Faculty by Research Area
ALGEBRA
Number theory
Cusick, Thomas (focus on Diophantine Approximations)
Li, Hanfeng
Li, Xiaoqing (Analytic Number Theory with focus on automorphic forms and L-functions)
Schanuel, Stephen (Algebraic and Transcendental Number Theory)
Sikora, Adam (focus on Arithmetic Topology)
Zhu, Hui June (Algebraic Number Theory, Arithmetic Geometry, p-adic Hodge Theory)
Representation Theory
Hemmer, David (Modular representation theory)
Li, Yiqiang
Sikora, Adam (Moduli spaces of representations)
Category Theory
Schanuel, Stephen
Badzioch, Bernard (Categorical Algebra, Model Categories)
Algebraic Geometry
Ramachandran, Mohan
Zhu, Hui June
K-theory
Badzioch, Bernard
Olsen, Catherine
ANALYSIS
Functional Analysis, Operator Theory
Chou, Ching
Coburn, Lewis
Kraus, Jon
Li, Hanfeng
Olsen, Catherine
Piech, Ann
Xia, Jingbo
C*-algebras and their deformation theory
Coburn, Lewis
Li, Hanfeng (focus non-commutative geometry, quantization)
Fourier and Harmonic Analysis
Chou, Ching (invariant means)
Xia, Jingbo
Geometric Measure theory
Schanuel, Stephen
APPLIED MATHEMATICS
Applied probability and statistics
Biondini, Gino
Peleg, Avner
Pitman, Bruce
Applied Analysis
Biondini, Gino
Jung, Jae-Hun
Asymptotic and Perturbation Methods
Biondini, Gino
Peleg, Avner
Spencer, Brian
Continuum Mechanics and Materials Modeling
Peleg, Avner
Spencer, Brian
Cryptography
Cusick, Thomas (focus on Boolean functions)
Dynamical Systems
Biondini, Gino
Peleg, Avner
Reineck, James
Ringland, John
Integrable Systems
Biondini, Gino
Mathematical Physics
Biondini, Gino
Dimock, Jonathan
Peleg, Avner
Nonlinear Waves and Optics
Biondini, Gino
Peleg, Avner
Numerical Analysis
Jung, Jae-Hun
Partial Differential Equations
Biondini, Gino
Bloom, Cliff
Pitman, Bruce
Scientific Computing and Computational Mathematics
Hassard, Brian
Jung, Jae-Hun
Pitman, Bruce
Ringland, John
Spencer, Brian
Stability and Bifurcation
Hassard, Brian
Ringland, John
Spencer, Brian
Stochastic Differential Equations
Biondini, Gino
Pitman, Bruce
DISCRETE MATHEMATICS
Cavior, Stephen
GEOMETRY AND TOPOLOGY
Low-dimensional topology
Manning, Jason
Menasco, William
Zhang, Xingru
Geometric Group Theory
Manning, Jason
Quantum Topology
Sikora, Adam
Algebraic Topology
Badzioch, Bernard (focus on Homotopy Theory)
Set Theoretic Topology and Topological Dynamics
Williams, Scott W.
Complex and Differential Geometry
Cowen, Michael
Faran, James
Ramachandran, Mohan
LOGIC AND SET THEORY
Sageev, Gershon (focus on infinite combinatorics, models, forcing)