University of Southern California
USC Dana and David Dornsife College of Letters, Arts and Sciences
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About
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Susan MontgomeryProfessor of MathematicsContact Information E-mail: smontgom@usc.edu Phone: (213) 740-2419 Office: KAP 104 LINKS Curriculum Vitae Personal Website |
Education |
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 Ph.D. Mathematics, University of Chicago, 8/1969
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S.M. Mathematics, University of Chicago, 6/1966
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B.A. Mathematics, University of Michigan, 5/1965
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Academic Appointment, Affiliation, and Employment History |
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Tenure Track Appointments |
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Professor, University of Southern California, 09/01/1982-
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Associate Professor, University of Southern California, 09/01/1975-09/01/1982
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Assistant Professor, University of Southern California, 09/01/1970-09/01/1975
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Visiting and Temporary Appointments |
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Member, Mittag-Leffler Institute, Stockholm, Sweden, 03/01/2004-04/30/2004
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Co-Organizer and Member, Math Sciences Research Institute, Berkeley, 08/15/1999-06/15/2000
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Gastprofessor, Mathematisches Institut, University of Munich, Germany, 01/01/1996-06/01/1996
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Description of Research |
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Summary Statement of Research Interests |
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| Professor Montgomery studies non-commutative algebras: Hopf algebras and their actions on rings, including automorphism groups of algebras, and quantum groups. | |
Funded Research |
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Contracts and Grants Awarded |
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Representations and actions of finite-dimensional Hopf algebras (National Science Foundation), Susan Montgomery, $159,612, 06/01/2010-05/31/2013
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Semisimple Hopf algebras: their representations and actions (National Science Foundation), M Susan Montgomery, $211,336, 07/01/2007-06/30/2010
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Other Funded Research |
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National Science Foundation, Intercampus Workshop Program: Lie groups, Lie algebras, and their representations (PI: Geoffrey Mason at UC Santa Cruz; co-PIs Joseph Wolf at UC Berkeley, Milan Yakimov at UC Santa Barbara, and myself) , $50,000, 09/15/2011-08/31/2013
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National Science Foundation, Intercampus Workshop Program: Lie groups, Lie algebras, and their representations (PI: Geoffrey Mason at UC Santa Cruz; co-PIs Joseph Wolf at UC Berkeley, Milan Yakimov at UC Santa Barbara, and myself), $72,000, 06/01/2007-05/31/2011
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Conferences and Other Presentations |
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Conference Presentations |
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"Modular representations of bismash products", Noncommutative Invariant Theory, Talk/Oral Presentation, University of Washington, Seattle, University of Washington and the NSF, Invited, 05/26/2012-05/27/2012
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"Brauer characters and Frobenius-Schur indicators for bismash products. ", AMS Special Session on Tensor Categories and Representation Theory, Talk/Oral Presentation, Abstract, Boston, MA, American Math Society, Invited, 01/04/2012-01/07/2012
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"Recent results on Frobenius-Schur indicators for Hopf algebras", Hopf Algebras and Tensor Categories, Keynote Lecture, Abstract, Almeria, Spain, Ministerio de Ciencia e Innovacion, Spain, Invited, 07/04/2011-07/08/2011
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"Orthogonal representations: from groups to Hopf algebras", Noether Lecture: AMS annual meeting, Keynote Lecture, Abstract, New Orleans, Association for Women in Mathematics, Invited, 01/06/2011-01/09/2011
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"Frobenius-Schur indicators of representations of Hopf algebras and the trace of the antipode", Conference in Hopf Algebras and Noncommutative Algebra, Keynote Lecture, Abstract, Ben Gurion University, Israel, Israel Science Foundation, Invited, 05/24/2010-05/28/2010
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"Orthogonal Representations of Hopf algebras", Canadian Math Society National Meeting, Keynote Lecture, St Johns, Newfoundland, Canada, Canadian Math Society, Invited, 06/03/2009-06/07/2009
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Other Presentations |
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"Modular representations of some Hopf algebras constructed from groups", Algebra Seminar, UC San Diego, La Jolla, CA, 05/14/2012
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"Orthogonal Representations of Hopf Algebras", Women in Science Distinguished Lecturer/Mathematics Department Colloquium, Iowa State University, Ames, Iowa, 09/02/2008-09/03/2008
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Publications |
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Journal Article |
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Kashina, Y., Montgomery, S., Ng, S.
(2012).
On the trace of the antipode and higher indicators. Israel Journal of Mathematics.
Vol. 188, pp. 57-90.
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Jedwab, A., Montgomery, S.
(2011).
A q-Identity Related to a Comodule. Communications in Algebra.
Vol. 39, pp. 4669-4678.
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Guralnick, R., Montgomery, S.
(2009).
Frobenius-Schur indicators for subgroups and Drinfel'd doubles of the Weyl groups. Transactions of the American Mathematical Society/American Mathematical Society.
Vol. 361 (7), pp. 3611-3632.
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Bahturin, Y., Kotchetov, M., Montgomery, S.
(2009).
Group gradings on simple Lie algebras in positive characteristic. Proceedings of the American Mathematical Society.
Vol. 137 (4), pp. 1245-1254.
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Montgomery, S., Jedwab, A.
(2009).
Representations of some Hopf algebras associated to the symmetric group Sn. Algebras and Representation Theory.
Vol. 12, pp. 1-17.
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Proceedings |
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Montgomery, S.
(2009).
Hopf Galois theory: a survey, in New Topological Contexts for Galois Theory and Algebraic Geometry.
In A. Baker and B. Richter (Ed.), pp. 367-400. Coventry. Geometry and Topology Monographs.
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Honors and Awards |
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32nd Emmy Noether Lecturer, 1/7/2011
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USC Raubenheimer Outstanding Senior Faculty Award, 1987
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Guggenheim Fellowship Recipient, 1984-1985
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