Dr. Dan Virgil Voiculescu

Professor

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Biography

Dan-Virgil Voiculescu is a professor in the Department of Mathematics at the University of California, Berkeley, specializing in operator algebras and their applications in various fields of mathematics. He has made significant contributions to the field, particularly in understanding free probability and its connections to random matrices and von Neumann algebras. Throughout his career, Voiculescu has authored numerous publications that explore the boundaries of mathematical concepts, utilizing advanced techniques in geometry and algebra. His notable works include studies on free entropy and the implications of certain operator ideals. He is recognized for his deep insights and innovative approaches to challenging problems in mathematics, solidifying his reputation as a leader in his research area. His ongoing work continues to influence the mathematical community.

Research Interests

Operator Algebras Hilbert Space Operators Modulo Normed Ideals Free Probability Applications to Random Matrices Von Neumann Algebras

Experience

Professor

— Present

University of California, Berkeley • Berkeley, CA

Teaches and conducts research in the field of mathematics with a focus on operator algebras and free probability.

Requirements for University of California, Berkeley

Doctorate Program
Requirements
GPA Requirement
Required:3
GRE Subject
Overall Score
Required:500
Overall
Required:500
TOEFL
Total
Required:90
IELTS
Overall
Required:7
Prerequisites
Bachelor's degree or recognized equivalent Preparation comparable to undergraduate major at Berkeley in Mathematics or Applied Mathematics 2 full years lower-division work (Calculus, Linear Algebra, Differential Equations, Multivariable Calculus) 8 one-semester upper-division courses (Real Analysis, Complex Analysis, Abstract Algebra, Linear Algebra)
Application Checklist
  • Graduate Application
  • Statement of Purpose
  • Personal History Statement
  • Three Letters of Recommendation
  • Unofficial Transcripts
  • C.V./Resume
  • Course and Textbook List
Specialization Notes

The Mathematics Subject GRE is required for the Fall 2026 admissions cycle. General GRE is optional.