Email: artofkot [at] iu.edu
I am a math postdoc at Indiana University, working in low-dimensional topology. Take a look at my CV below for more information.
My work is at the crossroads of symplectic geometry and low-dimensional topology. In particular, 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. Take a look at this brief introduction to my field for more context, and papers below for more details.
- Khovanov homology and the Fukaya category of the 3-punctured disc.
Joint with Liam Watson and Claudius Zibrowius. In preparation.
- Khovanov homology via immersed curves.
Notes based on my talk on the conference "Perspectives on bordered Heegaard Floer theory" in Montreal, May 2018.
- Bordered theory for pillowcase homology.
Submitted, 2017. arXiv:1707.07481
- Comparing homological invariants for mapping classes of surfaces.
Submitted, 2017. arXiv:1702.04071
- Minimal and Hamiltonian-minimal submanifolds in toric geometry.
Master thesis. Journal of Symplectic Geometry 14, no. 2, 431-448, 2016. arXiv:1307.8140
- Fall 2016, Spring 2017: Linear algebra with applications.
Princeton. Review sessions.
Notes — 2.2-9.2 sections of Bretscher textbook + true/false questions training.
- Fall 2015: Linear algebra with applications.
Princeton. Did both lecturing and grading.