I am currently a Ph.D. candidate in the philosophy department at the University of Notre Dame. Before coming to Notre Dame I completed a B.A. in philosophy and mathematics, and an M.A. in mathematics from SUNY Potsdam.
My primary research interests are in philosophy of mathematics with particular focus on contemporary mathematics, mathematical practice, and mathematical explanation within mathematics. I am specifically interested in category theory and algebraic topology and explanations as they appear in these areas. My dissertation is focused on the explanatory role that category theory plays within other areas of mathematics. I argue that category theoretic methods have features that are often classified as explanatory and that as a result the methods and constructions gotten from category theory are often themselves explanatory.
I have secondary interests in visual thinking within mathematics, mathematical explanation within the sciences, philosophy of science more broadly, and epistemic questions relating to understanding.
University of Notre Dame
100 Malloy Hall
Notre Dame, IN 46556