Viсtor Przyjalkowski
- Viсtor Przyjalkowski has been at HSE University since 2011.
Education and Degrees
* 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.
* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Conferences
- 2021Dynamics in Siberia (Новосибирск ). Presentation: Dolgachev-Nikulin duality and mirror symmetry for Fano threefolds
- 2017Advances in Birational Geometry (Вена). Presentation: Log Calabi–Yau compactifications of Landau-Ginzburg models
- Седьмая летняя математическая школа "Алгебра и геометрия" (Ярославль). Presentation: Зеркальная симметрия и многочлены Лорана
- Periods and Ricci flat manifolds (Варшава). Presentation: Landau–Ginzburg Hodge numbers
- 2016
IX экономико-математическая школа с международным участием «Байкальские чтения" (Иркутск). Presentation: Алгебраические поверхности: дивизоры и вложения в проективные пространства
Algebra Seminar (Блумингтон). Presentation: Laurent polynomials in mirror symmetry
- 2015Algebraic Geometry Seminar (Нью-Йорк). Presentation: Fano varieties and Laurent polynomials
- II Школа-семинар по алгебраической геометрии (Иркутск). Presentation: Алгебраические поверхности и когомологии пучков
- 2014Conference on Homological Mirror Symmetry (Coral Gables). Presentation: Projections and moduli of Landau-Ginzburg models
- Программа повышения квалификации профессорско-преподавательского состава Сибири и Дальнего Востока (Иркутск). Presentation: Аффинные многообразия
- Программа повышения квалификации профессорско-преподавательского состава Сибири и Дальнего Востока (Иркутск). Presentation: Отображения и линейные системы
- Landau-Ginzburg Theory and Fano Varieties (경주시 (Gyeongju)). Presentation: Toric Landau-Ginzburg models and birational geometry of Fano varieties
- Frontiers of Rationality (Longyearbyen). Presentation: Laurent Phenomenon for Fano Complete Intersections in Grassmannian of Planes
- Научный семинар (Университет Вены) (Вена (Vienna)). Presentation: Projecting Fanos in the mirror
- Однодневная конференция, посвященная 50-летию Ю. Г. Прохорова (Москва (Moscow)). Presentation: Торические модели Ландау–Гинзбурга и бирациональная геометрия
- Традиционная зимняя сессия МИАН–ПОМИ, посвященная теме «Алгебраическая геометрия, К-теория и мотивы» (Санкт-Петербург (Saint-Petersburg)). Presentation: Модели Ландау–Гинзбурга и интегралы Гивенталя
- 2013The 6th meeting of "The locally free geometry seminars" (Мадрид). Presentation: Mirror symmetry for Fano threefolds: modularity, projecions, variations
- Third Latin Congress on Symmetries in Geometry and Physics (São Luís, Maranhão). Presentation: Mirror symmetry for Fano threefolds: modularity, projections, variations
- Seminar "More Algebraic Geometry at Imperial College" (Лондон). Presentation: From Landau-Ginzburg models to birational geometry of Fano varieties
- The 8th meeting of "The locally free geometry seminars" (Бухарест). Presentation: Hodge numbers of Fano varieties via Mirror Symmetry
- Dynamical systems and category theory (Вена). Presentation: Hodge numbers of Fano varieties via Mirror symmetry
- Workshop "Quantum and motivic cohomology, Fano varieties and mirror symmetry" (Санкт-Петербург (Saint-Petersburg)). Presentation: Hodge numbers of Fano varieties via Mirror Symmetry
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Hodge numbers of Fano varieties via Mirror Symmetry
Publications33
- Article Пржиялковский В. В., Шрамов К. А. Гладкие полные пересечения Фано основной серии в торических многообразиях // Математические заметки. 2021. Т. 109. № 4. С. 590-596. doi
- Article Пржиялковский В. В., Шрамов К. А. Об автоморфизмах квазигладких взвешенных полных пересечений // Математический сборник. 2021. Т. 212. № 3. С. 112-127. doi
- Article Przyjalkowski V., Shramov K. Bounds for smooth Fano weighted complete intersections // Communications in Number Theory and Physics. 2020. Vol. 14. No. 3. P. 511-553. doi
- Preprint Cheltsov I., Przyjalkowski V. Fibers over infinity of Landau-Ginzburg models / Cornell University. Series arXiv "math". 2020.
- Article Przyjalkowski V., Shramov K. Hodge level for weighted complete intersections // Collectanea Mathematica. 2020. Vol. 71. P. 549-574. doi
- Preprint Shramov K., Przyjalkowski V. On automorphisms of quasi-smooth weighted complete intersections / Cornell University. Series arXiv "math". 2020.
- Article Przyjalkowski V., Harder A., Katzarkov L. Феномен P=W // Mathematical notes. 2020. Vol. 108. No. 1. P. 33-46. doi
- Article Shramov K., Przyjalkowski V. Automorphisms of Weighted Complete Intersections // Proceedings of the Steklov Institute of Mathematics. 2019. Vol. 307. P. 198-209. doi
- Preprint Shramov K., Przyjalkowski V. Automorphisms of weighted complete intersections / Cornell University. Series arXiv "math". 2019.
- Article Cheltsov I., Przyjalkowski 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., Cheltsov I., Shramov K. Fano threefolds with infinite automorphism groups // Izvestiya. Mathematics. 2019. Vol. 83. No. 4. P. 860-907. doi
- Preprint Cheltsov I., Shramov K., Przyjalkowski V. Fano threefolds with infinite automorphism groups / Cornell University. Series arXiv "math". 2019.
- Preprint Shramov K., Przyjalkowski V. Fano weighted complete intersections of large codimension / Cornell University. Series arXiv "math". 2019.
- Article Przyjalkowski V., Shramov K. Nef partitions for codimension 2 weighted complete intersections // Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2019. Vol. XIX. No. 3. P. 827-845. doi
- Article Przyjalkowski V., Shramov K., Cheltsov I. Which quartic double solids are rational? // Journal of Algebraic Geometry. 2019. Vol. 28. P. 201-243. doi
- Article Пржиялковский В. В., Чельцов И. А., Шрамов К. А. Трехмерные многообразия Фано с бесконечными группами автоморфизмов // Известия РАН. Серия математическая. 2019. Т. 83. № 4. С. 226-280. doi
- Preprint Shramov K., Przyjalkowski V. Hodge complexity for weighted complete intersections / Cornell University. Series math "arxiv.org". 2018.
- Preprint Cheltsov I., Przyjalkowski V. Katzarkov-Kontsevich-Pantev Conjecture for Fano threefolds / Cornell University. Series arXiv "math". 2018.
- Article Lunts V., Przyjalkowski V. Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces // Advances in Mathematics. 2018. Vol. 329. P. 189-216. doi
- Article Пржиялковский В. В. Торические модели Ландау–Гинзбурга // Успехи математических наук. 2018. Т. 73. № 6. С. 95-190. doi
- Article Przyjalkowski V., Shramov K. Laurent phenomenon for Landau-Ginzburg models of complete intersections in Grassmannians of planes // Bulletin of the Korean Mathematical Society. 2017. Vol. 54. No. 5. P. 1527-1575. doi
- Article Cheltsov I., Przyjalkowski V., Shramov K. Quartic double solids with icosahedral symmetry // European Journal of Mathematics. 2016. Vol. 2. No. 1. P. 96-119. doi
- 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., Shramov K. On Hodge Numbers of Complete Intersections and Landau–Ginzburg Models // International Mathematics Research Notices. 2015. Vol. 21. P. 11302-11332. doi
- 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 Iliev A., Katzarkov L., Victor Przyjalkowski. Double solids, categories and non-rationality // Proceedings of the Edinburgh Mathematical Society. 2014. Vol. 57. P. 145-173.
- 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.
- Chapter Viktor Przyjalkowski, Katzarkov L., Ivan Cheltsov. Birational geometry via moduli spaces, in: Birational geometry, rational curves, and arithmetic / Ed. by F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston : Birkhäuser, 2013. Ch. 5. P. 93-132.
- Article Ilten N. O., Lewis J., Victor Przyjalkowski. Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models // Journal of Algebra. 2013. Vol. 374. P. 104-121. doi
- Article Пржиялковский В. В. Слабые модели Ландау–Гинзбурга гладких трехмерных многообразий Фано // Известия РАН. Серия математическая. 2013. Т. 77. № 4. С. 135-160.
- Chapter Katzarkov L., Przyjalkowski V. Landau-Ginzburg models - old and new, in: Proceedings of the Gökova Geometry-Topology Conference 2011 / Ed. by S. Akbulut, D. Auroux, T. Önder. Boston : International Pre, 2012. P. 97-124.
- Article Przyjalkowski V. Hori-Vafa mirror models for complete intersections in weighted projective spaces and weak Landau-Ginzburg models // Central European Journal of Mathematics. 2011. Vol. 9. No. 5. P. 972-977. doi
- Article Przyjalkowski V., Katzarkov L. Generalized Homological Mirror Symmetry and cubics // Proceedings of the Steklov Institute of Mathematics. 2009. No. 264. P. 87-95.
Grants
President Grant MK-503.2010.1 (2010-2011).
NSh-4713.2010.1 (2010-2011).
FWF P20778.
NSh-1987.2008.1 (2008-2009).
RFFI 08-01-00395- (2008-2010).
NSh-9969.2006.1 (2006-2007).
RFFI 05-01-00353 (2005-2007).
RFFI 04-01-00613 (2004-2006).
NSh-489.2003.1 (2003-2006).
Conference and talk
Workshop on Mirror Symmetry and Related Topics, Miami, USA, January 24 - February 4, 2011 (talk "Weak Landau-Ginzburg models, toric degenerations and multi- potentials")
Research interests
Algebraic geometry, mirror symmetry, Landau-Ginzburg models, Gromov-Witten invariants, rationality problems
‘Mirror Symmetry Was Discovered by Physicists, But Very Quickly Got the Attention of Mathematicians…’
The HSE International Laboratory for Mirror Symmetry and Automorphic Forms, which is among several international laboratories to recently open within the Higher School of Economics, was created in December 2016 as part of the Russian government’s mega-grants program. Below, the lab’s academic supervisor, Ludmil Katzarkov, along with deputy heads Valery Gritsenko and Viktor Przyjalkowski, explain why the laboratory is fully capable of becoming a unique multidisciplinary unit dedicated to the study of mirror symmetry, automorphic forms, and number theory.