Vladimir Popov

Since March 2021, "The European Mathematical Society Newsletter" has been renamed to "EMS Magazine".

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

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

• 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.

• 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

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).

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).