Algebra & Number Theory

 

Full-Time Faculty Research Interests
Francesco Cellarosi Limit theorems for exponential sums, random processes of number-theoretical origin, Mobius randomness law
Ivan Dimitrov Lie algebras and Lie superalgebras: representations and structure
Ernst Kani Diophantine geometry, algebraic geometry, number theory, cryptography, modular forms
Ram Murty Number theory, cryptography, automorphic forms,representation theory and spectral graph theory
Catherine Pfaff Geometric group theory, topology, symbolic dynamics ​
Brad Rodgers Analytic number theory, random matrix theory ​
Mike Roth Algebraic geometry, Diophantine geometry, Moduli spaces of maps and curves, Vector bundles
Greg Smith Algebraic Geometry, Algebra, and Computational Methods
Noriko Yui Arithmetic algebraic geometry, Calabi-Yau varieties and mirror symmetry, modularity, modular forms, the Monster and related topics, Inverse Galois Theory

 

Affiliated Faculty Status Research Interests
Adjunct Invariant theory, mostly modular, finite groups, reflection groups, commutative algebra, algebraic geometry and topology, representation theory
Cross-Appointed Representation theory of algebras
David Wehlau Cross-Appointed Invariant Theory, Algebraic Groups
Imed Zaguia Cross-Appointed Graphs, ordered sets, relational structure, hereditary classes, age of relational structure, well quasi order, linear extension, 1/3-2/3 conjecture, algorithmic aspects of ordered sets and graphs