Artem Kotelskiy

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.

  • Curriculum Vitae
  • Research

    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

    Teaching

    • 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.