Research Interests
 harmonic analysis on finite groups
 applied representation theory
 algebraic voting theory
Selected Publications

Quantum enhancements and biquandle brackets
(with S. Nelson and V. Rivera),
Journal of Knot Theory and Its Ramifications 26 (2017), no. 5,
1750034 (24 pages).

Representation theory of the symmetric group in voting theory and game theory
(with K. Crisman), Contemporary Mathematics 685 (2017), 97115.

Voting for committees in agreeable societies
(with M. Davis and F. Su), Contemporary Mathematics 624
(2014), 147157.

Generalized Condorcet winners (with A. Myers, J. Townsend, S. Wolff,
and A. Wu), Social Choice and Welfare 43 (2014), no. 1, 1127.

Linear rank tests of uniformity: Understanding inconsistent outcomes
and the construction of new tests (with
A. Bargagliotti), Journal of Nonparametric Statistics 24
(2012), no. 2, 481495.

Cyclotomic polynomials, symmetric polynomials, and a generalization of
Euler's totient function (with J. FreedBrown, M. Holden, and
M. Vrable), Mathematics Magazine 85 (2012), no. 1, 4450.

Voting, the symmetric group,
and representation theory (with
Z. Daugherty, A. Eustis, and G. Minton), The American Mathematical
Monthly 116 (2009), no. 8, 667687.

Irreducible graphs
(with M. Koyama and D. Neel),
Journal of Combinatorial Mathematics and Combinatorial Computing
62 (2007), 3543.

Reflections acting efficiently on a building, Forum Mathematicum 18 (2006), no. 3, 419425.

The linear complexity of a graph
(with D. Neel),
Electronic Journal of Combinatorics 13 (2006), Research Paper 9, 19 pp. (electronic).

Rooted trees and iterated wreath products of cyclic groups
(with R. Orellana and D. Rockmore),
Advances in Applied Mathematics 33 (2004), no. 3, 531547.

Computing isotypic projections with the Lanczos iteration
(with D. Maslen and D. Rockmore),
SIAM Journal on Matrix Analysis and Applications 25 (2004), no. 3,
784803.

Radon transforms and the finite general linear groups,
Forum Mathematicum 16 (2004), no. 1, 97107.

An eigenspace approach to decomposing representations of finite groups, Ph.D. thesis, Dartmouth College, 2001.
Papers Under Review or in Progress

Maximal length projections in group algebras with applications to linear rank tests of uniformity
(with A. Bargagliotti), submitted.
Interesting Links