Notes and Publications

Preprints To Appear Published Informal Notes
Preprints
  1. Degenerations and orbits in finite abelian groups, with Kunal Dutta.
To Appear
  1. Counting subspaces of a finite vector space. Resonance.
  2. An easy proof of the Stone-von Neumann-Mackey theorem. Exposition. Math.
  3. On character values and decomposition of the Weil representation associated to a finite abelian group. J. Analysis.
Published
  1. Locally compact abelian groups with symplectic self-duality, with Ilya Shapiro and M. K. Vemuri. Adv. Math., 225:2429-2454, 2010.
  2. Iwahori-Hecke Algebras, with Thomas J. Haines and Robert E. Kottwitz. J. Ramanujan Math. Soc., 25:113-145, 2010.
  3. Inductive algebras for finite Heisenberg groups, with M. K. Vemuri. Comm. Algebra, 38:509-514, 2010.
  4. On cuspidal representations of general linear groups over discrete valuation rings, with Anne-Marie Aubert, Uri Onn and Alexander Stasinski. Israel J. Math., 175:391-420, 2010.
  5. Similarity classes of 3x3 matrices over a local principal ideal ring, with Nir Avni, Uri Onn and Leonid Vaserstein. Comm. Algebra, 37:2601-2615, 2009.
  6. Inductive algebras and homogeneous shifts, with M. K. Vemuri. Compl. Anal. Oper. Theory (Online First).
  7. Ultrametric logarithm laws I, with Jayadev Athreya and Anish Ghosh. Discrete Contin. Dynam. Syst. Ser. S, 2:337-348, 2009.
  8. Eigenfunctions of the Laplace-Beltrami operator on hyperboloids, with M. K. Vemuri. Tamkang J. Math., 39:335-339, 2008.
  9. Representations of a finite group in positive characteristic, Math. Newsl. Ramanujan Math. Soc., 16:73-78, 2007.
  10. A note on Bruhat decomposition over local principal ideal rings, with Uri Onn and Leonid Vaserstein, Comm. Algebra, 34:4119--4130, 2006.
  11. On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields, Bull. Kerala Math. Assoc. (special issue on harmonic analysis and quantum groups), December 2005.
  12. Almost unramified automorphic representations for split groups over Fq(t), J. Algebra, 262:253--261, 2004.
  13. Reduction theory for a rational function field, Proc. Indian Acad. Sci. Math. Sci. 113:153--163, 2003.
  14. Almost unramified discrete spectrum for split groups over Fq(t), Duke Math. J., 113:237--257, 2002.
  15. Almost unranified discrete spectrum for split semisimple groups over a rational function field, University of Chicago Ph.D. thesis, 2001.
Informal Notes
  1. Combinatorics of finite abelian groups and the Weil representation, slides from a talk given at the ICM satellite conference on Algebraic and Combinatorial Approaches to Representation Theory held at NIAS Bangalore in August 2010 (pdf).
  2. Faces of the Fourier transform, slides from a talk given at the workshop on Perspectives in Mathematics in Mumbai on December 21st, 2009 (pdf).
  3. Mackey's little groups method (with M. K. Vemuri). (pdf).
  4. Representations of GL2(Fq) and SL2(Fq) and some remarks about GLn(Fq) (Lecture notes from the Advanced Instructional School on Representation Theory and its Applications held in Pune in July 2007). (arXiv),(djvu),(html).
  5. GL2(Fp) (notes from a course taught at the summer student programme in 2005). (pdf).
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