Welcome! 

My research interest broadly lies in the realm of Algebraic Geometry. More precisely, I work on the problems related to vectors bundles and related topics. 

Teaching

Semester-II  (AY 2024 - 2025):

MA 502 - Complex Analysis

Recent Publications

• P. Adroja and S. Amrutiya, Notes on fundamental groupoid schemes, arXiv:2411.09246.

• S. Amrutiya, A. Jaiswal, Hodge decomposition theorem on compact d-Kähler manifolds, arXiv:2406.09312.

• P. Adroja and S. Amrutiya, On an extension of Nori and local fundamental group schemes, arXiv:2306.06861. to appear in Communications in Algebra.

• S. Amrutiya, A. Jaiswal, A gauge theoretic aspect of parabolic bundles over real curves, arXiv:2202.06210. to appear in Rocky Mountain J. Math.

• S. Amrutiya, A. Jaiswal, On d-holomorphic connections, Proc. Indian Acad. Sci. (Math. Sci.) (2023) 133:21 

• S. Amrutiya and U. Dubey, Moduli of parabolic sheaves and filtered Kronecker modules, Kyoto J. Math. 63 (2023), 241-269.

• S. Amrutiya, U. Dubey, Moduli of filtered quiver representations, Bull. Sci. Math. 164 (2020).

• S. Amrutiya, A note on certain Tannakian group schemes, Archivum Mathematicum 56 (2020) pp. 21-29.