Alexey Dmitrievich Elagin
- Research Fellow:Laboratory of Algebraic Geometry and Its Applications
- Alexey Dmitrievich Elagin has been at HSE University since 2009.
Education and Degrees
- 2009
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Thesis Title: Derived categories of equivariant coherent sheaves and coherent sheaves on stacks - 2006
Degree in Mathematics
Lomonosov Moscow State University, Department of Mathematics
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.
Research interests
Geometry of algebraic varieties
Derived categories of coherent sheaves
Equivariant coherent sheaves
Publications15
- Article Xu J., Zhang S., Elagin Alexey. On cyclic strong exceptional collections of line bundles on surfaces // European Journal of Mathematics. 2021. Vol. 7. P. 69-115. doi
- Article Elagin Alexey, Lunts V. Thick subcategories on curves // Advances in Mathematics. 2021. Vol. 378. Article 107525. doi
- Article Elagin A. D., Lunts V. Three notions of dimension for triangulated categories // Journal of Algebra. 2021. Vol. 569. P. 334-376. doi
- Article Elagin A. D., Lunts V., Schnürer O. Smoothness of Derived Categories of Algebras // Moscow Mathematical Journal. 2020. Vol. 20. No. 2. P. 277-309. doi
- Preprint Elagin Alexey, Lunts Valery A. Three notions of dimension for triangulated categories / Cornell University. Series math "arxiv.org". 2019. No. 190109461.
- Article Elagin A., Lunts V. A. Regular subcategories in bounded derived categories of affine schemes // Sbornik Mathematics. 2018. Vol. 209. No. 12. P. 1756-1782. doi
- Preprint Elagin Alexey, Lunts Valery, Schnürer O. Smoothness of Derived Categories of Algebras / Cornell University. Series arXiv "math". 2018. (in press)
- Preprint Alexey Elagin. A criterion for left-orthogonality of an effective divisor on a surface / Cornell University. Series math "arxiv.org". 2016. No. 1610.02325.
- Article Elagin Alexey, Lunts V. On full exceptional collections of line bundles on del Pezzo surfaces // Moscow Mathematical Journal. 2016. Vol. 16. No. 4. P. 691-709.
- Preprint Alexey Elagin, Lunts V. On full exceptional collections of line bundles on del Pezzo surfaces / Cornell University. Series math "arxiv.org". 2015. No. 1505.06477.
- Preprint Alexey Elagin. On equivariant triangulated categories / Cornell University. Series math "arxiv.org". 2014. No. 1403.7027.
- Article Elagin A. D. Descent theory for semiorthogonal decompositions / Пер. с рус. // Sbornik Mathematics. 2012. Vol. 203. No. 5. P. 645-676. doi
- Preprint Elagin A. D. Descent theory for semiorthogonal decompositions / Cornell University. Series math "arxiv.org". 2012. No. 1206.2881.
- Article Elagin A. D. Cohomological descent theory for a morphism of stacks and for equivariant derived categories // Sbornik Mathematics. 2011. Vol. 202. No. 4. P. 495-526.
- Article Елагин А. Д. Полуортогональные разложения для производных категорий эквивариантных когерентных пучков // Известия РАН. Серия математическая. 2009. № 73:5. С. 37-66.
Conferences
- 2016
Международная конференция «Categorical and analytic invariants in Algebraic geometry 3» (Москва). Presentation: On Serre dimension of finite dimensional algebras
- 2015
Categorical and analytic invariants in algebraic geometry II (Токио, Кашива). Presentation: Constructivity of full strong exceptional collections of line bundles on surfaces
Algebra seminar of University of Indiana 2015-2016 (Блумингтон). Presentation: McKay correspondense and equivariant sheaves on projective line