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Frauke Bleher |
Her
interests are in representation theory of groups and of finite dimensional
algebras. Home Page |
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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 |
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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.
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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.
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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.
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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.
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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.
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