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