2026 Greg Kuperberg: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2479	2201	1036	866	87	6493

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2479

2201

1036

866

6493

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
1998 - Fellow of Alfred P. Sloan Foundation

Overview

Greg Kuperberg is affiliated with the University of California, Davis in the United States, where their research spans several fields related to mathematics and computer science. Their work is focused on areas such as geometric and algebraic topology, mathematical physics, computational theory, and artificial intelligence.

The main fields of study associated with Kuperberg include:

Mathematics
Computer Science

Within these fields, their subfields of focus are:

Geometry and Topology
Mathematical Physics
Computational Theory and Mathematics
Information Systems and Management
Artificial Intelligence

Kuperberg's research covers various advanced topics, including:

Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Topological and Geometric Data Analysis
Scientific Computing and Data Management
Quantum Computing Algorithms and Architecture
Advanced Data Storage Technologies
Finite Group Theory Research

Their recent published papers demonstrate a focus on both theoretical and applied aspects of these topics. Key publications include:

"Breaking the cubic barrier in the Solovay-Kitaev algorithm" (2023), published in arXiv (Cornell University)
"Coloring invariants of knots and links are often intractable" (2021), published in Algebraic & Geometric Topology
"3. Using the arXiv by Greg Kuperberg" (2020), published in Notices of the American Mathematical Society
"The hidden subgroup problem for infinite groups" (2025), published in arXiv (Cornell University)

Kuperberg collaborates with other researchers in their field, including frequent coauthor Eric Samperton.

The primary venues where their work has appeared are:

arXiv (Cornell University)
Algebraic & Geometric Topology
Notices of the American Mathematical Society

Throughout their career, Kuperberg has been recognized by professional organizations. Their awards include:

Fellow of the American Mathematical Society, 2013
Fellow of Alfred P. Sloan Foundation, 1998

Best Publications

Alternating-Sign Matrices and Domino Tilings (Part I)

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

530
Citations
Alternating sign matrices and domino tilings

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

498
Citations
Another proof of the alternating sign matrix conjecture

Greg Kuperberg

449
Citations
Spiders for rank 2 Lie algebras

Greg Kuperberg

448
Citations
A Subexponential-Time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

Greg Kuperberg

389
Citations
What is a virtual link

Greg Kuperberg

384
Citations
Another proof of the alternative-sign matrix conjecture

Greg Kuperberg

366
Citations
Symmetry classes of alternating-sign matrices under one roof

Greg Kuperberg

257
Citations
Alternating-Sign Matrices and Domino Tilings (Part II)

Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

236
Citations
From the Mahler Conjecture to Gauss Linking Integrals

Greg Kuperberg

211
Citations
INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS

Greg Kuperberg

161
Citations
Quantum computation with Turaev–Viro codes

Robert Koenig;Greg Kuperberg;Ben W. Reichardt

150
Citations
Symmetries of plane partitions and the permanent-determinant method

Greg Kuperberg

131
Citations
How Hard Is It to Approximate the Jones Polynomial

Greg Kuperberg

123
Citations
THE QUANTUM G2 LINK INVARIANT

Greg Kuperberg

119
Citations
The capacity of hybrid quantum memory

G. Kuperberg

109
Citations
New constructions for covering designs

Daniel M. Gordon;Oren Patashnik;Greg Kuperberg

100
Citations
Perturbative 3-manifold invariants by cut-and-paste topology

Greg Kuperberg;Dylan P. Thurston

97
Citations
Web bases for sl(3) are not dual canonical

Mikhail Khovanov;Greg Kuperberg

97
Citations
An Exploration of the Permanent-Determinant Method

Greg Kuperberg

91
Citations
Quantum Versus Classical Proofs and Advice

Scott Aaronson;Greg Kuperberg

85
Citations
Noninvolutory Hopf algebras and $3$-manifold invariants

Greg Kuperberg

84
Citations
Another Subexponential-time Quantum Algorithm for the Dihedral Hidden Subgroup Problem

Greg Kuperberg

80
Citations

Frequent Co-Authors

Scott Aaronson The University of Texas at Austin

James Propp University of Massachusetts Lowell

Günter M. Ziegler Freie Universität Berlin

Joel Spencer Courant Institute of Mathematical Sciences

David Eppstein University of California, Irvine

Mikhail Khovanov Columbia University

Oded Schramm Microsoft (United States)

Gil Kalai Hebrew University of Jerusalem

Steven G. Krantz Washington University in St. Louis

External Links

Wikipedia of Greg Kuperberg Personal website of Greg Kuperberg Google Scholar page

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