Associate Prof. Dr.Sc. Hông Vân



AddressInstitute of Mathematics of Czech Academy of Sciences
               Zitna 25
              11567  Praha 1
               Czech Republic


Email:    hvle AT
Tel   :    +420-222090779
Fax  :  +420-222090701


My publication list at MatSciNet at arXiv arXiv


Lecture course (NMAG 469, Fall term 2018-2019)

- Mathematical foundation of machine learning Every Thursday 10.40-12.10, in the seminar

room MU MFF UK (3rd floor).


- Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics, each


- Computational Complexity seminar

- Book (with Nihat Ay, Juergen Jost and Lorenz Schwachhoefer)

INFORMATION GEOMETRY Springer 2017, Ergebnisse der Mathematik und ihrer Grenzgebiete

Recent preprints

-(with Domenico Fiorenza, Lorenz Schwachhöfer, and Luca Vitagliano) Strongly homtopy Lie algebras

and deformations of calibrated submanifolds, arXiv:1804.05732.

-(with Jean-Francois Barraud, Agnès Gadbled and Roman Golovko) A Novikov fundamental group, arXiv:1710.10353.

- (with Lorenz Schwachhöfer, Nihat Ay and Jürgen Jost) Congruent families of tensors, arXiv:1705.11014.

- (with Jürgen Jost and Lorenz Schwachhöfer) Cram\'er-Rao inequality on singular statistical models I, arXiv:1703.09403 .

- (with Kotaro Kawai and Lorenz Schwachhöfer) Fr\"olicher-Nijenhuis cohomology on $G_2$ and Spin(7)-manifolds arXiv:17.03.05133.

- (with Kotaro Kawai and Lorenz Schwachhöfer) Frölicher-Nijenhuis bracket and geometry of G2-and Spin(7)-manifolds,

ArXiv:1605.01508 (accepted to Annali di Matematica Pura ed Applicata).

- (with Jiri Vanzura) McLean's second variation formula revisited, Journal of Geometry and Physics,

Volume 113, March 2017, Pages 188–196, arXiv:1605.01267.arXiifferential Geometry (math.DG); Mathematical Physics (math-p1, arXiv:1605.0

- (with Alfonso Tortorella and Luca Vitagliano) Jacobi bundles and the BFV-complex, arXiv:1601.04540

Journal of Geometry and Physics, 121 (2017), 347-377 .

- The Calabi invariant and the least number of periodic solutions of locally Hamiltonian equations arXiv:1511.00638

- (with Nihat Ay, Jürgen Jost, Lorenz Schwachhöfer) Parametrized measure models arXiv:1510.07305

Bernoulli vol. 24 Nr 3 (2018), 1692-1725.

- Corrigendum to “Compact symplectic manifolds of low cohomogeneity” [J. Geom. Phys. 25 (1998) 205–226] .

Journal of Geometry and PhysicsVolume 96, October 2015, Pages 212–215 (see also arxiv.1504.05142.pdf) .

- (with Yong-Geun Oh, Alfonso Tortorella and Luca Vitagliano) Deformations of coisotropic submanifolds in abstract Jacobi manifolds,

(accepted for Journal of Symplectic Geometry) arXiv:1410.8446.pdf

- (with Lorenz Schwachhöfer) Lagrangian submanifolds in strictly nearly Kaehler 6-manifolds arXiv:1408.6433v3.pdf

- Application of integral geometry to minimal surfaces (corrected version)

- The uniqueness of the Fisher metric as information metric

Annals of the Institute of Statistical Mathematics, 69(2017), 879-896, DOI 10.1007/s10463-016-0562-0

- Lower bounds for the circuit size of  partially homogeneous polynomials, ECCC-TR14-139 (2014), Fundamental and Applied Mathematics, 20(2015), 153-179

(English translation in Journal of Mathematical Sciences, Vol. 225, No. 4, September, 2017, p. 639-657.)

- (with Yong-Geun Oh) Deformations of coisotropic submanifolds in locally conformal symplectic manifolds, Asian Journal of Math., Vol. 20(2016), No. 3, pp. 555–598.

- (with Nihat Ay, Jürgen Jost, Lorenz Schwachhöfer) Information geometry and sufficient statistics, Probability Theory Relat. Fields,

- (with Jiri Vanzura) Cohomology theories on locally conformal symplectic manifolds,

(Asian J. of Math, Volume 19 (2015),Number 1, p. 45 -82)

- Geometric structures associated with a simple Cartan 3-form

(Journal Geom. Phys. DOI: 10.1016/j.geomphys.2013.03.028)

- (with Petr Somberg, Jiri Vanzura) Poisson smooth structures on stratified symplectic spaces,

(chapter 7 in the Springer Proceedings in Mathematics & Statistics Volume 98, 2015, pp 181-204)

- Constructing elusive functions  with  help  of  evaluation mappings , ECCC, TR14-140 (2014)

- (with Petr Somberg, Jiri Vanzura) Smooth structures on pseudomanifolds with isolated conical singularities

(Acta Math. Vietnam. DOI 10.1007/s40306-013-0009-0)


 My current and past collaborators

- Nihat Ay, Jean-Francois Barraud, Domenico Fiorenza, Anatoly Fomenko, Agnes Gadbled,

Roman Golovko, Alexander Ivanov, Juergen Jost, Kotaro Kawai, Mobeen Munir, Yong-Geun Oh,

Kaoru Ono, Martin Panak, Lorenz Schwachhoefer, Petr Somberg, Alfonso Tortorella, Alexey Tuzhilin,

Jiri Vanzura, Luca Vitagliano, Guofang Wang

Other links

- Tủ sách Sputnik