Konstantin Shramov
- Research Fellow:Laboratory of Algebraic Geometry and its Applications
- Konstantin Shramov has been at HSE since 2010.
Education and Degrees
- 2007
Candidate of Sciences* (PhD)
- 2003
Degree in Mathematics, Applied Mathematics
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.
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
Birational geometry, Fano varieties, minimal model program, log-canonical thresholds, Kahler-Einstein metrics, Cremona group, birational rigidity.
Student Term / Thesis Papers
- Master
A. Golota «Delta-invariants of Fano Varieties». Faculty of Mathematics, 2019
A. Kuznetsova «Geometry of Singular Double Covers». Faculty of Mathematics, 2018
A. Kuznetsova «Geometry of Singular Double Covers». Faculty of Mathematics, 2018
Conferences
- 2018
Pure Mathematics Seminars (University of Liverpool) (Ливерпуль). Presentation: Automorphisms of pointless surfaces
Motives of Calabi-Yau manifolds (Краков). Presentation: Fano threefolds of degree 22 with a Gm-action
- 2017
Advances in Birational Geometry (Вена). Presentation: Automorphism of Pointless Surfaces
- 2016
Rationality Questions (Бристоль). Presentation: Symmetric Artin-Mumford quartic double solids
BIRATIONAL GEOMETRY AND REDUCTION TO POSITIVE CHARACTERISTIC (Эдинбург). Presentation: Fano threefolds with large automorphism groups
Cremona Conference (Базель). Presentation: Geometry of nodal Fano threefolds
Algebra and Analysis Seminar (Ноттингем). Presentation: Groups of Birational selfmaps
Algebraic Geometry Seminar (Loughborough University) (Лавборо). Presentation: Finite Groups of Birational Selfmaps
- Еженедельный семинар Лаборатории алгебраической геометрии (Москва). Presentation: Бирациональные автоморфизмы трехмерных многообразий
- 2015Workshop of rationally connected varietes (Москва). Presentation: Irrational singular quartic double solids
- Однодневная конференция, посвященная памяти В. А. Исковских (Москва). Presentation: Рациональные особые трёхмерные квартики
- 2014Программа повышения квалификации профессорско-преподавательского состава Сибири и Дальнего Востока (Иркутск). Presentation: Проективные многообразия
- Программа повышения квалификации профессорско-преподавательского состава Сибири и Дальнего Востока (Иркутск). Presentation: Дивизоры и линейные расслоения
- Landau-Ginzburg Theory and Fano Varieties (경주시 (Gyeongju)). Presentation: Bounded groups of birational automorphisms
- Frontiers of Rationality (Longyearbyen). Presentation: Boundedness Properties for Birational Automorphisms
- Complex manifolds, dynamics and birational geometry (Москва (Moscow)). Presentation: Fano threefolds with many symmetries
- Geometry and Topology Seminar (University of Glasgow) (Glasgow). Presentation: Biraional automorpisms of rationally connected varieties
- Seminar of School of mathematics and Satistics (University of Sheffild) (Sheffild). Presentation: Automorphisms of Fano threefolds
- 2013Workshop on Algebraic Geometry in London (Лондон). Presentation: Boundedness results for groups of birational automorphisms
- Летняя школа-конференция по проблемам алгебраической геометриии и комплексного анализа (Ярославль). Presentation: Миникурс "Группы бирациональных авто-морфизмов алгебраических многообразий"
- One Day Workshop on Algebraic Geometry (Тайпей). Presentation: Finite subgroups of birational automorphism
- LMS Invited Lectures 2013: Fedor Bogomolov (Эдинбург). Presentation: Две вспомогательные лекции
- Международная конференция "Алгебраическая геометрия, алгебра и теория чисел", посвященная 90-летию академика Игоря Ростиславовича Шафаревича (Москва). Presentation: Группы бирациональных автоморфизмов
- LMS Invited Lectures 2013: Fedor Bogomolov (Эдинбург). Presentation: Highly symmetric threefolds
- The 8th meeting of "The locally free geometry seminars" (Бухарест). Presentation: Irrational singular quartics
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Особая квартика с кручением в третьих гомологиях
- 2012Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Группа Кремоны ранга 3
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Lifting rationally connected varieties via extremal contractions
Publications52
- Preprint Shramov K., Prokhorov Y. Automorphism groups of Moishezon threefolds / Cornell University. Series arxive "math". 2019.
- Preprint Shramov K., Przyjalkowski V. V. Automorphisms of Fano weighted complete intersections / Cornell University. Series arxive "math". 2019.
- Article Cheltsov I., Przyjalkowski V. V., Shramov K. Burkhardt Quartic, Barth Sextic, and the Icosahedron // International Mathematics Research Notices. 2019. Vol. 2019. No. 12. P. 3683-3703. doi
- Article Przyjalkowski V. V., Shramov K., Cheltsov I. Which quartic double solids are rational? // Journal of Algebraic Geometry. 2019. Vol. 28. P. 201-243. doi
- Article Cheltsov I., Park J., Shramov K. Alpha-invariants and purely log terminal blow-ups // European Journal of Mathematics. 2018. Vol. 4. No. 3. P. 845-858. doi
- Preprint Prokhorov Y., Shramov K. Automorphism groups of Inoue and Kodaira surfaces / Cornell University. Series arxive "math". 2018.
- Preprint Shramov K., Vologodsky V. Automorphisms of pointless surfaces / Cornell University. Series math "arxiv.org". 2018.
- Preprint Cheltsov I., Kuznetsov A. G., Shramov K. Coble fourfold, S_6-invariant quartic threefolds, and Wiman-Edge sextics / Cornell University. Series math "arxiv.org". 2018.
- Preprint Cheltsov I., Shramov K., Park J. Delta invariants of singular del Pezzo surfaces / Cornell University. Series math "arxiv.org". 2018.
- Preprint Shramov K., Przyjalkowski V. V., Cheltsov I. Fano threefolds with infinite automorphism groups / Cornell University. Series math "arxiv.org". 2018.
- Preprint Cheltsov I., Shramov K. Finite collineation groups and birational rigidity / Cornell University. Series math "arxiv.org". 2018.
- Article Prokhorov Y., Shramov K. Finite groups of birational selfmaps of threefolds // Mathematical Research Letters. 2018. Vol. 25. No. 3. P. 957-972. doi
- Article Prokhorov Y., Kuznetsov A. G., Shramov K. Hilbert schemes of lines and conics and automorphism groups of Fano threefolds // Japanese Journal of Mathematics. 2018. Vol. 13. No. 1. P. 109-185.
- Preprint Shramov K., Przyjalkowski V. V. Hodge complexity for weighted complete intersections / Cornell University. Series math "arxiv.org". 2018.
- Preprint Cheltsov I., Shramov K. Kaehler-Einstein Fano threefolds of degree 22 / Cornell University. Series math "arxiv.org". 2018.
- Article Prokhorov Y., Shramov K. p‐subgroups in the space Cremona group // Mathematische Nachrichten. 2018. Vol. 291. No. 8-9. P. 1374-1389. doi
- Preprint Prokhorov Y., Shramov K. Automorphism groups of compact complex surfaces / Cornell University. Series arxive "math". 2017.
- Preprint Przyjalkowski V. V., Shramov K. Nef partitions for codimension 2 weighted complete intersections / Cornell University. Series arxive "math". 2017.
- Article Shramov K., Ciliberto C., Farnik M., Küronya A., Lozovanu V., Roé J. Newton-Okounkov bodies sprouting on the valuative tree // Rendiconti del Circolo Matematico di Palermo. 2017. Vol. 66. No. 2. P. 161-194. doi
- Preprint Przyjalkowski V. V., Shramov K. Bounds for smooth Fano weighted complete intersections / Cornell University. Series arxive "math". 2016.
- Preprint Kuznetsov A. G., Prokhorov Y., Shramov K. Hilbert schemes of lines and conics and automorphism groups of Fano threefolds / Cornell University. Series arxive "math". 2016.
- Preprint Prokhorov Y., Shramov K. Jordan constant for Cremona group of rank 3 / Cornell University. Series arxive "math". 2016.
- Article Prokhorov Y., Shramov K. Jordan property for Cremona groups // American Journal of Mathematics. 2016. Vol. 138. No. 2. P. 403-418.
- Article Cheltsov I., Przyjalkowski V. V., Shramov K. Quartic double solids with icosahedral symmetry // European Journal of Mathematics. 2016. Vol. 2. No. 1. P. 96-119. doi
- Article Cheltsov I., Shramov K. Two rational nodal quartic 3-folds // Quarterly Journal of Mathematics. 2016 doi (in press)
- Article Пржиялковский В. В., Шрамов К. А. Двойные квадрики с большими группами автоморфизмов // Труды Математического института им. В.А. Стеклова РАН. 2016. Т. 294. С. 167-190. doi
- Article Przyjalkowski V. V., Shramov K. On Hodge Numbers of Complete Intersections and Landau–Ginzburg Models // International Mathematics Research Notices. 2015. Vol. 21. P. 11302-11332. doi
- Preprint Cheltsov I., Przyjalkowski V. V., Shramov K. Quartic double solids with icosahedral symmetry / Cornell University. Series math "arxiv.org". 2015.
- Preprint Cheltsov I., Shramov K. Two rational nodal quartic threefolds / Cornell University. Series math "arxiv.org". 2015.
- Preprint Cheltsov I., Przyjalkowski V. V., Shramov K. Which quartic double solids are rational? / Cornell University. Series math "arxiv.org". 2015.
- Article Пржиялковский В. В., Шрамов К. А. Феномен Лорана для моделей Ландау–Гинзбурга полных пересечений в грассманианах // Труды Математического института им. В.А. Стеклова РАН. 2015. Т. 290. С. 102-113.
- Article Ivan Cheltsov, Constantin Shramov. Five embeddings of one simple group // Transactions of the American Mathematical Society. 2014. Vol. 366. No. 3. P. 1289-1331.
- Article Yuri Prokhorov, Constantin Shramov. Jordan property for groups of birational selfmaps // Compositio Mathematica. 2014. Vol. 150. No. 12. P. 2054-2072. doi
- Preprint Victor Przyjalkowski, Constantin Shramov. Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians of planes / Cornell University. Series math "arxiv.org". 2014.
- Article Ivan Cheltsov, Constantin Shramov. Weakly-exceptional singularities in higher dimensions // Journal fuer die reine und angewandte Mathematik. 2014. Vol. 689. P. 201-241.
- Article Пржиялковский В. В., Шрамов К. А. О слабых моделях Ландау–Гинзбурга для полных пересечений в грассманианах // Успехи математических наук. 2014. Т. 69. № 6(420). С. 181-182.
- Article Cheltsov Ivan, Shramov Constantin. Del Pezzo zoo // Experimental Mathematics. 2013. Vol. 22. No. 3. P. 313-326.
- Article Cheltsov I., Shramov K. Sporadic simple groups and quotient singularities // Izvestiya. Mathematics. 2013 (in press)
- Preprint Prokhorov Y., Shramov K. Jordan property for Cremona groups / Cornell University. Series math "arxiv.org". 2012.
- Chapter Cheltsov I., Shramov K. Nine-dimensional exceptional quotient singularities exist, in: Proceedings of the Gökova Geometry-Topology Conference 2011 / Ed. by S. Akbulut, D. Auroux, T. Önder. Boston : International Pre, 2012. P. 85-96.
- Article Feigin M., Shramov K. On Unitary Submodules in the Polynomial Representations of Rational Cherednik Algebras // International Mathematics Research Notes. 2012. Vol. 2012. No. 15. P. 3375-3414.
- Article Cheltsov I., Shramov K. Three embeddings of the Klein simple group into the Cremona group of rank three // Transformation Groups. 2012. Vol. 17. No. 2. P. 303-350.
- Article Cheltsov I., Shramov K. On exceptional quotient singularities // Geometry and Topology. 2011. No. 15. P. 1843-1882. doi
- Article Cheltsov I., Shramov K. Six-dimensional exceptional quotient singularities // Mathematical Research Letters. 2011. Vol. 18. No. 6. P. 1121-1139.
- Preprint Ivan Cheltsov, Constantin Shramov. Weakly-exceptional singularities in higher dimensions / Cornell University. Series math "arxiv.org". 2011.
- Article Cheltsov I., Park J., Shramov K. Exceptional del Pezzo hypersurfaces // Journal of Geometric Analysis. 2010. No. 20. P. 787-816.
- Article Чельцов И. А., Шрамов К. А. Лог-канонические пороги неособых трехмерных многообразий Фано // Успехи математических наук. 2008. № 63:5(383). С. 73-180.
- Article Шрамов К. А. О бирациональной жесткости и Q-факториальности особого двойного накрытия квадрики с ветвлением в дивизоре степени 4 // Математические заметки. 2008. № 84:2 . С. 300-311.
- Article Шрамов К. А. Q-факториальные трехмерные квартики // Математический сборник. 2007. № 198:8. С. 103-114.
- Article Шрамов К. А. К вопросу рациональности неособых трехмерных многообразий с пучком поверхностей дель Пеццо степени 4 // Математический сборник. 2006. № 197:1. С. 133-144.
- Article Шрамов К. А. Обрыв возрастающих цепочек в множестве канонических порогов торических многообразий // Математический сборник. 2006. № 197:4. С. 151-160.
Laboratory researchers won the grant competitions of the "BASIS" Foundation
Dmitry Kaledin, Konstantin Shramov and Nikon Kurnosov won research grant competitions of the "BASIS" Foundation
