My research interests are primarily in low-dimensional topology and geometric/topological data analysis.
Publications and Preprints:
A Combinatorial Description of the Knot Concordance Invariant Epsilon
(Joint with S. Dey)
Journal of Knot Theory and Its Ramifications, (30) , 2021
Published Version and arXiv Version
Computing knot groups via grid diagrams (in preparation)
(Undergraduate collaboration with E. Aktener) as part of DRP Turkey program
Knot Concordance Groups and Their Relations (M.Sc. Thesis)
I often use grid homology construction
in my research!
An animated "slice movie" for Stevedore's knot!
A schematic picture of the slice disk that the knot
bounds in 4-ball.