Published Papers:

Forthcoming. “Impurity in Contemporary Mathematics”. Notre Dame Journal of Formal Logic. (preprint)

Forthcoming. “Induction and Explanatory Definitions in Mathematics”. Synthese. (preprint : official version)

Papers in Preparation:

“Exemplification as a Means to Understanding in Mathematics”

“The Abstract Subject Matter of Mathematics: Virtual Knot Theory”

“Understanding as the Aim of Mathematics”

Talks:

December 2019: “Mathematical Explanation as a Means to Understanding”, at Explanation and Understanding within Mathematics Workshop, hosted by Vrije Universiteit Brussel. (abstract : event)

November 2019: “Understanding as the Aim of Mathematics”, University of Notre Dame Colloquium Series, elected graduate student speaker.

November 2019: “The Explanatory Value of Category Theory”, at Midwest Philosophy of Mathematics Workshop, University of Notre Dame. (abstract : event)

November 2019: “Understanding as the Aim of Mathematics”, at Novembertagung on the History and Philosophy of Mathematics. (abstract : event)

October 2019: “The Explanatory Value of Category Theory”, Category Theory OctoberFest 2019, Johns Hopkins University. (abstract : event)

October 2019: “The Explanatory Value of Category Theory”,  UConn Logic Colloquium. (abstract : event)

March 2019: “Impurity in Contemporary Mathematics”, at Mathematics in Philosophy: Purity and Idealization, hosted by University of Notre Dame. (event)

May 2018: “Rigor and Intuition in Topology: The Development of the Poincaré Conjecture”, at the Masterclass in the Philosophy of Mathematical Practice (2018), hosted by Vrije Universiteit Brussel. (abstract)