About Me
I received my Ph.D. in Mathematics in 2018 from the University of Texas at Austin where my advisor was Dan Freed. I worked on applications of super geometry, algebraic topology, and category theory to quantum field theories and condensed matter physics. From July 2018 to June 2021 I was a J.J. Sylvester Assistant Professor at the Johns Hopkins University. Since September 2021, I am a software engineer at Symbiont where I develop smart contract applications on Symbiont's proprietary permissioned blockchain platform.
Math Research (CV)
- K-theoretic computation of the Verlinde Ring - Ph.D. Thesis
- Localization and Stationary Phase Approximation on Supermanifolds
- Mixed Intermediate Jacobians - Masters Thesis
- (m)-Self-Dual Polygons - Undergraduate Thesis
- Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature
Teaching
Calculus III Projects
Introduction to Proofs Course
Coding Projects
- VideoArxiv: a repository for math videos written in Haskell/Yesod. It automatically scrapes several sources every week for new videos. Code available on Github.
- AviCalc: an android calculator for aeronautical computations written in Rust/Java. The back end is written in Rust, which isn't the best architectural decision, but I wanted to learn Rust for a while, so this was a good opportunity. I might port it to iPhone some day to justify using a native library. Code available on Github.
- Game 11: a multiplayer card game written in Python/Javascript/Websocket. This was written for my wife and her friends who have a long tradition of playing this game and were unable to due to Covid. Code available on Github.
3D Printing
Pen Holder
This pen holder is made up of pieces demonstrating the decomposition of the pair of pants cobordism into contractable pieces. (This is a manifestation of the cobordism hypothesis). The pieces are held together by magnets. The design was made in OpenScad. This was a present for my advisor.
Projection Night Lamp
This night lamp projects a picture on the surface the lamp is standing on. The picture at the bottom of the lamp is illuminated by four LED lights, which is then focused through a 50mm camera lens and then reflected by a mirror at the bottom surface of the top piece. The lamp was designed in FreeCad and was a wedding present.
Electronics
Cat Toy
This was supposed to be a toy for our cat which yanks on a feather at random time intervals. Our cat ended up not finding it entertaining enough so I didn't complete the toy, but I am pretty proud of the circuit I designed, so here it is (LTSpice design). It charges a 470 μF capacitor to about 80V in 5 seconds from a 3.7V battery. It is a combination of a joule thief and a charge pump. It also charges a separate capacitor to 11V in order to switch a MOSFET which can discharge the main capacitor. The yanking is done with an electromagnetic coil and the timing is programmed on ATtiny85.
