معرفی
Jan B. Vonk is a Professor of Mathematics at Leiden University's Mathematical Institute. Appointed full professor in November 2023, he leads research in number theory with a focus on real quadratic fields, p-adic analysis, and modular forms. His work bridges classical number theory with modern computational approaches, establishing him as a significant contributor to arithmetic geometry.
Jan Vonk completed his mathematics studies at Ghent University, University of Iceland, and University of Cambridge, followed by a doctorate at the University of Oxford. After academic positions in Canada, the UK, and the US, he joined Leiden University in 2020.
Professor Vonk's research centers on applying rigid analytic methods to problems in number theory, particularly concerning real quadratic fields. He has made groundbreaking contributions to the theory of rigid meromorphic cocycles and their applications to singular moduli, extending classical results beyond the imaginary quadratic setting. His work often explores the connections between modular forms, arithmetic geometry, and p-adic analysis, developing novel computational tools for theoretical investigations.
His publication record shows a clear progression from computational aspects of overconvergent modular forms to more theoretical investigations of rigid cocycles and their arithmetic applications. Recent work demonstrates increasing sophistication in handling real quadratic fields through p-adic methods, with significant contributions to understanding Borcherds products, arithmetic intersections, and the Chabauty method for modular curves.
- ERC Starting Grant (2023) - Five-year research grant supporting his work on real quadratic fields
- VIDI grant (2022) - Major Dutch research grant from NWO
Professor Vonk supervises multiple PhD candidates including Paolo Bordignon, Alex Braat, Håvard Damm-Johnsen, and Antigona Pajaziti. His research group develops specialized computational tools for number theory, particularly Magma packages for rigid meromorphic cocycles and quadratic Chabauty implementations. He maintains active collaborations with leading mathematicians worldwide, especially in North America where he previously worked.
Based in the Gorlaeus Building at Leiden University, Vonk is a core member of the Number Theory, Algebra and Geometry research group. His computational work has practical applications in advancing theoretical understanding of arithmetic problems that have challenged mathematicians for decades.
