V i d e o s
Limit shapes of probability measures in representation theory of Uq(sl2) at roots of unity, BIMSA integrable systems seminar (2025, the first minute of the video is a bit laggy)
Towards Ẑ invariant from infinite-dimensional representations of Uq(sl2) , School in Mathematical Physics at University of Edinburgh (2024)
N o t e s a n d s l i d e s
Slides for the talk in Limit shapes of probability measures in representation theory of quantum groups at roots of unity, BIMSA integrable systems seminar (here)
Slides for the talk on Ẑ invariant from q6j-symbols for Verma modules, GCS Colloquium at Harvard University (here)
Slides for the talk on Universal construction, foams and link homology, Quantum topology seminar at UIC (here)
Slides for the talk on Limit shape phenomena in representation theory of quantum groups at roots of unity, GRTW at YMSC (here)
Lecture notes on Mathematical Aspects of Classical and Quantum Mechanics course, Tsinghua University (here)
Slides and related materials on a user-friendly introduction to the category theory on the example of 2TQFT, Student seminar at IUB (here and here)
My old notes on classification of Lie algebras, definition of Hopf algebras and quantum groups, crystal bases, in Russian (here)
My old notes on XXX1/2 spin chain and algebraic Bethe ansatz, in Russian (here)
My old notes on integrability in AdS/CFT correspondence for IIB string theory in AdS5xS5 and N=4 SYM, in Russian (here)
My publication from some conference for math and physics teachers, devoted to phenomenological Epoche in teaching mathematics at schools and universities, in Russian (here)
A student project done by M. Tsimokha, A. Nikitina and V. Igoshin, which I supervised when I was working at ITMO University, devoted to studying bouncing droplets (here)
T a l k s
"Limit shapes of probability measures in representation theory of Uq(sl2) at roots of unity", Representation theory seminar, SIMIS, 2025
"Towards Z invariant from infinite-dimensional representations of Uq(sl2)", China-India-UK School in Mathematical Physics, ICMS, University of Edinburgh, 2025
"Limit shapes of probability measures in representation theory of quantum groups at roots of unity", International Congres for Basic Science, BIMSA, 2025
"Limit shapes in representation theory of quantum groups at roots of unity", RTISART-2025, BIMSA, 2025
"Towards Z invariant from q6j-symbols for Verma modules", Global Categorical Symmetries Postdoc and Student Colloquium, Simons collaboration on GCS, Harvard University, 2024
“Universal construction, foams and link homology”, Quantum topology seminar, University of Illinois Chicago, 2024
“Universal construction, foams and link homology”, Knots and representation theory seminar, Moscow State University, 2024
“Clebsch-Gordan and Racah-Wigner coefficients for the positive representations of the modular double Uqq ̃(sl2(R))”, Quantum cluster varieties and representation theory seminar, Tsinghua University, 2023
“Asymptotic representation theory of quantum groups at roots of unity”, Geometric Representation Theory Workshop, Tsinghua University, 2023
“Tensor powers of vector representation of Uq(sl2) at roots of unity”, ALGEULER Lie algebras summer school, EIMI, 2022
“Classification of tilting modules for quantum groups”, Seminar on Integrable Probability, PDMI, 2022
“Schur-Weyl duality for Temperley-Lieb algebra and Uq(sl2) at roots of unity”, Seminar on Integrable Probability, PDMI, 2022
“Multiplicities of irreducible and indecomposable components in large tensor powers of representations of Uq(sl2) at roots of unity and random walks”, Saint Petersburg Seminar on Representation theory and Dynamical Systems, PDMI, 2019
“The limit shape phenomena in representation theory of quantum groups”, International School of Subnuclear Physics, Sicily, Italy, 2019
“Global embeddings of BTZ and Schwarzschild-AdS metrics and their geometric properties”, OpenScience Forum, Gatchina, 2019
“Global isometric embeddings of AdS black holes in a flat space”, VI International Conference “Models in Quantum Field Theory”, 2018
“Crystal bases for spin chains in the AdS/CFT correspondence”, International Conference “Science and Progress”, 2018
“Hopf algebras and quantum groups”, Pre-CQIS Summer School on Theoretical and Mathematical Physics, Center for Advanced Studies, Skoltech, 2018
T e a c h i n g
Mathematical Aspects of Classical and Quantum Mechanics(Fall 2023), Teaching assistant at Qiuzhen College, Tsinghua University
Summer course on differential equations(July 2022), Lecturer at Department of Biology, Shenzhen MSU-BIT University
Quantum Mechanics(Fall 2022), Teaching assistant at Department of Physics, Saint Petersburg State University
Mathematics for Economics and Business(Fall 2021), Lecturer at Department of Management, Saint Petersburg State University
Classical mechanics(Fall 2019, Fall 2020), Teaching assistant at Department of Physics, ITMO University
Thermodynamics(Fall 2019, Fall 2020), Teaching assistant at Department of Physics, ITMO University
Electricity and magnetism(Spring 2019, Fall 2019), Teaching assistant at Department of Physics, ITMO University
Optics and quantum mechanics(Spring 2020), Teaching assistant at Department of Physics, ITMO University
Other teaching experience:
Teaching at UNICHANCE center. The main aim of this center was to promote access to higher education for students and their teachers from regions with limited educational resources. My responsibilities included: giving talks at workshops in mathematics and physics for high school students preparing for the Unified State Examination, giving talks at workshops for school teachers on methodologies for Unified State Exam preparation, giving expository lectures on undergraduate-level mathematics topics for high school students.
Private tutoring: physics and mathematics for high school students, linear algebra, analysis, probability theory and statistics for undergraduate students.