Alexander Ivanovich Efimov
- Alexander Ivanovich Efimov has been at HSE University since 2010.
Education and Degrees
- 2011
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Steklov Mathematical Institute of the Russian Academy of Sciences - 2010
Degree
Lomonosov Moscow State University - 2009
Degree
Independent University of Moscow
* 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.
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.
Student Term / Thesis Papers
- Master
M. Pochekai «On the Derived Category of Some Kronecker Moduli Space». Faculty of Mathematics, 2019
S. Makarova «Description of the Derived Category of a Certian Kronecker Moduli Space». Faculty of Mathematics, 2017
Conferences
- 2016
Geometry and Physics: Mirror symmetry, Hodge theory, and related topics (Майами). Presentation: Categorical formal punctured neighborhood of infinity
Columbia Algebraic Geometry Seminar (Нью-Йорк). Presentation: Categorical formal punctured neighborhoods of infinity
Algebraic Geometry in Mexico 2016 (Мехико). Presentation: Logarithmic Hochschild complex (Логарифмический комплекс Хохшильда)
- 2015Derived Categories and Birational geometry (Уорвик). Presentation: докладом Generalized Hochschild-to-cyclic degeneration
Algebraic Geometry in Mexico (Мехико). Presentation: Homotopy finiteness of derived categories of coherent D-modules (Гомотопическая конечность производных категорий когерентных D-модулей)
- 2014Conference on Homological Mirror Symmetry (Coral Gables). Presentation: Noncommutative Hitchin system
- Landau-Ginzburg Theory and Fano Varieties (경주시 (Gyeongju)). Presentation: DG categorical Hitchin system
- Algebra, Geometry and Physics: a conference in honour of Maxim Kontsevich (Париж (Paris)). Presentation: Relative derived categories and matrix factorizations
- Frontiers of Rationality (Longyearbyen). Presentation: Noncommutative Hitchin System
- Традиционная зимняя сессия МИАН–ПОМИ, посвященная теме «Алгебраическая геометрия, К-теория и мотивы» (Санкт-Петербург (Saint-Petersburg)). Presentation: Геометрические DG категории и некоммутативные K-мотивы
- 2013Российско-японская зимняя школа (Москва). Presentation: Homotopy finiteness of DG categories from algebraic geometry (3 lectures)
- Conference on Homological Mirror Symmetry (Майами). Presentation: Homotopy finiteness of DG categories from algebraic geometry
- Third Latin Congress on Symmetries in Geometry and Physics (São Luís, Maranhão). Presentation: Homotopy finiteness of DG categories from algebraic geometry
- Third Latin Congress on Symmetries in Geometry and Physics (São Luís, Maranhão). Presentation: Derived categories of Grassmannians over integers and modular representation theory
- Workshop "DT-invariants in Paris" (Париж). Presentation: Topological Hochschild homology of the second kind and Wieferich primes
- Workshop "Quantum and motivic cohomology, Fano varieties and mirror symmetry" (Санкт-Петербург (Saint-Petersburg)). Presentation: Maclane (co)homology of the second kind and Wieferich primes
- Complexity and Categories (Вена). Presentation: DG-categorical dynamics
Publications19
- Article Efimov A. I. Cyclic homology of categories of matrix factorizations // International Mathematics Research Notices. 2018. No. 12. P. 3834-3869. doi
- Article Efimov A. I. Some remarks on L-equivalence of algebraic varieties // Selecta Mathematica, New Series. 2018. Vol. 24. No. 4. P. 3753-3762. doi
- Article Efimov A. I. Derived categories of Grassmannians over integers and modular representation theory // Advances in Mathematics. 2017. Vol. 304. P. 179-226. doi
- Article Efimov A. I. Mac Lane (co)homology of the second kind and Wieferich primes // Journal of Algebra. 2016. Vol. 467. P. 80-154. doi
- Article Efimov A. I., Positselski L. Coherent analogues of matrix factorizations and relative singularity categories // Algebra and Number Theory. 2015. Vol. 9. No. 5. P. 1159-1292. doi
- Preprint Efimov A. I. Mac Lane (co)homology of the second kind and Wieferich primes / Cornell University. Series math "arxiv.org". 2015.
- Preprint Alexander I. Efimov. Derived categories of Grassmannians over integers and modular representation theory / Cornell University. Series math "arxiv.org". 2014.
- Article Alexander I. Efimov. Maximal lengths of exceptional collections of line bundles // Journal of London Mathematical Society. 2014. Vol. 90. No. 2. P. 350-372.
- Preprint Positselski L., Efimov A. I. Coherent analogues of matrix factorizations and relative singularity categories / Cornell University. Series math "arxiv.org". 2013. No. arXiv:1102.0261.
- Article Abouzaid M., Auroux D., Efimov Alexander I., Katzarkov L., Orlov Dmitri. Homological mirror symmetry for punctured spheres // Journal of the American Mathematical Society. 2013. Vol. 26. No. 4. P. 1051-1083.
- Preprint Efimov A. I. Homotopy finiteness of some DG categories from algebraic geometry / Cornell University. Series math "arxiv.org". 2013.
- Preprint Efimov A. I. Cyclic homology of categories of matrix factorizations / Cornell University. Series math "arxiv.org". 2012.
- Article Efimov A. I. Homological mirror symmetry for curves of higher genus // Advances in Mathematics. 2012. Vol. 230. No. 2. P. 493-530.
- Article Lunts V., Orlov D. O., Efimov A. I. Deformation theory of objects in homotopy and derived categories III: abelian categories // Advances in Mathematics. 2011. No. 226:5. P. 3857-3911.
- Article Ефимов А. И. Доказательство гипотезы Концевича-Сойбельмана // Математический сборник. 2011. Т. 202. № 4. С. 65-84.
- Article Orlov D. O., Efimov A. I., Lunts V. Deformation theory of objects in homotopy and derived categories II: Prorepresentability of the deformation functor // Advances in Mathematics. 2010. No. 224:1. P. 45-102.
- Article Ефимов А. И. Заметка о зеркальной симметрии для кривых // Успехи математических наук. 2010. № 65:5(395). С. 191-192.
- Article Lunts V., Efimov A. I., Orlov D. O. Deformation theory of objects in homotopy and derived categories I: General theory // Advances in Mathematics. 2009. No. 222:2. P. 359-401.
- Article Efimov A. I. The assymptotics for the number of real roots of the Bernoulli polynomicals // Forum Mathematicum. 2008. No. 20 (2). P. 387-393.
Young Stars of Mirror Symmetry Come Together in Moscow
Mirror symmetry is a relatively new field of mathematics which came into being in the 1990s. In 2017, HSE opened the International Laboratory for Mirror Symmetry and Automorphic Forms. The December conference, ‘Mirror Symmetry and Applications’, was a commemoration of its first year of operation.
