-Tamarkin complex

575. Smoothness of non-reductive fixed point sets and cohomology of non-reductive GIT quotients

576. Control of Parasitism in G-symplectic General Linear Methods

577. On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds

578. -graded supergeometry: Differential graded modules, higher algebroid representations, and linear structures

579. Smooth Fields of Operators and Some Examples Coming from Canonical Quantization

580. Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications

581. Symplectic Superposition Solution of Free Vibration of Fully Clamped Orthotropic Rectangular Thin Plate on Two-Parameter Elastic Foundation

582. DISCRETE CONFORMAL GEOMETRY OF POLYHEDRAL SURFACES AND ITS APPLICATION

583. Contraction centers in families of hyperkähler manifolds

584. Applications of the theory of Floer to symmetric spaces

585. A Symplectic Method of Numerical Simulation on Local Buckling for Cylindrical Long Shells under Axial Pulse Loads

586. On the Anti-invariant Cohomology of Almost Complex Manifolds

587. Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

588. Memorial for Robert Hermann

589. Microlocal analysis and beyond

590. A mathematical analysis of Casimir interactions I: The scalar field

591. On naturality of the Ozsvath-Szabo contact invariant

592. The Standard cohomology of regular Courant algebroids

593. Twisted Neumann–Zagier matrices

594. Lagrangian cobordisms and Legendrian invariants in knot Floer homology

595. Categorical non-properness in wrapped Floer theory

596. The Geometric Structure of Symplectic Contraction (vol 2020, pg 3521, 2020)

597. Deformation theory of contact Lie algebras as double extensions

598. Notes on the convergence of low energy holomorphic strips

599. Pathologies of the Hilbert scheme of points of a supersingular Enriques surface

600. Poisson groupoids and moduli spaces of flat bundles over surfaces

601. Geodesic behavior for Finsler metrics of constant positive flag curvature on

602. Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

603. Symmetric and skew-symmetric complex structures

604. Asymptotic symmetries in the BV-BFV formalism

605. BHK mirror symmetry for K3 surfaces with non-symplectic automorphism

606. Orbits and Lagrangian Symmetries on the Phase Space

607. Stein’s method, heat kernel, and linear functions on the orthogonal groups

608. Construction of Explicit Symplectic Integrators in General Relativity. III. Reissner–Nordström-(anti)-de Sitter Black Holes

609. Mathematical modelling in accounting information systems

610. A geometric approach to Lie systems: formalism of Poisson-Hopf deformations

611. Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach

612. Covariant phase space for gravity with boundaries: metric vs tetrad formulations

613. Taut contact hyperbolas on three-manifolds

614. A review of Lie 2-algebras

615. Fukaya categories of surfaces, spherical objects and mapping class groups

616. Surgery on Anosov flows using bi-contact geometry

617. Stokes manifolds and cluster algebras

618. Ricci Curvature, Reeb Flows and Contact 3-Manifolds

619. Contact geometry in the restricted three-body problem

620. Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schr\” odinger equations

621. ON THE GRAPH THEOREM FOR LAGRANGIAN INVARIANT TORI WITH TOTALLY IRRATIONAL INVARIANT SETS

622. Multiplicative quantum cobordism theory

623. Optimization, Complexity and Invariant Theory

624. What’s Next? The Mathematical Legacy of William P. Thurston Edited by Dylan Thurston

625. Symplectic discrete-time energy-based control for nonlinear mechanical systems

626. My research so far has been revolving around a 3-dimensional TQFT ˆZ, sometimes known as the homological blocks. To each 3-manifold decorated with a

627. ELEMENTARY DIFFERENTIAL GEOMETRY

628. Derived gluing construction of chiral algebras

629. From algebraic geometry to machine learning

630. Floer Homology: From Generalized Morse-Smale Dynamical Systems to Forman’s Combinatorial Vector Fields

631. Concise symplectic formulation for tetrad gravity

632. On the Geometry of Slow-Fast Phase Spaces and the Semiclassical Quantization

633. Free dihedral actions on abelian varieties

634. The -generations of the symplectic group

635. Degeneration of natural Lagrangians and Prymian integrable systems

636. A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori

637. Integrability of Boltzmann’s discontinuous gravitational system

638. Abelian Complex Structures and Generalizations

639. WKB expansion for a Yang–Yang generating function and the Bergman tau function

640. IMTech

641. The Tools of Mechanics by E. Cartan and Classical Field Theory

642. Homogeneous para-K\

643. Three-class association schemes from partial geometric designs

644. Charge algebra in Al (A) dSn spacetimes

645. Flapping Wing Coupled Dynamics in Lie Group Setting

646. Compact Hermitian symmetric spaces, coadjoint orbits, and the dynamical stability of the Ricci flow

647. Compact orbits of Parabolic subgroups

648. Learning adaptive regularization for image labeling using geometric assignment

649. An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures

650. Computing Reeb dynamics on four-dimensional convex polytopes

651. Connected Fundamental Groups and Homotopy Contacts in Fibered Topological (C, R) Space

652. A geometric free field realisation for the genus-two class theory of type

653. Stable heat jet approach for temperature control of Fermi–Pasta–Ulam beta chain

654. Continuous normalizing flows on manifolds

655. Sklyanin algebras and a cubic root of 1

656. Invariance of Polarization Induced by Symplectomorphisms

657. Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles

658. Lagrangian configurations and Hamiltonian maps

659. Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups

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

661. Quantum superpositions and the measurement problem

662. Some examples of Family Floer mirror

663. The analysis of the dynamic optimization problem in econophysics from the point of view of the symplectic approach for constrained systems

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

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

666. Geodesics in semi-Riemannian Geometry and links to General Relativity

667. Integrable hierarchy for the resolved conifold

668. Ricci curvature, group compactifications and the convexity of volume

669. Structure-Preserving Galerkin POD-DEIM Reduced-Order Modeling of Hamiltonian Systems

670. Weyl–Wigner representation of canonical equilibrium states

671. Nakano Positivity of direct image sheaves of adjoint line bundles with mild singularities

672. Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes

673. Geometry and physics: where are we going?

674. Pair-of-pants decompositions of 4-manifolds diffeomorphic to general type hypersurfaces

675. Fault Diagnosis of Rolling Bearing Based on Local Mean Decomposition and Transient Extracting Transform

676. Augmentations and sheaves for links

677. Maximal Green Sequences for Triangle Products

678. Generalized geometry as a model for heterotic string theory

679. Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control

680. Rolling bearing fault diagnosis utilizing variational mode decomposition based fractal dimension estimation method

681. Towards an extended/higher correspondence

682. Non-displaceable Lagrangian links in four-manifolds

683. Instability of rational and polynomial convexity

684. Open topological recursion relations in genus 1 and integrable systems

685. Lagrangian submanifolds in coadjoint orbits provided with symplectic invariant structures: Subvariedades lagrangianas em órbitas coadjuntas munidas de estruturas …

686. Globally conservative solutions for the modified Camassa–Holm (MOCH) equation

687. The moment map on the space of symplectic 3D Monge-Amp\ere equations

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

689. Kenfack–Życzkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit

690. Identifying Physical Law of Hamiltonian Systems via Meta-Learning