Research

Optimization and algorithmic fairness

  1. Mathematically Quantifying Gerrymandering and the Non-responsiveness of the 2021 Georgia Congressional Districting Plan, with Zhanzhan Zhao, Swati Gupta, Jonathan Mattingly, Dana Randall, and Gregory Herschlag, accepted to ACM Conference on Equity and Access in Algorithms, Mechanisms, and Optimization (EAAMO) 2022. (arXiv)
  2. Fair and Reliable Reconnections for Temporary Disruptions in Electric Distribution Networks using Submodularity, with Swati Gupta and Daniel Molzahn, 2021, submitted to INFORMS Journal on Computing. (arXiv)
  3. Balanced Districting on Grid Graphs with Provable Compactness and Contiguity, with Shixiang Zhu, Swati Gupta, and Yao Xie, 2021. In FORC 2021 (non-archival). (arXiv)
  4. Generating Clusters for Urban Logistics in Hyperconnected Networks, with Louis Faugere, Simon Kwon, Swati Gupta, and Benoit Montreuil. In IPIC 2021. (pdf)

Combinatorics

  1. Enumerating Parking Completions Using Join and Split, with Ayomikun Adeniran, Steve Butler, Galen Dorpalen-Barry, Pamela Harris, Qingzhong Liang, Jeremy Martin, and Hayan Nam. In the Electronic Journal of Combinatorics, 2020. (arXiv)
  2. A positivity phenomenon in Elser’s Gaussian-cluster percolation model, with Galen Dorpalen-Barry, David Livingston, Jeremy Martin, George Nasr, Julianne Vega, and Hays Whitlatch. In the Journal of Combinatorial Theory, Series A, 2020. (arXiv)
  3. On the genus of a quotient of a numerical semigroup, with Ayomikun Adeniran, Steve Butler, Colin Defant, Yibo Gao, Pamela Harris, Qingzhong Liang, Hayan Nam, and Adam Volk. In Semigroup Forum, 2018. (arXiv)
  4. Universal Partial Words over Non-Binary Alphabets, with Bennet Goeckner, Corbin Groothuis, Brian Kell, Pamela Kirkpatrick, Rachel Kirsch, Ryan Solava. In Theoretical Computer Science, 2018. (arXiv)
  5. A restricted growth word approach to partitions with odd/even size blocks, with Richard Ehrenborg and Dustin Hedmark. In Journal of Integer Sequences, 2017. (pdf)
  6. Box polynomials and the excedance matrix, with Richard Ehrenborg, Alex Happ, and Dustin Hedmark, 2017. (arXiv)

I am also interested in the history of mathematics and mathematical games.