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.
Publications
(Preprints)
(Publications: Mathematics)
Punctual gluing of t-structures, accepted, Manuscripta Mathematica(2019) [ preprint | arXiv:1705.00790 ].*
On weight truncations in the motivic setting, Advances in Mathematics 338 (2018): 339-400 [ preprint | arXiv:1705.00789 ].*
* (The two articles above supersede the original manuscript, On weight truncations in the motivic setting, 2017).
Motivic weightless complex and the relative Artin motive, Advances in Mathematics 292 (2016): 316-373 [ preprint ].**
Weightless cohomology of algebraic varieties (jointly with A. Nair), Journal of Algebra 424 (2015): 147-189 [ preprint ].**
** (The two articles above are based on my PhD thesis (2013) (synopsis) plus some more related results and generalizations.).
(Publications: Engineering)
Analytical modeling of single electron transistor for hybrid CMOS-SET analog IC design, S Mahapatra, V Vaish, C Wasshuber, K Banerjee, AM Ionescu, IEEE Transactions on Electron Devices 51, no. 11 (2004): 1772-1782.