Some of the things things I am interested in outside of research mathematics: 

• Rock climbing (mainly bouldering)

• Hiking and generally spending time in nature

• Speedsolving Rubik's cubes of all types

• Learning about most areas of science, especially physics

• Studying philosophy of science and mathematics; here are some texts that have informed my views on the topic:

  • The Structure of Scientific Revolutions - Thomas Kuhn

  • On Proof and Progress in Mathematics - William Thurston (this one is particularly relevant, and also has implications for my understanding of higher mathematical pedagogy)

  • The Unreasonable Effectiveness of Mathematics in the Natural Sciences - Eugene Wigner

Early in graduate school, I also made a few expositional math videos:

• Convolutions and Polynomial Approximation

  • An intuitive and visual introduction to convolutions and approximate identities, with a proof of the Weierstrass approximation theorem as an application. Made in Manim. 

• Demystifying the Dirac Delta

  • A quick introduction to the Dirac delta from a measure-theoretic perspective. I find that introducing the Dirac delta as a point mass is a surprisingly good way to motivate measure theory, especially for physicists and engineers!