Research Interests
Differential Galois theory
Non-linear differential equations
Integration in finite terms
Difference Galois theory
Model theory of differential equations
Research Interests
Differential Galois theory
Non-linear differential equations
Integration in finite terms
Difference Galois theory
Model theory of differential equations
Publications
New and general type meromorphic 1-forms on curves
Communications in Algebra, 1-18, 2025, DOI, arXiv
A classification of first order differential equations (with Ursashi Roy and Varadharaj Ravi Srinivasan)
Journal of Algebra, Volume 644, 580–608, 2024, DOI, arXiv
Liouville's theorem on integration in finite terms for D∞, SL2, and Weierstrass field extensions (with Varadharaj Ravi Srinivasan)
Archiv der Mathematik, Volume 121, Issue 4, 371–383, 2023, DOI, arXiv
In Progress
Liouville's theorem on integration in finite terms for abelian integral and abelian elements (with Sudip Pandit and Varadharaj Ravi Srinivasan).
Seminars/ Talks
I am a regular participant (2021 onwards) in the Kolchin Seminar in Differential Algebra.
April 30, 2021: Attended the Workshop in memory of Ray Hoobler.
April 8, 2023: Spoke at the Graduate Student Seminar (GSG), IISER Mohali, on "Why $e^{-x^2}$ is not integrable?"
February 17-28, 2025: Presented a poster at the school, "Singularities, Differential Equations and Transcendence", held in CIRM, Marseille, France.
May 10, 2025: Delivered a contributed talk at "Young Mathematicians' Symposium, IISER Mohali", titled "New and general type meromorphic $1-$forms on curves".
May 26-30, 2025: Presented a poster at the workshop "Differential Algebra and Related Topics (DART) XIII", organised by the Academy of Mathematics and System Sciences, CAS, Beijing.
October 3, 2025: Spoke at Kolchin Seminar in Differential Algebra (online), titled "Strongly normal extensions and Algebraic differential equations".