Research Interests

I am currently a postdocoral associate at MIT (CSAIL) in the Geometric Data Processing Group, working under Justin Solomon. I am also associated with the Metric Geometry and Gerrymandering Group at MIT and Tufts, working with Moon Duchin and Justin Solomon on the mathematics of redistricting. Previously, I earned my Ph.D. in mathematics at Dartmouth College under the supervision of Dan Rockmore. My research interests tend towards applications of algebraic and combinatorial methods in data analysis.

Croasdale Award

In 2018, I won the Hannah Croasdale Award, which is a college-wide award awarded annually to the graduating PhD recipient who best exemplifies the qualities of a scholar. An article from the graduate school focused on my research experiences can be found: here.

Research Articles

    Accepted Papers

  1. Total Variation Isoperimetric Profiles, with H. Lavenant, Z. Schutzman, and J. Solomon, SIAM Journal on Applied Algebra and Geometry, to appear (2019).
  2. Spectral Clustering Methods for Multiplex Networks, with S. Pauls, Physica A, 121949, (2019).
  3. Redistricting Reform in Virginia: Districting Criteria in Context, with M. Duchin, Virginia Policy Review, 12(2), 120-146, (2019).
  4. A new framework for dynamical models on multiplex networks, with S. Pauls, Journal of Complex Networks, 6(3), 353-381, (2018).
  5. Multiplex Dynamics on the World Trade Web, Proc. 6th International Conference on Complex Networks and Applications, Studies in Computational Intelligence, Springer, 1111-1123, (2018).
  6. Cyclic Groups with the same Hodge Series, with P. Doyle, Revista de la UMA, 59(2), 241-254, (2018).
  7. Random Walk Null Models for Time Series Data, with K. Moore, Entropy, 19(11):615, (2017).
  8. Enumerating Tilings of Rectangles by Squares, Journal of Combinatorics, 6(3), 339-351, (2015).
  9. Pulsated Fibonacci Sequences, with K. Atanassov and A. Shannon, Fibonacci Quarterly (Conference Proceedings), 52(5), 22-27 (2014).
  10. Enumerating Distinct Chessboard Tilings , Fibonacci Quarterly (Conference Proceedings), 52(5), 102-116, (2014).
  11. Seating Rearrangements on Arbitrary Graphs, Involve, 7(6), 787-805, (2014).
  12. Empirical Analysis of Space-Filling Curves for Scientific Computing Applications, with A. Kalyanaraman, Proceedings of the 42nd International Conference of Parallel Processing, 170-179, (2013).
  13. Counting Rearrangements on Generalized Wheel Graphs, Fibonacci Quarterly, 51(3), 259-273, (2013).
  14. Preprints

  15. Complexity and Geometry of Sampling Connected Graph Partitions, with L. Najt and J. Solomon, arXiv:1908.08881, (2019).
  16. Mathematics of Nested Districts: The Case of Alaska, with S. Caldera, M. Duchin, S. Gutenkust, and C. Nix, Preprint, (2019).
  17. On the Spectrum of Finite Rooted Homogeneous Trees, with D. Rockmore, arXiv:1903.07134, (2019).
  18. Fourier transforms on \(SL_2(\mathbb{Z}/p^n\mathbb{Z})\) and related numerical experiments, with B. Breen, J. Linehan, and D. Rockmore, arxiv: 1710.02687, (2017).
  19. A Random Dot Product Model for Weighted Networks, with D. Rockmore, arXiv:1611.02530, (2016).
  20. Technical Reports

  21. Comparison of Districting Plans for the Virginia House of Delegates, with M. Duchin and J. Solomon, MGGG Technical Report, (2019).
  22. Amicus Brief of Mathematicians, Law Professors, and Students, M. Duchin and G. Charles et al., Rucho v. Common Cause, (2019).
  23. Study of Reform Proposals for Chicago City Council, with M. Duchin et al., MGGG Technical Report, (2019).
  24. An Application of the Permanent-Determinant Method: Computing the Z-index of Arbitrary Trees, WSU Technical Report Series #2013-2, (2013).

Other Writing

  1. Introduction to Discrete MCMC for Redistricting (with Scrabble) (2019).
  2. Building Ensembles of Graph Partitions (2019)
  3. Geospatial Data Preparation for GerryChain (2019)
  4. Applied Mathematics and Network Science (2018).
    • This is a short piece describing my personal philosophy of applied mathematics and addressing the differences between graphs and networks.
  5. The Written Qual Book (with D. Freund) (2017).
    • This is a 274 page book containing solutions to all of the written qualifying exam problems that were given in the Dartmouth Math Department from 2012-2017. In addition to the solutions, we included 20 pages of expository material on how to survive graduate school and many helpful appendices. There are also 60 pages of notes, commentary, and context to supplement the formal solutions.