ProfessorsProfessors of University of Illinois at Urbana-ChampaignNathan Dunfield

Nathan Dunfield

University of Illinois at Urbana-Champaign

H-index: 22

North America-United States

About Nathan Dunfield

Nathan Dunfield, With an exceptional h-index of 22 and a recent h-index of 14 (since 2020), a distinguished researcher at University of Illinois at Urbana-Champaign, specializes in the field of Topology, geometry, and number theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Roots of Alexander polynomials of random positive 3-braids

Computing a link diagram from its exterior

PERMISSIONS & ACKNOWLEDGMENTS xvii

1-loop equals torsion for fibered 3-manifolds

On the rank of knot homology theories and concordance

Local equivalence and refinements of Rasmussen's s-invariant

Enumeration and Identification of Unique 3D Spatial Topologies of Interconnected Engineering Systems Using Spatial Graphs

A unified Casson-Lin invariant for the real forms of SL (2)

Nathan Dunfield Information

University	University of Illinois at Urbana-Champaign
Position	Professor of Mathematics
Citations(all)	2291
Citations(since 2020)	864
Cited By	1836
hIndex(all)	22
hIndex(since 2020)	14
i10Index(all)	29
i10Index(since 2020)	20
Email	Access Email
University Profile Page	University of Illinois at Urbana-Champaign
Google Scholar	View Google Scholar Profile

Nathan Dunfield Skills & Research Interests

Topology

geometry

and number theory

Top articles of Nathan Dunfield

Title	Journal	Author(s)	Publication Date
Roots of Alexander polynomials of random positive 3-braids	arXiv preprint arXiv:2402.06771	Nathan M Dunfield Giulio Tiozzo	2024/2/9
Computing a link diagram from its exterior	Discrete & Computational Geometry	Nathan M Dunfield Malik Obeidin Cameron Gates Rudd	2024/1
PERMISSIONS & ACKNOWLEDGMENTS xvii	Collected Works of William P. Thurston with Commentary: III. Dynamics, Computer Science and General Interest	James W Cannon Nathan M Dunfield	2023/6/8
1-loop equals torsion for fibered 3-manifolds	arXiv e-prints	Nathan M Dunfield Stavros Garoufalidis Seokbeom Yoon	2023/4
On the rank of knot homology theories and concordance	arXiv preprint arXiv:2303.04233	Nathan M Dunfield Sherry Gong Thomas Hockenhull Marco Marengon Michael Willis	2023/3/7
Local equivalence and refinements of Rasmussen's s-invariant	arXiv preprint arXiv:2312.09114	Nathan M Dunfield Robert Lipshitz Dirk Schuetz	2023/12/14
Enumeration and Identification of Unique 3D Spatial Topologies of Interconnected Engineering Systems Using Spatial Graphs	Journal of Mechanical Design	Satya R T Peddada Nathan Dunfield Lawrence Zeidner Zane Givans Kai James ...	2023/7/18
A unified Casson-Lin invariant for the real forms of SL (2)	arXiv preprint arXiv:2209.03382	Nathan M Dunfield Jacob Rasmussen	2022/9/7
Counting essential surfaces in 3-manifolds	Inventiones mathematicae	Nathan M Dunfield Stavros Garoufalidis J Hyam Rubinstein	2022/5
Systematic enumeration and identification of unique spatial topologies of 3D systems using spatial graph representations		Satya RT Peddada Nathan M Dunfield Lawrence E Zeidner Kai A James James T Allison	2021/8/17
Data for Twisted Alexander polynomials for hyperbolic knots		Nathan Dunfield Stefan Friedl Nicholas Jackson	2021/3/10
Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds	Geometry & Topology	Nathan M Dunfield	2020/11/10