I am currently a graduate student in the philosophy department at the University of Notre Dame, and have recently defended my dissertation entitled The Explanatory Value of Category Theory. Before coming to Notre Dame I completed a B.A. in philosophy and mathematics, and an M.A. in mathematics at SUNY Potsdam.
My primary research interests are in philosophy of mathematics with particular focus on contemporary mathematics, mathematical practice, and mathematical explanation. I am specifically interested in category theory and algebraic topology and explanations as they appear in these areas. My dissertation has two primary aims. First, to develop accounts of mathematical explanation and understanding, as well as to analyze the relation between the two and the roles that each play in contemporary mathematics. Second, to demonstrate that category theory plays an explanatory role in contemporary mathematics. These two points contribute to my over-arching research goal of bringing more philosophical attention to contemporary mathematics and its practice.
I have secondary interests in understanding and explanation more generally, visual thinking within mathematics, concept development within mathematics, and mathematical explanation within the sciences.
AOS: Philosophy of Mathematics
AOC: Epistemology, Logic, Philosophy of Science
University of Notre Dame
100 Malloy Hall
Notre Dame, IN 46556