Functional Analysis at Texas A&M University
While it is impossible to give an exact definition of such a vital area as Functional Analysis, its leitmotif 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, or Numerical Analysis. In addition, there are modern day interactions with fields such as Algebraic Topology, Geometry, Probability, Signal Processing, Quantum Information, and Machine Learning.
Our Functional Analysis group has diverse interests: Banach spaces, C*-algebras, von Neumann algebras, noncommutative geometry, harmonic analysis, and nonlinear functional analysis. Furthermore members of our group are interested in applications to convex geometry, dynamical systems, free probability theory, spectral theory, mathematical physics, and probability theory.
Seminars affiliated with the group include the Seminar on Banach and Metric Space Geometry and the Working Seminar on Banach and Metric Spaces, the Noncommutative Geometry Seminar, the Free Probability and Operators Seminar, the Groups and Dynamics Seminar, the Mathematical Physics and Harmonic Analysis Seminar and the Stochastic Processes Seminar. The analysis and probability group also organizes the Workshop in Analysis and Probability every summer. The Douglas and Foias endowed lecture series regularly feature distinguished speakers in Functional Analysis.
Faculty |
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Patricia Alonso Ruiz
Michael Anshelevich
Dean Baskin
Florent Baudier
Gregory Berkolaiko
Simone Cecchini
Andrew Comech
Ron DeVore
Ken Dykema
Simon Foucart
Sherry Gong
Jeffrey Kuan |
Peter Kuchment
David Larson
Wencai Liu
Jonas Lührmann
Grigoris Paouris
Rob Rahm
Kamran Reihani
Thomas Schlumprecht
Roger Smith
Zhizhang Xie
Guoliang Yu |
Visiting Faculty
Hùng Việt Chu Emeritus FacultyStephen FullingPDE, applications in theoretical physics William B. Johnson Banach spaces Dan Lewis, Banach spaces Carl M. Pearcy, Jr. Operator theory Gilles Pisier Functional analysis |
Graduate Students
Luis E. Aceves |
Last update: July 2024.