JIM HAGLUND

Professor of Mathematics
University of Pennsylvania


CAGE (Combinatorics, Algebra, and Geometry) Seminar Webpage

Penn Online Seminar Listing for Upcoming and Past CAGE seminar talks



IPAC (Important Papers in Algebraic Combinatorics) 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     Some errata

    The official bound version of this book can be ordered from the AMS. It is part of the AMS University Lecture Series.

    Teaching

       
    Fall 2025


  • Math 3610 (Advanced Calculus)


  • Math 5800 (Combinatorial Analysis)


    Spring 2026

  • Math 5810 (Topics in Combinatorial Theory)

    Advising

  • PhD and Masters Students

  • Postdoctoral

    Upcoming Presentations and Conferences


  • International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Hokkaido Uniiversity, Sapporo, Japan, July 21-25, 2025.

    Some Past Workshops


  • KAIST Combinatorics Lab, Conference at KIAS, Seoul, South Korea, May 3, 2024.

  • Discrete Analysis Seminar, Yonsei University, Seoul, South Korea, May 2, 2024.

  • Combinatorics Conference at Tianjin Normal University, Tianjin, China, April 27, 2024.

  • AIM workshop on Algebra, Geometry, and Combinatorics of Link Homology, Pasadena, CA 7/31/23-8/4/23.

  • Workshop on Equivariant Combinatorics, CRM, Montréal, Canada, June 19-23, 2017.

  • The 29th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), London, United Kingdom, July 9-13, 2017.

  • Special Session on Polynomials in Enumerative, Algebraic, and Geometric Combinatorics, Fall Eastern Sectional Meeting, SUNY Buffalo, Buffalo, NY, September 16-17, 2017.

  • Workshop on Enumerative Combinatorics (part of the program "Algorithmic and Enumerative Combinatorics"), Erwin Schrödinger Institute (ESI), University of Vienna, Vienna, Austria, October 16-20, 2017.

  • Algebra, Combinatorics and Geometry Seminar, University of Pittsburgh, February 22, 2018.

  • Special Session on Macdonald Polynomials and Related Structures, Spring Southeastern Sectional Meeting, Vanderbilt University, Nashville, TN, April 14-15, 2018.

  • MFO Workshop on Enumerative Combinatorics, Oberwolfach, Germany, May 13-19, 2018

  • Combinatorics and Geometry Seminar, University of Washington, May 30, 2018.

  • The 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Dartmouth College, Hanover NH, USA, July 16-20, 2018.

  • BIRS Workshop on Hessenberg Varieties in Combinatorics, Geometry, and Representation Theory, Banff, CA Oct. 21-26, 2018

  • Special Session on Lattice Path Combinatorics and Applications, Joint meetings of the AMS and MAA, Baltimore, MD, Thursday, January 17, 2019

  • BIRS Workshop on Representation Theory Connections to (q,t)-Combinatorics, Banff, CA Jan. 20-25, 2019

  • MIT-Harvard-MSR Combinatorics Seminar, Friday, March 22, 2019.

  • Triangle Lectures in Combinatorics, March 30, 2019, Wake Forest University

  • KTH Combinatorics seminar, May 22, 2019

  • GarsiaFest, La Jolla, CA June 17-20, 2019

  • Workshop on Hilbert schemes, categorification and combinatorics, UC Davis, June 19-23, 2019

  • The 31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), University of Ljubljana, Ljubljana (Slovenia), July 1-5, 2019.

  • GarsiaFest, La Jolla, CA June 17-20, 2019

  • University of Virginia Algebra Seminar, Friday, October 11, 2019.

  • Workshop on Unimodality, Log-concavity and beyond, March 16-20, 2020, Institut Mittag-Leffler, Djursholm, Sweden

  • Mini-Symposium on Emerging Connections in Symmetric Functions (co-organized with Andy Wilson), 2020 Conference on Discrete Mathematics, Portland, Oregon, June 3-4, 2020.

  • The 32st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Bar-llan University, Ramat-Gan, Israel, July 13-17, 2020.

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

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

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

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

  • MFO Workshop on Enumerative Combinatorics, Oberwolfach, Germany, May 13-19, 2018

  • BIRS Workshop on Hessenberg Varieties in Combinatorics, Geometry, and Representation Theory, Banff, CA Oct. 21-26, 2018

  • BIRS Workshop on Representation Theory Connections to (q,t)-Combinatorics, Banff, CA Jan. 20-25, 2019


    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.

  • Three Faces of the Delta Conjecture , hour long presentation at the Triangle Lectures in Combinatorics, March 30, 2019, Wake Forest University

    The PhD Oral Exam in Combinatorics at Penn


    Editorial Boards

  • Journal of Combinatorics

  • 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