Amritanshu Prasad
The Institute of Mathematical Sciences
CIT campus Taramani, Chennai 600 113, India
Phone: (91)-44-2254 3207   Fax: (91)-44-2254 1586
e-mail:
Publications Teaching CV MAGMA Photo
LCA groups courseSpirit of enquiry lectures in mathematics at IIT Madras
Lectures on Weil representation and the Howe duality correspondence by Dipendra Prasad
Research

Mostly on representation-theoretic problems that are motivated by questions in number theory.

Specific research interests include automorphic forms, homomgenenous spaces associated to buildings, representation theory of linear algebraic groups over non-Archimedean local fields, structure and representation theory of general linear groups over discrete valuation rings, Heisenberg groups, Weil representations, inductive algebras, homogeneous operators.

Selected recent work
  1. Locally compact abelian groups with symplectic self-duality, with Ilya Shapiro and M. K. Vemuri.
  2. Inductive algebras and homogeneous shifts, with M. K. Vemuri. Compl. Anal. Oper. Theory (Online First).
  3. Ultrametric logarithm laws I, with Jayadev Athreya and Anish Ghosh. Discrete Contin. Dynam. Syst. Ser. S, 2:337-348, 2009.
  4. 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.