Research Expertise and Interest

operator algebras, free probability theory, random matrices, K-theory of operator algebras, single operator theory

Research Description

Dan-Virgil Voiculescu is a professor in the Department of Mathematics.  Main research focus: free probability is a probabilistic framework adapted to quantities with the highest degree of noncommutativity. The theory has applications to von Neumann algebras and to the large N limit of random multimatrix models. In another direction, he also studies normed ideal perturbations of Hilbert space operators.