Research

Research Areas

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

Read our faculty research descriptions

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 Algebraic Geometry
  • Pratik Misra
• Applied and Computational Mathematics
  • Emmanuel Adara (VAP)
  • Minghao Rostami
  • Ziyao Xu
  • Yahong Yang
• Arithmetic Algebraic Geometry
  • Alexander Borisov
  • Huy Dang (VAP)
  • Adrian Vasiu
• Combinatorial / Discrete Geometry
  • Laura Anderson
  • Alexander Borisov
  • Michael Dobbins
  • Thomas Zaslavsky
• Combinatorics
  • Laura Anderson
  • Michael Dobbins
  • Vladislav Kargin
  • William Kazmierczak
  • Sammy Luo
  • Nhan Nguyen (VAP)
  • Alexander Wilson (VAP)
  • Thomas Zaslavsky
• Geometric Analysis / Global 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 / Differential Geometry
  • Changjie Chen (VAP)
  • Paul Loya
  • Pedro Ontaneda
  • Lorenzo Ruffoni
• Graph Theory
  • Sammy Luo
  • Thomas Zaslavsky
• Group Theory
  • Benjamin Brewster (emeritus)
  • 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
• Harmonic Analysis
  • Hari Nathan (VAP)
  • Emmett Wyman
  • Xiangjin Xu
• Machine Learning
  • Zeyu Ding (courtesy)
  • Guifang Fu
  • Nancy Guo (courtesy)
  • Xingye Qiao
  • Minjie Wang
  • Yahong Yang
• Mathematical and Computational Biology
  • Guifang Fu
  • Nancy Guo (courtesy)
  • Yizeng Li (courtesy)
  • David Renfrew
  • Minghao Rostami
  • Yahong Yang
• Number Theory
  • John Abou-Rached (VAP)
  • Alexander Borisov
  • Walter Carlip (visiting)
  • Huy Dang (VAP)
  • Luise-Charlotte Kappe (emeritus)
  • Marcin Mazur
  • Adrian Vasiu
• Partial Differential Equations
  • Paul Loya
  • Emmett Wyman
  • Xiangjin Xu
  • Gang Zhou
• Probability
  • Vladislav Kargin
  • Nhan Nguyen (VAP)
  • David Renfrew
  • Anton Schick
  • Gang Zhou
• Representation Theory
  • Alex Feingold (emeritus)
  • Dikran Karagueuzian (emeritus)
  • Tae Young Lee (VAP)
  • Inna Sysoeva (visiting)
  • Hung Tong-Viet
  • Alexander Wilson (VAP)
• Statistics
  • Mei-Hsiu Chen (director of consulting)
  • Guifang Fu
  • Jingchen (Monika) Hu
  • Vladislav Kargin
  • Pratik Misra
  • Aleksey Polunchenko
  • Xingye Qiao
  • Anton Schick
  • Minjie Wang
  • Qiqing Yu