USC.edu

Robert Guralnick

Professor of Mathematics
Pronouns He / Him / His Email guralnic@usc.edu Office KAP 464C Office Phone (213) 740-3787

Research & Practice Areas

Finite and Algebraic Groups, Representation Theory, Arithmetic Algebraic Geometry

Education

  • Ph.D. Mathematics, University of California, Los Angeles, 1/1977
  • B.A. Mathematics, University of California, Los Angeles, 1/1972
  • M.A. , University of California – Los Angeles

  • Tenure Track Appointments

    • Department Chairman, University of Southern California, 01/01/1990 – 01/01/1996
    • Professor, University of Southern California, 01/01/1988 –
    • Associate Professor, University of Southern California, 01/01/1983 – 01/01/1988
    • Assistant Professor, University of Southern California, 01/01/1979 – 01/01/1983

    PostDoctoral Appointments

    • Bateman Research Instructor, California Institute of Technology, 09/01/1977 – 08/31/1979

    Visiting and Temporary Appointments

    • Visiting Fellow, Princeton Univeristy, 2012-2013
    • Member, Newton Institute, Cambridge University, 06/08/2011-07/07/2011
    • Visiting Member, Institute for Advanced Study , 05/2010-06/2010
    • Member, Newton Institute, Cambridge University,
    • Member, Mathematical Sciences Research Institute,
    • Member, Institute for Advanced Study, Princeton, 09/01/2005-06/30/2006
    • Visiting Member, Institute for Advanced Studies, Hebrew University, 05/15/2000-07/10/2000
    • Research Professor, Mathematical Sciences Research Institute, 08/15/1999-05/15/2000
    • Visiting Member, Newton Institute, Cambridge University, 03/15/1997-07/15/1997
    • Visiting Professor, Rutgers University, 09/01/1989-12/31/1989
    • Visiting Professor, Institue for Experimental Mathematics, Essen, 05/01/1990-07/31/1990
    • Visiting Associate Professor, Yale University, 09/01/1985-12/31/1985
    • Visiting Associate Professor, California Institute of Technology, 01/01/1986-03/31/1986

  • Summary Statement of Research Interests

    Professor Guralnick’s research interests lie in algebra, particularly finite and algebraic groups and their linear and permutation representations. He applies group theory to study problems in arithmetic algebraic geometry, coverings of curves and Galois theory.

    Research Keywords

    finite groups, algebraic groups, linear and permutation representations, matrix theory, coverings of curves, Galois theory.

    • Plenary Speaker, AMS-VMS Joint Meeting, 2019/06
    • Clay Plenary Lecture, Oxford GGR conference, 2018/09
    • American Association for the Advancement of Science Fellow, , 2017
    • PIMS Distinguished Lecturer, UBC, March 2014, 2014
    • Plenary Speaker, British Mathematical Colloquium, 2014
    • Speaker, ICM, Seoul 2014, 2014
    • Plenary Speaker, AMS Annual Meeting 2013, 2013
    • Fellow, American Mathematical Society, 2012
    • Frank Nelson Cole Prize in Algebra, 2018
    • Simons Foundation Fellow, 2012-2013
    • G.C. Steward Fellow, Caius College, University of Cambridge, Fall 2008
    • USC Raubenheimer Outstanding Senior Faculty Award, , 1999

  • Other Service to the University

    • Group Theory Gatekeeper, Math Arxiv, 09/2005 – 05/2020
    • AMS Council, 02/01/2005 – 01/31/2013
    • Executive Committee, AMS Council
      AMS Council
      , 02/2005 – 02/2009

  • Editorships and Editorial Boards

    • Associate Editor, Annals of Mathematics, 2013 – 2016
    • Senior Editor, Linear Algebra and its Applications, 1985 – 2016
    • Editorial Board Member, Journal of Group Theory, 2002 – 2014
    • Managing Editor, Memoirs, AMS, 2004 – 2013
    • Managing Editor, Transactions, AMS, 2004 – 2013
    • Editorial Member Board, Electronic Journal of Linear Algebra, 2002 – 2012
    • Member Editorial Board, Quaetiones Mathematicae, 2003 – 2010
    • Editorial Board Member, Linear and Multilinear Algebra, 06/1993 – 12/2008
    • Editorial Board Member, Pacific Journal of Mathematics, 1995 – 2001
    • Editorial Board Member, Communications in Algebra, 1993 – 1999

    Professional Memberships

    • International Linear Algebra Society, 01/01/1998 –
    • American Association for Advancement of Science, 2003 – 2020
    • American Mathematical Society, 1977 – 2020