Research

Research Areas

Our main areas of concentration are Algebra, Analysis, Applied & Computational Mathematics, Combinatorics, Geometry/Topology, and Statistics/Probability.

Specific topics and their associated faculty are shown below.

  • Algebraic and Geometric Topology
    • John Abou-Rached (VAP)
    • Laura Anderson
    • Changjie Chen (VAP)
    • Michael Dobbins
    • Ross Geoghegan (emeritus)
    • Cary Malkiewich
    • Pedro Ontaneda
    • Lorenzo Ruffoni
    • Jenya Sapir
    • Daniel Studenmund
    • Danika Van Niel (VAP)
  • Algebra related to logic and computer science
    • Fernando Guzman (emeritus)
  • Applied and Computational Mathematics
    • Emmanuel Adara (VAP)
    • Minghao Rostami
    • Ziyao Xu
    • Yahong Yang
  • Arithmetic Algebraic Geometry
    • Huy Dang (VAP)
    • Alexander Borisov
    • Adrian Vasiu
  • Combinatorial Geometry
    • Laura Anderson
    • Alexander Borisov
    • Michael Dobbins
    • Tan Nhat Tran (VAP)
    • Thomas Zaslavsky
  • Combinatorics
    • Laura Anderson
    • Michael Dobbins
    • Quaid Iqbal (VAP)
    • William Kazmierczak
    • Sammy Luo
    • Nhan Nguyen
    • Tan Nhat Tran (VAP)
    • Alexander Wilson
    • Thomas Zaslavsky
  • Geometric Analysis
    • Paul Loya
    • Pedro Ontaneda
    • Emmett Wyman
    • Xiangjin Xu
    • Gang Zhou
  • Geometric Group Theory
    • John Abou-Rached (VAP)
    • Matthew Brin (emeritus)
    • Ross Geoghegan (emeritus)
    • Fernando Guzman (emeritus)
    • James Hyde
    • Lorenzo Ruffoni
    • Jenya Sapir
    • Daniel Studenmund
  • Geometry of Manifolds
    • Changjie Chen (VAP)
    • Pedro Ontaneda
    • Lorenzo Ruffoni
  • Graph Theory
    • Quaid Iqbal (VAP)
    • Sammy Luo
    • Tan Nhat Tran (VAP)
    • Thomas Zaslavsky
  • Group Theory
    • Robert Bieri (visiting)
    • Matthew Brin (emeritus)
    • Walter Carlip (visiting)
    • Ross Geoghegan (emeritus)
    • Fernando Guzman (emeritus)
    • Luise-Charlotte Kappe (emeritus)
    • Tae Young Lee (VAP)
    • Marcin Mazur
    • Daniel Studenmund
    • Inna Sysoeva (visiting)
    • Hung Tong-Viet
  • Machine Learning
    • Zeyu Ding (courtesy)
    • Guifang Fu
    • Nancy Guo (courtesy)
    • Xingye Qiao
    • Minjie Wang
    • Yahong Yang
  • Number Theory
    • Alexander Borisov
    • Walter Carlip (visiting)
    • Huy Dang
    • Luise-Charlotte Kappe (emeritus)
    • Marcin Mazur
    • Adrian Vasiu
  • Partial Differential Equations
    • Paul Loya
    • Emmett Wyman
    • Xiangjin Xu
    • Gang Zhou
  • Probability
    • Vladislav Kargin
    • Nhan Nguyen
    • David Renfrew
    • Rohan Sarkar
    • Anton Schick
    • Gang Zhou
  • Representation Theory
    • Alex Feingold
    • Dikran Karagueuzian
    • Tae Young Lee (VAP)
    • Inna Sysoeva (visiting)
    • Hung Tong-Viet
    • Alexander Wilson
  • Statistics
    • Mei-Hsiu Chen (director of consulting)
    • Guifang Fu
    • Vladislav Kargin
    • Pratik Misra
    • Jingchen (Monika) Hu
    • Aleksey Polunchenko
    • Xingye Qiao
    • Anton Schick
    • Minjie Wang
    • Qiqing Yu