About me

I am a topologist and geometer, combining elements of theoretical math with elements of computer science. My main research interest is in directional topological transforms, which represent shapes by recording how topological invariants change throughout height-based filtrations of the shape.

Other research interests include verbose topological descriptors, graph theory, algebraic K-theory of persistence modules, and collaborating with other disciplines to use computational geometry and topology in applications.

I love doing mathematics because of the creativity it requires, and the satisfaction of knowing that I have more deeply understood something by puzzling it out myself with pen and paper or with other people in front of a chalkboard. To me, the goals of mathematics are not “get better results faster”, but to explore the universe creatively as a human endeavor.

When I am not researching, teaching, or learning math, I love to trail run and dance.