Research
My research interest lies in low dimensional topology, contact geometry and knot theory. Specifically, I think about classification and structure problems of Legendrian and transverse knots. Legendrian and transverse knots are special objects that lie in the intersection of knot theory and contact topology.
Here are some areas I like to explore-
classification problems of Legendrian and transverse knots.
Structural problems of Legendrian and transverse knots.
connection between Floer homology and contact geometry.
contact structures on branched coverings.
Pseudo-Legendrian links and its application towards Legendrian links.
Preprints /Publications
4. Contact surgery numbers of Sigma(2,3,11) and L(4m+3,4) (joint with Kegel)
preprint arXiv:2404.18177 (submitted)
3. Existence and construction of non-loose knots (joint with Etnyre, Min and Mukherjee).
preprint arXiv:2310.04908 (submitted)
2. Transverse links, open books and overtwisted manifolds .
preprint arXiv:2108.07764
New York J. Math. 29 (2023), 213-230
Links in overtwisted contact manifolds.
preprint arXiv: 2011.12217 .
Expo. Math 40 (2022), 231-248.
Papers in preparation
Transverse invariants in cyclic branched covers. (draft available upon request)
Legendrian Hopf links in L(p,1) ( joint with Geiges and Onaran). In preparation.
Loose pseudo-Legendrian links in 3-manifolds (joint with Cahn and Chernov). In preparation.