Пирковский Алексей Юльевич

Education, Degrees and Academic Titles

2007

Associate Professor

2000

Candidate of Sciences* (PhD) in Real, Complex and Functional Analysis
Lomonosov Moscow State University
Thesis Title: The existence problem for injective modules over "classical" topological algebras, and injective homological dimensions

1997

Degree
Lomonosov Moscow State University

* Candidate of Sciences
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.

Professional Interests

Locally convex topological algebras Locally convex topological modules Homological algebra in categories of topological modules homological dimensions Hochschild (co)homology of topological algebras topological algebras in non-commutative geometry and quantum groups theory

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)

Introduction to Discrete Mathematics and Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-3 module)Rus
Research Seminar "Functional Analysis and Noncommutative Geometry 1" (Master’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Past Courses

Timetable for today

Full timetable

Editorial board membership

2019: Member of the Editorial Board , Функциональный анализ и его приложения (Functional Analysis and Its Applications).

2011: Member of the Editorial Board , European Journal of Mathematics.

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

for a Candidate of Sciences degree

1
V. Balakirev Quantum balls and strict deformation quantization

Membership

Moscow Mathematical Society (since 2002)

American Mathematical Society (since 2003)

8

Apr

2021

‘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.

Alexei Yu. Pirkovskii