Dr. Harold Williams

Assistant Professor

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Biography

Harold Williams is an Assistant Professor in the Department of Mathematics at the University of Southern California Dornsife College of Letters, Arts and Sciences. He earned his Ph.D. in Mathematics from the University of California, Berkeley in May 2014. Prior to that, he completed his B.S. in Mathematics and B.A. in Music at the University of Texas at Austin, both in May 2008. His research interests revolve around advanced topics in mathematics including representation theory, algebraic geometry, symplectic geometry, and mathematical physics. Williams contributes to the academic community through both teaching and research, aiming to further knowledge in these specialized areas of mathematics.

Research Interests

Representation Theory Algebraic Geometry Symplectic Geometry Mathematical Physics

Requirements for University of Southern California

Master Program
Requirements
GPA Requirement
Required:3
TOEFL
Listening
Required:20
Reading
Required:20
Writing
Required:20
Speaking
Required:20
Total
Required:90
IELTS
Listening
Required:6
Reading
Required:6
Writing
Required:6
Speaking
Required:6
Overall
Required:6.5
GRE General
Prerequisites
Bachelor's degree in Engineering, Math, or Hard Science
Application Checklist
  • Online application
  • Official transcripts
  • Personal Statement
  • Resume/CV
  • Letters of Recommendation (not required for MS CS, but allowed)
Specialization Notes

GRE is NOT required for Master's applicants for 2025-2026.