Ph.D. Students
 
 
Current
Nikita Borisov
Interests: Algebraic Combinatorics, Representation Theory.
Email: nborisov at sas.upenn.edu
Alex Vetter
Interests: Algebraic Combinatorics, Algebraic Geometry.
Email: avett at math.upenn.edu
Jennifer Wang
Interests: Algebraic Combinatorics, Algebraic Topology.
Email: xwang16 at sas.upenn.edu
 
 
Former
Dr. Fred Butler, Ph.D., Penn, May 2004.
Thesis: "Cycle-Counting
q-Rook Theory and other Generalizations of Classical Rook Theory".
Interests: Algebraic and Enumerative Combinatorics.
Current Position: Associate Professor of Mathematics, York College of Pennsylvania.
Email: fbutler at ycp.edu
Dr. Chunwei Song, Ph.D., Penn, May 2004.
Thesis: "Combinatorial Theory
of q,t-Schroder Polynomials, Parking Functions and Trees".
Interests: Algebraic and Enumerative Combinatorics, Graph Theory.
Current Position: Professor of Mathematics,
Beijing University (PKU).
Email: csong at math.pku.edu.cn
Dr. Mahir Can, Ph.D., Penn, May 2006.
Thesis: "Nabla Operator and Combinatorial
Aspects of Atiyah-Bott Lefschetz Theorem".
Interests: Algebraic and Geometric Combinatorics, Algebraic Geometry.
Current Position: Professor of Mathematics, Tulane University.
Email: mcan at tulane.edu
Dr. Sarah Mason, Ph.D., Penn, May 2006.
Thesis: "Nonsymmetric Schur Functions".
Interests: Algebraic and Enumerative Combinatorics, Combinatorial Representation Theory.
Current Position: Associate Professor of Mathematics, Wake Forest University.
Email: saharkmason at gmail.com
Dr. Meesue Yoo, Ph.D., Penn, May 2009.
Thesis: "Combinatorial Formulas Connected to Diagonal Harmonics and Macdonald Polynomials".
Interests: Algebraic Combinatorics, Macdonald Polynomials.
Current Position: Assistant Professor of Mathematics, Chungbuk National University, Cheongju, South Korea.
Email: meesue at gmail.com
Dr. Tian Liang, Ph.D. Penn, May 2010.
Thesis: "An Overview of the Geometry and Combinatorics of the Macdonald Polynomial and
q,t-Catalan Number".
Current Position: Dr. Liang has a full-time position
with an insurance company in Philadelphia which is part of
Dutch conglomerate ING.
Email: tl.tianliang at gmail.com
Dr. Paul Levande, Ph.D, Penn, December 2012.
Thesis: "Combinatorial Structures and Generating Functions of Fishburn Numbers, Parking Functions, and Tesler Matrices"
Interests: Algebraic and Bijective Combinatorics, Rook Polynomials, Diagonal Harmonics.
Current Position: Research Analyst, Rentrack (in Manhattan).
Email: plevande at gmail.com
Dr. Mirko Visontai, Ph.D., Penn, May 2012.
Thesis: "Real-rooted Polynomials in Combinatorics".
Interests: Algebraic Combinatorics, Polynomials with only Real Zeros, Stable polynomials.
Current Position: Google, Inc.
Email: mirko at math.upenn.edu
Dr. Li-Ping Mo, Ph.D., Penn, August 2015.
Thesis: "q-Hit polynomials have only real roots".
Interests: Algebraic and Enumerative Combinatorics.
Current Position: Li-Ping is working on software for 3D printing algorithms for a Taiwan-based 3D printing company.
Email: sweetgab12 at gmail.com
Dr. Anna Pun, Ph.D., Penn, May 2016.
Thesis: On Decomposition of the Product of Demazure Atoms and Demazure Characters
Interests: Algebraic Combinatorics, Combinatorial Representation Theory.
Current Position: Tenure-Track Assistant Professor of Math., CUNY-Baruch College.
email:annapunying at gmail.com
Dr. Logan Crew, Ph.D. Penn, May 2020.
Thesis: Vertex-Weighted Generalizations of Chromatic Symmetric Functions
Interests: Algebraic and Enumerative Combinatorics.
Current Position: Research Assistant Professor, University of Waterloo
Email: logan.crew@uwaterloo.ca
Dr. George Wang, Ph.D. Penn, May 2021.
Thesis: A Cornucopia of Labeled Diagrams and Their Generating Polynomials
Interests: Algebraic and Enumerative Combinatorics.
Current Involvement: Studying AI
Email: wage at math.upenn.edu
Dr. Jongwon Kim, Ph.D. Penn, May 2022.
Thesis: Fermionic Diagonal Coinvariants
Interests: Algebraic Combinatorics, Representation Theory.
Current Position: Google, Inc.
Email: jk1093 at math.upenn.edu
Masters Students
Dan Cain, Masters degree, Penn, December
2003.
Thesis:
Rook Theory and Matchings
Jaren Smith, Masters degree, Penn, July 2004.
Thesis:
The q,t-Catalan Numbers
Kendra Nelsen, Masters degree, Penn, May 2005.
Thesis:
A New Interpretation of the Cocharge Statistic
Mirko Visontai, Masters degree, Penn, July 2007.
Thesis:
Investigations of Graph Polynomials
Sun Huan, Masters degree (in AMCS), Penn, August 2011.
Thesis:
The q,t-Catalan Numbers, Hilbert Series and Parking Functions
Surl-Hee (Shirley) Ahn, Masters degree, Penn, June
2012.
Thesis:
On the Zeros of Component Functions of the Riemann Xi Approximates
David Lonoff, Masters degree, Penn, May 2014.
Thesis:
Generalizations of MacMahon's Theorem
Zhaiming Shen, Masters degree, Penn, May 2017.
Thesis: The q,t-Catalan number and combinatorics of Macdonald polynomials
Lingxi Lu, Masters degree, Penn, August 2019.
Thesis:
Type B q,t-Catalan Numbers and Binomial Coefficients
Kamron Vachiraprasith, MPhil degree, Penn, Fall 2021
Interests: Algebraic Combinatorics, Invariant Theory and Algebraic Structures.
Email: kamronv at math.upenn.edu