Current research interests
I am interested in algebraic Geometry, homotopy theory and homotopy type theory or univalent foundations.Selected Preprints/Publications
- A1-connected components of schemes (with Chetan Balwe and Anand Sawant) Adv. Math. 282 (2015) 335-361.
- Fundamental group of quotient singularities (with Indranil Biswas). IMRN no. 5 (2015) 1421-1444.
- Remark on characteristic p analogue of Hesselholt's conjecture (with Supriya Pisolkar). Acta Arith. 158 (2013), no. 2, 165-171.
- Brauer group of the desingularization of moduli spaces of vector bundles over a curve (with I. Biswas, Y. Holla). Cent. Eur. J. Math. 10 (2012), no. 4, 1300-1305. (2012).
- On the cohomology of Witt vectors of p-adic integers and a conjecture of Hesselholt (with Supriya Pisolkar). J. Number Theory 131 (2011), no. 10, 1797-1807,
- Birational Invariance of the $S$-fundamental group scheme (with Vikram Mehta) Pure and Applied Mathematical Quarterly. Volume 7 Number 4. (Special issue: In memory of Eckart Viehweg) (2011). 1361-1369.
- On the algebraic fundamental group of smooth varieties in characteristic $p>0$ (with Hélène Esnault) Trans. Amer. Math. Soc. 364 (2012), 2429-2442
- Brauer group of Moduli Spaces of PGL(r)-Bundles over a curve (with Indranil Biswas). Adv. Math. 225 (2010), no. 5, 2317-2331.
- Degenerations of Rationally Connected Varieties.(with Chenyang Xu) Trans. Amer. Math. Soc. 361 (2009), no. 7
- Products of Brauer Severi Surfaces. Proc. Amer. Math. Soc. 137 (2009), no. 1