**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).

**Selected recent publications and preprints**

A. Dikarev, A.S. Galaev, Parallel spinors on Lorentzian Weyl
spaces. __arXiv:2007.07615__

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)

Ya.V. Bazaikin, A.S. Galaev, P. Gumenyuk, Non-diffeomorphic Reeb
foliations and modified Godbillon-Vey class. __arXiv:1912.01267__

Ya.V. Bazaikin, A.S. Galaev, Losik classes for codimension one
foliations. arXiv: 1810.01143 Accepted to Journal of the Institute
of Mathematics of Jussieu

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

All preprints and
publications are available here arXiv

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

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

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