**Homepage of Anton Galaev**

I am an associate
professor at the Department of Mathematics, Faculty of Science, University of Hradec Králové

**Research interests: **differential geometry (pseudo-Riemannian geometry, holonomy group theory, supergeometry,
foliation theory, characteristic classes of foliations).

**Publications and preprints since 2015**

Ya.V. Bazaikin, A.S. Galaev, P. Gumenyuk, Non-diffeomorphic Reeb
foliations and modified Godbillon-Vey class. Matematische Zeitschrift 300
(2022), 1335—1349.

Ya.V. Bazaikin, A.S. Galaev, Losik classes for codimension one
foliations. Journal of the Institute of Mathematics of Jussieu
21 (2022), 1391—1419.

I. Ernst, A.S.
Galaev, On Lorentzian connections with parallel skew torsion. Documenta Mathematica 27 (2022), 2333-2383.

D. Alekseevsky, I. Chrysikos, A. Galaev, Reductive homogeneous
Lorentzian manifolds. Differential Geometry and its Applications 84 (2022),
101932.

A. Dikarev, A.S. Galaev, Recurrent Lorentzian Weyl spaces and Riccati equation, arXiv:2204.10163.

A. Dikarev, A.S. Galaev, Parallel spinors on Lorentzian Weyl
spaces. Monatshefte für Mathematik 196 (2021), 39—58.

Ya.V. Bazaikin, A.S. Galaev, N.I. Zhukova. Chaos in Cartan
foliations. CHAOS 30 (2020), no. 10, 103116.

I. Chrysikos, A.
Galaev Decomposable (6, 5)-solutions in eleven-dimensional supergravity. Class.
Quantum Grav. 37 (2020) 125004 (26pp)

A.S. Galaev, Comparison of
approaches to characteristic classes of foliations. arXiv:1709.05888

A.S. Galaev, Holonomy
classification of Lorentz-Kähler manifolds. The
Journal of Geometric Analysis 29 (2019), 1075–1108.

A.S. Galaev, Holonomy algebras of Einstein
pseudo-Riemannian manifolds. Journal of
the London Mathematical Society 98 (2018), no. 2, 393-415.

A.S. Galaev, Covariant
derivative of the curvature tensor of pseudo-Kahlerian
manifolds. Annals of Global Analysis and Geometry 51 (2017), no. 3, 245—265.

A.S. Galaev, Holonomy groups of Lorentzian manifolds. Russian
Mathematical Surveys 70 (2015), no. 2, 249—298.

A.S. Galaev, Classification
of third-order symmetric Lorentzian manifolds. Class. Quantum Grav. 32 (2015), no. 2, 025001.

A.S. Galaev, How
to find the holonomy algebra of a Lorentzian manifold.
Letters in Mathematical Physics 105 (2015), no. 2, 199—219.

All preprints and
publications are available here arXiv

**Activities (to be) (co-) organized**

Conference Differential Geometry and its
Applications, 17—22 of July 2022

Online Summer School
on Geometry and Topology**, **July
2021

Geometry and Applications Online
celebrating the 80th birthday of Dmitri Alekseevsky,
7—9 of September 2020

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

Conference Differential Geometry and its
Applications, 1—7 of September 2019

Summer School Geometry and
Topology, August 2019

Spring School Geometry and
Topology, May 2018

**Editorial**

Analysis and Mathematical
Physics since 2020