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-I  (AY 2025 - 2026):

MA 627 - Algebraic Topology

MA 205 - Calculus of Several Variables (Tutorial)

Recent Publications

• S. Amrutiya and I. Biswas, On semi-finite vector bundles with connection over Kahler manifolds, arXiv:2508.17048, to appear in Proc. Indian Acad. Sci. (Math. Sci.)

• 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, Commun. Algebra (April 2025).

• S. Amrutiya, A. Jaiswal, A gauge theoretic aspect of parabolic bundles over real curves, Rocky Mountain J. Math. 55 (2025) 619-635.

• 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.