Sergey Galkin
- Associate Professor:Faculty of Mathematics
- Sergey Galkin has been at HSE University since 2013.
Education and Degrees
- 2008
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Steklov Mathematical Institute of the Russian Academy of Sciences
Thesis Title: Toric degenerations of Fano manifolds - 2004
Degree
Lomonosov Moscow State University
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.
Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2014-2015)
Articles and book chapters14
- Article Coates T., Galkin S., Kasprzyk A., Strangeway A. Quantum Periods for Certain Four-Dimensional Fano Manifolds // Experimental Mathematics. 2020. Vol. 29. No. 2. P. 183-221. doi
- Article Galkin S., Rybakov S. A Family of K3 Surfaces and Towers of Algebraic Curves over Finite Fields // Mathematical notes. 2019. Vol. 106. No. 6. P. 1014-1018. doi
- Article Galkin S., Belmans P., Mukhopadhyay S. Examples Violating Golyshev’s Canonical Strip Hypotheses // Experimental Mathematics. 2019 doi (in press)
- Chapter Galkin S., Iritani H. Gamma conjecture via mirror symmetry, in: Primitive Forms and Related Subjects — Kavli IPMU 2014. Tokyo : Mathematical Society of Japan, 2019. P. 55-115. doi
- Article Galkin S., Golyshev V., Iritani H. Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures // Duke Mathematical Journal. 2016. Vol. 165. No. 11. P. 2005-2077. doi
- Article Coates T., Corti A., Galkin S., Kasprzyk A. Quantum Periods for 3-Dimensional Fano Manifolds // Geometry and Topology. 2016. Vol. 20. No. 1. P. 103-256. doi
- Chapter Galkin S. Degenerations, transitions and quantum cohomology, in: Tropical Aspects in Geometry, Topology and Physics. Oberwolfach : , 2015. doi P. 1269-1273. doi
- Article Galkin S., Katzarkov L., Mellit A., Shinder E. Derived categories of Keum's fake projective planes // Advances in Mathematics. 2015. Vol. 278. P. 238-253. doi
- Article Galkin S., Mellit A., Smirnov M. Dubrovin's conjecture for IG(2,6) // International Mathematics Research Notices. 2015. Vol. 2015. No. 18. P. 8847-8859. doi
- Chapter Coates T., Corti A., Galkin S., Golyshev V., Kasprzyk A. Mirror Symmetry and Fano Manifolds, in: European Congress of Mathematics Kraków, 2 – 7 July, 2012. Zürich : European Mathematical Society Publishing house, 2014. Ch. 16. P. 285-300. doi
- Article Galkin S., Shinder E. Exceptional collections of line bundles on the Beauville surface // Advances in Mathematics. 2013. Vol. 224. No. 10 September. P. 1033-1050. doi
- Article Cruz Morales J. A., Galkin S. Upper Bounds for Mutations of Potentials // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2013. Vol. 9. No. 005. P. 1-13. doi
- Article Akhtar M., Coates T., Galkin S., Kasprzyk A. Minkowski Polynomials and Mutations // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2012. Vol. 8. No. 094. P. 1-707. doi
- Article Galkin S., Golyshev V. Quantum cohomology of Grassmannians and cyclotomic fields / Пер. с рус. // Russian Mathematical Surveys. 2006. Vol. 61. No. 1. P. 171-173. doi
Working papers11
- Preprint Galkin S., Belmans P., Mukhopadhyay S. Graph potentials and moduli spaces of rank two bundles on a curve / Cornell University. Series math "arxiv.org". 2020. No. 2009.05568.
- Preprint Galkin S., Nagaraj D. S. Projective bundles and blow-ups of Projective spaces / Cornell University. Series math "arxiv.org". 2020. No. 2006.12112.
- Preprint Galkin S. Fano-Mathieu correspondence / Cornell University. Series math "arxiv.org". 2018. No. 1809.02738.
- Preprint Galkin S., Popov P. On pairs, triples and quadruples of points on a cubic surface / Cornell University. Series math "arxiv.org". 2018. No. 1810.07001.
- Preprint Galkin S. Small toric degenerations of Fano threefolds / Cornell University. Series math "arxiv.org". 2018. No. 1809.02705.
- Preprint Galkin S. Apéry constants of homogeneous varieties / Cornell University. Series math "arxiv.org". 2016. No. 1604.04652.
- Preprint Galkin S., Karzhemanov I., Shinder E. On automorphic forms of small weight for fake projective planes / Cornell University. Series math "arxiv.org". 2016. No. 1602.06107.
- Preprint Galkin S., Shinder E. On a zeta-function of a dg-category / Cornell University. Series math "arxiv.org". 2015. No. 1506.05831.
- Preprint Galkin S., Shinder E. The Fano variety of lines and rationality problem for a cubic hypersurface / Cornell University. Series math "arxiv.org". 2014. No. 1405.5154.
- Preprint Galkin S. The conifold point / Cornell University. Series math "arxiv.org". 2014. No. 1404.7388.
- Preprint Galkin S., Katzarkov L., Mellit A., Shinder E. Minifolds and Phantoms / Cornell University. Series math "arxiv.org". 2013. No. 1305.4549v1.
Grants
2015-2017: Dynasty foundation award for "Explicit constructions of interesting projective manifolds"
2015: Simons IUM-fellowship
Principal Investigator:
2016: RFBR grant 16-01-20250, organization of the conference "Monge--Ampere equation and Calabi--Yau manifolds"
2015: RFBR grant 15-01-20558, organization of the conference "Projective Algebraic Geometry" (celebrating Fyodor Zak's 65th birthday)
2014-2015: "Derived categories and mirror symmetry for Fano manifolds and moduli spaces", grant MK-1297.2014.1 from the Ministry of Education and Science of the Russian Federation.
2014-2015: "Phantoms in fake projective planes'', NRU HSE's Academic Fund Program, research grant No 14-01-0025
2009-2011: "Quantum topological invariants of Fano manifolds",
JSPS Grant-in-Aid for Scientific Research (Kakenhi) 10554503.
2009-2012: Start-Up Grant, World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.
Participant:
2015-2016: "Categorical and analytic invariants in algebraic geometry", JSPS-RFBR grant 15-51-50045
2014-2016: "Algebraic geometry of symplectic varieties", key participant of the grant RSF 14-21-00053
2013-2017: AG Laboratory NRU-HSE, RF government grant, ag. 11.G34.31.0023
- "Algebraic geometry, homological algebra, algebraic number theory and mirror symmetry", NSh grants 2998.2014.1, 4713.2010.1, 1987.2008.1, 9969.2006.1
INTAS grant 05-100000-8118
RFBR grants 08-01-00395-a, 04-01-00613, 04-01-00702
ERC grant GEMIS
FWF grants P 24572-N25, P2077
NSF grants DMS0600800, FRG DMS-0652633, FRG DMS-0854977, DMS-0901330
Soshiki Wakate from Japan Society for Promotion of Science
In 2008: "Periods, moduli spaces and arithmetic of algebraic varieties", SFB45
Conferences
- 2017
Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: The conifold point
Конференция "Алгебра и теория чисел в Калининграде" (Калининград). Presentation: Точки, прямые, квадраты, и кубики
Конференция "Алгебра и теория чисел в Калининграде" (Калининград). Presentation: Представления колчана Кронекера и детерминантальные представления кубических форм
Inagurational conference for Gökova Geometry/Topology Institute (Гёкова (Gökova)). Presentation: Cubic forms and related geometries (3 talks)
Geometry of String and Gauge Theories (CERN). Presentation: Two Gauged Linear Sigma Models for non-spherical Calabi-Yau manifolds
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Fano threefolds, K3 surfaces, Mathieu group, and Brav-Dyckerhoff relative Calabi-Yau structures
Международный семинар по бирациональной геометрии и семинар Гиперкэлерова суббоота (Москва). Presentation: Beauville-Donagi and Debarre-Voisin as symmetric squares of Kummer-Kahler-Kodaira-Kuznetsov
- 2016
miniPAGES (Polish Algebraic GEometry mini-Semester) (Бедлево). Presentation: Hyperkahler manifolds and modular forms
23 GÖKOVA GEOMETRY / TOPOLOGY CONFERENCES (Гокова). Presentation: Hyperkähler manifolds and mirror symmetry
- 2015
New Techniques in Birational Geometry (Stony Brook). Presentation: A tentative integer-valued birational invariant of threefolds
Amplitudes, Motives and Beyond (Mainz). Presentation: Exceptional minuscule graphs and motives
- Mathematics of Physics: Geometry and Topology (Engelberg). Presentation: Refined counting of holomorphic discs bounded on Lagrangian torus on a surface
- Magadan Algebraic Geometry International Conference (Магадан (Magadan)). Presentation: Counting rational curves on abelian varieties
Tropical Aspects in Geometry, Topology and Physics (Oberwolfach). Presentation: Degenerations, transitions and quantum cohomology
Algebraic Geometry Seminar (Stony Brook). Presentation: An explicit construction of Miura's varieties
- Categorical and analytic invariants in algebraic geometry II (Токио, Кашива). Presentation: Counting rational curves on abelian varieties is a moonshine with delightful byproducts
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Quantum, refined, tropical, real, and homotopic
- 2014
Calabi-Yau Geometry and Mirror Symmetry (臺北 (Taipei)). Presentation: On positive aspects of mirror symmetry
- Hong Kong Geometry Colloquium (香港 (Hong Kong)). Presentation: Cubics, squares and lines
IMS Algebraic Geometry seminar (香港 (Hong Kong)). Presentation: Mirror symmetry for Fano manifolds
Introductory Workshop on Tropical Geometry in its Complex and Symplectic aspects (Lausanne). Presentation: Mini-course "Geometry of surfaces with geometric genus zero" (4 lectures)
Workshop on B-model aspects of Gromov-Witten Theory (Ann Arbor). Presentation: Gamma conjectures for Fano manifolds
Workshop on Calabi-Yau Manifolds, Mirror Symmetry and Related Topics (東京 (Tokyo)). Presentation: An explicit construction of Miura's varieties
The 10th meeting of "The locally free geometry seminars" (London). Presentation: Cubics: lines, squares, and irrationality
2nd International School on TQFT, Langlands and Mirror Symmetry (Playa del Carmen). Presentation: Cubics: lines, squares, and irrationality
Landau-Ginzburg Theory and Fano Varieties (경주시 (Gyeongju)). Presentation: On conjectures of Dubrovin and Ostrover-Tyomkin
Tropical Geometry in Europe (İstanbul). Presentation: Rational cubic fourfolds, their lines, and associated K3 surfaces
Seminar on Mirror Symmetry (Genève). Presentation: Rationality problems, with special regard to cubic hypersurfaces
Seminar on Mirror Symmetry (Genève). Presentation: Grothendieck's constructor and irrationality of cubic fourfolds
Tropicalization, Realization, and Algebraic-Tropical Correspondence (אילת (Eilat)). Presentation: Monotone Lagrangian tori in the plane
Calabi-Yau Manifolds and their Moduli (Edmonton). Presentation: Calabi-Yau threefolds from elliptic curves, Grassmannians, sextonions,...
Tropical Geometry in Europe (Marseille). Presentation: Dolgachev surfaces and ball quotients
A workshop on the Chow group of holomorphically symplectic manifolds (Москва (Moscow)). Presentation: Lines on rational cubic fourfolds, and associated K3 surfaces
Derived Categories, Motives and Zeta-functions (Edinburgh). Presentation: Derived categories, motives, symmetric powers, zeta-functions
Tropical Geometry (Saas Fee). Presentation: Polynomial relations between holomorphic curves and discs
Mathematics Inspired by String Theory (三亞 (Sānyà)). Presentation: A symplectic version of Dubrovin's conjectures
Complex manifolds, dynamics and birational geometry (Москва (Moscow)). Presentation: Acyclic line bundles on fake projective planes
One-day conference dedicated to the memory of V. A. Iskovskikh (Москва (Moscow)). Presentation: New Fano manifolds, new questions
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Grothendieck's LEGO and birational geometry
- 2013Special Seminar IPMU, University of Tokyo (柏市 (Kashiwa)). Presentation: Exceptional collections on punctual Hilbert schemes of surfaces, and cateorical zeta-functions
- Special Program "Tropical Geometry and Topology" (Bonn). Presentation: Mini-course "Geometry of Fano manifolds" (4 lectures)
- Séminaire de Géométrie Tropicale (Paris). Presentation: The conifold point
- MIPT's DM seminar at Moscow (Москва (Moscow)). Presentation: Bartender's guide to wandering drunkards
Seminar of Lie groups, Riemann surfaces, and mathematical physics (Москва (Moscow)). Presentation: Mirror symmetry for elliptic curves (after Polishchuk and Zaslow)
- Seminar of Max Planck Institute for Mathematics (Bonn). Presentation: The quantization of mirror symmetry for del Pezzo surfaces
Seminar of the Steklov Math. Institute (Москва (Moscow)). Presentation: Пары точек и прямые на кубиках (Pairs of points and lines on cubics)
- Seminar of the Institute of Mathematics of the Johannes Gutenberg University (Mainz). Presentation: Zeta-functions of perfect categories, symmetric powers and Hilbert schemes
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Малообразия
- 2012
Workshop Homological Projective Duality and Quantum Gauge Theory (東京 (Tokyo)). Presentation: Projective duality, quantum cohomology and exceptional approximations
Первая международная конференция по алгебраической геометрии, теории элементарных частиц и теории струн «Relation of String Theory to Gauge Theories and Moduli Problems of Branes» (Москва (Moscow)). Presentation: Exceptional collections of four line bundles on Beauville's quotient-product surface
Workshop «Birational Geometry and Derived Categories» (Wien (Vienna)). Presentation: Minifolds and phantoms
Itinerant Seminar "Tropical Geometry in Europe" (Bonn). Presentation: Mutations of potentials and their upper bounds
- Nakajima seminar (京都市 (Kyoto)). Presentation: Phantom categories
Hodge theoretic aspects of mirror symmetry (Mainz). Presentation: Exceptional non-commutative Hodge structures and Diophantine approximations
International School on TQFT, Langlands and Mirror Symmetry (Huatulco). Presentation: Homologically minimal fourfolds
Birational and Affine Geometry (Москва). Presentation: Minifolds
Student Term / Thesis Papers
- Bachelor
A. Davydov, Derived Category of Variety of Lines on a Cubic Hypersurface. Faculty of Mathematics, 2016
A. Kalmykov, Mirror Symmetry for Jacobians of Hyperelliptic Curves. Faculty of Mathematics, 2016
A. Mazurova, Exceptional Collections on Exceptional Minuscule Varieties. Faculty of Mathematics, 2016
E. Marshakov, Enriques Surfaces of Degree 16 and Pencils of Plane Cubic Curves. Faculty of Mathematics, 2016
- Master
A. Kalmykov, Gauged Linear Sigma Model for the Jacobians of Hyperelliptic Curves. Faculty of Mathematics, 2018
Courses (2020/2021)
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Past Courses
Courses (2017/2018)
- Algebraic Geometry (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar (Postgraduate course’s programme; 1 year, 1 semester)Rus
- Research Seminar "Variety of Varieties 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Variety of Varieties 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2016/2017)
- Research Seminar "Automorphic Forms and Their Applications 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Geometric Structures on Manifolds 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2015/2016)
- Algebraic Surfaces 1 (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Algebraic Surfaces 2 (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar "Automorphic Forms and Their Applications 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Automorphic Forms and Their Applications 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Geometric Structures on Manifolds 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Geometric Structures on Manifolds 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Variety of Varieties 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Variety of Varieties 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
