This section contains my expository notes, high-school course materials, and links to more detailed legacy pages from the old site.
Expository notes in English
Derived Regularity Theorem for Moduli Spaces of ψ-holomorphic curves (after J. Pardon)
- The purpose of this note is to explain a proof of the derived regularity theorem following the notes of John Pardon. The notes were prepared for a talk at the moduli spaces ψ-holomorphic curves workshop.
Two approaches to homological stability of symmetric groups.
Expository notes in Russian
An informal note on a geometric definition of the Chern classes
- В тексте приводится два подхода к доказательству формулы Уитни для суммы расслоений. Один из них хорошо известен и основан на комбинаторике классов Шуберта в Грассманниане, другой менее известен и основан на интерпретации…
High-school courses
Notes of courses for high school I taught at AESC MSU in 2020–2021.
- Topology basics for high school web-page (in Russian)
- Geometry and groups web-page (in Russian)
- Discrete Differential geometry for high school web-page (in Russian)