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M. Susan Montgomery (born 2 April 1943 in Lansing, MI) is a distinguished American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
whose current research interests concern
noncommutative algebra In mathematics, a noncommutative ring is a ring whose multiplication is not commutative; that is, there exist ''a'' and ''b'' in the ring such that ''ab'' and ''ba'' are different. Equivalently, a ''noncommutative ring'' is a ring that is not a ...
s: in particular,
Hopf algebras In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital algebra, unital associative) Associative algebra, algebra and a (counital coassociative) coalgebra, with these structures' compatibility making ...
, their structure and representations, and their actions on other algebras. Her early research was on
group action In mathematics, a group action of a group G on a set S is a group homomorphism from G to some group (under function composition) of functions from S to itself. It is said that G acts on S. Many sets of transformations form a group under ...
s on rings.


Education

Montgomery received her B.A. in 1965 from the
University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...
and her Ph.D. in Mathematics from the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
in 1969 under the supervision of
I. N. Herstein Israel Nathan Herstein (March 28, 1923 – February 9, 1988) was a mathematician, appointed as professor at the University of Chicago in 1962. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and o ...
.


Career

Upon receiving her Ph.D. from Chicago, Montgomery spent one year on the faculty at
DePaul University DePaul University is a private university, private Catholic higher education, Catholic research university in Chicago, Illinois, United States. Founded by the Congregation of the Mission, Vincentians in 1898, the university takes its name from ...
. Montgomery joined the faculty of the
University of Southern California The University of Southern California (USC, SC, or Southern Cal) is a Private university, private research university in Los Angeles, California, United States. Founded in 1880 by Robert M. Widney, it is the oldest private research university in ...
(USC) in 1970 and was promoted to the rank of Professor in 1982. She was chair of the Department of Mathematics at USC from 1996 to 1999. Montgomery has spent sabbaticals at the
Hebrew University of Jerusalem The Hebrew University of Jerusalem (HUJI; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...
, the
University of Leeds The University of Leeds is a public research university in Leeds, West Yorkshire, England. It was established in 1874 as the Yorkshire College of Science. In 1884, it merged with the Leeds School of Medicine (established 1831) and was renamed Y ...
, the
University of Wisconsin A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Uni ...
, the
University of Munich The Ludwig Maximilian University of Munich (simply University of Munich, LMU or LMU Munich; ) is a public university, public research university in Munich, Bavaria, Germany. Originally established as the University of Ingolstadt in 1472 by Duke ...
, the
University of New South Wales The University of New South Wales (UNSW) is a public research university based in Sydney, New South Wales, Australia. It was established in 1949. The university comprises seven faculties, through which it offers bachelor's, master's and docto ...
, the
Mittag-Leffler Institute The Mittag-Leffler Institute (Swedish: Institut Mittag-Leffler) is a mathematical research institute in Sweden. Located in Djursholm, a suburb of Stockholm, it invites scholars to participate in half-year programs in specialized mathematical su ...
, and the
Mathematical Sciences Research Institute The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califor ...
. Montgomery wrote about a hundred research articles and several books, of which ''Hopf algebras and their actions on rings'' is her most cited work. This book includes a discussion of Hopf-Galois theory, an area to which Montgomery has significantly contributed, and an introduction to quantum group theory.


Honors

Montgomery was awarded a Guggenheim Foundation Fellowship in 1984 and a Raubenheimer Outstanding Faculty Award by USC in 1987. She gave an
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
(AMS) Invited Address at the
Joint Mathematics Meetings The Joint Mathematics Meetings (JMM) is a mathematics conference hosted annually in early January by the American Mathematical Society (AMS). Frequently, several other national mathematics organizations also participate. From 1998 to 2020, the JMM ...
in 1984. In 1995 she gave an Invited Address at the Joint AMS-Israel Math Union Meeting in
Jerusalem Jerusalem is a city in the Southern Levant, on a plateau in the Judaean Mountains between the Mediterranean Sea, Mediterranean and the Dead Sea. It is one of the List of oldest continuously inhabited cities, oldest cities in the world, and ...
. In 2009, she gave a plenary lecture at the summer meeting of the
Canadian Mathematical Society The Canadian Mathematical Society (CMS; French: ''Société mathématique du Canada'') is an association of professional mathematicians dedicated to advancing mathematical research, outreach, scholarship and education in Canada. The Society se ...
. She has also given numerous lectures at meetings and universities around the world. Montgomery was the Principal Lecturer at the Conference Board of the Mathematical Sciences (CBMS) 1992 Conference on Hopf Algebras. Her CBMS monograph ''Hopf Algebras and their Actions on Rings''preview at books.google.com
/ref> is highly cited. She has written one other book and has edited five collections of research articles. She served as an editor for the ''
Journal of Algebra ''Journal of Algebra'' (ISSN 0021-8693) is an international mathematical research journal in algebra. An imprint of Academic Press, it is published by Elsevier Elsevier ( ) is a Dutch academic publishing company specializing in scientific, te ...
'' for over 20 years. She was also an editor for the '' AMS Proceedings'', ''AMS Mathematical Surveys and Monographs'', and ''
Advances in Mathematics ''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed ...
'', and currently is on the editorial boards of ''Algebras and Representation Theory'' and of ''
Algebra and Number Theory ''Algebra & Number Theory'' is a peer-reviewed mathematics journal published by the nonprofit organization Mathematical Sciences Publishers. It was launched on January 17, 2007, with the goal of "providing an alternative to the current range of co ...
''. Montgomery has been very active in the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
, serving on the Board of Trustees from 1986–1996. She has also served on the Council, the Policy Committee on Publications, and on the Nominating Committee. In 2013 she was elected to a 3-year term as a Vice-President of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. She was also a member of the National Research Council's Board on Mathematical Sciences and Their Applications (BMSA), serving one year on the Executive Committee. In 2012 she was selected a Fellow of the American Mathematical Society and a Fellow of the AAAS.


References


External links


M. Susan Montgomery's Web Site
* * Susan Montgomery'
Author Profile Page
on MathSciNet * {{DEFAULTSORT:Montgomery, Susan Living people 20th-century American mathematicians 21st-century American mathematicians People from Lansing, Michigan University of Chicago alumni University of Southern California faculty University of Michigan alumni Fellows of the American Association for the Advancement of Science Fellows of the American Mathematical Society 1943 births 20th-century American women mathematicians 21st-century American women mathematicians