Nikolay Bogachev

Members - Nikolay Bogachev

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

nvbogachev.netlify.app

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.

Appointments

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

Publications

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

Prize for Young Mathematicians of Russia

August 13, 2021
Nikolay Bogachev became one of the winners in the nomination "Young Scientists" of the first Prize for Young Mathematicians of Russia.

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