Algebra Research Group
Algebra Seminar runs Tuesdays 2:00–2:55 pm in Carnegie 109, unless announced otherwise. It is organized by Steven P. Diaz.
Seminar Schedule
Professors
Person  Notes 


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 finitedimensional algebras. 

Graham Leuschke is a commutative algebraist who works particularly on those aspects closely related to representation theory and noncommutative algebraic geometry. He is especially interested in maximal CohenMacaulay modules over CohenMacaulay rings and in noncommutative resolutions of singularities. 

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. 
Graduate students
Person  Notes 


Laura Ballard is a student of Professor Miller. 

Rachel Diethorn is a student of Professor Miller. 

Caleb McWhorter is a student of Professor Diaz. 

Casey Necheles is a student of Professor Miller and Professor Wehrli. 

Mkrtich Ohanyan is a student of Professor Miller. 

Eric Ottman is a student of Professor Miller. 

Sean Spriggens is a student of Professor Leuschke. 

Timothy Tribone is a student of Professor Leuschke. 
Recent Publications
 Free resolutions of Artinian compressed algebras (Claudia Miller, Hamidreza Rahmati)
 Thick Subcategories of the stable category of modules over the exterior algebra I (Otto Kerner, Dan Zacharia)
 AuslanderReiten sequences for Gorenstein rings of dimension one (Robert Roy)
 Discrete Fourier Transform tensors and their ranks (Steven P. Diaz, Adam Lutoborski)
 Some extensions of theorems of Knörrer and HerzogPopescu (Alex S. Dugas, Graham J. Leuschke)
 Conjugation of transitive permutation pairs and dessins d'enfants (Sean Rostami)
 Preprojective roots of Coxeter groups (Mark Kleiner)
 On the diagonal subalgebra of an Ext algebra (Edward L. Green, Nicole Snashall, Øyvind Solberg, Dan Zacharia)
 Polynomial foldings and rank of tensors (Steven P. Diaz, Adam Lutoborski)
 Gorenstein and Totally Reflexive Orders (Joshua Stangle)