Monica Vazirani
Associate Professor of Mathematics

Research Interests

Representation theory, combinatorics, discrete math, Hecke algebras

Publications/Preprints

• (with Aaron Lauda) Crystals from categorified quantum groups
  file.pdf         or url   http://xxx.lanl.gov/abs/0909.1810
• (with Susanna Fishel) A bijection between bounded dominant Shi regions and core partitions submitted
  file.pdf         or url  
• (with Susanna Fishel) A bijection between dominant Shi regions and core partitions. European Journal of Combinatorics 31 (2010), pp. 2087-2101
  DOI information: 10.1016/j.ejc.2010.05.014
  file.pdf         or url   http://xxx.lanl.gov/abs/0904.3118 or   http://dx.doi.org/10.1016/j.ejc.2010.05.014
• (with Chris Berg and Brant Jones) A bijection on core partitions and a parabolic quotient of the affine symmetric group, J. Combin. Theory Ser. A 116 (8) (2009) 1344-1360.
  file.pdf         or url   http://dx.doi.org/10.1016/j.jcta.2009.03.013         arXiv:0804.1380
• (with Chris Berg) (l,0)-Carter partitions, their crystal-theoretic behavior and generating function. Electron. J. Combin. 15 (1) (2008) Research Paper 130, 23 pp
  file.pdf       or url   http://www.combinatorics.org/Volume_15/Abstracts/v15i1r130.html or http://www.combinatorics.org/Volume_15/PDF/v15i1r130.pdf         arXiv:0712.2075v2
• An observation on highest weight crystals. Journal of Algebra (315) (2007) 483-501.
  file.pdf       or url   http://dx.doi.org/10.1016/j.jalgebra.2007.05.021         arXiv:math/0511221
• (with Eric Rains) Vanishing Integrals of Macdonald and Koornwinder polynomials. Transformation Groups 12 (4) (2007) 725-759.
  file.pdf       or url   http://xxx.lanl.gov/abs/math/0606204       or url   http://www.springerlink.com/content/q6q276157822401u/
• (with T. Suzuki) Tableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A, IMRN 2005: 27 (2005) 1621-1656. file.ps file.pdf     arXiv:math/0406617
• (with M. Grigni, L. Schulman, and U. Vazirani) Quantum Mechanical Algorithms for the Nonabelian Hidden Subgroup Problem, Combinatorica 24 (2004), no. 1, 137--154. springerlink file.pdf
• (with Edward Formanek, Woo Lee, and Inna Sysoeva) The Irreducible Complex Representations of the Braid Group on n Strings of Degree $\leq$ n, Journal of Algebra and its Applications. 2 (2003), no. 3, 317--333. file.ps file.pdf
• Extending Frobenius' higher characters. Sci. Math. Jpn. 58 (2003), no. 1, 169--182. file.ps
• Parameterizing Affine Hecke Algebra Modules: Bernstein-Zelevinsky Multisegments, Kleshchev Multipartitions, and Crystal Graphs, Transformation Groups 7   (2002), no. 3 267-303. file.ps http://www.springerlink.com/content/rcet0ek14nbkq8qb/fulltext.pdf     arXiv:math/0107052
• Irreducibility of affine Hecke algebra modules induced from Specht modules, Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory CONM 297, Amer. Math. Soc., Providence, RI, 2002. Edited by S. Berman, P. Fendley, Y-Z Huang, K. Misra, and B. Parshall. file.ps
• Filtrations on the Mackey Decomposition for Cyclotomic Hecke Algebras, Journal of Algebra 252 (2002), no. 2, 205--227. file.ps file.pdf
• (with Ian Grojnowski) Strong multiplicity one theorems for affine Hecke algebras of type A, Transformation Groups 6   (2001), no. 2 143-155. file.ps       or url http://www.springerlink.com/content/p442426757442810/fulltext.pdf  

Undergraduate thesis and PhD dissertation

• Irreducible Modules over the Affine Hecke Algebra: a Strong Multiplicity One Result file.ps
• (apparently I did not make a title!) This is about Mantaci and Reutenauer's descent algebra of type B. %file.ps file.pdf

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