Vesselin Dimitrov
Vesselin Atanasov Dimitrov | |
|---|---|
| Born | Bulgaria |
| Education | Yale (PhD 2017) |
| Awards |
|
| Scientific career | |
| Fields | Mathematics |
| Institutions | Caltech |
| Thesis | Diophantine approximations by special points and applications to dynamics and geometry (2017) |
| Doctoral advisor | Alexander Goncharov |
Vesselin Atanasov Dimitrov (in Bulgarian: Веселин Атанасов Димитров) is a Bulgarian mathematician. He is a professor at Caltech. The body of his work includes notable contributions to arithmetic geometry, Diophantine geometry, theory of modular forms and number theory.
Dimitrov received the Oberwolfach Prize in 2022. In 2025, he received the Frank Nelson Cole Prize, the Salem Prize, and the Fermat Prize.
Research in mathematics
[edit]In 2019 Dimitrov proved the Schinzel–Zassenhaus conjecture on algebraic units that are not roots of unity.[1][2][3]
Together with Ziyang Gao and Philipp Habegger he authored "Uniformity in Mordell-Lang for curves" (published in Annals of Mathematics, 2021). In this paper they obtain a uniform version of the Mordell conjecture (proved by Gerd Faltings, a Fields Medalist).[4][2][5]
In collaboration with Frank Calegari and Yunqing Tang, Dimitrov proved the unbounded denominators conjecture of A.O.L. Atkin and Swinnerton-Dyer: if a modular form is not modular for some congruence subgroup of the modular group, then the Fourier coefficients of have unbounded denominators.[2][6]
Early life and education
[edit]In 2005 he won a silver medal in the International Mathematics Olympiad, representing Bulgaria.[7]
He earned a PhD from Yale University in 2017 under the supervision of Alexander Goncharov. His thesis is titled "Diophantine approximations by special points and applications to Dynamics and Geometry".[8]
Awards
[edit]Dimitrov's work has been recognized by the following awards:
- In 2022 he was awarded the David Goss Prize in Number Theory (shared with Ziyang Gao)[9] and the Oberwolfach Prize (Algebra and number theory)[2]
- In 2023 he was awarded IMI Mathematics Prize (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences)[10]
- In 2025 he was awarded the Salem Prize "for fundamental contributions to Diophantine geometry and number theory".[11]
- In October 2025, he was named a recipient of the 2026 Frank Nelson Cole Prize in Number Theory, jointly with Frank Calegari and Yunqing Tang, for their paper "The unbounded denominators conjecture", (JAMS, 2025).[12]
- 2025: Fermat Prize.[13]
References
[edit]- ^ McKee, James; Smyth, Chris (2021), "The Schinzel–Zassenhaus Conjecture", Around the Unit Circle, Cham: Springer International Publishing, pp. 69–75, doi:10.1007/978-3-030-80031-4_4, ISBN 978-3-030-80030-7, retrieved 2025-12-02
- ^ a b c d Bost, Jean-Benoît. "Oberwolfach Prize 2022 Laudatio for Vesselin Dimitrov" (PDF). Oberwolfach Research Institute for Mathematics.
- ^ Dimitrov, Vesselin (2019-12-28), A proof of the Schinzel-Zassenhaus conjecture on polynomials, arXiv, doi:10.48550/arXiv.1912.12545, arXiv:1912.12545, retrieved 2025-12-02
- ^ Gaudron, Eric (2025). "Review of 'Uniformity in Mordell-Lang for curves'". Mathematical Reviews (MR4276287).
- ^ Dimitrov, Vesselin; Gao, Ziyang; Habegger, Philipp (2021-07-01). "Uniformity in Mordell–Lang for curves". Annals of Mathematics. 194 (1). doi:10.4007/annals.2021.194.1.4. ISSN 0003-486X.
- ^ Calegari, Frank; Dimitrov, Vesselin; Tang, Yunqing (2025-02-06). "The unbounded denominators conjecture". Journal of the American Mathematical Society. 38 (3): 627–702. doi:10.1090/jams/1053. ISSN 0894-0347.
- ^ International Mathematics Olympiad web-site: Bulgaria 2005
- ^ Vesselin Dimitrov at the Mathematics Genealogy Project
- ^ "Dimitrov and Gao Awarded 2022 David Goss Prize" (PDF). Mathematics People. Notices of the American Mathematical Society. 69 (10): 1832–1833. November 2022.
- ^ "Richard A. Duke Assistant Professor Vesselin Dimitrov is the laureate of the 2023 IMI Mathematics Prize". Georgia Tech. September 4, 2023.
- ^ "2025 Salem Prize Winners - School of Mathematics | Institute for Advanced Study". www.ias.edu. October 27, 2025.
- ^ "AMS :: News from the AMS". www.ams.org.
- ^ Institut de Mathématiques de Toulouse: Fermat Prize 2025