Research Area
Algebraic Geometry
Research Interests
I work in algebraic geometry. Most of my work has been in motivic homotopy theory. This is a homotopy theory for varieties in which the affine line plays the role of the unit interval. I am also interested in commutative algebra and algebraic topology.
2004 - 2008 : PhD, University of Pittsburgh
Chetan Balwe, Amit Hogadi and Anand Sawant. Strong $\Bbb A^1$-invariance of $\Bbb A^1$-connected components of reductive algebraic groups. J. Topol. 16(2):634–649, 2023. URL, DOI Chetan Balwe, Amit Hogadi and Anand Sawant. Geometric criteria for $\Bbb A^1$-connectedness and applications to norm varieties. J. Algebraic Geom. 32(4):677–696, 2023. URL, DOI Chetan Balwe and Anand Sawant. $\Bbb A^1$-connected components of ruled surfaces. Geom. Topol. 26(1):321–376, 2022. URL, DOI Chetan Balwe and Anand Sawant. $R$-equivalence and $\Bbb A^1$-connectedness in anisotropic groups. Int. Math. Res. Not. IMRN (22):11816–11827, 2015. URL, DOI