Research

I have been mostly interested in topics from analytical PDE's. Mainly these include infinity harmonic functions and convex integration. Currently I am interested in application and numerics in PDEs especially those relating to fluids.

Summer Report :  

1. Weak Topology and Completion in Sobolev Spaces

2. Fractional Maps in Cryptography

• Lipschitz Extension Problem (Masters Thesis Defence), IISER Pune, June 2021.

• Infinity Harmonic Functions and Calculus of Variations, Analysis and Geometry Seminar, Math Department IIT Gandhinagar, Jan 2022.

You can find a brief description of my past projects in my CV.