Research
Research
My research interests are symplectic topology / dynamics and enumerative geometry.
In the symplectic world, I like thinking about holomorphic curves, foundational aspects of their moduli, as well as applications to the topology / dynamics of symplectic / contact manifolds.
In enumerative geometry, my work revolves around applications of moduli theory for counting curves with singularities.
I am also vaguely interested in mathematical / theoretical physics, and the connections to the kind of math I like.
Publications:
Enumeration of Rational Cuspidal Curves via the WDVV equation; with Indranil Biswas, Ritwik Mukherjee and Anantadulal Paul; published in Experimental Mathematics Vol. 00, No. 0 (2025) (arxiv)
Counting curves with tangencies; with Indranil Biswas, Ritwik Mukherjee and Anantadulal Paul; published in SIGMA 21 (2025), 012, (arxiv)
Counting rational curves with an m-fold point; with Indranil Biswas, Chitrabhanu Chaudhuri, Ritwik Mukherjee, and Anantadulal Paul; published in Advances in Mathematics, Vol. 431 (2023) (arXiv)
Preprints:
On a fiber bundle version of the Caporaso-Harris formula, with Indranil Biswas, Nilkantha Das, and Ritwik Mukherjee (arxiv)
Extending Wendl's stratification to compactified Gromov-Witten moduli spaces (ongoing).