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 2026 - 2027):

MA 510 - Topology

Recent Publications

• P. Adroja and S. Amrutiya, Semi-finite vector bundles on comple tori, arXiv:2603.17661 (to appear in Journal of Mathematical Sciences, the University of Tokyo)

• P. Adroja and S. Amrutiya & Riddhi Patil, Smooth relative connections on quiver bundles, arXiv:2602.18781.

• S. Amrutiya and I. Biswas, On semi-finite vector bundles with connection over Kahler manifolds, Proc. Math. Sci. 135 (340) 2025.

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

• 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.