2026 Michael Aschbacher: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2456	2182	1030	862	231	7265

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2456

2182

1030

862

231

7265

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
2012 - Wolf Prize in Mathematics for his work on the theory of finite groups.
2012 - Steele Prize for Mathematical Exposition
2011 - Rolf Schock Prize for Mathematics
1992 - Fellow of the American Academy of Arts and Sciences
1990 - Member of the National Academy of Sciences
1980 - Frank Nelson Cole Prize in Algebra
1973 - Fellow of Alfred P. Sloan Foundation

Overview

Michael Aschbacher is affiliated with the California Institute of Technology in the United States. Their research focuses primarily on Mathematics, with a strong concentration on Discrete Mathematics and Combinatorics, Mathematical Physics, Geometry and Topology, Artificial Intelligence, and Algebra and Number Theory.

Their work covers several main topics including Finite Group Theory Research, Advanced Algebra and Geometry, Algebraic structures and combinatorial models, Coding theory and cryptography, Advanced Topics in Algebra, Geometric and Algebraic Topology, and Cellular Automata and Applications.

Frequent coauthors include Arjeh M. Cohen, Richard H. Foote, Robert M. Guralnick, Philip Hanlon, and Claire Levaillant.

Michael Aschbacher has published extensively in the following venues:

Proceedings of the London Mathematical Society
Journal of Algebra
Journal of the London Mathematical Society
Transactions of the American Mathematical Society
Proceedings of symposia in pure mathematics

Recent notable papers by Michael Aschbacher include:

The finite simple groups and their classification (2021), published in Proceedings of symposia in pure mathematics
Walter's theorem for fusion systems (2020), published in Proceedings of the London Mathematical Society
Fusion systems with alternating J-components (2020), published in Journal of the London Mathematical Society
Fusion systems with 2-small components (2022), published in Transactions of the American Mathematical Society
Walter's basic theorem for fusion systems (2020), published in Journal of Algebra

The scientist has contributed to book publications, notably with the American Mathematical Society, where they published "Quaternion Fusion Packets" in 2021.

A number of awards and honors have been granted to Michael Aschbacher, among them:

Fellow of the American Mathematical Society (2013)
Steele Prize for Mathematical Exposition (2012)
Wolf Prize in Mathematics (2012) for work on the theory of finite groups
Rolf Schock Prize for Mathematics (2011)
Fellow of the American Academy of Arts and Sciences (1992)
Member of the National Academy of Sciences (1990)
Frank Nelson Cole Prize in Algebra (1980)
Fellow of Alfred P. Sloan Foundation (1973)

Best Publications

Finite group theory

Michael Aschbacher

1299
Citations
On the maximal subgroups of the finite classical groups

M. Aschbacher

944
Citations
Involutions in Chevalley groups over fields of even order

Michael Aschbacher;Gary M. Seitz

456
Citations
Fusion Systems in Algebra and Topology

Michael Aschbacher;Radha Kessar;Bob Oliver

354
Citations
Some applications of the first cohomology group

M. Aschbacher;R. Guralnick

257
Citations
Maximal subgroups of finite groups

M Aschbacher;L Scott

252
Citations
A Characterization of Chevalley Groups Over Fields of Odd Order

Michael Aschbacher

157
Citations
Chevalley groups of type G2 as the group of a trilinear form

Michael Aschbacher

140
Citations
The 27-dimensional module for E6. I.

Michael Aschbacher

128
Citations
On finite groups of component type

Michael Aschbacher

120
Citations
The Generalized Fitting Subsystem of a Fusion System

Michael Aschbacher

115
Citations
On groups with a standard component of known type. II

Michael Aschbacher;Gary M. Seitz

103
Citations
Flag structures on tits geometries

Michael Aschbacher

98
Citations
Normal subsystems of fusion systems

Michael Aschbacher

94
Citations
On Finite Groups Generated by Odd Transpositions. I.

Michael Aschbacher

86
Citations
On collineation groups of symmetric block designs

Michael Aschbacher

85
Citations
Fusion Systems in Algebra and Topology: Introduction to fusion systems

Michael Aschbacher;Radha Kessar;Bob Oliver

84
Citations
ON ABELIAN QUOTIENTS OF PRIMITIVE GROUPS

Michael Aschbacher;Robert M. Guralnick

82
Citations
Overgroups of Sylow subgroups in sporadic groups

Michael Aschbacher

75
Citations
Simple connectivity ofp-group complexes

Michael Aschbacher

72
Citations
The Classification of the Finite Simple Groups

Michael Aschbacher

20
Citations

Frequent Co-Authors

Robert M. Guralnick University of Southern California

Andrew M. Childs University of Maryland, College Park

Martin W. Liebeck Imperial College London

Daniel Gorenstein Rutgers, The State University of New Jersey

External Links

Wikipedia of Michael Aschbacher Personal website of Michael Aschbacher

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