Mathematics Research

I was an Assistant Professor at Chennai Mathematical Institute from May 2016 to March 2020. Prior to that I did Postdocs at TIFR Bombay and at CMI. I received my PhD in October 2013 from Rutgers University under the supervision of Anders Buch. I am primarily interested in Schubert calculus and algebraic combinatorics. In particular, I study the K-theory, equivariant cohomology, and quantum cohomology of Grassmannians and their generalizations.


Publications

For the most up-to-date information on my mathematical publications, see my arXiv page.

  • A geometric proof of an equivariant Pieri rule for flag manifolds, with C. Li, F. Sottile, and M. Yang, Forum Mathematicum Volume 31, Issue 3 (May 2019), 779--785.
  • The cotangent bundle of a cominuscule Grassmannian, with V. Lakshmibai and W. Slofstra, Michigan Math Journal Volume 65, Issue 4 (2016), 749--759.
  • Equivariant Pieri rules for isotropic Grassmannians, with C. Li, Mathematische Annalen 365 (2016), 881--909.
  • Triple intersection formulas for isotropic Grassmannians, Algebra and Number Theory 9-3 (2015), 681--723.
  • Pieri rules for the K-theory of cominuscule Grassmannians, with A. Buch, Journal für die reine und angewandte Mathematik 668 (2012), 109--132.
  • Lactase persistence and lipid pathway selection in the Maasai, with G. Alexe, A. Bhatia, M. Boemo, A. Reddy, M. Seiler, K. Wagh et al., PLOS One 7-9 (2012):e44751.