Notes and Publications

Submitted Accepted Published Others
Submitted
  1. Combinatorics of finite abelian groups and Weil representations, with Kunal Dutta.
Accepted
  1. Ultrametric logarithm laws, II, with Jayadev S. Athreya and Anish Ghosh. Monatsh. Math.
  2. The Cartan matrix of a Centralizer algebra, with Umesh V. Dubey and Pooja Singla. Proc. Indian Acad. Sci. Math. Sci.
Published
  1. An easy proof of the Stone-von Neumann-Mackey theorem. Exposition. Math., 24:110-118, 2011.
  2. Degenerations and orbits in finite abelian groups, with Kunal Dutta. J. Combin. Theory Ser. A., 118:1685-1694, 2011.
  3. Counting subspaces of a finite vector space. Resonance, 15:977-987;1074-1083, 2010.
  4. Inductive algebras and homogeneous shifts, with M. K. Vemuri. Compl. Anal. Oper. Theory, 4:1015-1027, 2010.
  5. Locally compact abelian groups with symplectic self-duality, with Ilya Shapiro and M. K. Vemuri. Adv. Math., 225:2429-2454, 2010.
  6. Iwahori-Hecke Algebras, with Thomas J. Haines and Robert E. Kottwitz. J. Ramanujan Math. Soc., 25:113-145, 2010.
  7. Inductive algebras for finite Heisenberg groups, with M. K. Vemuri. Comm. Algebra, 38:509-514, 2010.
  8. 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.
  9. On character values and decomposition of the Weil representation associated to a finite abelian group. J. Analysis, 17:73-86, 2009.
  10. 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.
  11. Ultrametric logarithm laws I, with Jayadev Athreya and Anish Ghosh. Discrete Contin. Dynam. Syst. Ser. S, 2:337-348, 2009.
  12. Eigenfunctions of the Laplace-Beltrami operator on hyperboloids, with M. K. Vemuri. Tamkang J. Math., 39:335-339, 2008.
  13. Representations of a finite group in positive characteristic, Math. Newsl. Ramanujan Math. Soc., 16:73-78, 2007.
  14. A note on Bruhat decomposition over local principal ideal rings, with Uri Onn and Leonid Vaserstein, Comm. Algebra, 34:4119--4130, 2006.
  15. 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.
  16. Almost unramified automorphic representations for split groups over Fq(t), J. Algebra, 262:253--261, 2004.
  17. Reduction theory for a rational function field, Proc. Indian Acad. Sci. Math. Sci. 113:153--163, 2003.
  18. Almost unramified discrete spectrum for split groups over Fq(t), Duke Math. J., 113:237--257, 2002.
  19. Almost unranified discrete spectrum for split semisimple groups over a rational function field, University of Chicago Ph.D. thesis, 2001.
Notes, Slides, etc.
  1. Counting and Symmetry, slides from a talk on Polya theory given as part od DST INSPIRE Science camp on 14th October 2011 (pdf).
  2. Representations of symmetric groups via the RSK correspondence, notes for a talk given at IISc on 23rd September 2011 (pdf).
  3. Relative positions in finite abelian groups, slides from a talk given at the Institute Seminar Week 2011 (pdf).
  4. 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, and at the International Conference on Non-commutative Rings and Combinatorial Representation Theory held at Pondicherry University in September 2010 (pdf).
  5. Faces of the Fourier transform, slides from a talk given at the workshop on Perspectives in Mathematics in Mumbai on December 21st, 2009 (pdf).
  6. Mackey's little groups method (with M. K. Vemuri). (pdf).
  7. 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).
  8. GL2(Fp) (notes from a course taught at the summer student programme in 2005). (pdf).
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