Mikhail Basok

• Mikhail Basok, Konstantin Izyurov, Nesting of double-dimer loops: local fluctuations and convergence to the nesting field of CLE(4), arXiv:2501.01574, pdf

• Mikhail Basok, Dimers on Riemann surfaces and compactified free field, arXiv:2309.14522v2, pdf

• Mikhail Basok, Dmitry Chelkak, Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4), J. Eur. Math. Soc. 23 (2021), 2787-2832, pdf

• Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov, Homology of the pronilpotent completion and cotorsion groups, Israel Journal of Mathematics, Volume 261, pages 281-312, (2024), pdf

• Mikhail Basok, Danila Cherkashin, Nikita Rastegaev, Yana Teplitskaya, On uniqueness in Steiner problem, International Mathematics Research Notices, Volume 2024, Issue 10, May 2024, Pages 8819-8838, pdf

• Mikhail Basok, Danila Cherkashin, Yana Teplitskaya,  Inverse maximal and average distance minimizer problems, arXiv:2212.01903v2, pdf

• Mikhail Basok, On some degeneracy loci in the moduli space of pointed odd spin curves, St. Petersburg Math. J., 32 (2021), 819-845, pdf

•  Mikhail Basok, Discriminant and Hodge classes on the space of Hitchin covers, Letters in Mathematical Physics, 110 (2020), 2659-2674, pdf

•  Mikhail Basok, Tau function and moduli of spin curves, International Mathematics Research Notices, 2015 (2015), 10095-10117, pdf

Starting from 2018 I have been intensively participating in teaching various topics related with mathematical analysis at Saint-Petersburg State University and, after, at University of Helsinki. Both universities are known to produce a high quality education in mathematics. Working in these universities I was able to gain a number of valuable teaching skills and to build a strong base for the forthcoming teaching practice. My previous teaching experience includes the following:

1.   From 2018 to 2021 I have been working as teaching assistant at Saint-Petersburg State University. My teaching activities included various topics in real and complex analysis such as advanced calculus, measure theory, differential calculus, basic Fourier analysis, theory of special functions, theory of holomorphic functions in one complex variable.

2.   In 2022 I have been invited by Jet Brains to give a lecture course in Complex Analysis I for bachelor students participating a program supported by Jet Brains at University of Bremen.

3.   Starting from the fall of 2022 I am performing a teaching at University of Helsinki as a part of my contract obligations. This included a teaching assistance for Harmonic Analysis I (master level) and Probability theory II (bachelor level), and a lecture course Measure Theory I (bachelor level) where I was elected as a lecturer.

In Saint-Petersburg State University, in addition to normal teaching activities, I have participated in organizing advanced seminars for bachelor students. Among those seminars there are:

1.  Advanced program ``Random walk in domino world''. The aim of this course was to introduce basics from discrete complex analysis by studying the properties of the dimer model on the square grid. The course included a series of lectures each followed by exercise sessions.

2. An advanced seminar dedicated to basics of abstract functional analysis. The seminar for designed for 1st or 2nd year bachelor student studying pure mathematics.  Its main aim was to introduce the basics of an abstract functional analysis in exercises. During the course we studied basics about Hilbert and Banach spaces and some standard fact from operator theory.