Research Interests
- algebra
- graph theory
- voting theory
- representation theory
- computational noncommutative harmonic analysis
Applied Representation Theory
The
Applied Representation Theory Group
is an up-and-coming research group here at Harvey Mudd College.
The current focus of the group is fast matrix multiplication.
Publications
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Irreducible graphs
(with M. Koyama and D. Neel),
Journal of Combinatorial Mathematics and Combinatorial Computing
62 (2007), 35-43.
-
Spectral analysis of the Supreme Court
(with B. Lawson and D. Uminsky),
Mathematics Magazine 79 (2006), no. 5, 340-346.
-
Dead Heat: The 2006 Public Choice Society Election
(with S. Brams and M. Hansen),
Public Choice 128 (2006), no. 3-4, 361-366.
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Reflections acting efficiently on a building, Forum Mathematicum 18 (2006), no. 3, 419-425.
-
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, 531-547.
-
Computing isotypic projections with the Lanczos iteration
(with D. Maslen and D. Rockmore),
SIAM Journal on Matrix Analysis and Applications 25 (2004), no. 3,
784-803.
-
Radon transforms and the finite general linear groups,
Forum Mathematicum 16 (2004), no. 1, 97-107.
-
Two quick combinatorial proofs
(with A. Benjamin),
College Mathematics Journal 33 (2002), no. 5, 406-408.
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An eigenspace approach to decomposing representations of finite groups, Ph.D. thesis, Dartmouth College, 2001.
Papers Under Review or in Progress
Interesting Links