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 in DRL 4N30), and also co-organizer (with Linda Chen of Swarthmore College and Jennifer Morse of Drexel University) of the Philadelphia CAGE (Combinatorics and Algebraic Geometry) seminar (Thursdays from 4:00-5:00pm in DRL 4N30). 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 am also interested in the zeros of polynomials and analytic functions. 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.

    Teaching

        Spring 2009

  • AMCS 602

        Fall 2008

  • Math 432

    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.



    The PhD Oral Exam in Combinatorics at Penn


    Advising

  • PhD and Masters Students

  • Postdoctoral

    Upcoming Conferences

  • AMS Special Session on Rings, Algebras and Varieties in Combinatorics at North Carolina State University, April 4-5, 2009.

  • 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) in Hagenberg, Austria, July 20-24, 2009.

  • AMS Special Session on Algebraic Combinatorics at Penn State, Oct. 24-25, 2009.

  • AMS Special Session on Enumerative Combinatorics at Florida Atlantic Univ., in Boca Raton, FL, Oct. 30-Nov. 1, 2009.

  • 1st Joint International Meeting of the AMS and Korean Math. Soc. in Seoul, Korea, Dec. 16-20, 2009. I will be speaking in the special session on Combinatorics and also at a pre-conference workshop being held at KAIST Dec. 14-15.

    Editorial Boards


  • Combinatorics Editor, Proceedings of the American Mathematical Society

  • Bulletin of Parana's 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