I am a graduate student in Mathematics at Georgia Tech. My advisor is John Etnyre.
I received my undergraduate and masters degrees from Chennai Mathematical Institute.

Contact Information

Office: Skiles 151
email id: skolay3 (at) gatech.edu
686 Cherry Street
School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160, USA.

Research Interests

I am primarily interested in Geometric Topology, in particular embeddings, knottings and braidings of manifolds.
I also study Contact and Symplectic Geometry.

Publications and Preprints

Piecewise Linear Genaralized Alexander's Theorem in dimension at most 5. arXiv
Subgroups of the mapping class group of the torus generated by powers of Dehn twists. arXiv
Knot Colorings: Coloring and Goeritz matrices. arXiv
Branched covering simply-connected 4-manifolds. Joint with D. Auckly, R. I. Baykur, R. Casals, T. Lidman, and D. Zuddas. arXiv
Lifting branched covers to braided embeddings. arXiv
Braid index of knotted surfaces. In preparation.
On a theorem of Hilden, Lozano and Montesionos. In preparation.
Braiding three manifolds in S3× D2 with branch locus a submanifold. In preparation.
Simple Colorings of pretzel knots. Joint with N. Caplinger . In preparation.


Teaching

I am currently TA for Math 2550 and Math 3406 in Spring 2021.

Mentoring

I have mentored undergraduates in Directed Reading programs and Research Experience for Undergraduates at Georgia Tech.

Directed Reading program

Colorings on Knots, Spring 2019.
Immersions of Discs, Spring 2019.
Curves on the torus, Fall 2019.

Research Experience for Undergraduates

Braid Coloring of Knots, Summer 2018.
Non-left-orderable Surgeries on 1-bridge Braids, Summer 2017.