Andrey Trepalin
- Research Fellow:Laboratory of Algebraic Geometry and Its Applications
- Andrey Trepalin has been at HSE University since 2010.
Education and Degrees
- 2014
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Institute for Information Transmission Problems (Kharkevich Institute) of the Russian Academy of Sciences
Thesis Title: Quotients of del Pezzo surfaces - 2014
Candidate of Sciences* (PhD)
- 2014
Doctoral programme in Mathematics
Independent University of Moscow - 2013
Doctoral programme in Mathematics
Lomonosov Moscow State University - 2011
Degree in Mathematics
Independent University of Moscow - 2010
Degree in 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.
Conferences
- 2021Primorie Mathematical Fair (Владивосток). Presentation: Automorphisms groups of pointless del Pezzo surfaces
Multidimensional Residues and Tropical Geometry (Сочи). Presentation: Automorphisms groups of pointless del Pezzo surfaces
- 2017Международная школа-конференция "Бирациональная геометрия в положительной характеристике" (Москва). Presentation: Del Pezzo surfaces over finite fields
- Конференция "Алгебра и теория чисел в Калининграде" (Калининград). Presentation: Геометрия алгебраических поверхностей
- 2016
Surfaces in positive characteristic (Москва). Presentation: Zeta functions of cubic surfaces
- Surfaces in positive characteristic (Москва). Presentation: Zeta functions of del Pezzo surfaces of degree 2
- Международная конференция по алгебраической геометрии, комплексному анализу и компьютерной алгебре в Коряжме (Коряжма). Presentation: Минимальные поверхности дель Пеццо над конечными полями
- 2015Workshop on Projective Algebraic Geometry (celebrating Fyodor Zak's 65th birthday) (Москва (Moscow)). Presentation: Minimal cubic surfaces over finite fields
- 2014Программа повышения квалификации профессорско-преподавательского состава Сибири и Дальнего Востока (Иркутск). Presentation: Коммутативная алгебра: кольца, идеалы
- Frontiers of Rationality (Longyearbyen). Presentation: Quotients of Del Pezzo Surfaces
- Международная научная конференция "Современные проблемы математики, информатики и естественнонаучного знания", посвященная 155-летию И.В. Мещерского (Коряжма). Presentation: Факторы по торическим отражениям
- Однодневная конференция, посвященная 50-летию Ю. Г. Прохорова (Москва (Moscow)). Presentation: Факторы по торическим отражениям
- 2013Международная конференция «Геометрия алгебраических многообразий», посвященная памяти В.А.Исковских (Москва). Presentation: Расслоения на коники над незамкнутыми полями
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Рациональные факторы нерациональных поверхностей
Publications16
- Preprint Trepalin A. Quotients of Severi-Brauer surfaces / Cornell University. Series arXiv "math". 2021.
- Article Trepalin A. Quotients of Severi–Brauer surfaces // Doklady Mathematics. 2021. Vol. 104. P. 390-393. doi
- Article Loughran D., Trepalin A. Inverse Galois problem for del Pezzo surfaces over finite fields // Mathematical Research Letters. 2020. Vol. 27. No. 3. P. 845-853. doi
- Preprint Trepalin A., Loughran D. Inverse Galois problem for del Pezzo surfaces over finite fields / Cornell University. Series arXiv "math". 2019.
- Article Trepalin A. Quotients of del Pezzo surfaces // International Journal of Mathematics. 2019. Vol. 30. No. 11 doi
- Preprint Trepalin A. Del Pezzo surfaces over finite fields / Cornell University. Series arXiv "math". 2018.
- Article Trepalin A. Quotients of del Pezzo Surfaces of Degree 2 // Moscow Mathematical Journal. 2018. Vol. 18. No. 3. P. 557-597.
- Article Trepalin A. Quotients of del Pezzo surfaces of high degree // Transactions of the American Mathematical Society. 2018. Vol. 370. No. 9. P. 6097-6124. doi
- Preprint Trepalin A. Minimal del Pezzo surfaces of degree 2 over finite fields / Cornell University. Series arXiv "math". 2017.
- Article Рыбаков С. Ю., Трепалин А. С. Минимальные кубические поверхности над конечными полями. // Математический сборник. 2017. Т. 208. № 9. С. 148-170. doi
- Article Trepalin A. Quotients of conic bundles // Transformation Groups. 2016. Vol. 21. No. 1. P. 275-295. doi
- Article Trepalin A. Quotients of cubic surfaces // European Journal of Mathematics. 2016. Vol. 2. No. 1. P. 333-359. doi
- Article Andrey S. Trepalin. Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero // Central European Journal of Mathematics. 2014. Vol. 12. No. 2. P. 229-239. doi
- Preprint Andrey Trepalin. Quotients of conic bundles / Cornell University. Series math "arxiv.org". 2013.
- Preprint Andrey Trepalin. Quotients of del Pezzo surfaces of high degree / Cornell University. Series math "arxiv.org". 2013.
- Preprint Trepalin Andrey S. Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero / Cornell University. Series math "arxiv.org". 2013.