Research
My research focuses on problems on algebraic (nonlinear) differential equations. In particular, I study algebraic differential equations in the framework of differential Galois theory and algebraic geometry. Recently, I started working on the model-theoretic concept of internality of differential systems to understand relations between their solutions and constants. My work also include questions concerning the integration in (finite) terms of special functions that arise as solutions of differential equations.
Publications and Preprints
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
Strongly normal extensions and algebraic differential equations, with Varadharaj Ravi Srinivasan
Submitted, arXiv, 2025
A note on internality of certain differential systems, with Varadharaj Ravi Srinivasan
Submitted, arXiv, 2025