Functional Analysis

Texas A&M University

Texas A&M University

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.

Faculty | |

Michael AnshelevichOperator algebras, free probability Lewis BowenErgodic theory, geometry, dynamics Ron DouglasOperator algebras, operator theory Ken DykemaOperator algebras, free probability Ciprian FoiasOperator theory, PDE William B. JohnsonA.G. & M.E. Owen Chair of Mathematics Banach spaces, nonlinear functional analysis, probability theory David KerrOperator algebras, dynamical systems David LarsonOperator algebras, wavelets Dan LewisBanach spaces |
Dmitry PanchenkoProbability theory Grigoris PaourisConvex geometry Carl M. Pearcy, Jr.Operator theory Gilles PisierA.G. & M.E. Owen Chair of Mathematics Probability theory, harmonic analysis, operator theory, C*-algebras Alex PoltoratskiHarmonic and complex analysis Thomas SchlumprechtBanach spaces, probability theory, convex geometry, mathematics in finance Roger Smithvon Neumann algebras, C*-algebras, operator theory Joel ZinnProbability 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 Sofia Ortega-Castillo Timothy Rainone Daniel Redelmeier Francisco Torres-Ayala |