I taught a bunch of "special courses" (mostly one-semester) on various topics. Here are the lecture notes (all of them are in Russian).

• Fall 2016: Algebraic Geometry. Lecture notes.
• Fall 2016: Category Theory (for master's students specialising in Pure Mathematics). Syllabus.
• Spring 2016: Mini-course on Lie Algebras for second-year students. Syllabus, Problems.
• Spring 2016: Galois Theory (elective course for mechanics students). Lecture notes, see also the git repository.
• Spring 2016: Topological K-Theory (supported by the Chebyshev Laboratory). Lecture notes.
• Fall 2015: Category Theory (for master's students specialising in Pure Mathematics). Lecture notes.
• Spring 2015: Complex Analysis For Algebraists (supported by the Chebyshev Laboratory). Lecture notes.
• Spring 2015: Cryptography (for bachelor students specialising in Pure Mathematics). Lecture notes, Syllabus, Problems.
• Fall 2014: Lie Groups And Lie Algebras (elective course). Lecture notes.
• Spring 2014: Algebraic K-Theory For The Little Ones (supported by the Chebyshev Laboratory). Lecture notes.
• Fall 2013: Model Theory (supported by the Chebyshev Laboratory). Lecture notes.
• Spring 2013: Introduction To Intersection Theory And Chow Motives. Lecture notes.
• Fall 2012: Mathematical Analysis For Algebraists. Lecture notes.
• Spring 2012: Galois Theory (elective course for mechanics students). Lecture notes.
• Fall 2011–Spring 2012: Category Theory, joint with Nikolai Vavilov (for first-year students). Lecture notes.
• Fall 2011: Affine Group Schemes. Lecture notes.
• Spring 2010: Algebraic Theory Of Quadratic Forms. Lecture notes, Problems, see also the git repository.