Below are more specific research areas along with the names of faculty members most closely involved, for the 2015-2016 academic year.
Algebraic and Geometric Topology
Laura Anderson
Robert Bieri
F. Thomas Farrell
Ross Geoghegan
Andrey Gogolev
Christoforos Neofytidis
Tam Nguyen-Phan
Pedro Ontaneda
Matthew Zaremsky
Algebra related to logic and computer science
Arithmetic Algebraic Geometry
Alexander Borisov
Daniel Vallieres
Adrian Vasiu
Bayesian Statistics
Zuofeng Shang
Ganggang Xu
Combinatorial Geometry
Laura Anderson
Thomas Zaslavsky
Combinatorics
Laura Anderson
William Kazmierczak
Vaidyanathan Sivaraman
Thomas Zaslavsky
Geometric Analysis
Magdalena Czubak
Andrey Gogolev
Ye Li
Paul Loya
Tam-Phan Nguyen
Pedro Ontaneda
Peng Shao
Xiangjin Xu
Geometric Group Theory
Robert Bieri
Matthew Brin
Ross Geoghegan
Fernando Guzman
Matthew Zaremsky
Geometry of Manifolds
F. Thomas Farrell
Andrey Gogolev
Christoforos Neofytidis
Tam Nguyen-Phan
Pedro Ontaneda
Graph Theory
William Kazmierczak
Vaidyanathan Sivaraman
Thomas Zaslavsky
Group Theory
Robert Bieri
Joseph Brennan
Benjamin Brewster
Matthew Brin
Ross Geoghegan
Fernando Guzman
Luise-Charlotte Kappe
Marcin Mazur
Matthew Zaremsky
Nonparametric Statistics
Anton Schick
Zuofeng Shang
Number Theory
Alexander Borisov
Luise-Charlotte Kappe
Marcin Mazur
Daniel Vallieres
Adrian Vasiu
Partial Differential Equations
Magdalena Czubak
Paul Loya
Peng Shao
Xiangjin Xu
Probability and Statistics
Withanage De Mel
Vladislav Kargin
Aleksey Polunchenko
Xingye Qiao
Anton Schick
Grigory Sokolov
Ganggang Xu
Qiqing Yu
Representation Theory
Alex Feingold
Dikran Karagueuzian
Statistical Learning and Data Mining