## JIM HAGLUND

Professor of Mathematics

University of Pennsylvania

**
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CAGE (Combinatorics, Algebra, and Geometry) Seminar Webpage

Penn Online Seminar Listing for Upcoming and Past CAGE seminar talks

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IPAC (Important Papers in Algebraic Combinatorics) Seminar
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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**

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**The q,t-Catalan Numbers and the Space of Diagonal Harmonics
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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 2024**

Math 3600 (Advanced Calculus)

Math 5800 (Combinatorial Analysis)

**Spring 2025**

Math 4100 (Complex Analysis)

**Advising**

PhD and Masters Students

Postdoctoral

**Upcoming Presentations and Conferences**

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.

**Some Past Workshops**

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**

Transactions of the AMS

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