Hi! Welcome to my page.
I am a research associate at the Statistics and Mathematics Unit, Indian Statistical Institute Kolkata, India since October 2024. I received my doctoral degree in 2024 from the Indian Institute of Science Education and Research (IISER), Bhopal, India. My doctoral thesis ''On the Jones Polynomial, Khovanov Homology and the Cost Function Associated with Legendrian Knots in (R3,ξst)'' was supervised by Dr. Dheeraj Kulkarni.
My research interests lie in low-dimensional topology, knot theory and contact geometry. My doctoral thesis contains two projects on the classification of Legendrian knots in the Euclidean 3 space with the standard tight contact structure. My current projects focus on constructing a graph invariant for Legendrian knots and exploring contact surgery numbers of contact 3-manifolds.
Pronouns: She/her
A copy of my CV can be found here.
A copy of my doctoral thesis can be found here.
Tight contact: monika18@iiserb.ac.in
Overtwisted contact: monika.yadav9413@gmail.com