Research Interests

I am a fifth year graduate student studying applied mathematics and complex systems at Dartmouth College, under Professor Dan Rockmore. My research interests tend towards applications of algebraic and combinatorial methods in data analysis.

### Research Papers

1. 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.
2. A new framework for dynamical models on multiplex networks, with S. Pauls, Journal of Complex Networks, to appear, (2018).
3. Multiplex Dynamics on the World Trade Web, Proc. 6th International Conference on Complex Networks and Applications, Studies in Computational Intelligence, Springer, 1111-1123, (2018).
4. Cyclic Groups with the same Hodge Series, with P. Doyle, Revista de la UMA, 59(2), 241-254, (2018).
5. Random Walk Null Models for Time Series Data , with K. Moore, Entropy, 19(11):615, (2017).
6. Spectral Clustering Methods for Multiplex Networks, with S. Pauls, arXiv:1703.05355, (2017).
7. A Random Dot Product Model for Weighted Networks, with D. Rockmore, arXiv:1611.02530, (2016).
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. An Application of the Permanent-Determinant Method: Computing the Z-index of Arbitrary Trees, WSU Technical Report Series #2013-2, (2013).