معرفی
Professor Payman Kassaei is a leading academic in Number Theory at King's College London, Department of Mathematics. He holds the rank of Professor and specializes in Arithmetic Geometry, focusing on the interplay between modular forms, Galois representations, and Shimura varieties. His research emphasizes p-adic methods, including overconvergent modular forms and their role in the p-adic Langlands programme. Kassaei obtained his PhD from MIT in 1999 and has held positions at institutions like McGill University before joining King's in 2006.
- Education: PhD in Mathematics from MIT (1999)
- Affiliations: Member of the Number Theory group at King's College London
His research explores congruences between modular forms modulo primes, leveraging cohomology studies over Shimura varieties. Key topics include Hilbert modular forms, canonical subgroups, and mod p dynamics of Hecke operators. Kassaei has contributed to major projects like the Langlands Programme and has held EPSRC grants. His work appears in prestigious journals such as Compositio Mathematica and Astérisque.
Recent publications highlight advancements in Jacquet-Langlands relations, minimal weights of Hilbert modular forms, and p-adic dynamics. His 2023 paper on Jacquet-Langlands relations and Serre filtration exemplifies his innovative use of geometric methods. Kassaei has organized conferences and delivered invited lectures, including a 2024 inaugural lecture on 'Arithmetic and Geometry.'
Grants include leadership in the EPSRC-funded 'Langlands reciprocity and the geometry of Shimura varieties.' Collaborations with scholars like Fred Diamond and Shu Sasaki underscore his international impact in arithmetic geometry.
