JIM HAGLUND


Professor of Mathematics
University of Pennsylvania

I am co-organizer (with Elizabeth Beazley of Haverford College, Linda Chen of Swarthmore College, and Jennifer Morse of Drexel University) of the Philadelphia Area Combinatorics and Algebraic Geometry (CAGE) Seminar (Tuesdays from 2:30-3:30pm in DRL 4E9 at Penn and/or Thursdays from 2:30-3:30pm in Korman Center 245 at Drexel). CAGE Spring 2014 CAGE Fall 2013 CAGE 2012-2013

On Saturday, May 3, 2014, the first annual

Mid-Atlantic Algebraic Geometry and Combinatorics (MAAGC)

workshop was held at Drexel University.

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 2014

  • Math 114

  • AMCS 601

    Spring 2015

  • Math 114

    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

    Upcoming Presentations and Conferences

  • IMA Workshop on Geometric and Enumerative Combinatorics, University of Minnesota, Minneapolis, November 10-14, 2014

  • Conference in honor of Michelle Wachs, Miami, Florida, January 6-9, 2015.

  • York University Applied Algebra Seminar, Toronto, Canada, April 6, 2015.

  • Special Session on Algebraic and Enumerative Combinatorics, AMS Sectional Meeting, Las Vegas, NV, April 18-19, 2015.

  • Special Session on Algebraic Combinatorics and Representation Theory, AMS-EMS-SPM International Meeting 2015, Porto, Portugal, June 10-13, 2015.

  • FPSAC 2015: 27th International Conference on Formal Power Series and Algebraic Combinatorics, Daejon, South Korea, July 6-10, 2015

  • National Institite for Mathematical Sciences Thematic Program on Combinatorics, KAIST, Daejon, South Korea, June 29-July 17, 2015

    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


  • Journal of Combinatorics

  • Bulletin of Parana's Mathematical Society

  • Involve



    Other


  • 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