From Wikipedia, the free encyclopedia
American mathematician
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
References
^ Griess, Jr., Robert L. (2020). "Research topics in finite groups and vertex algebras". Vertex Operator Algebras, Number Theory and Related Topics . Contemporary Mathematics. Vol. 753. Providence, Rhode Island:
American Mathematical Society . pp. 119–126.
arXiv :
1903.08805 .
Bibcode :
2019arXiv190308805G .
doi :
10.1090/CONM/753/15167 .
ISBN
9781470449384 .
S2CID
126782539 .
Zbl
1490.17034 .
^
"Griess Named Distinguished University Professor" . University of Michigan College of Literature, Science, and the Arts . University of Michigan. May 20, 2016. Retrieved 2023-01-02 .
^
Griess, Jr., Robert L. (2010-08-18).
"Interview with Prof. Robert Griess" . Interviews in English (Interview). Interviewed by Shun-Jen Cheng and company. New Taipei: Institute of Mathematics,
Academia Sinica . Retrieved 2023-01-07 .
^ Griess, Robert L. (1972).
"Schur Multipliers of the Known Finite Simple Groups" (PDF) .
Bulletin of the American Mathematical Society (Ph.D. Thesis). 78 (1): 68–71.
doi :
10.1090/S0002-9904-1972-12855-6 .
JSTOR
1996474 .
MR
2611672 .
S2CID
124700587 .
Zbl
0263.20008 .
^ Smith, Stephen D. (2018).
"A Survey: Bob Griess' work on Simple Groups and their Classification" (PDF) . Bulletin of the Institute of Mathematics . 13 (4).
Academia Sinica (New Series): 365–382.
doi :
10.21915/BIMAS.2018401 .
S2CID
128267330 .
Zbl
1482.20010 .
^ Griess, Jr., Robert L. (2021).
"My life and times with the sporadic simple groups" . Notices of the International Consortium of Chinese Mathematicians . 9 (1): 11–46.
doi :
10.4310/ICCM.2021.v9.n1.a2 .
ISSN
2326-4810 .
S2CID
239181475 .
Zbl
07432649 .
Archived (PDF) from the original on 2023-01-22. {{
cite journal }}
: CS1 maint: Zbl (
link )
^
"Proceedings of the International Congress of Mathematicians, August 16-24, 1983, Warszawa" (PDF) . International Mathematical Union . IMU. pp. 369–384. Retrieved 2023-01-02 . Lecture on "The sporadic simple groups and construction of the monster."
^ Griess, Jr., Robert L. (1982).
"The Friendly Giant" . Inventiones Mathematicae . 69 : 91.
Bibcode :
1982InMat..69....1G .
doi :
10.1007/BF01389186 .
hdl :
2027.42/46608 .
MR
0671653 .
S2CID
264223009 .
^
"Robert L. Griess (Member)" . American Academy of Arts & Sciences . AAA&S. Retrieved 2023-01-02 .
^
"List of Fellows of the American Mathematical Society" . American Mathematical Society . AMS. Retrieved 2013-01-19 .
^
"National Academy of Sciences Elects New Members" . National Academy of Sciences . NAS. April 27, 2020. Retrieved 2023-01-02 .
^
"Editorial Board" . Electronic Research Announcements . American Institute of Mathematical Sciences (AIMS).
ISSN
1935-9179 . Retrieved 2023-01-07 . Previously published by the
AMS ,
ISSN
1079-6762
^
"2010 Steele Prizes" (PDF) . Notices of the American Mathematical Society . 57 (4): 511–513. April 2010.
ISSN
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)."
^ Conder, Marston (December 2003).
"Review: Twelve Sporadic Groups , by Robert L. Griess, Jr." (PDF) .
Newsletter of the New Zealand Mathematical Society . 89 : 44–45.
ISSN
0110-0025 .
External links
International National Academics Other