My research area is in representation theory of Lie groups and
related algebraic geometry. Below is a list of publications. Following a link will take you to the
journal article or download a pdf file (if available). If a link is not
active it means that I do not have an electronic copy of the article.
I would be happy to send you a paper copy in this case.
(with M. Sepanski and R. Stanke) Conformal symmetries of the wave operator and representation theory, in preparation.
(with W. Graham) Multiplication of polynomials on Hermitian symmetric spaces and Littlewood-Richardson coefficients, arXiv:math/0605691, to appear in Canad. J. Math.
(with B. Boe) Kostant modules in blocks of category O_S, arXiv:math/0604336.
(with T. Enright and N. Wallach) A Pieri
rule for Hermitian symmetric pairs, Pacific J. Math. 214 (2004),
23--30.
(with T. Enright) Hilbert series and resolutions
of determinantal varieties and unitary highest weight representations,
J. Algebra 273 (2004), 608--639.
(with D. Meyer, J. Park, J. Pommersheim and M. Rothstein)
The geometry of quantum learning, arXiv:quant-ph/0309059,
to appear in Quantum Inf. Process.
(with A. Machiavelo and J. Park)
Chebyshev polynomials over finite fields and two-dimensional additive
cellular automata, Theoret. Comput. Sci. 320 (2004), 465--483.
(with D. Meyer)
Quantum algorithms
for structured search problems,
Quantum Inf. Process. 1 (2002), 145--154.
(with G. Schwarz)
Direct images
of D-modules and a homomorphism of Harish-Chandra,
Proc. Amer. Math. Soc. 129 (2001), 3485--3493.
Invariant holonomic systems on a reductive Lie
algebra and the Zuckerman functor, Thesis, U. C. San Diego, La
Jolla, CA, 1997. xii+78 pp.
Classical invariant
theory for finite reflection groups,
Transform. Groups 2 (1997), 147--163.
(with N. Wallach) On the Harish-Chandra homomorphism
of invariant differential operators on a reductive Lie algebra,
in Representation theory and harmonic analysis, 223--243, Contemp.
Math., 191, Amer. Math. Soc., Providence, RI, 1995.