Prerak Deep

Welcome to my homepage!

I am Prerak Deep. I have recently submitted my PhD thesis and looking for Academic/ Research Position at various universities/ institutions. My PhD thesis title is Round Surgery Presentations of a Closed Oriented 3-manifold and its Contact Analogue. I worked under the guidance of Dr. Dheeraj Kulkarni, Assistant Professor, IISER Bhopal during my PhD tenure. 

My research interest lies in contact manifolds, surgeries on 3-manifolds and Kirby calculus. Recently, I have worked on round surgeries on 3-manifolds and their contact analogue, the contact round surgery. We introduced the combinatorial framework in terms of framed links for round surgeries on 3-sphere. I am also interested in Legendrian virtual knots and Lagrangian surface knots in four dimensional Euclidean space.