JIM HAGLUND

I am a Professor of Mathematics here 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 Elizabeth Beazley of Haverford College, Linda Chen of Swarthmore College, and Jennifer Morse of Drexel University) of the Philadelphia CAGE (Combinatorics and Algebraic Geometry) seminar (Certain Tuesdays and Thursdays afternoons from ??? in ???). 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 be ordered from the AMS. It is part of the AMS University Lecture Series.

    Teaching

        Fall 2011

  • Math 114

  • AMCS 601

        Spring 2012

  • Math 432 (Game Theory)

       

    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 Monotone Column Permanent Conjecture and Multivariate Eulerian Polynomials , hour long presentation at the 26th Clemson mini-Conference on Discrete Mathematics and Algorithms, Clemson University, Oct. 28, 2011.



    The PhD Oral Exam in Combinatorics at Penn


    Advising

  • PhD and Masters Students

  • Postdoctoral

    Some Past Workshops

  • BIRS Workshop on Applications of Macdonald Polynomials, September 9-14, 2007

  • Oberwolfach Workshop on Combinatorial Representation Theory, March 22-27, 2010

  • BIRS Workshop on Quasisymmetric Functions, November 14-19, 2010

    Upcoming Presentations and Conferences



  • FPSAC 2011, Reykjavik, Iceland, June 13-17, 2011

  • 26th Clemson mini-conference on Discrete Mathematics and Algorithms, October 27-28, 2011

  • Workshop on Stability, hyperbolicity, and zero locaization of functions, AIM, Palo Alto, CA, December 5-9, 2011

  • Special Session on Enumerative and Algebraic Combinatorics, joint meetings of the AMS and MAA, Boston, Jan. 5-6, 2012

  • Special Session on Interaction between Algebraic Combinatorics and Representation Theory, AMS Sectional Meeting, U South FLorida, March 10-11, 2012

  • Special Session on Combinatorics: Algebraic and Geometric, AMS Sectional Meeting, U South FLorida, March 10-11, 2012

  • Special Session on Enumerative and Geometric Combinatorics, AMS Sectional Meeting, Univ. of Kansas, March 30-April 1, 2012

  • Minisymposium on Algebraic Combinatorics, 2012 SIAM Conference on Discrete Mathematics, June 18-21, Halifax, Nova Scotia.



    Editorial Boards


  • Proceedings of the American Mathematical Society

  • Journal of Combinatorics

  • Bulletin of Parana's Mathematical Society

  • Involve
    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