prof. Anton Galaev, Dr. rer. nat.

Curriculum Vitae

Person-Related Identification Information

• assoc. prof. Anton Galaev, Dr. rer. nat., DSc.

Education and Academic Qualifications

• 2003: Diploma in Mathematics with Excellent, Saratov State University, Russia
• 2006: Dr. rer. nat. = PhD (with mark summa cum laude), Humboldt University in Berlin
• 2013: habilitation $\&$ assoc. prof. (docent) degree, Masaryk University in Brno
• 2014: DSc. (doctor of science) in Geometry and Topology, Moscow State University

Employment

• since 2014: assoc. prof. at University of Hradec Kralove
• 2007--2016: research and development worker at Masaryk University in Brno (part-time 2014--2016)

Teaching Activities

• Global analysis, Symplectic geometry, Introduction to Topology, Algebra, Introduction to Algebraic Geometry, Introduction to Algebraic Topology

Scientific and Research Activities

• GACR GF24-10031K, Graded differential geometry with applications (Lead Agency (Weave), Poland), 2024--2026, team member (30%)
• GACR 18-00496S, Singular spaces from special holonomy and foliations, 2018--2020, the principal investigator of the project (50%)
• GACR 14-02476S, Variations, geometry and physics, 2014--2016, team member (25%)
• CZ.1.07/2.3.00/20.0003, Algebraic methods in Geometry with views towards Applications, 2011--2014, team member (100%)
• GACR GP201/09/P039, Holonomy of Riemannian supermanifolds and related geometric structures, 2009-2011: the principal investigator (70%)

University Activities

• 2019: research stay at TU Wien (6 months)
• 2016: Zagreb University, lectures ,,Holonomy groups of Lorentzian manifolds'' (Erasmus+)
• 2015: Granada University, lectures ,,Holonomy groups of Lorentzian manifolds'' (Erasmus+)
• 2006: research stay at Swiss Federal Institute of Technology in Z\"urich (5 months)
• 2005: research fellowship, Erwin Schr\"odinger Institute for Mathematical Physics (5 months)

Major Publications

• BAZAIKIN, Yaroslav V a Anton GALAEV. Losik classes for codimension one foliations. Journal of the Institute of Mathematics of Jussieu. Cambridge (United Kingdom): Cambridge University Press, 2022, roč. 21, č. 4, s. 1391-1419. ISSN 1474-7480. Dostupné z: https://dx.doi.org/10.1017/S1474748020000596. info
• BAZAIKIN, Yaroslav V, Anton GALAEV a Pavel GUMENYUK. Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class. Mathematische Zeitschrift. Heidelberg: Springer Heidelberg, 2022, roč. 300, č. 2, s. 1335-1349. ISSN 0025-5874. Dostupné z: https://dx.doi.org/10.1007/s00209-021-02828-1. info
• BAZAIKIN, Yaroslav V, Anton GALAEV a Nina I ZHUKOVA. Chaos in Cartan foliations. CHAOS. UNITED STATES: AIP PUBLISHING, 2020, roč. 30, č. 10, 9 s. ISSN 1054-1500. Dostupné z: https://dx.doi.org/10.1063/5.0021596. info
• GALAEV, Anton. Holonomy Classification of Lorentz-Kahler Manifolds. Journal of Geometric Analysis. NEW YORK: Springer, 2019, roč. 29, č. 2, s. 1075-1108. ISSN 1050-6926. Dostupné z: https://dx.doi.org/10.1007/s12220-018-0027-1. info
• GALAEV, Anton. Holonomy algebras of Einstein pseudo-Riemannian manifolds. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. ENGLAND: WILEY, 2018, roč. 98, s. 393-415. ISSN 0024-6107. Dostupné z: https://dx.doi.org/10.1112/jlms.12135. info
• GALAEV, Anton. Covariant derivative of the curvature tensor of pseudo-Kahlerian manifolds. Annals of Global Analysis and Geometry. Kluwer Academic Publishers, 2017, roč. 51, č. 3, s. 245-265. ISSN 0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-016-9533-1. full text info
• GALAEV, Anton. Holonomy groups of Lorentzian manifolds. RUSSIAN MATHEMATICAL SURVEYS. RUSSIA: TURPION LTD, 2015, roč. 70, č. 2, s. 249-298. ISSN 0036-0279. Dostupné z: https://dx.doi.org/10.1070/RM2015v070n02ABEH004947. info
• GALAEV, Anton. How to Find the Holonomy Algebra of a Lorentzian Manifold. LETTERS IN MATHEMATICAL PHYSICS. DORDRECHT: SPRINGER, 2015, roč. 105, č. 2, s. 199-219. ISSN 0377-9017. Dostupné z: https://dx.doi.org/10.1007/s11005-014-0741-y. info
• GALAEV, Anton. On the de Rham-Wu decomposition for Riemannian and Lorentzian manifolds. Classical and Quantum Gravity. BRISTOL: Institute of Physics, 2014, roč. 31, č. 13, 13 s. ISSN 0264-9381. Dostupné z: https://dx.doi.org/10.1088/0264-9381/31/13/135007. info
• GALAEV, Anton. Note on the Holonomy Groups of Pseudo-Riemannian Manifolds. Mathematical Notes. 2013, roč. 93, 5-6, s. 810--815. ISSN 0001-4346. Dostupné z: https://dx.doi.org/10.1134/S0001434613050209. URL info
• GALAEV, Anton. About the classification of the holonomy algebras of lorentzian manifolds. SIBERIAN MATHEMATICAL JOURNAL. RUSSIA: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2013, roč. 54, č. 5, s. 798-804. ISSN 0037-4466. Dostupné z: https://dx.doi.org/10.1134/S0037446613050042. info
• GALAEV, Anton. Pseudo-Riemannian manifolds with recurrent spinor fields. SIBERIAN MATHEMATICAL JOURNAL. RUSSIA: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2013, roč. 54, č. 4, s. 604-613. ISSN 0037-4466. Dostupné z: https://dx.doi.org/10.1134/S0037446613040034. info
• ALEKSEEVSKIY, Dmitry a Anton GALAEV. Two-symmetric Lorentzian manifolds. Journal of Geometry and Physics. Amsterdam: Elsevier Science, 2011, roč. 61, č. 12, s. 2331-2340. ISSN 0393-0440. info

2024/01/18