Group Representation and Number Theory


Faculty
  Frauke Bleher Her interests are in representation theory of groups and of finite dimensional algebras. Home Page
     
  Muthu Krishnamurthy His research interest lies in the intersection of number theory and representation theory. His research interests include: automorphic forms, L-functions, representation theory, and the Langlands program. Home Page
Phil Kutzko Kutzko works in number theory, especially in the program for understanding classfield theory that originated with the ideas of R.P. Langlands. His research interests are centered on the representation theory and harmonic analysis of p-adic groups. Home Page
Luis Lomeli His interests include Automorphic L-functions and  Representations Theory. Langlands functoriality plays a central role in modern Number Theory. It lies at the crossroads of Automorphic Forms and Representation Theory. His current research involves understanding L-functions attached to automorphic representations of a split reductive algebraic group over a global function field. This has already led him to establish a Langlands functorial lift from the split classical groups to GL_N, for an appropriate N.  Dr. Lomeli is a VIGRE post-doctoral fellow.  Home Page
     
  Pace Nielsen His interestes include all aspects of ring theory and module theory, but he specializes in properties related to direct sum decompositions.  He also enjoys classical number theory problems, including the odd perfect number problem. Dr. Nielsen is a VIGRE post-doctoral fellow.  Home Page
Tuong Ton-That His main research interests can be grouped into three categories: 1) Group Representations: Representation Theory of Lie groups and inductive limits of Lie groups, Invariant Theory; 2) Abstract Harmonic Analysis: Generalization of the theory of the Fourier tranform on the circle group to more abstract groups; 3) Mathematical Physics: Applications of group theory to Quantum Mechanics. Home Page
Yangbo Ye His research is focused on analytic and functorial behavior of automorphic L-functions. This includes bounds and zero-free regions for autmorphic L-functions, their prime number theorem, orthogonality, zero distribution, and factorization to primitive L-functions, as well as base change, automorphic induction, relative trace formulas, and the global theory in the Langlands program. Home Page
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Last updated by Kendall Atkinson 11/26/07.