Michael Aschbacher

5.5k total citations
131 papers, 3.2k citations indexed

About

Michael Aschbacher is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, Michael Aschbacher has authored 131 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 100 papers in Discrete Mathematics and Combinatorics, 52 papers in Geometry and Topology and 47 papers in Artificial Intelligence. Recurrent topics in Michael Aschbacher's work include Finite Group Theory Research (98 papers), Coding theory and cryptography (47 papers) and graph theory and CDMA systems (40 papers). Michael Aschbacher is often cited by papers focused on Finite Group Theory Research (98 papers), Coding theory and cryptography (47 papers) and graph theory and CDMA systems (40 papers). Michael Aschbacher collaborates with scholars based in United States, Israel and United Kingdom. Michael Aschbacher's co-authors include Gary M. Seitz, Robert M. Guralnick, Leonard L. Scott, Bob Oliver, Radha Kessar, Stephen D. Smith, Yoav Segev, Marshall Hall, Ronald Solomon and Andrew M. Childs and has published in prestigious journals such as Annals of Mathematics, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and Transactions of the American Mathematical Society.

In The Last Decade

Michael Aschbacher

124 papers receiving 2.8k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Aschbacher United States	27	2.7k	1.6k	1.4k	1.2k	935	131	3.2k
Daniel Gorenstein United States	28	2.9k 1.1×	1.8k 1.2×	1.2k 0.9×	1.6k 1.3×	695 0.7×	75	3.4k
Walter Feit United States	22	1.6k 0.6×	857 0.5×	741 0.5×	794 0.7×	456 0.5×	78	2.1k
Bertram Huppert Germany	21	5.0k 1.8×	3.3k 2.1×	1.7k 1.2×	2.8k 2.3×	775 0.8×	41	5.7k
Gary M. Seitz United States	31	2.6k 1.0×	1.3k 0.9×	1.3k 1.0×	845 0.7×	1.2k 1.2×	80	2.9k
Francis Buekenhout Belgium	18	1.2k 0.4×	673 0.4×	474 0.4×	728 0.6×	243 0.3×	80	1.6k
Richard Brauer United States	25	1.5k 0.6×	648 0.4×	769 0.6×	761 0.6×	376 0.4×	63	2.1k
Peter F. Dembowski Germany	14	1.4k 0.5×	1.1k 0.7×	561 0.4×	1.4k 1.2×	144 0.2×	41	2.4k
B. A. F. Wehrfritz United Kingdom	14	1.4k 0.5×	432 0.3×	976 0.7×	360 0.3×	592 0.6×	186	2.0k
Graham Higman Slovakia	21	1.2k 0.4×	741 0.5×	985 0.7×	548 0.5×	457 0.5×	38	2.4k
William M. Kantor United States	35	3.0k 1.1×	2.5k 1.6×	935 0.7×	2.2k 1.8×	513 0.5×	139	3.9k

Countries citing papers authored by Michael Aschbacher

Since Specialization

Citations

This map shows the geographic impact of Michael Aschbacher's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Aschbacher with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Aschbacher more than expected).

Fields of papers citing papers by Michael Aschbacher

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Aschbacher. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Aschbacher. The network helps show where Michael Aschbacher may publish in the future.

Co-authorship network of co-authors of Michael Aschbacher

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Aschbacher. A scholar is included among the top collaborators of Michael Aschbacher based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Aschbacher. Michael Aschbacher is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Aschbacher, Michael. (2022). Fusion systems with 2-small components. Transactions of the American Mathematical Society. 376(9). 6063–6121.

Aschbacher, Michael. (2013). Overgroup lattices in finite groups of Lie type containing a parabolic. Journal of Algebra. 382. 71–99. 3 indexed citations

Aschbacher, Michael, Richard K. Lyons, Stephen M. Smith, & Ronald Solomon. (2011). The Classification of Finite Simple Groups. Mathematical surveys and monographs. 24 indexed citations

Aschbacher, Michael & John Shareshian. (2009). Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Journal of Algebra. 322(7). 2449–2463. 3 indexed citations

Aschbacher, Michael. (2006). Isotopy and geotopy for ternary rings of projective planes. Journal of Algebra. 319(2). 868–892. 1 indexed citations

Aschbacher, Michael. (2006). Standard components of alternating type centralized by a 4-group. Journal of Algebra. 319(2). 595–615. 3 indexed citations

Aschbacher, Michael. (2005). Highly complex proofs and implications of such proofs. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 363(1835). 2401–2406. 10 indexed citations

Aschbacher, Michael & Stephen D. Smith. (2004). The Classification of Quasithin Groups. Mathematical surveys and monographs. 6 indexed citations

Aschbacher, Michael. (2004). The Status of the Classification of the Finite Simple Groups. CaltechAUTHORS (California Institute of Technology). 15 indexed citations

10.

Aschbacher, Michael. (2003). A 2-local characterization of the Higman–Sims group. Journal of Algebra. 260(1). 16–31. 1 indexed citations

11.

Aschbacher, Michael & Yoav Segev. (1992). The Uniqueness of Groups of Lyons Type. Journal of the American Mathematical Society. 5(1). 75–75. 1 indexed citations

12.

Aschbacher, Michael & Yoav Segev. (1992). The uniqueness of groups of Lyons type. Journal of the American Mathematical Society. 5(1). 75–98. 6 indexed citations

13.

Aschbacher, Michael & Robert M. Guralnick. (1989). On Abelian Quotients of Primitive Groups. Proceedings of the American Mathematical Society. 107(1). 89–89. 6 indexed citations

14.

Aschbacher, Michael. (1982). A characterization of some finite groups of characteristic 3. Journal of Algebra. 76(2). 400–441. 3 indexed citations

15.

Aschbacher, Michael & Gary M. Seitz. (1981). On groups with a standard component of known type. II. Osaka Journal of Mathematics. 18(3). 703–723. 35 indexed citations

16.

Aschbacher, Michael. (1976). A Homomorphism Theorem for Finite Graphs. Proceedings of the American Mathematical Society. 54(1). 468–468. 3 indexed citations

17.

Aschbacher, Michael. (1976). A homomorphism theorem for finite graphs. Proceedings of the American Mathematical Society. 54(1). 468–470. 16 indexed citations

18.

Aschbacher, Michael. (1976). Tightly embedded subgroups of finite groups. Journal of Algebra. 42(1). 85–101. 19 indexed citations

19.

Aschbacher, Michael. (1973). A condition for the existence of a strongly embedded subgroup. Proceedings of the American Mathematical Society. 38(3). 509–511. 19 indexed citations

20.

Aschbacher, Michael. (1973). A Condition for the Existence of a Strongly Embedded Subgroup. Proceedings of the American Mathematical Society. 38(3). 509–509. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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