Personal Data

Research interests

Automorphic forms, representation theory, harmonic analysis.

Work experience

Reader F, The Institute of Mathematical Sciences, Chennai (August 2007-present).

Fellow E, The Institute of Mathematical Sciences, Chennai (December 2003-July 2007).

Conducted lecture courses for the National Undergraduate Program of the Chennai Mathematical Institute, Chennai (from December 2003).

Visiting Scientist, Institute des Hautes Études Scientifiques, Bur-sur-Yvette, France (summer 2003 and December 2008).

Visiting Scientist, Max-Planck-Institut für Mathematik, Bonn, Germany (Summer 2002).

Lecturer, Concordia University, Montréal, Québec (2001-2003).

Lecturer, McGill University, Montréal, Québec (2001-2003).

CRM-CICMA Fellow, The University of Montréal, Montréal Québec (2001-2003).

Lecturer in the college, The University of Chicago, Chicago, Illinois (1997-2001).

College Fellow, The University of Chicago, Chicago, Illinois (1996-1997).

University Fellow, The University of Chicago, Chicago, Illinois (1995-1996).

Educational background

Ph.D., The University of Chicago, Chicago, Illinois (2001).
Thesis: Almost unramified discrete spectrum for split semisimple groups over a rational function field (supervised by Robert E. Kottwitz).

M.S., The University of Chicago, Chicago, Illinois (1996).

B.Stat.(hons.) with distinction, Indian Statistical Institute, Calcutta (1995).

Honours and distinctions

Associate, The Indian Academy of Sciences (2005-2010).

McCormick Fellow, The University of Chicago (1995-1997).

Thesis supervision

Pooja Singla, Representations and Conjugacy Classes of General Linear Groups over Principal Ideal Local Rings of Length Two (submitted, 2010).

Papers

1. An easy proof of the Stone-von Neumann-Mackey theorem (submitted).
2. Locally compact abelian groups with symplectic self-duality, with Ilya Shapiro and M. K. Vemuri (submitted).
3. On character values and decomposition of the Weil representation (submitted).
4. Iwahori-Hecke algebras, with Tom Haines and Robert Kottwitz, J. Ramanujan Math. Soc. (to appear).
5. Inductive algebras and homogeneous shifts, with M. K. Vemuri, Compl. Anal. Oper. Theory (to appear).
6. On Cuspidal Representations of General Linear Groups over Discrete Valuation Rings, with Anne-Marie Aubert, Uri Onn and Alexander Stasinski, Israel J. Math. (to appear).
7. Inductive algebras for finite Heisenberg groups, with M. K. Vemuri, Comm. Algebra 38:509-514, 2010.
8. Unltrametric logarithm laws I, with J. S. Athreya and Anish Ghosh, Discrete Contin. Dynam. Systems, 2:337–348, 2009.
9. Similarity classes of 3 × 3 matrices over a principal local ring, with Nir Avni, Uri Onn and Leonid Vaserstein, Comm. Algebra 37:2601-2615, 2009.
10. Eigenfunctions of the Laplace-Beltrami operator on hyperboloids, with Murali Vemuri, Tamkang J. Math., 39:335–339, 2008.
11. Representations of a finite group in positive characteristic, Math. Newslet. Ramanujan Math. Soc., 16:73–78, 2007.
12. A note on Bruhat decomposition of GL(n) over local principal rings, with Uri Onn and Leonid Vaserstein. Comm. in Algebra, 34:4119–4130, 2006.
13. 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, 31–51, 2005.
14. Reduction theory for a rational function field. Proc. Indian Acad. Sci. Math. Sci. 113:153–163, 2003.
15. Almost unramified automorphic representations for split groups over F_q(t). J. Algebra 262:253–261, 2003.
16. Almost unramified discrete spectrum for split groups over F_q(t). Duke Math. J. 113:237–257, 2002.

Courses taught

Functional Analysis (IMSc, Jan-Apr 2008)

Representations of GL₂(F_q) and SL₂(F_q), and some remarks about GL_n(F_q) (AIS in Pune on Representation theory and its Applications, July 2007)

Lie theoretic methods in analysis (CMI, Jan-Apr 2007)

Basics of algebraic groups (ISI Bangalore workshop on Lie groups, Dec 2006)

Topics in representation theory (IMSc, Aug-Dec 2006)

Analysis (CMI, Aug-Dec 2004, 2005)

Complex analysis (IMSc, Jan-Apr 2004)

Honours number theory (McGill, Aug-Dec 2002)

Linear algebra and calculus for engineers (McGill and Concordia, 2001-2003)

Freshman calculus (Chicago, 1996-2001)

Recent Invited Talks

Workshop on Analytic Number Theory, The Institute of Mathematical Sciences, Chennai, February 2010.

11th Discussion Meeting in Harmonic Analysis, NISER Bhubaneswar, January 2010.

Workshop on Perspectives in Mathematics, Homi Bhabha Centre for Science Education, Mumbai, December 2009.

16th Ramanujan Symposium on Fourier Analysis and its Applications, Ramanujan Institute of Advanced Studies in Mathematics, Chennai, February 2009.