### 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