2026 Louis H. Kauffman: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	62	469	392	242	188	486	18081

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

469

392

242

188

486

18081

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Louis H. Kauffman is affiliated with the University of Illinois at Chicago in the United States. Their research intersects mathematics and physics, with significant contributions across several subfields and topics within these areas.

The main fields of study in Kauffman's work include:

Mathematics
Physics and Astronomy

Their research spans subfields such as:

Geometry and Topology
Mathematical Physics
Atomic and Molecular Physics, and Optics
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

The primary topics covered in their work are:

Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Combinatorial Mathematics
Topological and Geometric Data Analysis
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Advanced Operator Algebra Research

Notable recent papers by Louis H. Kauffman include:

Rectangular knot diagrams classification with deep learning, 2022, Journal of Knot Theory and Its Ramifications
On the operator origins of classical and quantum wave functions, 2023, Quantum Studies Mathematics and Foundations
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density, 2024, Symmetry
Parity, virtual closure and minimality of knotoids, 2021, Journal of Knot Theory and Its Ramifications
Invariants of Bonded Knotoids and Applications to Protein Folding, 2022, Symmetry

Frequent collaborators in Kauffman's research include:

Eiji Ogasa
Neslihan Gügümcü
Xerxes D. Arsiwalla
Scott Baldridge
Sofia Lambropoulou

Kauffman's publications appear predominantly in these venues:

arXiv (Cornell University)
Journal of Knot Theory and Its Ramifications
Symmetry
Series on knots and everything
European Journal of Combinatorics

Louis H. Kauffman has also contributed to book publications through World Scientific, with titles including:

Laws of Form, 2021
Fundamental Physics at the Vigier Centenary, 2021
Shape and Energies of Geometric Objects, 2025

The scientist was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

State Models and the Jones Polynomial

Louis H. Kauffman

2268
Citations
Virtual Knot Theory

Louis H. Kauffman

1687
Citations
Knots and physics

Louis H. Kauffman

1125
Citations
An invariant of regular isotopy

Louis H. Kauffman

916
Citations
Temperley-Lieb recoupling theory and invariants of 3-manifolds

Louis H. Kauffman;Sóstenes Lins

639
Citations
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

Louis H. Kauffman;Sostenes Lins

638
Citations
Formal Knot Theory

Louis H. Kauffman

386
Citations
Invariants of graphs in three-space

Louis H. Kauffman

346
Citations
New invariants in the theory of knots

Louis H. Kauffman

340
Citations
Braiding operators are universal quantum gates

Louis H Kauffman;Samuel J Lomonaco

316
Citations
Self-reference and recursive forms

Louis H. Kauffman;Louis H. Kauffman

238
Citations
Biquandles and virtual links

Roger Fenn;Mercedes Jordan-Santana;Louis Kauffman

221
Citations
State-Sum Invariants of 4-Manifolds

Louis Crane;Louis H. Kauffman;David N. Yetter

216
Citations
Free fermions and the Alexander-Conway polynomial

L. H. Kauffman;H. Saleur

182
Citations
A Tutte polynomial for signed graphs

L. H. Kauffman

179
Citations
Quantum entanglement and topological entanglement

Louis H Kauffman;Samuel J Lomonaco

177
Citations
Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links

Louis H. Kauffman;David E. Radford

175
Citations
Visualizing quaternion rotation

John C. Hart;George K. Francis;Louis H. Kauffman

174
Citations
Ray tracing deterministic 3-D fractals

J. C. Hart;D. J. Sandin;L. H. Kauffman

173
Citations
Virtual Crossing Number and the Arrow Polynomial

H. A. Dye;Louis H. Kauffman

170
Citations
An Introduction to Knot Theory

Louis H. Kauffman

6
Citations

Frequent Co-Authors

David E. Radford University of Illinois at Chicago

Frank Harary New Mexico State University

Thomas A. DeFanti University of California, San Diego

Hubert Saleur CEA Saclay

John E. Hearst University of California, Berkeley

Sajad Jafari Amirkabir University of Technology

Andrzej Stasiak University of Lausanne

Robin Thomas Georgia Institute of Technology

Doros N. Theodorou National Technical University of Athens

Goong Chen Texas A&M University

External Links

Wikipedia of Louis H. Kauffman Personal website of Louis H. Kauffman

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