Vesselin Dimitrov
Vesselin Dimitrov
Professor of Mathematics
A.B., Harvard University, 2010; M.S., Yale University, 2014; Ph.D., 2017. Professor, Caltech, 2024-.
Research Interests: Number Theory, Diophantine Geometry, and related problems from Algebraic Geometry, Representation Theory and Harmonic Analysis
Overview
Vesselin Dimitrov is a Professor of Mathematics at Caltech. Prof Dimitrov works in the field of number theory, Diophantine geometry, and related problems from algebraic geometry, representation theory and harmonic analysis. He proved two famous conjectures from the 1970s: The Schinzel-Zassenhaus conjecture for algebraic units close to the unit circle and the "unbounded denominators" conjecture, which concerns incongruent modular forms.
Selected Awards
- New Horizons in Mathematics Prize, 2026; "for work in Diophantine geometry, including the proof of the Atkin-Swinnerton-Dyer unbounded denominators conjecture and new irrationality results for special values of Dirichlet L-series"
- American Mathematical Society Frank Nelson Cole Prize for Number Theory, 2026
- Salem Prize, 2025; "for fundamental contributions to Diophantine geometry and number theory"
- Fermat Prize, European Mathematical Society, 2025; "for major advances in number theory, Diophantine geometry and the theory of modular forms"
- The Institute of Mathematics and Informatics (IMI) of the Bulgarian Academy of Sciences, 2023; "for his outstanding contributions to number theory and Diophantine geometry"
- Oberwolfach Prize, 2022; "for his outstanding contribution to number theory and Diophantine geometry"
- David Gross Prize, 2022
Selected Awards
- New Horizons in Mathematics Prize, 2026; "for work in Diophantine geometry, including the proof of the Atkin-Swinnerton-Dyer unbounded denominators conjecture and new irrationality results for special values of Dirichlet L-series"
- American Mathematical Society Frank Nelson Cole Prize for Number Theory, 2026
- Salem Prize, 2025; "for fundamental contributions to Diophantine geometry and number theory"
- Fermat Prize, European Mathematical Society, 2025; "for major advances in number theory, Diophantine geometry and the theory of modular forms"
- The Institute of Mathematics and Informatics (IMI) of the Bulgarian Academy of Sciences, 2023; "for his outstanding contributions to number theory and Diophantine geometry"
- Oberwolfach Prize, 2022; "for his outstanding contribution to number theory and Diophantine geometry"
- David Gross Prize, 2022
PhD Thesis: Diophantine Approximation by Special Points andApplications to Dynamics and Geometry
Related Courses
Ma 162 ab. Topics in Number Theory.
9 units (3-0-6); second term, 2025-26.
Prerequisites: Ma 160.
The course will discuss in detail some advanced topics in number theory, selected from the following: Galois representations, elliptic curves, modular forms, L-functions, special values, automorphic representations, p-adic theories, theta functions, regulators.
Part b not offered 2025-26.
Instructor: Dimitrov
Instructor: Dimitrov