Email: artofkot [at] gmail.com
Hi! I am a mathematician working in low-dimensional topology, as a Simons Instructor in Stony Brook starting from September. Take a look at my CV below for more information.
My work is at the intersection of symplectic geometry and low-dimensional topology. I use methods from bordered Heegaard Floer homology and Fukaya categories to study invariants of such objects as 3-manifolds, knots, mapping classes of surfaces.
In particular, these methods yield geometric invariants of 4-ended tangles, in the form of immersed curves on the boundary 4-punctured sphere. Currently, I think about knot theoretic applications of these immersed curve invariants, in the context of Khovanov, Heegaard Floer and instanton Floer theories. Take a look at my research statement and papers below for more details.