John Wesley Young Research Instructor
Department of Mathematics
Dartmouth College
Hanover, NH 03755

Office: 310 Kemeny Hall
Email: mikmet.ahsin(at)dartmouth(dot)edu

About me

Since 2021 I am a postdoc at Dartmouth College, working in the topology group. Prior to that I did my PhD at the Higher School of Economics, Moscow under the supervision of Petya Pushkar. Here is my CV.

My research is in differential and symplectic topology. That is to say, I am interested in smooth and symplectic manifolds from the topological perspective. More specifically, I study Morse theory in its various flavors (e.g. parametric and infinite-dimensional) as well as K-theoretic invariants such as Reidemeister torsion. For this I often use tools from persistent homology. Lately I have also been applying these tools in knot theory.

Preprints and publications

• On the differential matrix in the Morse complex, with Petya Pushkar.
  Russian Math. Surveys 77 (2022), no. 5, 943-945.
• Bruhat numbers of a strong Morse function, with Petya Pushkar.
  Dokl. Math. 106 (2022), no. 3, 454-457.
• Enhanced Bruhat decomposition and Morse theory, with Petya Pushkar.
  Int. Math. Res. Not. IMRN (2023), no. 19, 16837-16903.
• Using knot Floer invariants to detect prime knots, with Samantha Allen, Charles Livingston and C.-M. Michael Wong.
  Submitted for publication.
  Available at arXiv:2311.11089.

Teaching