Notes

This section contains my expository notes, high-school course materials, and links to more detailed legacy pages from the old site.

• Papers with abstracts
• Expository notes
• Expository notes in Russian
• High-school courses

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.

• Stable Moduli Spaces of Hermitian Forms. A review.

• Two approaches to homological stability of symmetric groups.

• Cohen–Jones–Segal realization and Floer theory.

• Notes on Koszul duality for operads

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…

• Automorphisms of simplicial toric varieties (after D.Cox)

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)