Research

Research Interests:

Broadly Geometry and Topology. In particular, I am working on problems in Contact and Symplectic Topology.

Publications and Preprints:

Research articles

• 1. On Rack Invariants for Legendrian Knots, Preprint, arXiv:1706.07626 [math.GT], Dheeraj Kulkarni and T. V. H. Prathamesh.

  2. Minimal Contact Triangulations of 3-manifolds, Preprint, arXiv:1608.03823v1 [math.GT], Basudeb Datta and Dheeraj Kulkarni.

  3. Planar contact manifolds with vanishing Heegaard Floer Contact Invariants , Topology and its Applications, 56:197- 210, 2013. James Conway, Amey Kaloti and Dheeraj Kulkarni.

  4. Relative Symplectic Caps, 4-Genus and Fibered Knots. Proceedings of Mathematical Sciences (Indian Academy of Sciences), Vol. 126, No. 2, May 2016, pp. 261–275, Siddhartha Gadgil and Dheeraj Kulkarni.

Books/Reports/Chapters/General Articles:

1. Survey article on “ Review of Symplectic and Contact Topology” to appear in Special edition of Indian Journal of Pure and Applied Mathematics. Joint with Mahuya Datta.

2. A chapter titled “Homology” in the book “Topology and Condensed Matter Physics” to be published soon by Hindustan Book Agency.

3. Review of the Mathematical Animation series “Dimensions” created by Jose Leys, Etienne Ghys and Alvarez, Published in At Right Angles, a publication of Azim Premji University, Bangalore. Vol. 2, No. 2, July 2013.

Presentations:

1. Talk On "Career Opportunities in Mathematics" can be found here