Dr. Vaibhav Vaish

Assistant Professor, Mathematical Sciences

Email vaibhav(AT)iisermohali.ac.in
 
Fax +91 172 2240266
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Research Area
 Algebraic Geometry

Research Focus

Presently I have been interested in the theory of motives a la Grothendieck and a la Voevodsky. I have been particularly interested in those motives that are natural in the study of Shimura varieties, but many of my constructions are applicable to arbitrary varieties. My work includes construction of specific weight truncations in the motivic categories, and in turn has consequences for Shimura varieties. I have also proposed new ways to glue t -structures and weight structures which has broader applications.


Selected Publications
  • Weightless cohomology of algebraic varieties (jointly with A. Nair), Journal of Algebra 424 (2015) pp. 147-189.
  • Motivic weightless complex and the relative Artin motive, Advances in Mathematics 292 (2016) pp. 316-373.
  • On weight truncations in the motivic setting, Advances in Mathematics 338 (2018), pp. 339-400.
  • Punctual gluing of t-structures, accepted, Manuscripta Mathematica (2019).