Nikolay Bogachev


Skoltech & MIPT
Research interests:

Geometric group theory, geometric topology, hyperbolic manifolds and orbifolds, discrete subgroups of Lie groups, arithmetic groups, hyperbolic reflection groups, Coxeter polytopes

Short Bio

I am a mathematician with research interests in the fields of geometry, algebra, topology and number theory. I graduated with honor from the Moscow State University in 2014. In 2018, I finished my PhD program at the MSU. In 2019, I got my PhD in Mathematics (at the HSE) under the supervision of Prof. Ernest Vinberg. In 2017 and 2018, I was awarded by the Simons Foundation Prize for PhD students in Mathematics.


Nov 2019 - present, The Center for Advanced Studies at Skoltech, Moscow, Russia: Post-Doctoral Fellow (head: Prof. A. Gaifullin)
Nov 2019 - present, MIPT - Moscow Institute of Physics and Technology, Moscow, Russia: Assistant Professor
Sep 2016 - Oct 2019, MIPT - Moscow Institute of Physics and Technology, Moscow, Russia: Lecturer and Teaching Assistant
Dec 2015 - Feb 2017, JSC «Infotecs», Moscow, Russia: Researcher in geometric and algebraic applications to cryptography
Sep 2014 - June 2015, The Center of Online Education «Foxford», Moscow, Russia: Methodist and teaching assistant on geometric and olympiad’s courses
Feb 2010 - Apr 2016, School N54, Moscow, Russia: Teacher in Mathematics


Journal publications

  1. N. Bogachev, A. Kolpakov,
    On faces of quasi-arithmetic Coxeter polytopes , Int.Math.Res.Notices(IMRN), Vol. 2021, No. 4, pp. 3078--3096
  2. N. Bogachev,
    On classification of stably reflective hyperbolic $\mathbb{Z}[\!\sqrt{2}]$-lattices of rank $4$ , Doklady Math., 2019, Vol. 486:1, pp. 7--11
  3. N. Bogachev,
    Classification of $(1{,}2)$-reflective anisotropic hyperbolic lattices of rank $4$ , Izv. Math., 2019, Vol. 83:1, pp. 3--24
  4. N. Bogachev, A. Perepechko,
    Vinberg's Algorithm for Hyperbolic Lattices , Math. Notes, 2018, Vol. 103:5, pp. 836--840
  5. N. Bogachev,
    Reflective anisotropic hyperbolic lattices of rank $4$ , Russian Math. Surveys, 2017, Vol. 1, pp. 193 -- 194