Nathan M Dunfield

Nathan M Dunfield is an Associate Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC). His academic journey includes postdoctoral roles at Harvard University and the California Institute of Technology, culminating in his PhD from the University of Chicago. He is a Fellow of the American Mathematical Society (2013) and recipient of Simons Fellowships (2012, 2020).

His research focuses on 3-dimensional geometry and topology, hyperbolic geometry, and geometric group theory. Notable contributions include work on hyperbolic 3-manifolds, knot invariants, and experimental mathematics with connections to number theory. Dunfield collaborates across disciplines, engaging with number theorists, physicists, and computer scientists.

Key achievements include developing algorithms for computing link diagrams from manifold exteriors and enumerating essential surfaces in 3-manifolds. His datasets, such as those on hyperbolic knots and Floer homology, are publicly accessible via Harvard Dataverse. Dunfield’s work bridges theoretical foundations with computational methods, influencing both pure and applied mathematical fields.

• Education: PhD in Mathematics, University of Chicago
• Affiliations: UIUC Department of Mathematics, Simons Foundation
• Grants & Awards: Simons Fellowships (2012, 2020), AMS Fellowship (2013)

His research extends to interdisciplinary applications, including engineering systems topology and spatial graph representations for 3D design optimization.