photographed in front of the blackboard in his office

Research Bio

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.

Research Expertise and Interest

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

Teaching

Courses taught during the three most recent terms
2026 Spring
  • Theory of Functions of a Complex Variable  [MATH 205]  

  • Topics in Analysis  [MATH 278]  

  • Individual Research  [MATH 295]  

  • Individual Study for Doctoral Students  [MATH 602]  

2025 Fall
  • Individual Research  [MATH 295]  

  • Reading Course for Graduate Students  [MATH 299]  

  • Individual Study for Doctoral Students  [MATH 602]  

2025 Spring
  • Theory of Functions of a Complex Variable  [MATH 205]  

  • Individual Research  [MATH 295]  

  • Individual Study for Doctoral Students  [MATH 602]