Algebra Research Group
Algebra Seminar runs Tuesdays 2—3 in Physics 233, unless stated otherwise. Organized by Steven P. Diaz.
Professors
Steven P. Diaz specializes in algebraic geometry (the study of the solutions of polynomial equations in any number of variables), and he works mainly on curves. His main goal is understanding the moduli spaces which parametrize varying families of curves. Another interest is sets of equations that define finite sets of points.
Mark Kleiner works on representations of finite-dimensional algebras.
Graham Leuschke is a commutative algebraist who works particularly on those aspects closely related to representation theory and non-commutative algebraic geometry. He is especially interested in maximal Cohen-Macaulay modules over Cohen-Macaulay rings.
Claudia Miller does research in commutative algebra and its connections with algebraic geometry. Special interests include homological and characteristic p phenomena, as well as intersection theory and multiplicities.
Declan Quinn is an algebraist who studies group actions on noncommutative rings and Galois theory. His other research interests are Hopf algebras and enveloping algebras.
Dan Zacharia studies representations of finite dimensional algebras as well as homological algebra.
Postdocs
Hamid Rahmati is a postdoctoral scholar in commutative algebra. He earned his PhD from the University of Nebraska–Lincoln in 2009, and works primarily with Professor Miller.