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.