I am interested in problems in contact and symplectic topology and geometry, low dimensional smooth topology, and knot theory.

Papers and preprints

1. (2023) Embeddings of Rational Homology Balls and Lens Spaces in Complex Projective Space, joint with John Etnyre, Hyunki Min, Lisa Piccirillo. (arxiv) (slides)

2. (2022) Constructions and Isotopies of Higher Dimensional Legendrian spheres, https://arxiv.org/abs/2211.00773, (slides)

3. (2021) Symplectic Fillings and Cobordisms of Lens Spaces, joint with John Etnyre, Transactions of the AMS. arxiv link

My talks

1. Talks on Symplectic Fillings and Cobordisms of lens spaces at NCNGT 2021

Part 2 of the talk available here.

2. A talk at the Symplectic Zoominar hosted between CRM-Montreal, IAS-Princeton, Tel Aviv, and Paris, on Constructions and Isotopies of High Dimensional Legendrian Spheres:

link

This quote I found recently resonated with how I think of math research and how I have managed to do research till now. This is from the book “Catching the Big Fish: Meditation, Consciousness, and Creativity” by David Lynch, which is now on my to-read list thanks to how much I liked this quote.

An idea is a thought. It’s a thought that holds more than you think it does when you receive it. But in that first moment there is a spark. In a comic strip, if someone gets an idea, a lightbulb goes on. It happens in an instant, just as in life.
It would be great if the entire film came all at once. But it comes, for me, in fragments. That first fragment is like the Rosetta stone. It’s the piece of the puzzle that indicates the rest. It’s a hopeful puzzle piece.
…
You fall in love with the first idea, that little tiny piece. And once you’ve got it, the rest will come in time.

(David Lynch)