Ph.D in Mathematics
October 2023 — now
Institut Fourier, Grenoble, France
Supervisors: Francis Lazarus, Martin Deraux
My name is Alexey Gorelov (Cyrillic spelling: Алексей Горелов), and I am a third-year PhD student at the Institut Fourier in France. My research lies at the crossroads of topology, geometry, and combinatorics, with a particular focus on piecewise-linear topology and topological graph theory. I am also interested in logic, metamathematics, and the philosophy of mathematics.
You can learn more about my research here, or
on Google
Scholar, MathNet.ru
(which contains recordings of several of my talks in Russian), and
arXiv. Feel
free to contact me by 
.
Education
Ph.D in Mathematics (*)
October 2021 — September 2022
Steklov Mathematical Institute, Moscow, Russia
Supervisor: Sergey Melikhov
(*) Left the program in September 2022 due to a relocation to France.
M.Sc. in Mathematics (with excellence)
September 2019 — June 2021
Faculty of Mathematics, HSE, Moscow, Russia
Specialist's degree (≅ M.Sc.) in Applied Mathematics and Informatics
September 2010 — June 2015
Lomonosov Moscow State University, Moscow, Russia
Teaching
Linear Algebra
January 2021 — April 2021
Graduate School of Business, HSE, Moscow, Russia
Mathematical analysis (teaching assistant)
January 2020 — May 2020
Faculty of Mathematics, HSE, Moscow, Russia
Algebra and Geometry
September 2019 — December 2019
Graduate School of Business, HSE, Moscow, Russia
Papers
A.G. Lifting maps between graphs to embeddings. Essays on Topology: Dedicated to Valentin Poénaru, 2025.
Olga Anosova, A.G., Will Jeffcott, Ziqiu Jiang, Vitaliy Kurlin. A complete and bi-continuous invariant of protein backbones under rigid motion. MATCH Comm. Math. Comp. Chemistry, 2025.
A.G. Geometry of collapsing and free deformation retraction. arXiv:2103.16464, 2021.
A.G., Archil Maysuradze. Information model for morphological disambiguation in the Tatar language. [in Russian] Труды X международной конференции "Дискретные модели в теории управляющих систем", 2018.
A.G., Archil Maysuradze, Alexey Salnikov. Delay structure mining in a computing cluster. [in Russian] Суперкомпьютерные дни в России: Труды международной конференции, 2015.
Talks, posters, and other events
Journées de géométrie algorithmique 2025, Roscoff, France
13-17 October 2025
talk
Graphes@Lyon, ENS Lyon, Lyon, France
19 June 2025
seminar talk
Journées de rencontre des doctorants du réseau thématique RTop, Amiens, France
9-11 April 2025
talk
Graphs and complexity, ENS Lyon, France
7-8 April 2025
school
Journées Nationales du GDR IFM, Bordeaux, France
24-27 March 2025
poster
Combinatorics and Geometry in Ioannina, Ioannina, Greece
2-6 September 2024
poster
Young Topologists Meeting 2024, Münster, Germany
5-9 August 2024
talk
Summer School on Low Dimensional Topology, Grenoble, France
17 June - 5 July 2024
school
Séminaire de Mathématiques Discrètes, Grenoble, France
2 May 2024
seminar talk
Geometric Topology Seminar, Moscow, Russia
23 February 2022
seminar talk
Toric topology and combinatorics, Sochi, Russia
1-5 November 2021
school
Young Topologists Meeting 2021, online
5-16 July 2021
poster
Geometric Topology Seminar, Moscow, Russia
28 May 2021
seminar talk
Graduate Student Topology and Geometry Conference 2021, online
9-11 April 2021
poster
Geometric Topology Seminar, Moscow, Russia
26 April, 2 May 2021
seminar talks
Geometric Topology Seminar, Moscow, Russia
11, 18 December 2020
seminar talks
Seminar of ATA Laboratory, Moscow, Russia
5 June 2020
seminar talk
Geometric Topology Seminar, Moscow, Russia
13 May 2020
seminar talk
Geometric Topology Seminar, Moscow, Russia
11 December 2019
seminar talk
International Conference for Students and Young Scientists "Lomonosov-2013"
8-12 April 2013
talk