I am an Assitant Professor in the Department of Mathematics at Baylor University.
My research primarily focuses on finding connections between logic and algebra. More specifically, I work at the interface between model theory and module theory. I mostly study classes of modules and abelian groups as abstract elementary classes in an effort to better understand algebraic and model theoretic concepts. Most of the classes I study are not first-oder axiomatizable. Some of the classes I have studied are: torsion abelian groups with pure embeddings, flat modules with pure embeddings and absolutely pure modules with embeddings CV , Publication list with abstracts.
I got my PhD at Carnegie Mellon in June 2021. My advisor was Rami Grossberg and the title of my thesis was ” Remarks on classification theory for abstract elementary classes with applications to abelian group theory and ring theory“. For this work, I received the 2021 Sacks Prize from the Association for Symbolic Logic for the best thesis in mathematical logic in the world.
Prior to Baylor I was a Burnett Meyer Postdoctoral Fellow in the Department of Mathematics at CU Boulder. My mentor at CU Boulder was Agnes Szendrei.
My research has been partially supported by the National Science Foundation under Award Number DMS-2348881, an AMS-Simons travel grant and a Simons Fou ndation grant MPS-TSM-00007597.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation