I am a fourth year PhD student in the Department of Mathematics at the University of Toronto. My supervisor is Prof. Yevgeny Liokumovich. Here is my CV.

Recently, I have been interested in the connections between two areas of geometry: minimal surfaces theory (in particular min-max theory) and spectral geometry (in particular nodal geometry). Minimal surfaces and nodal (zero) sets of Laplace eigenfunctions on Riemannian manifolds exhibit many striking analogies: asymptotic Weyl laws, multiplicity-one theorems, density on the manifold and etc. The question that motivates me is rather philosophical: What is the source of these similarities? Is there a deeper theory or principle that explains them? For more background and some results in this direction, see my recent paper. Feel free to reach out if you would like to discuss!

My research is partially supported by Ontario Graduate Scholarship (OGS), University Doctoral Excellence Award (UDEA) and Dr. Sergiy and Tetyana Kryvoruchko Graduate Scholarship in Mathematics.

I am currently a co-organizer of the Graduate student seminar. Please feel free to reach out if you would like to give a talk!

Upcoming talks: Geometry and Topology seminar at the University of Toronto (October 26); Geometry seminar at Stanford University (November 4); Geometric analysis seminar at the University of Chicago (November 10).

I honour the memory of the Kazakhs who suffered during the Asharshylyk, the political repressions of the 1930s, the Second World War, the Semipalatinsk nuclear tests, and the Jeltoqsan uprising, and those whose strength and dignity preserved our heritage through these hardships.