Egor Bakaev

PhD fellow in Theoretical Computer Science at the Department of Computer Science, University of Copenhagen, since September 2024. Advisor: Amir Yehudayoff

Composer of math olympiads problems. Member of Jury at various math olympiads; notably International Mathematical Olympiad (2020, 2021), All-Russian olympiad Final round (2021-2024)

Research (Discrete and Convex Geometry, Theoretical CS)

Area stability of plank covers
Joint with Amir Yehudayoff

arXiv 2026

Optimal partial plank coverings
Joint with Alexander Polyanskii

arXiv 2026

A simplex-based measure of symmetry
Joint with Amir Yehudayoff

arXiv 2026

A note on the affine plank conjecture
Joint with Amir Yehudayoff

Proceedings of the AMS 2026

Better neural network expressivity: subdividing the simplex
Joint with Florestan Brunck, Christoph Hertrich, Jack Stade, Amir Yehudayoff

STOC 2026

On the depth of monotone ReLU neural networks and ICNNs
Joint with Florestan Brunck, Christoph Hertrich, Daniel Reichman, Amir Yehudayoff

NeurIPS 2026 spotlight (top 5% of the accepted papers)

Talks:
A simplex-based measure of symmetry (invited short talk) The Bremen Town Mathematicians in Convexity, Bremen, 07.09.2026
An observation on the affine plank conjecture (short talk) Prague Conference on Convex Geometry, Prague, 28.08.2026An observation on the affine plank conjecture (short talk) Discrete Mathematics Days conference, Granada, 30.06.2026An observation on the affine plank conjecture (talk) Discrete Geometry and Topological Combinatorics Seminar, Berlin, 21.05.2026Depth of convex polytopes (short talk) EuroCG conference, Hagen, 27.03.2026Depth of convex polytopes (short talk) Workshop on Polyhedral Geometry for Neural Networks, Nuremberg, 20.03.2026Expressivity of neural networks and simplex subdivisions (poster) Combinatorial Geometries & Geometric Combinatorics conference, Barcelona, 27.11.2025Expressivity of neural networks and simplex subdivisions (short talk) IRP Combinatorial Geometries & Geometric Combinatorics Participants' Seminar, Barcelona, 20.11.2025

Math Olympiads

Some of the 350+ problems I have composed for math olympiads:

In English (pdf)

In Russian (problems.ru)

Texts:

Linear Families of Triangles and Orthology (with P.Kozhevnikov), arXiv 2023.

Discharging method. A project at Summer Conference of Tournament of Towns. Serbia, 2019 (with A.Polyanskii et al.)

Generalization of Pompeiu's theorem (pdf) 2017

List of educational publications in Russian (pdf)

Contact

egor.bakaev@gmail.com
www.linkedin.com/in/egor-bakaev