Research

I am a Research Fellow at Korea Institute for Advanced Study. My mentor is Professor Young-Hoon Kiem. I completed my PhD from Indian Institute of Technology Bombay under the supervision of Professor Ronnie Sebastian. My broad area of interest is Algebraic Geometry. Particularly Moduli spaces of sheaves, Quot schemes and Hilbert schemes. 

Here is my CV. 

Here is a list of my Publications.

Invited Talks and Conference Presentations

• Irreducibility of some Quot schemes on Nodal curves. February 2025,  Discussion Meeting on Algebraic Geometry, TIFR, Mumbai, India.

• Irreducibility of some Quot schemes on Nodal curves. December 2024,  Algebraic Geometry Symposium in RMS 39th annual conference, CHRIST (Deemed to be University), India. Slides.

• Irreducibility of some Quot schemes on Nodal curves. November 2024, Harish-Chandra Research Institute, India. Slides. 

• Irreducibility of some Quot schemes on Nodal curves. Moduli stacks and enumerative geometry (EMGW05), June 2024, Isaac Newton Institute for Mathematical Sciences, Cambridge. Poster.

• Irreducibility of some nested Hilbert Schemes. The Geometry of Hilbert Schemes of Points (GHiSP), May 2024, Levico Terme (TN), Italy. Slides.

• Irreducibility of some nested Hilbert Schemes.  November 2023, Chennai Mathematical Institute, India. 
  
  

Here are some articles, where I tried to write up some of the topics I have learnt after joining my Ph.D.

• 27 lines on a smooth cubic Hypersurface

• Bezouts Theorem for planar curves.

• De Rham Cohomology computations of some familiar spaces.