Vesselin Dimitrov

In 2019 Dimitrov proved the Schinzel–Zassenhaus conjecture on algebraic units that are not roots of unity. 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). 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. ==Early life and education==

In 2005 he won a silver medal in the International Mathematics Olympiad, representing Bulgaria. 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". ==Awards==

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) and the Oberwolfach Prize (Algebra and number theory) • In 2023 he was awarded IMI Mathematics Prize (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences) • In 2025 he was awarded the Salem Prize "for fundamental contributions to Diophantine geometry and number theory". • 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). • 2025: Fermat Prize. • 2026: New Horizons in Mathematics Prize ==References==