### In Submission

- Characterizing the Integrality Gap of the Subtour LP for the Circulant Traveling Salesman Problem, with David P. Williamson.

### Working Papers

- Hardness of Matroid Inclusion, with Robert Kleinberg.
- New Combinatorial Interpretations for the Restricted All-Subset Hyperplane Arrangement, with Karola Mészáros.

### Publications

- The Unbounded Integrality Gap of a Semidefinite Relaxation of the Traveling Salesman Problem, with David P. Williamson. SIAM Journal on Optimization 28:2073-2096, 2018.
- The Mean(est) Voting System, with David Lingenbrink and Michael Orrison. Math and Voting special issue of Math Horizons, 2016. (Based on undergraduate work at Harvey Mudd)
- Permutation Patterns in Latin Squares, with Michael Earnest. The Australasian Journal of Combinatorics, 2014. (Based on undergraduate work at the ETSU Math REU)
- Logarithmic Representability of Integers as k-Sums, with Anant Godbole, Vince Lyzinski, and Yan Zhuang. Erdos Centennial Conference volume of Integers, 2013. (Based on undergraduate work at the ETSU Math REU)

I have four internal papers within industry. Details are available on request.