Alexei Yu. Pirkovskii
- Associate Professor: Faculty of Mathematics
- Alexei Yu. Pirkovskii has been at HSE University since 2010.
- Language Proficiency
- English
- Contacts
- Phone:
+7 (495) 772-95-90
12749 - Address: 6 Usacheva Ulitsa, room 308
- SPIN-RSCI: 2675-0941
- ORCID: 0000-0002-0851-3068
- ResearcherID: S-8762-2016
- Scopus AuthorID: 6507150595
- Google Scholar
- Office hours
- Wednesday 13:00-14:20, Friday 14:30-15:50.
- Supervisor
- A. Skripchenko
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Education, Degrees and Academic Titles
Lomonosov Moscow State University
Thesis Title: The existence problem for injective modules over "classical" topological algebras, and injective homological dimensions
Lomonosov Moscow State University
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Locally convex (in particular Banach) algebras and modules. Homological algebra in categories of topological modules: homological dimensions, Hochschild (co)homology of topological algebras etc. Topological algebras in noncommutative geometry and in quantum group theory.
Awards and Accomplishments
Best Teacher — 2020–2023, 2016–2018, 2011–2012
Courses (2024/2025)
- Harmonic Analysis and Banach Algebras (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Introduction to Discrete Mathematics and Topology (Bachelor’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1-3 module)Rus
- Introduction to Discrete Mathematics and Topology (Bachelor’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1-3 module)Rus
- Introduction to Homotopical Topology (Bachelor’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 4 module)Rus
- K-Theory of C*-Algebras (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics field of study Mathematics; 2 year, 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Master’s programme; Faculty of Mathematics field of study Mathematics; 2 year, 3, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 3, 4 module)Rus
- Past Courses
Courses (2023/2024)
- C*-Algebras and Compact Quantum Groups (Optional course (faculty); 3, 4 module)Eng
- Introduction to Discrete Mathematics and Topology (Bachelor’s programme; Faculty of Mathematics field of study Mathematics, field of study Mathematics; 1 year, 1-3 module)Rus
- Introduction to Homotopical Topology (Bachelor’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics field of study Mathematics; 2 year, 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Master’s programme; Faculty of Mathematics field of study Mathematics; 2 year, 3, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 3, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Optional course (faculty); 3, 4 module)Rus
- Topological Vector Spaces (Optional course (faculty); 1, 2 module)Eng
Courses (2022/2023)
- Functional Analysis 2 (Optional course (faculty); 3, 4 module)Eng
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 3, 4 module)Rus
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Optional course (faculty); 3, 4 module)Rus
- Research Seminar "Harmonic Analysis and Unitary Representations" (Optional course (faculty); 1, 2 module)Eng
Courses (2020/2021)
- Functional Analysis 2 (Operator Theory) (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Introduction to Functional Analysis (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "C*-Algebras and Compact Quantum Groups" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Functional Analysis and Noncommutative Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Editorial board membership
Conferences
- 2021
Additive categories between algebra and functional analysis. Presentation: Flat locally convex modules beyond the metrizable case
- 2018
Paweł Domański Memorial Conference, July 1-8, 2018 (Będlewo). Presentation: Dense quasi-free topological subalgebras of the Toeplitz algebra
Conference on Partial Differential Equations and Applications in Memory of Professor B. Yu. Sternin (Москва). Presentation: Dense quasi-free subalgebras of the Toeplitz algebra
- 2014
Workshop on Operator Spaces, Locally Compact Quantum Groups and Amenability (Торонто). Presentation: Taylor's functional calculus and derived categories
Joint Meeting of the German Mathematical Society and the Polish Mathematical Society (Познань). Presentation: Taylor's functional calculus and derived categories of Fréchet modules
- 2013
Integrable systems and Quantum symmetries (ISQS-21) (Прага). Presentation: Quantum polydisk, quantum ball, and a q-analog of Poincaré's theorem
Banach Algebras and Applications (Banach Algebras 2013) (Гётеборг). Presentation: Quantum polydisk, quantum ball, and a q-analog of Poincaré's theorem
Supervisor of the following Doctoral theses
- 1V. Balakirev Quantum balls and strict deformation quantization
‘HSE Offers the Opportunity to Study Mathematics Alongside Renowned Mathematicians as Part of a Vibrant Research Community’
HSE University’s Faculty of Mathematics is one of the strongest in Russia, consistently ranking high on global university rankings. Its degree programmes attract the best students, not only from Russia, but also from around the world, by offering them a well-rounded mathematical education and a wide range of learning opportunities. In an interview with HSE News Service, a Master’s student and an HSE alum talk about features of the HSE Master’s Programme in Mathematics.