2026 George Lusztig: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	74	211	178	120	96	364	29435

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

211

178

120

364

29435

Research.com Recognitions

2026 - Research.com Mathematics in United States Leader Award
2025 - Research.com Mathematics in United States Leader Award
2013 - Fellow of the American Mathematical Society
2008 - Steele Prize for Lifetime Achievement
1999 - Brouwer Medal
1992 - Member of the National Academy of Sciences
1991 - Fellow of the American Academy of Arts and Sciences
1985 - Frank Nelson Cole Prize in Algebra
1983 - Fellow of the Royal Society, United Kingdom
1982 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

George Lusztig is affiliated with the Massachusetts Institute of Technology (MIT) in the United States. The scientist's research focuses primarily on the field of Mathematics, with a particular emphasis on several subfields including Mathematical Physics, Geometry and Topology, Discrete Mathematics and Combinatorics, Algebra and Number Theory, and Spectroscopy.

The body of work covers various main topics such as:

Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Finite Group Theory Research
Advanced Combinatorial Mathematics
Algebraic Geometry and Number Theory
Geometric and Algebraic Topology

Notable recent publications include:

Positive Structures in Lie Theory, 2020, published in Notices of the International Consortium of Chinese Mathematicians
The Grothendieck group of unipotent representations: A new basis, 2020, published in Representation Theory of the American Mathematical Society
Total Positivity in Springer Fibres, 2020, published in The Quarterly Journal of Mathematics
Positive conjugacy classes in Weyl groups, 2020, published in Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
Open problems on Iwahori-Hecke algebras, 2020, published in arXiv (Cornell University)

Frequent publication venues for this researcher include:

arXiv (Cornell University)
Representation Theory of the American Mathematical Society
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
The Quarterly Journal of Mathematics
Indagationes Mathematicae

Collaborations are a significant part of this researcher's output. Frequent co-authors include:

Zhiwei Yun
Eric Sommers
Pierre Deligne
Jr. Vogan David A.
Sergey Fomin

The scientist has been recognized with multiple awards and honors over the years. These include:

Fellow of the Royal Society, United Kingdom (1983)
Fellow of John Simon Guggenheim Memorial Foundation (1982)
Frank Nelson Cole Prize in Algebra (1985)
Fellow of the American Academy of Arts and Sciences (1991)
Member of the National Academy of Sciences (1992)
Brouwer Medal (1999)
Steele Prize for Lifetime Achievement (2008)
Fellow of the American Mathematical Society (2013)

Best Publications

Introduction to Quantum Groups

George Lusztig

3299
Citations
Representations of Coxeter Groups and Hecke Algebras.

David Kazhdan;George Lusztig

2598
Citations
Canonical bases arising from quantized enveloping algebras

G. Lusztig

1828
Citations
Representations of reductive groups over finite fields

Pierre Deligne;G. Lusztig

1050
Citations
Affine Hecke algebras and their graded version

George Lusztig

1030
Citations
Characters of reductive groups over a finite field

George Lusztig

782
Citations
Quantum deformations of certain simple modules over enveloping algebras

G Lusztig

754
Citations
Quivers, perverse sheaves, and quantized enveloping algebras

G. Lusztig

738
Citations
Proof of the Deligne-Langlands conjecture for Hecke algebras

David Kazhdan;George Lusztig

724
Citations
Quantum groups at roots of 1

George Lusztig

716
Citations
Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra

George Lusztig

662
Citations
Intersection cohomology complexes on a reductive group.

G. Lusztig

545
Citations
Hecke Algebras With Unequal Parameters

George Lusztig

516
Citations
Character sheaves, V

George Lusztig

496
Citations
Tensor structures arising from affine Lie algebras. III

Unknown

475
Citations
Total Positivity in Reductive Groups

G. Lusztig

473
Citations
Green polynomials and singularities of unipotent classes

G Lusztig

431
Citations
Some examples of square integrable representations of semisimple p-adic groups

George Lusztig

386
Citations
A geometric setting for the quantum deformation of $GL_n$

Unknown

370
Citations
Cuspidal local systems and graded Hecke algebras, I

George Lusztig

369
Citations
Induced Unipotent Classes

G. Lusztig;N. Spaltenstein

347
Citations
Cells in Affine Weyl Groups

George Lusztig

323
Citations

Frequent Co-Authors

David Kazhdan Hebrew University of Jerusalem

David A. Vogan MIT

Pierre Deligne Institute for Advanced Study

Claudio Procesi Sapienza University of Rome

John Milnor Stony Brook University

Roger Howe Texas A&M University

Jacques Tits Collège de France

Ivan Cherednik University of North Carolina at Chapel Hill

External Links

Wikipedia of George Lusztig Personal website of George Lusztig

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