A J Parameswaran – Visiting Professor
📧 param@ksom.res.in
Room: S-1
Prof. A. J. Parameswaran is a Visiting Professor at the Kerala School of Mathematics. His research spans a wide range of topics in algebraic geometry, with particular emphasis on vector bundles, moduli spaces, ramified coverings, orbifolds, and sheaf-theoretic methods.
His work has significantly shaped current understanding in the geometry of principal and parabolic bundles, Ulrich bundles, Frobenius semistability, and genuinely ramified maps. He has published extensively in top journals and collaborates actively with several leading mathematicians in India and abroad.
Selected Recent and Impactful Publications
- Ulrich bundles on double covers of projective spaces (with N. Mohan Kumar and P. Narayanan), J. Pure Appl. Algebra, 2025.
- Characterization of genuine ramification using formal orbifolds (with I. Biswas and M. Kumar), Ark. Mat., 2024.
- Some results on the compactified Jacobian of a nodal curve (with U. Bhosle), Indian J. Pure Appl. Math., 2024.
- Ramified covering maps and stability of pulled-back bundles (with I. Biswas), Int. Math. Res. Not. IMRN, 2022.
- Thom irregularity and Milnor tube fibrations (with M. Tibăr), Bull. Sci. Math., 2018.
- Monodromy group for a strongly semistable principal bundle over a curve (with I. Biswas and S. Subramanian), Duke Math. J., 2006.