Valery Gritsenko
- Laboratory Head:International Laboratory for Mirror Symmetry and Automorphic Forms
- Professor:Faculty of Mathematics
- Valery Gritsenko has been at HSE University since 2013.
Education, Degrees and Academic Titles
- 2021
Doctor of Sciences*
HSE University - 1989Associate Professor
- 1980
Candidate of Sciences* (PhD)
Steklov Mathematical Institute of the Russian Academy of Sciences - 1977
Degree
Zhdanov Leningrad State University 1998 French professor qualification equivalent to HDR (Habilitation à diriger des recherches)
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.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
1998 French professor qualification equivalent to HDR (Habilitation à diriger des recherches)
1998 Professor of universities of France
Awards and Accomplishments
Senior member of Institut Universitaire de France (IUF) since October 2013
- Best Teacher – 2021
Academic Supervision
In France four of my graduate students defended their Ph.D.
1) Fabien Cléry (2009), Relévements arithmétique et multiplicatif de formes de Jacobi;
2) Benoit Grandpierre (2009), Produits automorphes, classification des réseaux et théorie du codage; 3) Patrick Lemaire (2009), Formes quasi-modulaires et développement de Taylor de formes modulaires de Siegel;
4) Caroline Desreumaux (2003), Formes de Jacobi relatives au réseau de racines A_2.
Courses (2023/2024)
ADVACED COURSES
Besides the usual university courses in France I regularly read advanced research courses. During the last years I gave the following courses:
04—06.2015 Jacobi modular forms: 30 years after (18 hours).
Department of Mathematics, HSE, Moscow.09—12.2015 Jacobi forms in many variables (24 hours).
Department of Mathematics, HSE, Moscow.2013 Automorphic relations between Kac-Moody Lie algebras and quantum black holes. Mini-course at DFG-Research Training Group ``Analysis, Geometry and String Theory", Leibniz University, Hannover.
2013 Introduction to the theory of Borcherds. A course at the State University Higher School of Economics, Moscow.
2012 Paramodular forms and L-functions. Mini-course at the Max-Planck-Institut für Mathematik in Bonn.
2012 Lattices of Niemeier and Leech. Course at the summer school organized by the Bogomolov laboratory in Yaroslavl, Russia
2011 Jacobi modular forms and automorphic Borcherds products. Mini-course at the Korea Institute for Advance Study, Seoul.
2009 The modular differential operators and a problem of K. Saito. A course at my research seminar in Lille.
2009 Groupes finis, réseaux et théorie du codage. A semester course for Master's students (M2) in Lille.
- Jacobi modular forms: 30 ans apres (Optional course (faculty); 4 module)Eng
- Research Seminar "Automorphic Forms and Their Applications" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Coding Theory as an Introduction to Algebra and Number Theory" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Finite Rings: Codes and Polynomials" (Optional course (faculty); 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Jacobi modular forms: 30 ans apres (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Jacobi modular forms: 30 ans apres (Master’s programme; Faculty of Mathematics; 1 year, 4 module)Eng
- Jacobi modular forms: 30 ans apres (Master’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Research Seminar "Coding Theory as an Introduction to Algebra and Number Theory" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Finite Rings: Codes and Polynomials" (Optional course (faculty); 3, 4 module)Rus
Courses (2021/2022)
Courses (2020/2021)
Courses (2019/2020)
Projects
Since September 2015: Research supervisor of the international research seminar “Automorphic Forms and Applications” of the Laboratory of Algebraic Geometry, HSE, Moscow and Laboratoire J.-V. Poncelet, CNRS, France, see http://ag.hse.ru/automorphic
In 2003, I initiated the French-German seminar on modular forms and its applications Lille-Aachen-Bonn-Köln-Siegen (AKLS). Since 2003, I am one of its research supervisors. The last 47th session of the seminar took place
in Max Planck Institute for Mathematics in Bonn (Germany) on the 1-st of March 2016.
Since 2012, I am a member of the executive committee of the Laboratoire d’Excellence CEMPI (“Centre Européen pour les Mathématiques, la Physique et leurs Interactions”) in Lille and the coordinator of the research theme “Algebraic geometry, modular forms, with applications to physics” of this new research center.
In 2010, I was responsible for the scientific programs of the research semester “Explicit constructions in the theory of automorphic forms'' (6 months) at the Max-Planck-Institut für Mathematik in Bonn.
In 2014, within the special year of algebraic geometry and number theory in the Centre Européen pour les Mathématiques, la Physique et leurs interactions (CEMPI) of the University of Lille, I organised three conferences, one of them was on subjects common to mathematics and physics:
Automorphic Forms, Lie Algebras and String Theory (with P. Vanhove) http://www.ihes.fr/~vanhove/Lille2014/index.html
Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces (with D. Markouschevitch and O. Serman) http://math.univ-lille1.fr/~serman/moduli2014.html
Automorphic L-funtions Workshop (with M. Dimitrov)
http://math.univ-lille1.fr/~mladen/workshop-lille-2014.html
Editorial board membership
Since 2014, I am a member of the Editorial Advisory Board of European Journal of Mathematics.
In 2008-2014, I was a member of the Editorial Board of the Central European Journal of Mathematics.
2014: Member of the Editorial Council, European Journal of Mathematics.
2008–2014: Member of the Editorial Board, Central European Journal of Mathematics.
Grants
2013--2018 Senior member of Institut Universitaire de France.
The Institut Universitaire de France (IUF) is a French service of the Ministry of Higher Education that distinguishes each year a small number of university professors for their research excellence, as evidenced by their international recognition. A member benefits from a reduction of 2/3 of this statutory education service and has a big research grant.
https://en.wikipedia.org/wiki/Institut_Universitaire_de_France
2012--2018 A member of the executive committee of the ``Laboratoire d'Excellence'' Centre Européen pour les Mathématiques, la Physique et leurs interactions (CEMPI), a project of the Laboratoire de Mathématiques Paul Painlevé and the Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM), was created in the context of the "Programme d'Investissements d'Avenir" in February 2012 (see: http://math.univ-lille1.fr/~cempi/index_eng.php)
2009--2012 ANR research program ``Holomorphically symplectic manifolds, their moduli spaces and automorphic forms" (ANR-09-BLAN-0104-01) between the universities of Paris, Lille, Grenoble and Rennes. (I was research coordinator of two projects
of this program.)
2012 and 2010 Research stipendium of the Max-Planck-Institut f\"ur Mathematik in Bonn. I was responsible for the scientific programs of the research semester at the
Max-Planck-Institut f\"ur Mathematik in Bonn: ``Explicit
constructions in the theory of automorphic forms'' (6 months in 2010)
Conferences
- 2023Конференция по алгебре, алгебраической геометрии и теории чисел, посвященная 100-летию И.Р. Шафаревича (Москва). Presentation: Пространства модулей ортогонального типа: решенные проблемы и открытые вопросы
- Sino-Russian Hybrid Conference “Geometry and Physics” (Москва). Presentation: Automorphic asymmetry and moduli spaces.
- 2020
Integrable Systems and Automorphic Forms (Сочи). Presentation: Modular differential operators and t-deformation of modular forms.
- 2016
School on the Mathematics of String Theory (Marseille). Presentation: Automorphic forms and Lorentzian Kac—Moody Lie algebras (4 talks)
Moduli spaces and Modular forms (Oberwolfach). Presentation: Moduli spaces and Modular forms
Автоморфные формы и их приложения (Москва). Presentation: Автоморфные формы и новый класс Лоренцевых алгебр Каца-Муди.
Seminar Aachen-Bonn-Koeln-Lille-Siegen on Automorphic Forms (Bonn). Presentation: Seminar Aachen-Bonn-Koeln-Lille-Siegen on Automorphic Forms
Physics and Number Theory (Париж). Presentation: Kac-Moody algebras, Borcherds products and L-functions
- 2015Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Модули и модулярные формы
- CEMPI Scientifique Day (Lille). Presentation: Borcherds products: algebra, geometry and physics
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Модули и модулярные формы. Введение.
Еженедельный семинар "Группы Ли и теория инвариантов" на мехмате МГУ им. Ломоносова (Москва). Presentation: Башни рефлективных модулярных форм (13.05.2015)
Automorphic Forms: Advances and Applications (Марсель). Presentation: Borcherds products and a new class of Lorentzian Kac-Moody Algebras
- Семинар отдела алгебры и теории чисел и отдела алгебраической геометрии (семинар И. Р. Шафаревича) (Москва). Presentation: Пространства модулей поляризованных поверхностей Энриквеса: результаты и гипотезы (к 65 летию В.В. Никулина).
- Заседание Московского Математического Общества (Москва). Presentation: Автоморфные произведения Борчердса в геометрии, топологии и физике
- Еженедельный семинар "Автоморфные формы и их приложения" (Москва). Presentation: Произведения Борчердса - план изучения
- Автоморфные формы и их приложения (Москва). Presentation: Рефлективная форма Борчердса Ф_12. Введение.
- Автоморфные формы и их приложения (Москва). Presentation: Голоморфный эллиптический род комплексных многообразий I.
- Автоморфные формы и их приложения (Москва). Presentation: Формы Якоби, построенные по векторным расслоениям: обобщенный эллиптический (якобиев) род комплексных многообразий II
- Автоморфные формы и их приложения (Москва). Presentation: Формула знаменателя аффинной алгебры Каца-Муди как форма Якоби
- Автоморфные формы и их приложения (Москва). Presentation: Автоморфные дискриминанты
- 2014K3 surfaces and their moduli (Schiermonnikoog). Presentation: Kondo’s problem on the moduli space of Enriques surfaces with level two structure
Modular Forms (Oberwolfach). Presentation: Borcherds Produsts Everywhere Theorem
- Journées de Géométrie Algébrique et Equations aux Derivées Partielles (Ланс). Presentation: Automorphic discriminants and the exceptional Arnold singularities
- Automorphic forms, Lie algebras and String theory (Лилль). Presentation: Theta-blocks: a hyperbolic approach
- Motivic structures on quantum cohomology and pencils of Calabi-Yau motives (Бонн). Presentation: Borcherds Products Everywhere Theorem
- K3, Enriques Surfaces and Related Topics (Nagoya). Presentation: On the coverings of the moduli space of Enriques surfaces: solution of Kondo’s problem
- Kolloquium über Reine Mathematik, Hamburg University (Hamburg). Presentation: Different faces of Borcherds products: new applications in algebraic geometry and Lie algebras
Modular forms and applications (Лилль). Presentation: Modular forms and applications
Dissertation for a degree of Doctor of Science
V. Gritsenko Applications of automorphic formsin algebraic geometry
Publications32
- Article Adler D., Gritsenko Valery. Modular differential equations of the elliptic genus of Calabi–Yau fourfolds // Journal of Geometry and Physics. 2023. Vol. 194. Article 104995. doi
- Article Adler D., Gritsenko V. Elliptic genus and modular differential equations // Journal of Geometry and Physics. 2022. Vol. 181. Article 104662. doi
- Article Gritsenko V., Poor C., Yuen D. S. Antisymmetric Paramodular Forms of Weights 2 and 3 // International Mathematics Research Notices. 2020. Vol. 2020. No. 20. P. 6926-6946. doi
- Article Gritsenko V., Wang H. Graded ring of integral Jacobi forms // Journal of Number Theory. 2020. Vol. 214. P. 382-398. doi
- Chapter Gritsenko V. Modified Elliptic Genus, in: Partition Functions and Automorphic Forms / Отв. ред.: V. Gritsenko, V. Spiridonov. Springer Publishing Company, 2020. doi P. 87-119. doi
- Book Partition Functions and Automorphic Forms / Отв. ред.: V. Gritsenko, V. Spiridonov. Springer Publishing Company, 2020. doi
- Article Adler D., Gritsenko V. The D_8-tower of weak Jacobi forms and applications // Journal of Geometry and Physics. 2020. Vol. 150. P. 103616. doi
- Article Gritsenko V., Wang H. Theta block conjecture for paramodular forms of weight 2 // Proceedings of the American Mathematical Society. 2020. Vol. 148. P. 1863-1878. doi
- Article Gritsenko V., Wang H. Antisymmetric paramodular forms of weight 3 / Пер. с рус. // Sbornik Mathematics. 2019. Vol. 210. No. 12 doi
- Preprint Adler D., Gritsenko V. The D_8-tower of weak Jacobi forms and applications / Cornell University. Series math "arxiv.org". 2019.
- Article Гриценко В. А., Ванг Х. Антисимметричные парамодулярные формы веса 3 // Математический сборник. 2019. Т. 210. № 12. С. 43-66. doi
- Article Gritsenko V., Nikulin V. V. Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections // Proceedings of the London Mathematical Society. 2018. Vol. 116. No. 3. P. 485-533. doi
- Article Gritsenko V., Wang H. Powers of Jacobi triple product, Cohen’s numbers and the Ramanujan -function // European Journal of Mathematics. 2018. Vol. 4. No. 2. P. 561-584. doi
- Article Gritsenko V. Reflective modular forms and applications / Пер. с рус.: V. Gritsenko. // Russian Mathematical Surveys. 2018. Vol. 73. No. 5. P. 797-864. doi
- Article Гриценко В. А. Рефлективные модулярные формы и их приложения // Успехи математических наук. 2018. Т. 73. № 5. С. 53-122. doi
- Article Valery Gritsenko, Wang H. Conjecture on theta-blocks of order 1 / Пер. с рус. // Russian Mathematical Surveys. 2017. Vol. 72. No. 5. P. 968-970. doi
- Article Gritsenko V., Nikulin V. Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras / Пер. с рус. // Transactions of the Moscow Mathematical Society. 2017. Vol. 78. P. 75-83. doi
- Article Гриценко В. А., Ванг Х. Гипотеза о тэта-блоках первого порядка // Успехи математических наук. 2017. Т. 72. № 5. С. 191-192. doi
- Article Гриценко В. А., Никулин В. В. Примеры решёточно-поляризованных K3-поверхностей с автоморфным дискриминантом и лоренцевы алгебры Каца—Муди // Труды Московского математического общества. 2017. Т. 78. № 1. С. 89-100.
- Preprint Gritsenko V., Nikulin V. V. Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections / Cornell University. Series arXiv "math". 2016. (in press)
- Chapter Gritsenko V., Hulek K. Moduli of polarized Enriques surfaces, in: K3 Surfaces and Their Moduli. Basel : Birkhäuser, 2016. doi P. 55-72. doi
- Article Gritsenko V., Poor C., Yuen D. S. Borcherds Products Everywhere // Journal of Number Theory. 2015. Vol. 148. P. 164-195. doi
- Preprint Gritsenko V., Hulek K. Moduli of polarized Enriques surfaces / Cornell University. Series math "arxiv.org". 2015. No. 02723. (in press)
- Article Gritsenko V., Hulek K. Uniruledness of orthogonal modular varieties // Journal of Algebraic Geometry. 2014. Vol. 23. No. 4. P. 711-725. doi
- Article Gritsenko V., Cléry F. Modular forms of orthogonal type and Jacobi theta-series // Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 2013. Vol. 83. No. 2. P. 187-217. doi
- Chapter Gritsenko V., Hulek K., Sankaran G. Moduli of K3 Surfaces and Irreducible Symplectic Manifolds, in: Handbook of Moduli. Vol. I Vol. I. Boston : International Press of Boston Inc, 2013. P. 469-525.
- Preprint Gritsenko V. 24 faces of the Borcherds modular form Phi_{12} / Cornell University. Series math "arxiv.org". 2012. No. 6503.
- Article Gritsenko V., Hulek K., Sankaran G. Moduli spaces of polarised symplectic O'Grady varieties and Borcherds products // Journal of Differential Geometry. 2011. Vol. 88. No. 1. P. 61-85.
- Article Gritsenko V., Cléry F. Siegel modular forms of genus 2 with the simplest divisor // Proceedings of the London Mathematical Society. 2011. Vol. 102. No. 6. P. 1024-1052.
- Article Gritsenko V., Hulek K., Sankaran G. Moduli spaces of irreducible symplectic manifolds // Compositio Mathematica. 2010. Vol. 146. No. 2. P. 404-434.
- Preprint Gritsenko V. Reflective modular forms in algebraic geometry / Cornell University. Series math "arxiv.org". 2010. No. 3753.
- Article Gritsenko V. d=46, 50, 52, 54, 57. Appendix to the paper of A. Peterson, G.K.Sankaran. On some lattice computations related to moduli problems // Rendiconti del Seminario Matematico Università e Politecnico di Torino. 2010. Vol. 68. No. 3. P. 298-299.
Blended Learning: Taking Teaching Beyond University
On March 22, the Higher School of Economics hosted a university conference, ‘Blended Learning: Experience, Success and Prospects.’ More than 100 teachers, academics and administrative staff from all HSE campuses met to discuss the strategic and practical issues of integrating a mixed education format into the learning process, as well as the challenges and benefits of combining traditional education with distance and online methods.
Young Stars of Mirror Symmetry Come Together in Moscow
Mirror symmetry is a relatively new field of mathematics which came into being in the 1990s. In 2017, HSE opened the International Laboratory for Mirror Symmetry and Automorphic Forms. The December conference, ‘Mirror Symmetry and Applications’, was a commemoration of its first year of operation.
‘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.