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Joel Bellaiche

职称:Professor of Mathematics

所属学校:Brandeis University

所属院系:Mathematics

所属专业:Mathematics, General

联系方式:781-736-3057

简介

University of Paris XI, Ph.D. University of Paris XI, Ed.M. Ecole Normale Superieure, M.A. Ecole Normale Superieure, B.A. My main research interest lies in number theory, both algebraic and, more recently, analytic. I am also interested in the closely related fields of group theory, representation theory, and algebraic geometry. A large part of my work has involved the topic of Galois representations, which provides a unifying language to study many classical and new questions in number theory. Since Galois representations are often difficult to construct, and even more, to study, I develop and use tools belonging to the so-called Langlands program, a large field of current research aiming at understanding deep relations between Galois representations and some more analytic objects called automorphic representations (of which on of the most famous avatar are the modular forms).

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