Professor of Mathematics
University of Pennsylvania

CAGE (Combinatorics, Algebra, and Geometry) 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.


  • Publications and Preprints,


  • 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.


    Fall 2016

  • 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


  • PhD and Masters Students

  • Postdoctoral

    Upcoming Presentations and Conferences

  • Special Session on the Combinatorics of Symmetric Functions, AMS Sectional Meeting, University of Georgia, Athens, GA, March 5-6, 2016.

  • Conference dedicated to the scientific legacy of Marcel-Paul Schützenberger, March 21-25, 2016, Bordeaux, France.

  • ALGECOM 13, April 30, 2016, University of Notre Dame.

  • Lehigh University Math Colloquium, May 4, 2016, 4:10pm.

  • CAGE seminar and early arrival lecture for MAAGC 2016 conference, May 6, 3:30pm.

  • Workshop on Hecke Algebras and Lie Theory, University of Ottawa, May 12-15, 2016.

  • Summer School in Algebraic Combinatorics, KIAS, Seoul, Korea, June 13-14, 2016.
    (Lectures by N. Bergeron, S. Fomin, I. Gessel, and J. Haglund).

  • Workshop on Positivity in Algebraic Combinatorics, KIAS, Seoul, Korea, June 15-17, 2016.

  • The 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Vancouver, Canada, July 4-8, 2016.

  • Seminar talk, USC, August 24, 2016.

  • Seminar talk, University of Miami, November 21, 2016.

  • 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

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

    Editorial Boards

  • Transactions of the AMS (starting September, 2016)

  • Journal of Combinatorics

  • Bulletin of Parana's Mathematical Society

  • Involve


  • Member of the AMS and MAA

  • Fellow of the AMS

    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