I am currently an INSPIRE Faculty Fellow at ISI Kolkata. I did my PhD from TIFR Mumbai under the supervision of Prof. Indranil Biswas.

Email:  sumit.roy061@gmail.com,  sumitroy_r@isical.ac.in

Research: 

Published:

7)  On torsion-freeness of Kähler differential sheaves (with Nilkantha Das), Bulletin of the London Mathematical Society (2024) [Published] [arXiv] 

6) On motives of parabolic Higgs bundles and parabolic connections, Bulletin of Mathematical Sciences (2024) [Published] [arXiv]

5) Picard group of moduli of parabolic Higgs bundles, Communications in Algebra (2023) [Published] [arXiv]

4) Spectral data for parabolic projective symplectic/orthogonal Higgs bundles, Journal of Mathematical Physics 63, (2022)  [Published] [arXiv]

3)  On birational Torelli theorems, Archiv der Mathematik (2022) [Published] [arXiv]

2)  Torelli theorem for the moduli space of symplectic parabolic Higgs bundles,  Bulletin des Sciences Mathématiques (2021)  [Published] [arXiv] 

1)  Hitchin fibration on moduli of symplectic and orthogonal parabolic Higgs bundles, Mathematical Physics, Analysis and Geometry (2020) [Published] [arXiv] 

Preprints:

4) Semiprojectivity and very stability in moduli of symplectic and orthogonal parabolic Higgs bundles , arXiv

3) On some topological equivalences for moduli spaces of G-bundles, arXiv 

2) Topology of moduli of parabolic connections with fixed determinant (with Nilkantha Das), arXiv 

1)  Semiprojectivity of the moduli of principal G-bundles with λ-connections (with Anoop Singh), arXiv

Teaching: 

M.Sc/M.Math Courses:

1) (upcoming) Topology III, ISI Kolkata (Fall 2026)

2) Commutative Algebra, IACS Kolkata (Spring 2026, Spring 2024)

3) Algebra III, IACS Kolkata (Fall 2025, Fall 2024, Fall 2023)

4) Algebra I, ISI Kolkata (Fall 2025)

5) Topology IV, ISI Kolkata (Spring 2024)