Functional Analysis at
Texas A&M University
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While it is impossible to give an exact definition of such a vital
area as Functional Analysis, its leitmotiv is the amalgamation of algebraic
and topological structures: vector spaces endowed with topologies, operators
between these vector spaces, and algebras of operators. These structures
are found at the core of many fields inside and outside of Mathematics,
for example Quantum Physics, Engeneering, Differential Equations, Numerical
Analysis. In addition, there are modern day interactions with fields such
as Algebraic Topology, Finance, Geometry, Probability and Signal Processing.
Our Functional Analysis group has diverse interests: Banach spaces,
operator spaces, C*-algebras, von Neumann algebras, nonlinear functional
analysis. Furthermore members of our group are interested in applications
to probability theory, free probability theory, wavelets, mathematical
finance, convex geometry.
The above link is to the schedule of our weekly seminar, which is
devoted to the study of several topics in functional analysis, including
normed spaces and operators on them, noncommutative theory and probabilistic methods.
Every summer our functional analysis and probability group is organizing
a workshop.
Faculty
- Michael Anshelevich
- Operator algebras, free probability theory
- Ron Douglas
- Operator algebras, operator theory
- Ken Dykema
- Operator algebras, free probability theory
- William B. Johnson,
A.G. & M.E. Owen Chair of Mathematics
- Banach spaces, nonlinear functional analysis, probability theory
- David Kerr
- Operator algebras, dynamical systems.
- David Larson
- Operator algebras, wavelets
- Dan Lewis
- Banach spaces
- Grigoris Paouris
- Covex Geometry
- Carl M. Pearcy, Jr.
- Operator theory
- Gilles Pisier,
A.G. and M.E. Owen Chair of Mathematics
- Probability theory, harmonic analysis, operator theory, C*-algebras
- Thomas Schlumprecht
- Banach spaces, probability theory, convex geometry, mathematics in finance
- Roger Smith
- von Neumann algebras, C*-algebras, CSL-algebras, operator theory
- Joel Zinn
- Probability limit theorems, probability inequalities, convex geometry
Visiting Faculty
- Tarn Adams
- Functional analysis, geometric measures.
- Julien Giol
- Functional analysis, operator theory, dynamical systems.
- Jaydeb Sarkar
- Operator theory.
- Evgeny Troitskiy,
- Operator algebras, elliptic operators.
- Stuart White
- Von Neumann algebras.
Graduate Students
- Jan Cameron
- Detelin Dosev
- Dan Freeman
- Mitch Hitchcock
- Larry Holifield
- Nikolay Ivanov
- Misko Mitkovski
- Kunal Mukherjee
- Nga Nguyen
- Lidia Smith
- Gabriel Tucci
- Alan Wiggins
- Bentuo Zheng
Last modified November 18, 2006.