Richard E. Borcherds

Research Bio

Richard Borcherds's areas of specialization include quantum field theory, positive definite lattices, automorphic forms, hyperbolic reflection groups, vertex algebras, and Kac-Moody algebras. His most recent research focusses on quantum field theory.

Research Expertise and Interest

mathematics, lie algebras, vertex algebras, automorphic forms

Teaching

Courses taught during the three most recent terms
2026 Spring

  • Mathematical Tools for the Physical Sciences  [MATH 121B]  

  • Field Study  [MATH 197]  

  • Supervised Independent Study and Research  [MATH 199]  

  • Individual Research  [MATH 295]  

  • Individual Study for Doctoral Students  [MATH 602]  

2025 Fall

  • Supervised Independent Study and Research  [MATH 199]  

  • Groups, Rings, and Fields  [MATH 250A]  

  • Individual Research  [MATH 295]  

  • Reading Course for Graduate Students  [MATH 299]  

  • Individual Study for Doctoral Students  [MATH 602]  

2025 Summer

  • Supervised Independent Study and Research  [MATH 199]  

  • Supplementary Work in Lower Division Mathematics  [MATH 49]  

2025 Spring

  • Honors Thesis  [MATH 196]  

  • Field Study  [MATH 197]  

  • Supervised Independent Study and Research  [MATH 199]  

  • Individual Research  [MATH 295]  

  • Individual Study for Doctoral Students  [MATH 602]