Dr. Richard Borcherds

Professor

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Biography

Richard E. Borcherds is a Professor in the Department of Mathematics at the University of California, Berkeley. He was appointed to his faculty position in 1993. His research is focused on the study of mathematical structures in areas such as Lie algebras, vertex algebras, and automorphic forms. Borcherds has made significant contributions to the field, including numerous publications in top mathematical journals. His work has been recognized by various accolades in the mathematical community, and he has participated in prominent conferences, sharing insights into quantum vertex algebras and related topics. He is an influential figure in contemporary mathematics, connecting various disciplines through his research.

Research Interests

Experience

Professor

— Present

University of California, Berkeley • Berkeley, CA

Professor in the Department of Mathematics, engaged in teaching and research.

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.