Papers



Aaron Lauda and Monica Vazirani, Crystals from categorified quantum groups , Advances in Mathematics, Volume 228, Issue 2, 1 October 2011, Pages 803–861. http://xxx.lanl.gov/abs/0909.1810 Now available published online at http://dx.doi.org/10.1016/j.aim.2011.06.009




Eric M. Rains and Monica Vazirani, Deformations of permutation representations of Coxeter groups , Journal of Algebraic Combinatorics 2012, DOI: 10.1007/s10801-012-0371-3 published online: 28 April 2012. http://xxx.lanl.gov/abs/1008.1037




Susanna Fishel, Eleni Tzanaki and Monica Vazirani Counting Shi regions with a fixed separating wall, , Proceedings for FPSAC 2011
The .is Iceland links http://combinatorics.is/proceedings/dmAO0132.pdf seem to be all down, so here is an expanded version of the paper FTV.pdf , and here is the poster we presented at FPSAC.




Susanna Fishel and Monica Vazirani, A bijection between (bounded) dominant Shi regions and core partitions , DMTCS Proceedings, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0114
A longer version is available here: bounded.pdf



Susanna Fishel and Monica Vazirani, A bijection between dominant Shi regions and core partitions. , European Journal of Combinatorics 31 (2010), pp. 2087-2101 http://dx.doi.org/10.1016/j.ejc.2010.05.014 , http://xxx.lanl.gov/abs/0904.3118





Chris Berg, Brant Jones and Monica Vazirani, A bijection on core partitions and a parabolic quotient of the affine symmetric group, J. Combin. Theory Ser. A 116 (8) (2009) 1344-1360. doi:10.1016/j.jcta.2009.03.013, arXiv:math.CO/0804.1380




Chris Berg and Monica Vazirani, (l,0)-Carter partitions, their crystal-theoretic behavior and generating function. Electron. J. Combin. 15 (1) (2008) Research Paper 130, 23 pp http://www.combinatorics.org/Volume_15/Abstracts/v15i1r130.html, http://xxx.lanl.gov/abs/0712.2075




Eric M. Rains and Monica Vazirani, Vanishing Integrals of Macdonald and Koornwinder polynomials. , Transformation Groups 12 (4) (2007) 725-759. http://www.springerlink.com/content/q6q276157822401u/ , http://xxx.lanl.gov/abs/math/0606204




Monica Vazirani, An observation on highest weight crystals. Journal of Algebra (315) (2007) 483-501. http://dx.doi.org/10.1016/j.jalgebra.2007.05.021, http://xxx.lanl.gov/abs/math/0511221




Takeshi Suzuki and Monica Vazirani, Tableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A, IMRN 2005: 27 (2005) 1621-1656. http://xxx.lanl.gov/abs/math/0406617




M. Grigni, L. Schulman, M. Vazirani, and U. Vazirani Quantum Mechanical Algorithms for the Nonabelian Hidden Subgroup Problem, Combinatorica 24 (2004), no. 1, 137--154. springerlink , file.pdf




Edward Formanek, Woo Lee, Inna Sysoeva, and Monica Vazirani, 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.pdf




Monica Vazirani, Extending Frobenius' higher characters. Sci. Math. Jpn. 58 (2003), no. 1, 169--182. file.ps




Monica Vazirani, Parameterizing Hecke algebra modules: Bernstein-Zelevinsky multisegments, Kleshchev multipartitions, and crystal graphs , , Transformation Groups 7 (2002), no. 3 267-303. http://xxx.lanl.gov/abs/math/0107052 , http://www.springerlink.com/content/rcet0ek14nbkq8qb/fulltext.pdf




Monica Vazirani, 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




Monica Vazirani, Filtrations on the Mackey Decomposition for Cyclotomic Hecke Algebras, Journal of Algebra 252 (2002), no. 2, 205--227. sciencedirect , file.ps




Ian Grojnowski and Monica Vazirani, Strong multiplicity one theorems for affine Hecke algebras of type A, Transformation Groups 6 (2001), no. 2 143-155. http://www.springerlink.com/content/p442426757442810/fulltext.pdf , file.ps




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 and this .pdf might be more readable: file.pdf