Robert Griess Explained

Robert Griess
Birth Date:October 10, 1945
Birth Place:Savannah, GA, U.S.
Nationality:American
Field:Mathematics
Work Institution:University of Michigan
Alma Mater:University of Chicago (B.S., 1967; M.S., 1968; Ph.D., 1971)
Doctoral Advisor:John Griggs Thompson
Thesis Title:Schur Multipliers of the Known Finite Simple Groups
Thesis Year:1972
Thesis Url:https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-78/issue-1/Schur-multipliers-of-the-known-finite-simple-groups/bams/1183533401.full
Awards:Leroy P. Steele Prize (2010)
Known For:Classification of sporadic groups (Happy Family and pariahs)
Construction of the Fischer–Griess Monster group
Gilman–Griess theorem
Griess algebra

Robert Louis Griess, Jr. (born 1945, Savannah, Georgia) is a mathematician working on finite simple groups and vertex algebras.[1] He is currently the John Griggs Thompson Distinguished University Professor of mathematics at University of Michigan.[2]

Education

Griess developed a keen interest in mathematics prior to entering undergraduate studies at the University of Chicago in the fall of 1963.[3] There, he eventually earned a Ph.D. in 1971 after defending a dissertation on the Schur multipliers of the then-known finite simple groups.[4]

Career

Griess' work has focused on group extensions, cohomology and Schur multipliers, as well as on vertex operator algebras and the classification of finite simple groups.[5] [6] In 1982, he published the first construction of the monster group using the Griess algebra, and in 1983 he was an invited speaker at the International Congress of Mathematicians in Warsaw to give a lecture on the sporadic groups and his construction of the monster group.[7] In the same landmark 1982 paper where he published his construction, Griess detailed an organization of the twenty-six sporadic groups into two general families of groups: the Happy Family and the pariahs.[8]

He became a member of the American Academy of Arts and Sciences in 2007, and a fellow of the American Mathematical Society in 2012.[9] [10] In 2020 he became a member of the National Academy of Sciences.[11] Since 2006, Robert Griess has been an editor for Electronic Research Announcements of the AIMS (ERA-AIMS), a peer-review journal.[12]

In 2010, he was awarded the AMS Leroy P. Steele Prize for Seminal Contribution to Research for his construction of the monster group, which he named the Friendly Giant.[13]

Selected publications

Books

Journal articles

External links

Notes and References

  1. Book: Griess, Jr., Robert L.. Research topics in finite groups and vertex algebras . Vertex Operator Algebras, Number Theory and Related Topics . Contemporary Mathematics . . Providence, Rhode Island . 2020 . 753 . 119–126 . 10.1090/CONM/753/15167 . 2019arXiv190308805G . 1903.08805 . 9781470449384 . 126782539 . 1490.17034 .
  2. Web site: Griess Named Distinguished University Professor . University of Michigan College of Literature, Science, and the Arts . University of Michigan . May 20, 2016 . 2023-01-02 .
  3. Griess, Jr. . Robert L. . Robert L. Griess, Jr. . Shun-Jen Cheng and company . Interview with Prof. Robert Griess . Interviews in English . 2010-08-18 . . New Taipei . 2023-01-07 .
  4. Griess . Robert L. . Schur Multipliers of the Known Finite Simple Groups . Ph.D. Thesis . . 78 . 1 . 1972 . 68–71 . 10.1090/S0002-9904-1972-12855-6 . free . 1996474 . 2611672 . 124700587 . 0263.20008 .
  5. A Survey: Bob Griess' work on Simple Groups and their Classification . Smith . Stephen D. . Bulletin of the Institute of Mathematics . Academia Sinica (New Series). 13 . 4 . 2018 . 365–382 . 10.21915/BIMAS.2018401 . free . 128267330 . 1482.20010 .
  6. Griess, Jr. . Robert L. . My life and times with the sporadic simple groups . Notices of the International Consortium of Chinese Mathematicians . 9 . 1 . 2021 . 11–46 . https://web.archive.org/web/20230122215947/https://www.intlpress.com/site/pub/files/_fulltext/journals/iccm/2021/0009/0001/ICCM-2021-0009-0001-a002.pdf . 2023-01-22 . live . 10.4310/ICCM.2021.v9.n1.a2 . free . 239181475 . 07432649 . 2326-4810 .
  7. Web site: Proceedings of the International Congress of Mathematicians, August 16-24, 1983, Warszawa . International Mathematical Union . IMU . 369–384 . 2023-01-02 . Lecture on "The sporadic simple groups and construction of the monster."
  8. Griess, Jr. . Robert L. . The Friendly Giant . Inventiones Mathematicae . 69 . 1982 . 91 . 10.1007/BF01389186 . 1982InMat..69....1G . 2027.42/46608 . free . 671653 . 264223009 .
  9. Web site: Robert L. Griess (Member) . American Academy of Arts & Sciences . AAA&S . 2023-01-02 .
  10. Web site: List of Fellows of the American Mathematical Society . American Mathematical Society . AMS . 2013-01-19 .
  11. Web site: National Academy of Sciences Elects New Members . National Academy of Sciences . NAS . April 27, 2020 . 2023-01-02 .
  12. Web site: Editorial Board . Electronic Research Announcements . American Institute of Mathematical Sciences (AIMS) . 1935-9179 . 2023-01-07 . Previously published by the AMS,
  13. 2010 Steele Prizes . Notices of the American Mathematical Society . April 2010 . 57 . 4 . 511–513 . 0002-9920 .

    "To Robert L. Griess Jr. for his construction of the 'Monster' sporadic finite simple group, which he first announced in 'A construction of F1 as automorphisms of a 196,883-dimensional algebra' (Proc. Nat. Acad. Sci. U.S.A. 78 (1981), no. 2, part 1, 686-691) with details published in 'The friendly giant' (Invent. Math. 69 (1982), no. 1, 1-102)."

  14. Conder . Marston . Review: Twelve Sporadic Groups, by Robert L. Griess, Jr.. . . 89 . December 2003 . 44–45 . 0110-0025 .

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