Research Interests

I am currently a postdoc in 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.

Publications

    Accepted Papers

  1. A new framework for dynamical models on multiplex networks, with S. Pauls, Journal of Complex Networks, 6(3), 353-381, (2018).
  2. Multiplex Dynamics on the World Trade Web, Proc. 6th International Conference on Complex Networks and Applications, Studies in Computational Intelligence, Springer, 1111-1123, (2018).
  3. Cyclic Groups with the same Hodge Series, with P. Doyle, Revista de la UMA, 59(2), 241-254, (2018).
  4. Random Walk Null Models for Time Series Data, with K. Moore, Entropy, 19(11):615, (2017).
  5. Enumerating Tilings of Rectangles by Squares, Journal of Combinatorics, 6(3), 339-351, (2015).
  6. Pulsated Fibonacci Sequences, with K. Atanassov and A. Shannon, Fibonacci Quarterly (Conference Proceedings), 52(5), 22-27 (2014).
  7. Enumerating Distinct Chessboard Tilings , Fibonacci Quarterly (Conference Proceedings), 52(5), 102-116, (2014).
  8. Seating Rearrangements on Arbitrary Graphs, Involve, 7(6), 787-805, (2014).
  9. 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).
  10. Counting Rearrangements on Generalized Wheel Graphs, Fibonacci Quarterly, 51(3), 259-273, (2013).
  11. Preprints

  12. On the Spectrum of Finite Rooted Homogeneous Trees, with D. Rockmore, arXiv:1903.07134, (2019).
  13. Total Variation Isoperimetric Profiles, with H. Lavenant, Z. Schutzman, and J. Solomon, arXiv:1809.07943, (2018).
  14. 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).
  15. Spectral Clustering Methods for Multiplex Networks, with S. Pauls, arXiv:1703.05355, (2017).
  16. A Random Dot Product Model for Weighted Networks, with D. Rockmore, arXiv:1611.02530, (2016).
  17. Technical Reports

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