Dr. Nathan Dunfield

Professor

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Biography

Nathan M. Dunfield is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign. He specializes in the fields of topology and geometry, particularly focusing on 3-manifolds. Dunfield's research interests lie at the intersection of 3-dimensional geometry, hyperbolic geometry, geometric group theory, and experimental mathematics. His work builds upon Thurston's revolutionary contributions to the field from the 1970s, with a significant focus on the topology of 3-manifold geometry that has implications for understanding Riemannian metrics. He is notable for his contributions to Perelman’s proof of the Geometrization Conjecture. Throughout his career, he has collaborated with number theorists, theoretical physicists, and computer scientists, producing research that has explored concepts like the Langlands Conjecture and the classification of finite simple groups. In 2013, he was honored as a Fellow of the American Mathematical Society for his contributions to mathematics.

Research Interests

Experience

Associate Professor

2007-06-01 — Present

University of Illinois at Urbana-Champaign • Urbana, IL

Promoted to Associate Professor in the Department of Mathematics, focusing on topology and geometry.

Requirements for University of Illinois

Master Program
Requirements
GPA Requirement
Required:3
IELTS
Listening
Required:7
Reading
Required:7
Writing
Required:7
Speaking
Required:7
Overall
Required:7.5
TOEFL
Listening
Required:17
Reading
Required:19
Writing
Required:21
Speaking
Required:20
Total
Required:103
GRE General
Prerequisites
Mathematical background Linear Algebra Calculus
Application Checklist
  • Online application
  • Unofficial transcripts
  • 3 Letters of Recommendation
  • Academic Statement of Purpose
  • Resume/CV
Specialization Notes

GRE is optional for admission to all graduate programs in Statistics. Full status admission requires higher language scores than limited status.