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Richard Baker |
His interests are in operator algebras, specializing in non-selfadjoint operator algebras.
He is also interested in quantum field theory and distributive artificial intelligence.
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Surjit Khurana |
His interests include Measure Theory, Functional Analysis, General Topology.
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Diego Moreira |
His research interests include
Partial Differential Equations,
Free Boundary Problems, Geometric Measure Theory, Harmonic Analysis &
Potential Theory, and Geometric Nonlinear Functional Analysis. Dr. Moreira
is a visiting Assistant Professor Home Page |
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Erin Pearse |
His research revolves around the study of complex dimensions. This is an
extension of real-valued dimensions like Hausdorff or Minkowski/box
dimensions. Richly structured sets (like fractals) typically have an
infinite sequence of complex dimensions, and these may allow one to
study connections between the geometry and spectrum of the set. I am
especially interested in how the complex dimensions describe the
"geometric oscillations" (that is, the oscillatory behavior of the tube
formula) of a set, and how this can be used to study the curvature of
fractal sets. This theory touches on harmonic analysis, dynamical
systems, geometric measure theory, and convex geometry. Dr. Pearse is a VIGRE post-doctoral fellow.
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Keith Stroyan |
His
research
focuses on applications of Abraham Robinson's modern theory of infinitesimals.
This includes applications to functional analysis, infinite dimensional
manifolds, probability, and economics. He is also an active developer of a new
calculus curriculum that uses
modern computing and includes student projects on real problems.
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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. Home
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Last updated by K. Voss 2/7/06. |
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