Dodd, Chris: Algebraic and Arithmetic Geometry, D-modules, Geometric Representation Theory.
MathSciNet MR Author ID: 809350

Dutta, Sankar: Commutative algebra.
MathSciNet MR Author ID: 60965 | Scopus Author ID: 7402667093

Haboush, William: Algebraic geometry.
MathSciNet MR Author ID: 79055 | Scopus Author ID: 16491451200

Ivanov, Sergei: Combinatorial group theory and its applications.
MathSciNet MR Author ID: 221040 | Scopus Author ID: 35746046500

Kedem, Rinat: Mathematical physics, representation theory of infinite dimensional Lie algebras, quantum groups, and vertex algebras, integrable models statistical mechanics and quantum field theory.
MathSciNet MR Author ID: 336094 | Scopus Author ID: 6603902907

Mineyev, Igor: Geometric group theory, large-scale geometry, hyperbolic groups, various types of homology and cohomology of groups and spaces, topology of manifolds and cell complexes, metric conformal structures, metric geometry.
MathSciNet MR Author ID: 649227 | Scopus Author ID: 6602270466

Algebraic Combinatorics Faculty

Di Francesco, Philippe: Mathematical Physics, Enumerative and Algebraic Combinatorics, Integrable models of Statistical Physics, Cluster Algebra, Matrix models, Quantum (Conformal) Field Theory.
MathSciNet MR Author ID: 243495 | Scopus Author ID: 7005681973

Yong, Alexander: Combinatorial aspects of algebra and geometry; algebraic combinatorics.    
MathSciNet MR Author ID: 693975 | Scopus Author ID: 23394394000   

Algebraic Geometry Faculty

Bradlow, Steven: Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces.    
MathSciNet MR Author ID: 304864 | Scopus Author ID: 23394394000   

Heller, Jeremiah: Homotopy theory and algebraic geometry, with a focus on applications of homotopy theory (classical, equivariant, and motivic), algebraic cycles and algebraic K-theory.    
MathSciNet MR Author ID: 901183 | Scopus Author ID: 23394394000   

Katz, Sheldon: Algebraic geometry, string theory.
MathSciNet MR Author ID: 198078 | Scopus Author ID: 35599974000

Algebraic Number Theory Faculty

Ahlgren, Scott: Modular forms and number theory
MathSciNet MR Author ID: 615972 | Scopus Author ID: 7005668949

Ford, Kevin: Prime number theory, divisor theory, random permutations, arithmetic functions, probabilistic number theory, comparative prime number theory, sieve theory, Riemann zeta function.
MathSciNet MR Author ID: 325647 | Scopus Author ID: 7102539414

Algebraic Topology Faculty

Berwick-Evans, Daniel: Connections between supersymmetric (quantum) field theories, differential geometry, and algebraic topology.
MathSciNet MR Author ID: 1099418 | Scopus Author ID: 56538735300

McCarthy, Randy: Algebraic K-theory, algebraic topology.
MathSciNet MR Author ID: 255186 | Scopus Author ID: 7202095308

Rezk, Charles: Algebraic topology.
MathSciNet MR Author ID: 638495 | Scopus Author ID: 6506950242

Stojanoska, Vesna: Stable homotopy theory, chromatic phenomena, and the occasional interaction with arithmetic.
MathSciNet MR Author ID: 857759 | Scopus Author ID: 56449204000