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, engineering, 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, dynamical systems, and convex geometry.
Our weekly seminar is devoted to the study of several topics in functional analysis, including normed spaces and operators on them, noncommutative theory, and probabilistic methods. The functional analysis and probability group also organizes a workshop every summer.
In October 2009 Texas A&M University will be hosting the seventh annual East Coast Operator Algebras Symposium.
| Faculty | |
|
Michael Anshelevich Operator algebras, free probability Lewis Bowen Ergodic theory, geometry, dynamics Ron Douglas Operator algebras, operator theory Ken Dykema Operator algebras, free probability Ciprian Foias Operator theory, PDE 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 |
Dmitry Panchenko Probability theory Grigoris Paouris Convex geometry Carl M. Pearcy, Jr. Operator theory Gilles Pisier A.G. & M.E. Owen Chair of Mathematics Probability theory, harmonic analysis, operator theory, C*-algebras Alex Poltoratski Harmonic and complex analysis Thomas Schlumprecht Banach spaces, probability theory, convex geometry, mathematics in finance Roger Smith von Neumann algebras, C*-algebras, operator theory Joel Zinn Probability limit theorems, probability inequalities, convex geometry |
| Visiting Faculty | Graduate Students |
|
Aaron Bailey
Javier Alejandro Chavez Dominguez Mitch Hitchcock Kate Jushenko Misko Mitkovski Thanh-Hao Nguyen Daniel Redelmeier Francisco Torres-Ayala |