http://www.math.iitb.ac.in/~jkv/

Department of Mathematics

Indian Institute of Technology Bombay

J. K. Verma

Research: Rees algebras and mixed multiplicities were introduced by Rees in the fifties. In 1987, I found an interesting connection between them which led to several papers identifying Cohen-Macaulay Rees algebras by computing the Hilbert function of their maximal homogenous ideal.

Besides Rees algebras and Hilbert functions, I have also worked on Zariski\'s theory of complete ideals, face rings of simplicial complexes, local cohomology, bounds on a-invariants, fiber cones, joint reductions and form rings and polytopes.