Fedor Alekseevich Bogomolov
- Academic Supervisor:Laboratory of Algebraic Geometry and Its Applications
- Fedor Alekseevich Bogomolov has been at HSE University since 2010.
Education and Degrees
- 1983
Doctor of Sciences*
- 1970
Degree
Lomonosov Moscow State University
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Editorial board membership
1994: Editor-in-chief, European Journal of Mathematics.
1994: Executive Editor, Geometric and Functional Analysis.
Conferences
- 2021Summer Geometry Fest (Moscow). Presentation: Second Chern classes of vector bundles and related geometry
- 2017
Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Geometry of sets of torsion points on elliptic curves
Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: $PGL(2)$-invariants of collections of torsion points of elliptic curves
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Unsolved questions in geometry
- 2016
2-я МЕЖДУНАРОДНАЯ НАУЧНАЯ КОНФЕРЕНЦИЯ - НАУКА БУДУЩЕГО (Казань). Presentation: Algebraic geometry
Workshop on Algebraic Geometry (Ханга Роа). Presentation: LEMMA ON INTERSECTION OF CURVES AND DOMAINS IN COMPLEX PROJECTIVE VARIETIES AND APPLICATIONS
- 2015Однодневная конференция, посвященная памяти В. А. Исковских (Москва). Presentation: В.А. Исковских и алгебраическая геометрия в Москве 60-90 годы
- 2014Исследовательский семинар Университета Ноттингема (Nottingham). Presentation: Tate conjecture and relations in Galois groups
- International conference "Algebraic Geometry and Number Theory" on the occasion of M.A. Tsfasman's and S.G. Vladuts' 60th birthday (Москва (Moscow)). Presentation: Homomorphisms of multiplicative groups of fields and section conjecture
- Frontiers of Rationality (Longyearbyen). Presentation: Homomorphisms of Multyplicative Groups of Fields and Section Conjecture
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Closed symmetric differentials on surfaces
- Symmetries and Correspondences: Higher Structures in Number Theory (Ноттингем (Nottingham)). Presentation: Projective geometry and non-archimedean valuations
- Symmetries and correspondences in number theory, geometry, algebra, physics: intra-disciplinary trends (Ноттингем (Nottingham)). Presentation: On the section conjecture in anabelian geometry
- Second ERC Research Period on Diophantine Geometry (Diophantine Geometry, Unlikely Intersections and Algebraic Dynamics) (Четраро (Cetraro)). Presentation: Braid group and Szpiroine quality
- 2013LMS Invited Lectures 2013: Fedor Bogomolov (Эдинбург). Presentation: Серия лекций "Birational Geometry and Galois Groups"
- Международная конференция "Глобальные поля" (Москва). Presentation: Inducing nonramified cohomology elements
- Workshop "Foliation Theory in Algebraic Geometry" (Нью-Йорк). Presentation: Closed symmetric differentials on surfaces
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: On Szpiro's conjecture, it's relation to ABC-conjecture and some other problems in arithmetic geometry
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Homomorphisms between multiplicative groups of fields and Grothendieck Section Conjecture
- 2012Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Группы подстановок и проективные группы
Publications75
- Article Bogomolov F. A., Husemöller D. Geometric properties of curves defined over number fields // European Journal of Mathematics. 2022. Vol. 8. P. 792-805. doi
- Article Bogomolov F. A., Kurnosov N., Kuznetsova A., Yasinsky E. Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds // International Mathematics Research Notices. 2022. Vol. 2022. No. 16. P. 12302-12341. doi
- Article Bogomolov F. A., Déev R., Verbitsky M. Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations // Advances in Mathematics. 2022. Vol. 405. Article 108479. doi
- Article Fedor Bogomolov, Lukzen E. Stable vector bundles on the families of curves // European Journal of Mathematics. 2022. Vol. 8. No. 2. P. 540-550. doi
- Article Bogomolov F. A., Kamenova L., Verbitsky M. Algebraically hyperbolic manifolds have finite automorphism groups // Communications in Contemporary Mathematics. 2020. Vol. 22. No. 2. Article 1950003. doi
- Article Bogomolov F. A., Fu H. On the PGL_2-invariant quadruples of torsion points of elliptic curves // European Journal of Mathematics. 2020. Vol. 6. P. 1236-1253. doi
- Preprint Bogomolov F. A., Lukzen E. Stable vector bundles on the families of curves / Cornell University. Series arXiv "math". 2020.
- Article Bogomolov F. A., Cheltsov I., Liendo A., Dubouloz A. Easter Island volume // European Journal of Mathematics. 2019. Vol. 5. P. 611-621. doi
- Article Bogomolov F. A., Rovinsky M., Tschinkel Y. Homomorphisms of multiplicative groups of fields preserving algebraic dependence // European Journal of Mathematics. 2019. Vol. 5. No. 3. P. 656-685. doi
- Chapter Bogomolov F. A., Tschinkel Y. Noether's problem and descent, in: Proceedings of the Seventh International Congress of Chinese Mathematicians Vol. 1. Boston : International Press of Boston Inc, 2019. Ch. 1. P. 3-15.
- Article Bogomolov F. A., Blum-Smith B. Purely noncommuting groups // European Journal of Mathematics. 2019. Vol. 5. No. 4. P. 1173-1191. doi
- Article Bogomolov F. A., Halle L. H., Pazuki F., Tanimoto S. Abelian Calabi–Yau threefolds: Néron models and rational points // Mathematical Research Letters. 2018. Vol. 25. No. 2. P. 367-392. doi
- Preprint Kurnosov N., Bogomolov F. A., Buonerba F. Classifying VII_0 surfaces with b_2=0 via group theory / Cornell University. Series arXiv "math". 2018.
- Article Buonerba F., Bogomolov F. A. Dominant classes of projective varieties // European Journal of Mathematics. 2018. Vol. 4. No. 4. P. 1412-1420. doi
- Article Cheltsov I., Bogomolov F. A. Edge volume, part I // European Journal of Mathematics. 2018. Vol. 4. P. 1-7. doi
- Article Cheltsov I., Bogomolov F. A. Edge volume, part II // European Journal of Mathematics. 2018. Vol. 4. P. 699-707. doi
- Article Bogomolov F. A., Fu H. Elliptic curves with large intersection of projective torsion points // European Journal of Mathematics. 2018. Vol. 4. No. 2. P. 555-560. doi
- Preprint Kurnosov N., Bogomolov F. A. Lagrangian fibrations for IHS fourfolds / Cornell University. Series arXiv "math". 2018.
- Preprint Bogomolov F. A., Pirutka A., Böhning C. On stable cohomology of central extensions of elementary abelian groups / Cornell University. Series arXiv "math". 2018.
- Preprint Bogomolov F. A., Blum-Smith B. Purely noncommuting groups / Cornell University. Series arXiv "math". 2018.
- Chapter Bogomolov F. A., Fu H., Tschinkel Y. Torsion of elliptic curves and unlikely intersections, in: Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin. Oxford : Oxford University Press, 2018. doi P. 19-38. doi
- Preprint Verbitsky M., Bogomolov F. A., Kamenova L. Algebraically hyperbolic manifolds have finite automorphism groups / Cornell University. Series arXiv "math". 2017.
- Preprint Bogomolov F. A., Buonerba F. Dominant classes of projective varieties / Cornell University. Series arXiv "math". 2017.
- Preprint Bogomolov F. A., Fu H. Elliptic Curves with Large Intersection of Projective Torsion Points / Cornell University. Series arXiv "math". 2017.
- Article Bogomolov F. A., Qian J. On contraction of algebraic points // Bulletin of the Korean Mathematical Society. 2017. Vol. 54. No. 5. P. 1577-1596. doi
- Preprint Bogomolov F. A., Fu H., Tschinkel Y. Torsion of elliptic curves and unlikely intersections / Cornell University. Series arXiv "math". 2017.
- Article Bogomolov F. A., Tschinkel Y. Universal spaces for unramified Galois cohomology // Progress in Mathematics. 2017. Vol. 320. P. 57-86. doi
- Preprint Bogomolov F. A., Halle L. H., Pazuki F., Tanimoto S. Abelian Calabi-Yau threefolds: Néron models and rational points / Cornell University. Series arXiv "math". 2016.
- Article Bogomolov F. A., Böhning C., Graf von Bothmer H. Birationally isotrivial fiber spaces // European Journal of Mathematics. 2016. Vol. 2. No. 1. P. 45-54. doi
- Article Bogomolov F. A., Fu H. Division polynomials and intersection of projective torsion points // European Journal of Mathematics. 2016. Vol. 2. No. 3. P. 644-660. doi
- Article Bogomolov F. A., Pirutka A., Silberstein A. M. Families of disjoint divisors on varieties // European Journal of Mathematics. 2016. Vol. 2. No. 4. P. 917-928. doi
- Preprint Bogomolov F. A., Qian J. On Contraction of Algebraic Points / Cornell University. Series arXiv "math". 2016.
- Chapter Bogomolov F. A., Kamenova L., Lu S., Verbitsky M. On the Kobayashi Pseudometric, Complex Automorphisms and Hyperkähler Manifolds, in: Geometry Over Nonclosed Fields. Springer, 2016. doi (in press)
- Preprint Bogomolov F. A., Kamenova L., Lu S., Verbitsky M. On the Kobayashi pseudometric, complex automorphisms and hyperkaehler manifolds / Cornell University. Series arXiv "math". 2016.
- Chapter Bogomolov F. A., De Oliveira B. Local structure of closed symmetric 2-differentials, in: Proceedings of the Simons Conference "Foliation theory in Algebraic Geometry". Springer, 2015. doi (in press)
- Chapter Bogomolov F. A., McQuillan M. Rational curves on foliated varieties, in: Proceedings of the Simons Conference "Foliation theory in Algebraic Geometry". Springer, 2015. doi P. 1-22. doi
- Preprint Bogomolov F. A., Silberstein A. M. The Disjoint Divisors Theorem for Complete Varieties / Cornell University. Series math "arxiv.org". 2015.
- Article F. A. Bogomolov, Vik. S. Kulikov. The ambiguity index of an equipped finite group // European Journal of Mathematics. 2015. Vol. 1. No. 4. P. 260-278. doi
- Article Bogomolov F. A., Greenleaf F. P. A Constructive Proof of Brauer's Theorem on Induced Characters in the Group Ring // Proceedings of the Edinburgh Mathematical Society. 2014. Vol. 57. No. 1. P. 31-53.
- Preprint Fedor Bogomolov, Böhning C. Essential dimension, stable cohomological dimension, and stable cohomology of finite Heisenberg groups / Cornell University. Series math "arxiv.org". 2014.
- Preprint Fedor Bogomolov, De Oliveira B. Local structure of closed symmetric 2-differentials / Cornell University. Series math "arxiv.org". 2014.
- Article Fedor Bogomolov, Böhning C. Stable cohomology of alternating groups // Central European Journal of Mathematics. 2014. Vol. 12. No. 2. P. 212-228. doi
- Preprint F.A. Bogomolov, Vik.S. Kulikov. The ambiguity index of an equipped finite group / Cornell University. Series math "arxiv.org". 2014.
- Preprint Fedor Bogomolov, Tschinkel Y. Universal spaces for unramified Galois cohomology / Cornell University. Series math "arxiv.org". 2014.
- Book Birational geometry, rational curves, and arithmetic / Ed. by F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston : Birkhäuser, 2013.
- Article Fedor Bogomolov, De Oliveira B. Closed symmetric 2-differentials of the 1st kind // Pure and Applied Mathematics Quarterly. 2013. Vol. 9. No. 4. P. 613-642.
- Preprint Fedor Bogomolov, De Oliveira B. Closed symmetric 2-differentials of the 1st kind / Cornell University. Series math "arxiv.org". 2013.
- Article Bogomolov F. A., Rovinsky M. Collineation group as a subgroup of the symmetric group // Central European Journal of Mathematics. 2013. Vol. 11. No. 1. P. 17-26. doi
- Article Fedor Bogomolov, Tschinkel Y. Galois Theory and Projective Geometry // Communications on Pure and Applied Mathematics. 2013. Vol. 66. No. 9. P. 1335-1359.
- Chapter Fedor Bogomolov, Böhning C. Isoclinism and Stable Cohomology of Wreath Products, in: Birational geometry, rational curves, and arithmetic / Ed. by F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston : Birkhäuser, 2013. Ch. 3. P. 57-76.
- Article Bogomolov F. A., Prokhorov Y. On stable conjugacy of finite subgroups of the plane Cremona group, I // Central European Journal of Mathematics. 2013. Vol. 11. No. 12. P. 2099-2105. doi
- Preprint Fedor Bogomolov, Yuri Prokhorov. On stable conjugacy of finite subgroups of the plane Cremona group, I / Cornell University. Series math "arxiv.org". 2013.
- Article Bogomolov F. A., Kulikov V. S. On the irreducibility of Hilbert scheme of surfaces of minimal degree // Central European Journal of Mathematics. 2013. Vol. 11. No. 2. P. 254-263. doi
- Preprint Fedor Bogomolov, Böhning C. On uniformly rational varieties / Cornell University. Series math "arxiv.org". 2013.
- Chapter Fedor Bogomolov, Karzhemanov I., Karine Kuyumzhiyan. Unirationality and existence of infinitely transitive models, in: Birational geometry, rational curves, and arithmetic / Ed. by F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston : Birkhäuser, 2013. Ch. 4. P. 77-92.
- Preprint Fedor Bogomolov, Rovinsky M. Collineation group as a subgroup of the symmetric group / Cornell University. Series math "arxiv.org". 2012.
- Preprint Bogomolov F. A., Böhning C. Isoclinism and stable cohomology of wreath products / Cornell University. Series math "arxiv.org". 2012.
- Article Bogomolov F. A., Böhning C., Graf von Bothmer H. Linear bounds for levels of stable rationality // Central European Journal of Mathematics. 2012. Vol. 10. No. 2. P. 466-520. doi
- Article Bogomolov F. A., Kulikov V. S. On the diffeomorphic type of the complement to a line arrangement in a projective plane // Central European Journal of Mathematics. 2012. Vol. 10. No. 2. P. 521-529. doi
- Preprint Fedor Bogomolov, Böhning C. Stable cohomology of alternating groups / Cornell University. Series math "arxiv.org". 2012.
- Preprint Bogomolov F. A., Karzhemanov I., Kuyumzhiyan K. Unirationality and existence of infinitely transitive models / Cornell University. Series math "arxiv.org". 2012. No. 1204.0862.
- Article Bogomolov F. A., Tschinkel Y., Hassett B. Constructing rational curves on K3 surfaces // Duke Mathematical Journal. 2011. Vol. 157. No. 3. P. 535-550.
- Article Bohning C., Graf von Bothmer H., Bogomolov F. A. Rationality of quotients by linear actions of affline groups // Science China Mathematics. 2011. Vol. 54. No. 8. P. 1521-1532.
- Article Bogomolov F. A., Tschinkel Y. Reconstruction of higher-dimensional function fields // Moscow Mathematical Journal. 2011. Vol. 2. No. 11. P. 185-204.
- Article Bogomolov F. A., Amerik E., Rovinsky M. Remarks on endomorphisms and rational points // Compositio Mathematica. 2011. Vol. 148. No. 6. P. 1819-1842. doi
- Article Oliveira B., Bogomolov F. A. Symmetric Differentials of Rank 1 and Holomorphic Maps // Pure and Applied Mathematics Quarterly. 2011. Vol. 7. No. 4. P. 1085-1104.
- Article Petrov T., Bogomolov F. A. Unramified cohomology of alternating group // Central European Journal of Mathematics. 2011. Vol. 9. No. 5. P. 936-948.
- Book Cohomological and Geometric Approaches to Rationality Problems / Сост.: Fedor Bogomolov, Y. Tschinkel. Boston : Birkhäuser, 2010.
- Chapter Fedor Bogomolov, Petrov T., Tschinkel Y. Unramified Cohomology of Finite Groups of Lie Type, in: Cohomological and Geometric Approaches to Rationality Problems / Сост.: Fedor Bogomolov, Y. Tschinkel. Boston : Birkhäuser, 2010. P. 55-73.
- Article Maciel J., Bogomolov F. A. A version of Brauer's theorem for integer central functions // Central European Journal of Mathematics. 2009. No. 7:1. P. 61-65.
- Article Bogomolov F. A., Tschinkel Y. Co-fibered products of algebraic curves // Central European Journal of Mathematics. 2009. No. 7:3. P. 382-386.
- Article Petrov T., Bogomolov F. A., Tschinkel Y. Nonramified cohomology of finite simple groups // Progress in Mathematics. 2009. No. 282. P. 55-73.
- Article Bogomolov F. A., Zarhin Y. Ordinary reduction of K3 surfaces // Central European Journal of Mathematics. 2009. No. 7:2. P. 206-213.
- Article Bogomolov F. A., Korotiaev M., Tschinkel Y. Torelli theorem over finite fields // Pure and Applied Mathematics Quarterly. 2009. No. 6:1. P. 245-294.
- Article Tschinkel Y., Bogomolov F. A. On a theorem of Tate // Central European Journal of Mathematics. 2008. No. 6:3. P. 343-350.
Permanent adress
Doctor Fedor A. Bogomolov is a Full Professor, Courant Institute, New York and the head of postgraduate studies.
Since November 2010 he is an Academic Supervisor of Laboratory of algebraic geometry and its applications in Moscow.
Other
А member of Chern Committee (China).
One of the trustees at the Institute for Geometry and Physics Miami-Cinvestav-Campinas, Collaboration in the Americas in Geometry and Physics.
‘We Managed to Create Another Centre of Mathematical Life in Moscow’
In celebration of Russia’s Year of Science and Technology, we continue our series about HSE University’s international laboratories, which are headed by world-class scientists and scholars. The first of these, the Laboratory of Algebraic Geometry and Its Applications, was established in October 2010. Below, Laboratory Head Dmitry Kaledin discusses the Lab’s history, research, achievements, and current activities.
Fedor Bogomolov, Academic Supervisor of the Laboratory of Algebraic Geometry and Its Applications, Becomes Member of the Academia Europaea
Fedor Bogomolov was invited to to become a member of the Academia Europaea for his outstanding achievements as a researcher.
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.
International Laboratory for Mirror Symmetry and Automorphic Forms
The new International Laboratory for Mirror Symmetry and Automorphic Forms will open at HSE’s Faculty of Mathematics in 2017. This project, overseen by Ludmil Katzarkov (Professor at the University of Miami), won the Fifth Mega-Grants Competition of the Government of the Russian Federation.
Sergei Lando Celebrates His 60th Birthday
On July 9, Professor and first dean of the HSE’s Faculty of Mathematics Sergei Lando celebrates his 60th birthday.
HSE International Laboratories Celebrate 5 Year Anniversary
It is five years since the HSE began setting up international laboratories. HSE’s Deputy Vice-Rector, Marina Litvintseva, Head of Laboratory for Algebraic Geometry, Fedor Bogomolov, and Ronald Inglehart and Eduard Ponarin from HSE Laboratory for Comparative Social Research reflect on the results of the work conducted last year and on the achievements of the laboratories.
Andrey Okounkov: 'Happiness Is not about Proving Something to Other People'
In the whole history of mathematics just 8 winners of the highest award - the Field Prize - have come from Russia. One of them is Andrey Okounkov, Academic Supervisor at theInternational Laboratory of Representation Theory and Mathematical Physics HSE. On Hamburg Reckoning, a weekly programme which broadcasts interviews with major academics on current Russian issues on the OTR TV channel, he talked about his journey from economics to mathematics, about the Faculty of Mathematics at HSE and what makes mathematicians happy.
'It’s Good to See that Society Is Starting to Listen to Scholars’ Opinion'
Last Friday, the day before Russian Science Day, we published stories by several HSE scientists on how they got into science. We received a lot of responses, so we decided to continue the project. Today, another four HSE scholars, including one Nobel laureate, discuss their journeys into science.
The Faculty of Mathematics: A Niche for Talented People Who Don't Want to Deal with Ideology
The first issue of The HSE Look in 2015 brings our Faculty of Mathematics into the spotlight. The Dean of the faculty, Professor Sergei Lando, talks about the life of the collective that he heads and about mathematical education in Russia then and now.
An International Laboratory of Mathematical Finance Will Appear at the HSE
One of the HSE’s applications was a winner at the third competition to attract leading researchers to Russian universities. The competition was held by Decree No. 220 of the Government of the Russian Federation. A new Laboratory of Mathematical Finance at the HSE will be headed by Yury Kabanov, Professor at the University of Franche-Comté (Besançon).
Jacques-Francois Thisse: ‘You Need To Be Close In Order To Act Promptly’
On October 3rd Jacques-Francois Thisse, Professor of Economics and Regional Science at the Université catholique de Louvain (Belgium) gave a press conference at the Higher School of Economics.
Attracting the Best Scientists – 2
On September 21st the Russian Government Grant Council announced the names of the winners of the second open competition for Russian Government grants for state support of scientific research conducted under the supervision of leading scientists in Russian universities. Among the 39 winners were two applications from the Higher School of Economics.