Professor of Mathematics
University of Pennsylvania
I am co-organizer
Elizabeth Milicevic of Haverford College,
Linda Chen of Swarthmore College, and
Jennifer Morse of Drexel University) of the
Philadelphia Area Combinatorics and Algebraic Geometry (CAGE) Seminar
(Thursdays from 3-4pm in DRL 3C8 at Penn and/or
Tuesdays from 3-4pm in Korman Center 245 at Drexel).
CAGE Spring 2014
CAGE Fall 2013
On Saturday, April 25, 2015, the second annual
Mid-Atlantic Algebraic Geometry and Combinatorics (MAAGC)
workshop was held at Drexel University.
My research interests are in algebraic and enumerative
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.
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
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
Upcoming Presentations and Conferences
Special Session on Multiple Combinatorial Numbers and Associated Identities, AMS Sectional Meeting, Rutgers Univ.,
New Brunswick, NJ, November 14-15, 2015.
Special Session on the Combinatorics of Symmetric Functions, AMS Sectional Meeting, University of Georgia, Athens, GA, March 5-6, 2016.
The 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC), Vancouver, Canada, July 4-8, 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
Journal of Combinatorics
Bulletin of Parana's Mathematical Society
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