Education
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 B.A. Mathematics, University of Michigan, 5/1965
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S.M. Mathematics, University of Chicago, 6/1966
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Ph.D. Mathematics, University of Chicago, 8/1969
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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, 9/1/1982-
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Associate Professor, University of Southern California, 9/1/1975-9/1/1982
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Assistant Professor, University of Southern California, 9/1/1970-9/1/1975
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Non-Tenure Track Appointments
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Assistant Professor, DePaul University, 9/1/1969-7/1/1970
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Visiting and Temporary Appointments
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Member, Mittag-Leffler Institute, Stockholm, Sweden, 3/1/2004-4/30/2004
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Co-Organizer and Member, Math Sciences Research Institute, Berkeley, 8/15/1999-6/15/2000
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Gastprofessor, Mathematisches Institut, University of Munich, Germany, 1/1/1996-6/1/1996
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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.
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Funded Research
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Contracts and Grants Awarded
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Semisimple Hopf algebras: their representations and actions (National Science Foundation), M Susan Montgomery, $211,336, 7/1/2007-6/30/2010
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Hopf Algebras and their Action On Rings (National Science Foundation), M Susan Montgomery, $105,000, 9/1/2004-8/31/2007
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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), $72,000, 6/1/2007-5/31/2010
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Conferences and Other Presentations
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Conference Presentations
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"Frobenius-Schur indicators for subgroups and Drinfel'd doubles of Weyl groups", International Algebra Meeting, Talk, Beijing, China, Invited, 7/6/2007-7/11/2007
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Other Presentations
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"Representations of some semisimple Hopf algebras constructed from finite groups", Algebra Seminar, Fudan University, Shanghai, China, 7/13/2007
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"Forbenius-Schur indicators for Drinfel'd doubles of Weyl groups", Oberseminar in Algebra, University of Munich, Munich, Germany, 5/3/2007
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Publications
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Book
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Susan Montgomery and H.-J. Schneider (Ed.).
(2002).
New Directions in Hopf Algebras. (Vol. MSRI Publications 43, Cambridge: Cambridge University Press.
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Book Chapter
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Montgomery, S.
(2001).
Representation theory of finite-dimensional semisimple Hopf algebras, in Algebras - Representation Theory (Constanta, 2000). (Vol. 38). pp. 189-218. Dordrecht: NATO Sci. Ser. II Math. Phys. Chem/Kluwer.
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Journal Article
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Linchenko, V., Montgomery, S.
(2007).
Semiprime smash products and H-stable radicals for PI-algebras. Proceedings of the AMerican Mathematical Society/American Mathematical Society.
Vol. 135, pp. 3091-3098.
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Jedwab, A., Montgomery, S.
(2007).
Representations of some Hopf algebras associated to the symmetric group Sn. /Algebras and Representation Theory/Springer.
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Guralnick, R., Montgomery, S.
(2007).
Frobenius-Schur indicators for subgroups and Drinfel'd doubles of the Weyl groups. Transactions of the American Mathematical Society/AMerican Mathematical Society.
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Landers, R., Montgomery, S., Schauenburg, P.
(2006).
Hopf powers and orders for some bismash products. Journal of Pure and Applied Algebra/Elsevier.
Vol. 205, pp. 156-188.
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Montgomery, S., Schneider, H. J.
(2005).
Krull relations in Hopf Galois extensions: lifting and twisting. Journal of Algebra/Elsevier.
Vol. 288, pp. 364-383.
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Linchenko, V., Montgomery, S., Small, L. W.
(2005).
Stable Jacobson Radicals and Semiprime Smash Products. London Mathematics Society Bulletin/London Math Society.
Vol. 37, pp. 860-872.
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Kashina, Y., Mason, G., Montgomery, S.
(2002).
Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras. Journal of Algebra/Academic Press.
Vol. 251, pp. 888-913.
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Bahturin, Y., Fischman, D., Montgomery, S.
(2001).
Bicharacters, twistings, and Scheunert's theorem for Hopf algebras. Journal of Algebra/Elsevier.
Vol. 236, pp. 246-276.
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Montgomery, S., Schneider, H. J.
(1999).
Prime ideals in Hopf Galois extensions. Israel Journal of Mathematics/The Magnes Press.
Vol. 112, pp. 187-235.
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Proceedings
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Montgomery, S.
(2005).
Primitive ideals in Hopf Galois extensions, in Algebraic Structures and their Representations, XV Colloquio Latinamericano, Cocoyoc, Mexico.
In Jose de la Pena, E. Vallejo, and N. Atakishiyev, Editors (Ed.), pp. 333-344. Providence, RI. AMS Contemporary Math/American Mathematical Society.
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Montgomery, S.
(2005).
Algebra properties invariant under twisting, in Hopf Algebras in Non-commutative Geometry and Physics.
In S. Caenepeel and F. Van Oystaeyen (Ed.), pp. 61-75. New York. Lecture Notes in Pure and Applied Math/Marcel Dekker.
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Honors and Awards
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USC Raubenheimer Outstanding Senior Faculty Award, 1987
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Guggenheim Fellowship, 1984-1985
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Service to the University
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Administrative Appointments
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Chair, Department of Mathematics, 8/1/1996-8/31/1999
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Committees
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Member, Executive Board, Academic Senate, 2006-2007
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Member, Crisis Team (Adminitrative group which
works on Emergency Preparation at USC), 2005-2007
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Member, USC Acadmic Senate, 2002-2007
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Member, Provost's Committee on Women in Science and Engineering (WiSE), 2001-2007
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Review Panels
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National Security Agency, Grants Panel, 2004-2006
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Loyola University of Chicago, Mathematics Department Review Committee,
Spring
2006
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Service to the Profession
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Committees
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Member, AMS Nominating Committee (elected)
I served as acting chair in 2007, 2005-2008
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Conferences Organized
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Co-organizer , AMS Special Session on Hopf Algebras and Quantum Groups, Depaul University, Chicago, IL, 2006-2007
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Co-organizer , Joint Meeting of the AMS with the Deutsche Mathematische Vereinigung (DMV) and the Ostereiche Mathematische Gesellshaft: AMS Special Session on Hopf A, Mainz, Germany, 2004-2005
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Co-organizer , Canadian Math Society Meeting: Special Session on Hopf Algebras and Related Topics, Halifax, Nova Scotia, June 2004. , 2003-2004
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Editorships and Editorial Boards
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Editorial Board Member, Algebras and Representation Theory, 1998-2007
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Editorial Board Member, Journal of Algebra, 1987-2007
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Editorial Board Member, Advances in Math, 1995-2002
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Coordinating Editor for Algebra and Number Theory, Proceedings of the American Math Society, 1992-1996
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Editorial Board Member, AMS Math Surveys and Monographs, 1983-1990
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Professional Memberships
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London Mathematical Society, 1981-2008
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Association for Women in Mathematics, 1975-2008
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Americal Mathematical Society, 1968-2008
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Review Panels
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National Security Agency, Grants Panel, 2004-2006
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Loyola University of Chicago, Mathematics Department Review Committee,
Spring
2006
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Media, Alumni, and Community Relations
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Docent at the Doheny Mansion, Mt St. Mary's College, 2003-2007
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