Vladimir Popov

Professor:HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE) / School of Applied Mathematics

Vladimir Popov has been at HSE University since 2012.

Education, Degrees and Academic Titles

2016
Corresponding Member of the Russian Academy of Sciences
1986
Professor
1984
Doctor of Sciences* in Mathematical Logic, Algebra and Number Theory
Thesis Title: Groups, Generators, Syzygies, and Orbits in Invariant Theory
1972
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Thesis Title: Stability of Action of Algebraic Groups and Arithmetic of Quasihomogeneous Varieties
1971
Doctoral programme in Mathematician
Lomonosov Moscow State University, Mechanics and Mathematics
1969
Degree
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.

* 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.

Awards and Accomplishments

Best Teacher – 2020, 2019, 2018, 2017, 2016, 2014

Publications¹¹³

Preprint Vladimir L. Popov. Picard group of connected affine algebraic group / Cornell University. Series math "arxiv.org". 2023. No. 2302.13374.
Preprint Vladimir L. Popov. Rational differential forms on the variety of flexes of plane cubics / Cornell University. Series math "arxiv.org". 2023. No. 2302.13364.
Article Попов В. Л. Вложения групп автоморфизмов свободных групп в группы автоморфизмов аффинных алгебраических многообразий // Труды Математического института им. В.А. Стеклова РАН. 2023. Т. 320. № 1 (in press)
Preprint Vladimir L. Popov. Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties / Cornell University. Series math "arxiv.org". 2022. No. 2207.13072. doi
Preprint Vladimir L. Popov. Faithful actions of automorphism groups of free groups on algebraic varieties / Cornell University. Series math "arxiv.org". 2022. No. 2207.08912. doi
Preprint Vladimir L. Popov. Rationality of adjoint orbits / Cornell University. Series math "arxiv.org". 2022. No. 2206.14040. doi
Article Попов В. Л. Групповые многообразия и групповые структуры // Известия РАН. Серия математическая. 2022. Т. 86. № 5. С. 73-96. doi
Article Vladimir L. Popov. Algebraic groups whose orbit closures contain only finitely many orbits // Transformation Groups. 2021. Vol. 26. No. 2. P. 671-689. doi
Preprint Vladimir L. Popov. Embeddings of groups Aut(F_n) into automorphism groups of algebraic varieties / Cornell University. Series math "arxiv.org". 2021. No. 2106.02072.
Article V. L. Popov. Group structures on algebraic varieties / Пер. с рус. // Doklady Mathematics, USA. 2021. Vol. 104. No. 2. P. 264-266. doi
Preprint Vladimir L. Popov. On algebraic group varieties / Cornell University. Series math "arxiv.org". 2021. No. 2102.08032.
Article Popov Vladimir L., Zarhin Y. G. Root lattices in number fields // Bulletin of Mathematical Sciences. 2021. Vol. 11. No. 3. P. 2050021-1-2050021-22. doi
Article Vladimir L. Popov, Zarhin Y. G. Root systems in number fields // Indiana University Mathematics Journal. 2021. Vol. 70. No. 1. P. 285-300. doi
Preprint Vladimir L. Popov. Underlying varieties and group structures / Cornell University. Series math "arxiv.org". 2021. No. 2105.12861.
Article В. Л. Попов Групповые структуры на алгебраических многообразиях // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2021. Т. 500. № 1. С. 52-54. doi
Article Popov V. L., Zarhin Y. G. Rings of integers in number fields, and root lattices / Пер. с рус. // Doklady Mathematics, USA. 2020. Vol. 101. No. 3. P. 221-223. doi
Preprint Popov V. L., Zarhin Y. G. Root lattices in number fields / Cornell University. Series math "arxiv.org". 2020.
Chapter Vladimir L. Popov. Variations on the Theme of Zariski’s Cancellation Problem, in: International Conference on Polynomial Rings and Affine Algebraic Geometry Vol. 319: Polynomial Rings and Affine Algebraic Geometry, PRAAG 2018, Tokyo, Japan, February 12−16. Springer, 2020. doi P. 233-250. doi
Book Попов В. Л., Сухоцкий Г. В. Аналитическая геометрия : учебник и практикум для вузов. М. : Юрайт, 2020.
Article Попов В. Л., Зархин Ю. Г. Кольца целых в числовых полях и решетки корней // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2020. Т. 492. № 3. С. 58-61. doi
Article Gorchinskiy S. O., Kulikov Vik. S., Parshin A. N., Popov V. L. Igor Rostislavovich Shafarevich and his mathematical heritage / Пер. с рус. // Proceedings of the Steklov Institute of Mathematics. 2019. Vol. 307. P. 1-21. doi
Article Popov V. L. On Conjugacy of Stabilizers of Reductive Group Actions / Пер. с рус. // Mathematical notes. 2019. Vol. 105. No. 3-4. P. 580-581. doi
Preprint Vladimir L. Popov. On conjugacy of stabilizers of reductive group actions / Cornell University. Series math "arxiv.org". 2019.
Article V. L. Popov. Orbit closures of the Witt group actions / Пер. с рус. // Proceedings of the Steklov Institute of Mathematics, Springer. 2019. Vol. 307. P. 193-197. doi
Article V. L. Popov. Rational differential forms on the variety of flexes of plane cubics / Пер. с рус. // Russian Mathematical Surveys. 2019. Vol. 74. No. 3. P. 543-545. doi
Article V. L. Popov. Three plots about the Cremona groups / Пер. с рус. // Izvestiya: Mathematics, England. 2019. Vol. 83. No. 4. P. 830-859. doi
Preprint Vladimir L. Popov. Variations on the theme of Zariski's Cancellation Problem / Cornell University. Series math "arxiv.org". 2019. No. 1901.07030.
Article Попов В. Л. Замыкания орбит действий групп Витта // Труды Математического института им. В.А. Стеклова РАН. 2019. Т. 307. С. 212-216. doi
Article В. Л. Попов О сопряжённости стабилизаторов действий редуктивных групп // Математические заметки. 2019. Т. 105. № 4. С. 589-591. doi
Article В. Л. Попов Рациональные дифференциальные формы на многообразии точек перегиба плоских кубик // Успехи математических наук. 2019. Т. 74. № 3(447). С. 185-186. doi
Article Попов В. Л. Три сюжета о группах Кремоны // Известия РАН. Серия математическая. 2019. Т. 84. № 4. С. 194-225. doi
Article Popov V. L. Compressible finite groups of birational automorphisms // Doklady Mathematics. 2018. Vol. 98. No. 2. P. 413-415. doi
Book Kac, V. G., Popov, Vladimir L. Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant / Отв. ред.: V. G. Kac, Vladimir L. Popov. Vol. 326. Birkhäuser, 2018. doi
Chapter Vladimir L. Popov. Modality of representations and geometry of θ-groups, in: Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant / Отв. ред.: V. G. Kac, Vladimir L. Popov. Vol. 326. Birkhäuser, 2018. doi Ch. 16. P. 459-479. doi
Preprint Vladimir L. Popov, Zarhin Y. G. Root symstems in number fields / Max-Planck-Institut für Mathematik, Bonn. Series MPIM 18-38 "Max-Planck-Institut für Mathematik Preprint Series". 2018. No. 38.
Preprint Popov V. L., Zarhin Y. G. Root systems in number fields / Cornell University. Series math "arxiv.org". 2018. No. 1808.01136.
Article V. L. Popov. The Jordan property for Lie groups and automorphism groups of complex spaces // Mathematical notes. 2018. Vol. 103. No. 5. P. 811-819. doi
Preprint Vladimir L. Popov. The Jordan property for Lie groups and automorphism groups of complex spaces / Cornell University. Series math "arxiv.org". 2018. No. 1804.00323v1. doi
Preprint Vladimir L. Popov. Three plots about the Cremona groups / Cornell University. Series math "arxiv.org". 2018. No. 1810.00824. doi (in press)
Article V. L. Popov, Zarhin Y. G. Types of root systems in number fields // Doklady Mathematics. 2018. Vol. 98. No. 3. P. 600-602. doi
Book Freudenburg G. Algebraic Theory of Locally Nilpotent Derivations / Ed. by R. V. Gamkrelidze, Vladimir L. Popov. Vol. 136: Encyclopaedia of Mathematical Sciences. Book VII: Subseries: Invariant Theory and Algebraic Transformation Groups. Springer, 2017. doi
Preprint Vladimir L. Popov. Algebraic groups whose orbit closures contain only finitely many orbits / Cornell University. Series math "arxiv.org". 2017. No. 1707.06914 [math.AG]. (in press)
Chapter Vladimir L. Popov. Bass' triangulability problem, in: Advanced Studies in Pure Mathematics Vol. 75: Algebraic Varieties and Automorphism Groups. Tokyo : The Mathematical Society of Japan, 2017. P. 425-441.
Article V. L. Popov. Borel subgroups of Cremona groups / Пер. с рус. // Mathematical notes. 2017. Vol. 102. No. 1. P. 60-67. doi
Article Vladimir L. Popov. Do we create mathematics or do we gradually discover theories which exist somewhere independently of us? // The European Mathematical Society Newsletter. 2017. Vol. 103 (March). P. 37-37.
Preprint Vladimir L. Popov. Modality of representations / Cornell University. Series math "arxiv.org". 2017. No. arXiv:1707.07720v1 [math.RT] 24 Jul 2017. (in press)
Article V. L. Popov. On modality of representations / Пер. с рус. // Doklady Mathematics. 2017. Vol. 96. No. 1. P. 312-314. doi
Article В. Л. Попов Борелевские подгруппы групп Кремоны // Математические заметки. 2017. Т. 102. № 1. С. 72-80. doi
Chapter В. Л. Попов Дискретные группы, порождённые комплексными отражениями // В кн.: VI конференция по алгебраической геометрии и комплексному анализу для молодых математиков России. М. : Математический институт им. В. А. Стеклова РАН, 2017. С. 9-10.
Article В. Л. Попов О модальности представлений // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2017. Т. 475. № 1. С. 14-16. doi
Article Vladimir L. Popov. Algebras of general type: rational parametrization and normal forms // Proceedings of the Steklov Institute of Mathematics. 2016. Vol. 292. P. 209-223. doi
Article Vladimir L. Popov. Birational splitting and algebraic group actions // European Journal of Mathematics. 2016. Vol. 2. No. 1 . P. 283-290. doi
Article V. L. Popov. Subgroups of the Cremona groups: Bass’ problem // Doklady Mathematics. 2016. Vol. 93. No. 3. P. 307-309. doi
Article В. Л. Попов Алгебры общего типа: рациональная параметризация и нормальные формы // Труды Математического института им. В.А. Стеклова РАН. 2016. Т. 292. С. 209-223. doi
Book В. Л. Попов, Г. В. Сухоцкий Аналитическая геометрия. Учебник и практикум. М. : Юрайт, 2016.
Article В. Л. Попов Подгруппы групп Кремоны: проблема Басса // Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2016. Т. 468. № 5. С. 499-501. doi
Chapter В. Л. Попов Рациональность (ко)присоединенных орбит // В кн.: Международная конференция по алгебраической геометрии, комплексному анализу и компьютерной алгебре. М. : Математический институт им. В. А. Стеклова РАН, 2016. С. 84-85.
Article Vladimir L. Popov. Around the Abhyankar–-Sathaye conjecture // Documenta Mathematica. 2015. Vol. Extra Volume: Merkurjev's Sixtieth Birthday. P. 513-528.
Preprint Vladimir L. Popov. Bass' triangulability problem / Cornell University. Series math "arxiv.org". 2015. No. 1504.03867.
Preprint Vladimir L. Popov. Birational splitting and algebraic group actions / Cornell University. Series math "arxiv.org". 2015. No. 1502.02167.
Book Derksen H., Kemper G. Computational Invariant Theory. 2nd Enlarged Ed. with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov / Ed. by R. V. Gamkrelidze, Vladimir L. Popov. Vol. 130: Encyclopaedia of Mathematical Sciences. Issue VIII: Invariant Theory and Algebraic Transformation Groups. Heidelberg : Springer, 2015. doi
Article Vladimir L. Popov. Finite subgroups of diffeomorphism groups // Proceedings of the Steklov Institute of Mathematics. 2015. Vol. 289. P. 221-226.
Article V. L. Popov. Number of components of the nullcone // Proceedings of the Steklov Institute of Mathematics. 2015. Vol. 290. P. 84-90.
Preprint Vladimir L. Popov. Number of components of the nullcone / Cornell University. Series math "arxiv.org". 2015. No. 1503.08303. (in press)
Article Vladimir L. Popov. On the equations defining affine algebraic groups // Pacific Journal of Mathematics. 2015. Vol. 279. No. 1--2 (Special issue In memoriam: Robert Steinberg). P. 423-446. doi
Preprint Vladimir L. Popov. On the equations defining affine algebraic groups / Cornell University. Series math "arxiv.org". 2015. No. 1508.02860. (in press)
Article В. Л. Попов Конечные подгруппы групп диффеоморфизмов // Труды Математического института им. В.А. Стеклова РАН. 2015. Т. 289. С. 235-241.
Chapter В. Л. Попов Проблема Басса о триангулируемости подгрупп групп Кремоны // В кн.: V школа-конференция по алгебраической геометрии и комплексному анализу для молодых математиков России. Математический институт им. В. А. Стеклова РАН, 2015. С. 83-87.
Article В. Л. Попов Число компонент нуль-конуса // Труды Математического института им. В.А. Стеклова РАН. 2015. Т. 290. С. 95-101.
Preprint Vladimir L. Popov. Around the Abhyankar–-Sathaye conjecture / Cornell University. Series math "arxiv.org". 2014. No. 1409.6330. (in press)
Preprint Vladimir L. Popov. Generic algebras: rational parametrization and normal forms / Cornell University. Series math "arxiv.org". 2014. No. 1411.6570. (in press)
Article Vladimir L. Popov. Jordan groups and automorphism groups of algebraic varieties // Springer Proceedings in Mathematics & Statistics. 2014. Vol. 79. P. 185-213.
Article Vladimir L. Popov. On infinite dimensional algebraic transformation groups // Transformation Groups. 2014. Vol. 19. No. 2. P. 549-568. doi
Preprint Vladimir L. Popov. On infinite dimensional algebraic transformation groups / Cornell University. Series math "arxiv.org". 2014. No. 1401.0278.
Chapter Vladimir L. Popov. Quotients by conjugation action, cross-sections, singularities, and representation rings, in: Oberwolfach Reports Vol. 11. Issue 1. European Mathematical Society Publishing house, 2014. P. 156-159.
Article Вавилов Н. А., Винберг Э. Б., Панин И. А., Панов А. Н., Паршин А. Н., Платонов В. П., Попов В. Л. Валентин Евгеньевич Воскресенский // Успехи математических наук. 2014. Т. 69. № 4(418). С. 177-178.
Chapter В. Л. Попов Жордановость групп автоморфизмов многообразий // В кн.: Современные проблемы математики и естественнонаучного знания. Северный (Арктический) федеральный университет имени М.В. Ломоносова, 2014. С. 66-70.
Chapter Popov V. Algebraic groups and the Cremona group, in: Oberwolfach Reports Vol. 10. Issue 2. European Mathematical Society Publishing house, 2013. P. 1053-1055.
Preprint Vladimir L. Popov. Finite subgroups of diffeomorphism groups / Cornell University. Series math "arxiv.org". 2013. No. 1310.6548v1 [math.GR] 24 Oct. (in press)
Preprint Vladimir L. Popov. Jordan groups and automorphism groups of algebraic varieties / Cornell University. Series math "arxiv.org". 2013. No. 1307.5522.
Article Vladimir L. Popov. Rationality and the FML invariant // Journal of the Ramanujan Mathematical Society. 2013. Vol. 28A. No. Special Issue-2013 dedicated to C.S.Seshadri's 80th birthday. P. 409-415.
Chapter Vladimir L. Popov. Some subgroups of the Cremona groups, in: Affine Algebraic Geometry, Proceedings of the Conference, Osaka, Japan, 3-6 March 2011. L., Singapore, New Jersey : World Scientific, 2013. Ch. 10. P. 213-242.
Article Popov V. Tori in the Cremona groups // Izvestiya. Mathematics. 2013. Vol. 77. No. 4. P. 742-771.
Article Востоков С. В., Горчинский С. О., Жеглов А. Б., Зархин Ю. Г., Нестеренко Ю. В., Орлов Д.О., Осипов Д. В., Попов В.Л., Сергеев А.Г., Шафаревич И. Р. Алексей Николаевич Паршин (к семидесятилетию со дня рождения) // Успехи математических наук. 2013. Т. 68. № 1(409). С. 201-207.
Article Попов В. Л. Торы в группах Кремоны // Известия РАН. Серия математическая. 2013. Т. 77. № 4. С. 103-134.
Preprint Popov V. Problems for the problem session / Centro Internazionale per la Ricerca Matematica. Series CIRM "Electronic preprint server". 2012. No. нет.
Preprint Popov V. Rationality and the FML invariant / Bielefeld University. Series LAGRS "Linear Algebraic Groups and Related Structures". 2012. No. 485.
Preprint Popov V. Tori in the Cremona groups / Cornell University. Series math "arxiv.org". 2012. No. arXiv:1207.5205v3.
Book Кокс Д. А., Катц Ш. Зеркальная симметрия и алгебраическая геометрия / Пер. с англ. (под ред.: В. Л. Попов). М. : МЦНМО, 2012.
Article V. L. Popov. Cross-sections, quotients, and representation rings of semisimple algebraic groups // Transformation Groups. 2011. Vol. 16. No. 3. P. 827-856.
Book Timashev D. A. Homogeneous spaces and equivariant embeddings / Ed. by R. V. Gamkrelidze, Vladimir L. Popov. Vol. 138: Encyclopaedia of Mathematical Sciences. Book VIII: Invariant Theory and Algebraic Transformation Groups. L., NY, Dordrecht, Heidelberg : Springer, 2011.
Article Colliot-Thélène J., Kunyavskiĭ B., Vladimir L. Popov, Reichstein Z. Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? // Compositio Mathematica. 2011. Vol. 147. No. 2. P. 428-466.
Book Campbell H. E., Wehlau D. L. Modular invariant theory / Ed. by R. V. Gamkrelidze, Vladimir L. Popov. Vol. 139: Encyclopaedia of Mathematical Sciences. Book IX: Subseries Invariant Theory and Algebraic Transformation Groups. L., NY, Dordrecht, Heidelberg : Springer, 2011.
Chapter Vladimir L. Popov. On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties, in: CRM Proceedings & Lecture Notes Vol. 54: Affine Algebraic Geometry: The Russell Festschrift. Providence : American Mathematical Society, 2011. P. 289-311.
Chapter В. Л. Попов Инвариантные рациональные функции на полупростых алгебрах Ли и гипотеза Гельфанда-–Кириллова // В кн.: Алгебра и математическая логика, Международная конференция, посвященная 100-летию со дня рождения профессора В. В. Морозова (Казань, 25–-30 сентября 2011 г.). Каз. : Казанский (Приволжский) федеральный университет, 2011. С. 19-19.
Chapter V. L. Popov. Discrete complex reflection groups, in: Geometry, Topology, Algebra and Number Theory, Applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–-1980) (August 16–-20, 2010). M. : Steklov Mathematical Institute, 2010. P. 140-140.
Preprint Vladimir L. Popov. The cone of Hilbert nullforms / Cornell University. Series math "arxiv.org". 2010. No. 1009.6107.
Article V. L. Popov. Algebraic cones // Mathematical notes. 2009. Vol. 86. No. 5-6. P. 892-894.
Article Vladimir L. Popov. Two orbits: When is one in the closure of the other? // Proceedings of the Steklov Institute of Mathematics. 2009. Vol. 264. No. 1. P. 146-158.
Article В. Л. Попов Алгебраические конусы // Математические заметки. 2009. Т. 86. № 6. С. 947-949.
Article В. Л. Попов Две орбиты: когда одна лежит в замыкании другой? // Труды Математического института им. В.А. Стеклова РАН. 2009. Т. 264. С. 152-164.
Article Vladimir L. Popov. Irregular and singular loci of commuting varieties // Transformation Groups. 2008. Vol. 13. No. 3--4. P. 819-837.
Book Lakshmibai V., Raghavan K. N. Standard Monomial Theory. Invariant Theoretic Approach / Ed. by R. V. Gamkrelidze, Vladimir L. Popov. Vol. 137: Encyclopaedia of Mathematical Sciences. Book VIII: Subseries Invariant Theory and Algebraic Transformation Groups. Berlin, Heidelberg : Springer, 2008.
Article Vladimir L. Popov. Birationally nonequivalent linear actions. Cayley degrees of simple algebraic groups. Singularities of two-dimensional quotients // Oberwolfach Reports. 2007. Vol. 4. No. 1. P. 75-78.
Chapter V. L. Popov. Finite linear groups, lattices, and products of elliptic curves, in: International Algebraic Conference Dedicated to the 100th Anniversary of D. K. Faddeev (St. Petersburg, September 24–29, 2007). St. Petersburg : The Euler International Mathematical Institute, [б.г.]. P. 148-149.
Chapter Vladimir L. Popov. Generically multiple transitive algebraic group actions, in: Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai 2004) Issue 19. Chennai, Mumbai, Kolkata : Narosa Publishing House, 2007. P. 481-523.
Chapter Lemire N., Vladimir L. Popov, Reichstein Z. On the Cayley degree of an algebraic group, in: Proceedings of the “XVI Coloquio Latinoamericano de Álgebra” (Colonia, 2005). Biblioteca de la Revista Matemática Iberoamericana, 2007. P. 87-97.
Article Vladimir L. Popov. Quasihomogeneous affine threefolds // Oberwolfach Reports. 2007. Vol. 4. No. 1. P. 13-16.
Article Vladimir L. Popov. Tensor product decompositions and open orbits in multiple flag varieties // Journal of Algebra. 2007. Vol. 313. No. 1. P. 392-416.
Book Freudenburg G. Algebraic Theory of Locally Nilpotent Derivations / Отв. ред.: R. V. Gamkrelidze, Vladimir L. Popov. Vol. 136: Encyclopaedia of Mathematical Sciences. Book VII: Subseries Invariant Theory and Algebraic Transformation Groups. Berlin, NY, Heidelberg : Springer, 2006.
Article Lemire N., Vladimir L. Popov, Reichstein Z. Cayley groups // Journal of the American Mathematical Society. 2006. Vol. 19. No. 4. P. 921-967.
Article Vladimir L. Popov, Zarhin Y. G. Finite linear groups, lattices, and products of elliptic curves // Journal of Algebra. 2006. Vol. 305. No. 1. P. 562-576.
Article Losik M., Michor P. W., Vladimir L. Popov. On polarizations in invariant theory // Journal of Algebra. 2006. Vol. 301. No. 1. P. 406-424.

Editorial board membership

Since March 2021, "The European Mathematical Society Newsletter" has been renamed to "EMS Magazine".
2020: Editor-in-chief (Executive Managing Editor с 1996 г. по 2020 г.), Transformation Groups.
2020: Member of the Editorial Board, Труды Московского математического общества (Transactions of the Moscow Mathematical Society).
2006: Member of the Editorial Board, Известия Российской академии наук. Серия математическая.
2003: Member of the Editorial Board, Математические заметки (Mathematical notes).
2014–2022: Member of the Editorial Board, The European Mathematical Society Newsletter.
2001–2020: Member of the Editorial Board, Journal of Mathematical Sciences (Journal of Mathematical Sciences ).
1989–1999: Member of the Editorial Board, Geometriae Dedicata.

Grants

Granting program Contemporary Problems of Theoretical Mathematics of the Mathematics Branch of the Russian Academy of Sciences.
Chief Executant, RNF Grant 19-11-00237 (2019--2021)

Conferences

2013
Algebraic Groups (Oberwolfach). Presentation: Algebraic groups and the Cremona group
Международная конференция, посвященная 90-летию академика И. Р. Шафаревича (Москва). Presentation: Вопросы Гротендика о действиях полупростых групп на себе сопряжениями
Научная сессия МИАН, посвященная подведению итогов 2013 г. (Москва). Presentation: Строение алгебраических подгрупп групп автоморфизмов алгебраических многообразий и, в частности, группы Кремоны Cr(n)
Семинар отдела алгебры и теории чисел и отдела алгебраической геометрии (семинар И. Р. Шафаревича) (Москва). Presentation: Жордановы группы и группы автоморфизмов алгебраических многообразий

Main affiliation

The Steklov Mathematical Institute, Russian Academy of Sciences, Leading Research Fellow

Personal web-page at the Steklov Mathematical Institute that contains the details of scientific career, complete list of publications, titles and video recordings of some talks

http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=8935

Editorial appointments

Transformation Groups (Birkhäuser), 1996--present (Editor-in-Chief);
Izvestiya, Mathematics [Известия РАН, серия математическая] (Russian Academy of Sciences), 2006--present;
Invariant Theory and Algebraic Transformation Groups, Subseries of Encyclopaedia of Mathematical Sciences (Springer), 1998--present;
Mathematical Notes [Математические заметки] (Russian Academy of Sciences), 2003--present;
Journal of Mathematical Sciences (Springer), 2008--present; Editorial Board of JMS.pdf
Geometriae Dedicata (Klüwer), 1989--1999.

Honors

2013: A series of papers on the structure of algebraic subgroups of automorphism groups of algebraic varieties and, in particular, of the Cremona group Cr(n) is recognized as one of the best in the Steklov Mathematical Institute. 1307.5522v5.pdf tori.pdf Cremona.pdf rationality.pdf
Elected in November 2012: Fellow of the American Mathematical Society Fellow of the AMS.pdf (see on the site of AMS the list of Fellows sorted by country and institution)

2008--2010: Core member of the panel for Section 2, "Algebra", International Congress of Mathematicians 2010.

2010: The paper J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?, Compositio Mathematica, 147:2 (2011), 428–466 is recognized as one of the best in the Steklov Mathematical Institute. FF_p1.pdf

2008: John-von-Neumann-Gastprofessur, Technische Universität München, Germany. JvN_p.pdf

2007: The 2007 Colligwood lecture, Durham University, UK. Cl.pdf

2005: The paper N. Lemire, V. L. Popov, Z. Reichstein, Cayley groups, Journal of the American Mathematical Society, 19:4 (2006), 921–967 is recognized as one of the best in the Russian Academy of Sciences. CG_p1.pdf

2002: The paper N. L. Gordeev, V. L. Popov, Automorphism groups of finite dimensional simple algebras, Annals of Mathematics (2), 158:3 (2003), 1041–1065 is recognized as one of the best in the Steklov Mathematical Institute. AG_p1.pdf

2001: Invited plenary address, XV Kongress, Österreichische Mathematische Gesellschaft, Vienna, Austria ( http://www.oemg.ac.at/Tagungen/2001/ ).

1998--1999: Invited Noted Scholar, Heidelberg, Germany.

1996: Invited Noted Scholar, the University of British Columbia, Vancouver, Canada.

1992: Habilitation is published by AMS as the monograph V. L. Popov, Groups, Generators, Syzygies, and Orbits in Invariant Theory, Translations of Mathematical Monographs, 100, American Mathematical Society, Providence, RI, 1992, ISBN: 0-8218-4557-8, vi+245 pp.

1986: Invited sectional address, the International Congress of Mathematicians, Algebra Section, Berkeley, USA. MDIT_p1.pdf

1986: J. Dixmier's talk at Séminaire Bourbaki Quelques résults de finitude en théorie des invariants (d'après V. L Popov), 38ème année 1985-86, no. 659, pp. 163-175. apres Popov.pdf

1972: PhD Thesis with Distinguished Honors (summa cum laude).

1969: First Prize, graduate students research competition, Department of Mathematics, Moscow State University Lomonosov, for the paper V. L. Popov, Stability criteria for the action of a semisimple group on a factorial manifold, Math. USSR-Izv., vol. 4 (1970), no. 3, 527–535. SC_p1.pdf bre.pdf

Membership in Dissertation Council

Member of Dissertation Council D 002.022.03 at the Steklov Mathematical Institute of the Russina Academy of Sciences (specialities 01.01.04 and 01.01.06).

Seminar and conference talks in 2007--2015

2015
1. Vladimir L. Popov, About Grothendieck,
Meeting "Alexander Grothendieck (1928--2014) and mathematics of XXth century" of the Section of Mathematics, Central House of Scientists of the RAS, February 19, 2015, 18:30.

2014
1. Vladimir L. Popov, Simple algebras and invariants of linear actions, Joint seminar of Department of algebra and number theory and Department of algebraic geometry (Shafarevich seminar), Steklov Mathematical Institute, Russian Academy of Sciences, November 18, 2014, 15:00

2. Vladimir L. Popov, Orbit closures of algebraic group actions, International conference ``Geometry, Topology and Integrability'', October 20-25, 2014, Skolkovo Institute of Science and Technology, Moscow, October 23, 2014, 12:50-13:30

3. Vladimir L. Popov, Orbit closures, International conference ``Geometric Complexity Theory'', September 15--20, 2014, Simons Institute for Theoretical Computing, Berkeley University of California, USA, September 16, 2014, 9:00-9:50

4. V. L. Popov, Quotients by conjugation action, cross-sections, singularities, and representation rings, Workshop ID: 1404, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras, The Mathematisches Forschungsinstitut Oberwolfach, Germany, 19.01.2014--25.01.2014

5. V. L. Popov, Automorphism groups of algebraic varieties, Steklov Mathematical Institute Seminar, March 27, 2014, 16:00.

6. Vladimir L. Popov, Finite group actions on algebraic varieties: a "social" approach, Kyoto Workshop on Algebraic Varieties and Automorphism Groups, July 7--11, 2014, Research Institute for Mathematical Sciences, Kyoto University, Japan, July 10, 2014, 10:00-11:00

7. Vladimir L. Popov, Infinite dimensional automorphism groups of algebraic varieties, multiple transitivity, and unirationality, Workshop ``Frontiers of rationality'', July 14--18, 2014, The University Centre in Svalbard, Longyearbyen (Spitsbergen), Norway, July 17, 2014, 14:00-15:00

2013
1. V. L. Popov, Structure of algebraic subgroups of automorphism groups of algebraic varieties and, in particular, the Cremona groups Cr(n), Scientific Session of Steklov Mathematical Institute devoted to the results of 2013, Steklov Mathematical Institute, Russian Academy of Sciences, November 20, 2013, 10:20

2. V. L. Popov, Jordan groups and automorphism groups of algebraic varieties, Joint seminar of Department of algebra and number theory and Department of algebraic geometry (Shafarevich seminar), Steklov Mathematical Institute, Russian Academy of Sciences, September 10, 2013, 15:00

3. V. L. Popov, Questions by Grothendieck on actions of semisimple groups on itself by conjugation, International conference dedicated to 90th birthday of aademician Igor Rostislavovich Shafarevich,
Steklov Mathematical institute RAS, June 5, 2013, 14:30.

4. V. L. Popov, Algebraic groups and the Cremona group, Workshop ID: 1315, Algebraic Groups, The Mathematisches Forschungsinstitut Oberwolfach, Germany, 07.04.2013--13.04.2013

5. V. L. Popov, Orbit closures, Research Workshop of Israel Science Foundation on Orbits, Primitive Ideals and Quantum Groups, The Weitsmann institute of Science, The University of Haifa, Israel, 24.02.2013--07.03.2013

6. V. L. Popov, Rational functions on semisimple Lie algebras and the Gelfand--Kirillov conjecture, International Conference in Memory of Tonny A. Springer "Algebraic Groups and Representation Theory", Hong Kong, 04.01.2013--09.01.2013

2012
1. V. L. Popov, Tori in the Cremona groups, Second one-day conference in memory of V. A. Iskovskikh, Steklov Mathematical Institute, Russian Academy of Sciences, 27.12.2012 - 27.12.2012

2. V. L. Popov, Simple algebras and the analogue of classical invariant theory for nonclassical groups, International conference Arithmetic as Geometry: Parshin Fest, Steklov Mathematical Institute, Russian Academy of Sciences, 26.11.2012 - 29.11.2012

3. V. L. Popov, Jordan groups and automorphism groups of algebraic varieties, International conference Groups of Automorphisms in Birational and Affine Geometry, Italy, Levico Terme, 29.10.2012--3.11.2012

4. V. L. Popov, Rational functions on semisimple Lie algebras and the Gelfand–-Kirillov Conjecture, International conference Lie Algebras, Torsors and Cohomological Invariants, Canada, Banff, 30.09.2012--5.10.2012

5. V. L. Popov, Coordinate algebras of algebraic groups: generators and relations, Algebra & Number Theory Seminar of the Pennsylvania State University, USA, 27.09.2012

6. V. L. Popov, 170 years of invariant theory, Colloquium talk at the Pennsylvania State University, USA, 27.09.2012

7. V. L. Popov, Rational functions on semisimple Lie algebras and the Gelfand–-Kirillov Conjecture, GAP Seminar of the Pennsylvania State University, USA, 25.09.2012

8. V. L. Popov, Tori in the Cremona Groups, International conference Essential dimension and Cremona groups, Chern Institute of Mathematics, Nankai University, Tianjin, China, 11.06.2012--15.06.2012

9. V. L. Popov, 170 years of invariant theory, Colloquium talk at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China, 8.06.2012

10. V. L. Popov, Rational actions on affine spaces, International conference Birational and affine geometry, Steklov Mathematical Institute, Russian Academy of Sciences and HSE, 23.04.2012--27.04.2012

11. V. L. Popov, On subgroups of the Cremona groups, seminar talk at the Shafarevich seminar, Steklov Mathematical Institute, Russian Academy of Sciences, 3.04.2012

2011

1. V. L. Popov, Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture,
International conference "Algebra and Mathematical Logic" dedicated to the 100-th birthday of Professor V. V. Morozov, Kazan, September 27, 2011, 11:20.

2. V. L. Popov, Cross-sections, quotients, and representation rings of semisimple algebraic groups, plenary talk, Colloque International Journées Solstice d'été 2011, Institut de Mathématiques de Jussieu, Université Paris-7 Denis Diderot, Paris, France (June 23--25, 2011), June 23, 2011, 9:30.

2010

1. V. L. Popov, Cayley groups, International Workshop Non-Archimedean Analysis, Lie Groups and Dynamical Systems, Paderborn, Germany (February 8-12, 2010), February 8, 2010, 14:50.

2. V. L. Popov, Cross-sections, quotients, and representation rings of semisimple algebraic groups, International algebraic conference dedicated to the 70th birthday of Anatoly Yakovlev, St. Petersburg, Russia (June 19-24, 2010), June 19, 2010, 9:30.

3. V. L. Popov, Discrete groups generated by complex reflections, International conference "Geometry, Topology, Algebra, and Number Theory" dedicated to the 120th anniversary of Boris Delone, Moscow, Russia (16-20 August 16--20, 2010), August 17, 2010, 14:00.

2009

1. V. L. Popov, Cross-sections and quotients for the actions of semisimple algebraic groups,

International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh, June 30, 2009, 10:00.

2. В. Л. Попов, Две орбиты: когда одна лежит в замыкании другой? Семинар отдела алгебры МИАН, 28 апреля 2009 г. 15:00.

3. V. L. Popov, Algebraic groups and singularities, Three lectures at the Summer school-conference on algebraic geometry and complex analysis for young Russian scientists, Yaroslavl, May 2009.

4. V. L. Popov, Cross-sections, quotients, and representation rings of semisimple algebraic groups, International Workshop Linear Algebraic Groups and related Structures, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada (September 13-18, 2009), September 16, 2009, 9:50.

5. V. L. Popov,Two orbits: when is one in the closure of the other? International conference Affine Algebraic Geometry in honour of Peter Russell, McGill University, Montreal, Canada (June 1--5, 2009), June 5, 15:00.

2008
1. V. L. Popov, Is the field of functions on the Lie algebra pure over the invariant subfield? The second annual conference-meeting MIAN–POMI Algebra and Algebraic Geometry, December 24, 2008, 12:15.

2. V. L. Popov, Tensor product decompositions and open orbits in multiple flag varieties, International Conference Lie Theory and Geometry. The Mathematical Legacy of Bertram Kostant, University of British Columbia, Vancouver, Canada (May 19-25, 2008), May 23, 14:30.

3. V. L. Popov, One and a half centuries of invariant theory Steklov Mathematical Institute Seminar, February 28, 2008, 16:00.

4. V. L. Popov, Describing the Hilbert cone of unstable points, International Conference Geometric Invariant Theory, Mathematisches Institut Georg-August-Universität Göttingen, Göttingen, Germany (June 2-6, 2008), June 2, 9:30.

5. V. L. Popov, Rationality of extensions of invariant fields, Seminar of the Department of Algebra, Steklov Mathematical Institute, January 29, 2008, 15:00.

2007
1. V. L. Popov, Discrete groups generated by complex reflections, Seminar of the Department of Algebra, Steklov Mathematical Institute, March 27, 2007, 15:00.

2. V. L. Popov, One and a half centuries of Invariant Theory, The 2007 Collingwood Lecture, Durham University, Great Britain, November 23, 2007, 13:15. Cl.pdf

3. V. L. Popov, Finite linear groups, lattices, and products of elliptic curves, International Algebraic Conference dedicated to the 100th anniversary of D. K. Faddeev, St. Petersburg Department of V. A. Steklov Mathematical Institute St. Petersburg (September 24--29, 2007), September 24, 2007, 11:00.

4. V. L. Popov, Quasihomogeneous affine threefolds, International Conference Affine Algebraic Geometry , Oberwolfach, Germany (January 7--13, 2007).

Grants

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Oct

2016

HSE Researchers Become Members of the Russian Academy of Sciences

On October 28, the Russian Academy of Sciences (RAS) held a meeting to announce the results of elections of new members: 176 scholars were selected as academicians, and 323 scholars as corresponding members. HSE researchers are among the new RAS members.

Vladimir Popov

Education, Degrees and Academic Titles

Awards and Accomplishments

Courses (2023/2024)

Courses (2022/2023)

Courses (2021/2022)

Courses (2020/2021)

Courses (2019/2020)

Courses (2018/2019)

Courses (2017/2018)

Publications113

Editorial board membership

Grants

Conferences

Main affiliation

Personal web-page at the Steklov Mathematical Institute that contains the details of scientific career, complete list of publications, titles and video recordings of some talks

Editorial appointments

Honors

Membership in Dissertation Council

Seminar and conference talks in 2007--2015

Grants

Timetable for today

HSE Researchers Become Members of the Russian Academy of Sciences

Publications¹¹³