JIM HAGLUND

I am a Professor of Mathematics here at Penn. I am co-organizer (with Elizabeth Beazley of Haverford College, Linda Chen of Swarthmore College, Jennifer Morse of Drexel University, and Mark Skandera of Lehigh University) of the Philadelphia CAGE (Combinatorics and Algebraic Geometry) seminar (Certain Tuesdays and Thursdays afternoons from 2 to 3pm in DRL 4C2).
Last years CAGE seminar
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 2012

  • AMCS 601

        Spring 2013

  • Math 432 (Game Theory)

  • AMCS 602
       

    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



  • MAA Invited paper Session on Where Have All the Zeros Gone?, joint meetings of the AMS and MAA, San Diego, Jan 9-12, 2013

  • AMS Special Session on Combinatorial Avenues in Representation Theory, Univ. of Colorado, Boulder, CO, April 13-14, 2013

  • I will be giving two talks on Macdonald Polynomials and also a number theory seminar at the Korea Institute for Advanced Study (KIAS) in Seoul, Korea, during the week of May 13-17, 2013

  • FPSAC 2013, Paris, France, June 24-28, 2013

  • MFO Workshop on Enumerative Combinatorics, Oberwolfach, Germany, March 2-8, 2014


    Editorial Boards


  • Proceedings of the American Mathematical Society

  • Journal of Combinatorics

  • Bulletin of Parana's Mathematical Society

  • Involve



    Other


  • Member of the AMS and MAA

  • Fellow of the AMS

    Department of Mathematics ADDRESS>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