Alexander S. Tikhomirov
- Research Professor: Faculty of Mathematics
- Alexander S. Tikhomirov has been at HSE University since 2012.
- Language Proficiency
- English
- Contacts
- Phone:
+7 (495) 772-95-90
12753 - Address: 6 Usacheva Ulitsa, room 313
- SPIN-RSCI: 8397-9693
- ORCID: 0000-0003-3647-0162
- ResearcherID: A-6616-2015
- Scopus AuthorID: 14042700700
- Google Scholar
- Office hours
- Thursday (by appointment) 15:00-16:30Friday (by appointment) 13:30-14:50
- Supervisor
- A. Skripchenko
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Education, Degrees and Academic Titles
Moscow Institute of Physics and Technology
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.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Supervisor of the following Doctoral theses
- 1Geometry of moduli spaces of stable sheaves on rational Fano varieties, 2024
- 2A. Lavrov Geometry of moduli spaces of semistable rank 2 sheaves on projective space, 2021
- 3Modules of rank 3 sheaves on Fano varieties of the main series
Courses (2025/2026)
- Research Seminar "Projective Algebraic Geometry 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 2" (Optional course (faculty); 3, 4 module)Rus
- Smooth Structures on Manifolds (Optional course (faculty); 1, 2 module)Rus
Courses (2024/2025)
- Research Seminar "Projective Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Smooth Structures on Manifolds (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Past Courses
Courses (2023/2024)
- Introduction to Sheaf Theory (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 2" (Optional course (faculty); 3, 4 module)Rus
Courses (2022/2023)
- 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 Sheaf Theory (Optional course (faculty); 1, 2 module)Eng
- Research Seminar "Projective Algebraic Geometry 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 2" (Optional course (faculty); 3, 4 module)Rus
Courses (2021/2022)
- Mathematics of Science (Master’s programme; Faculty of Mathematics field of study Mathematics; 1 year, 1, 2 module)Eng
Courses (2020/2021)
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics field of study Mathematics; 4 year, 1 module)Rus
- Research Seminar "Geometric Introduction to Algebraic Geometry" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Projective Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Projective Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Smooth Structures on Manifolds" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Conferences
- 2022
Bandoleros 2022: VI Algebraic Geometry Meeting, May, 11-13, 2022, (Анкара). Presentation: New moduli componentы of rank 2 bundles on projective space
Алгебра и геометрия: конференция, посвященная 70-летию В. С. Куликова (Москва). Presentation: Модули пучков ранга два с нечетным детерминантом на проективном пространстве
New Perspectives on Hyperkaehler Manifolds, June 13-17, Levico Terme, Trento, Italy (Тренто). Presentation: Moduli components of semistable rank two sheaves with odd determinant and small charge on projective space
- 2021
Bandoleros 2021: V Algebraic Geometry Summer meeting, February, 8-12, 2021 (Флорианополис). Presentation: Construction of symplectic vector bundles on projective space P3
- 2020
Algebraic Geometry Seminar (Univ. Lille-1). Presentation: Series of rational components of the moduli space of stable rank two sheaves on projective space
Seminar on Algebra, Geometry and Physics (MPIM, Bonn, Germany) (Бонн). Presentation: Construction of stable rank 2 sheaves on projective space
- 2019
Integrable systems and automorphic forms (Лилль). Presentation: New series of moduli spaces of stable bundles and sheaves on projective space
Seminar on Algebra, Geometry and Physics (Бонн). Presentation: New results in geography and geometry of moduli spaces of stable rank 2 sheaves on projective space
- 2017
Seminar on Algebra, Geometry and Physics. Presentation: Infinite series of rational moduli components of stable rank two sheaves on projective space
Seminar on Algebra, Geometry und Computer Algebra (Kaiserslautern). Presentation: On the moduli spaces of stable rank two coherent sheaves on projective space
Algebraic Geometry Seminar ( Lille-1) (Лилль). Presentation: Infinite series of rational moduli components of stable rank two vector bundles on projective space
VI школа-конференция по алгебраической геометрии и комплексному анализу для молодых математиков России (г. Коряжма, Архангельская область). Presentation: Новые конструкции стабильных расслоений ранга два на проективном пространстве
- 2016
Еженедельный семинар Лаборатории алгебраической геометрии (Москва). Presentation: О географии пространства модулей полустабильных пучков ранга 2 на проективном пространстве
- 2015
Moduli Spaces in Geometry (Люмини). Presentation: Moduli components of semistable rank-2 sheaves on projective space
Moduli Spaces in Geometry (Люмини). Presentation: Torsion free sheaves with zero dimensional singularities