JIM HAGLUND

I am an Associate Professor here in the Math Department at Penn. I am co-organizer (with Robin Pemantle) of the Combinatorics and Probability seminar (Tuesdays from 4-5pm), and also co-organizer (with Angela Gibney) of the new Combinatorial Algebraic Geometry seminar (Thursdays from 2-3pm). My research interests are in algebraic and enumerative combinatorics. In particular, I work on problems involving symmetric functions and Macdonald polynomials, combinatorial statistics and q-analogs, rook polynomials, and polynomials arising from combinatorics having only real zeros. I like experimental mathematics, and often use computer algebra packages such as Maple in my research, to develop and test conjectures.

Research

  • Publications and Preprints,

    Books

  • The q,t-Catalan Numbers and the Space of Diagonal Harmonics in pdf format or ps format

    The official bound version of this book can now be ordered from the AMS. It is part of the AMS University Lecture Series.

    Transparencies from Selected Presentations

  • The (q,t)-Catalan Numbers and the Space of Diagonal Harmonics, hour long Invited Address, AMS Sectional, Orlando Fl. Nov. 9, 2002.

  • A Combinatorial Model for the Macdonald Polynomials (in pdf format), or postscript format, Hour long presentation at the Workshop on Resolutions, Inverse Systems, and Coinvariants, University of Ottawa, Jan. 13, 2005.

  • Recent Combinatorial Results involving Macdonald Polynomials and Diagonal Harmonics (in postscript format), or pdf format, Plenary Address at the 18th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC '06), San Diego, CA, June 22, 2006.

    Teaching

        Fall 2007

  • Math 340

  • Math 580

        Fall 2006

  • Math 432

    The PhD Oral Exam in Combinatorics at Penn


    Advising

  • PhD and Masters Students

  • Postdoctoral

    Upcoming Conferences


  • BIRS Workshop on Applications of Macdonald Polynomials Sept. 10-14, 2007. Banff, Canada.

  • Formal Power Series and Algebraic Combinatorics (FPSAC) 2008 at Universidad de Talca, Valparaiso Vina del Mar, Chile, June 23-27, 2008.

    Editorial Boards


  • Combinatorics Editor, Proceedings of the American Mathematical Society

    Department of Mathematics
    University of Pennsylvania
    209 South 33rd St.
    David Rittenhouse Laboratory
    Philadelphia, PA 19104-6395
    Phone: 215-573-9093
    Fax: 215-573-4063
    email: jhaglundATmath.upenn.edu