Monica Vazirani
Home page:
http://www.math.ucdavis.edu/~vazirani/
Position: Associate Professor
Year joining UC Davis: 2002
Degree: Ph.D., 1999, University of California, Berkeley
Refereed publications: Via
Math Reviews
Recent publications: Via
math arXiv
Research
Professor Monica Vazirani studies combinatorial representation theory. Representation theory is the study of symmetry. As such, it gives us the tools
to solve problems about any system that exhibits symmetry, and so has wide applications in other areas of mathematics, as well as in chemistry, physics, and computer science.
Her area of expertise is the representation theory of
Hecke algebras. Hecke algebras arise naturally in many areas of mathematics and physics, such as
quantum groups,
quantum field theory,
statistical mechanics, and
knot theory. She studies their irreducible representations (a.k.a.
simple modules), which are the most basic objects whose symmetries are encoded in this algebra.
Selected Publications
[1] M. Vazirani and E. Rains, " Quadratic transformations of Macdonald and Koornwinder polynomials," math.RT/0606204,
matharXiv0606.5204.
[2] M. Vazirani and T. Suzuki, " Tableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A," math.QA/0406617,
matharXiv0406.5617.
[3] M. Vazirani, M. Grigni, L. Schulman, and U. Vazirani, " Quantum Mechanical Algorithms for the Nonabelian Hidden Subgroup Problem," Combinatorica, 24(1): 137-154, 2004,
MathSciNet2120302.
[4] M. Vazirani, " Filtrations on the Mackey Decomposition for Cyclotomic Hecke Algebras," Journal of Algebra, 252(2): 205-227, 2002,
MathSciNet1925135.
[5] M. Vazirani and I. Grojnowski, " Strong multiplicity one theorem for affine Hecke algebras of type A," Transformation Groups, 6(2): 143-155, 2001,
MathSciNet1835669.
Last updated: 2008/02/26
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