## JIM HAGLUND

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.

**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 2019**

Math 340 (Discrete Mathematics I)

Math 580 (Graduate Combinatorics I)

**Spring 2020**

Math 581 (Topics in Combinatorics)

**Advising**

PhD and Masters Students

Postdoctoral

**Upcoming Presentations and Conferences**

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

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

**Some Past Workshops**

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