Vladimir Popov

Q: What Schools Are Affiliated With Vladimir Popov

Vladimir Popov is affiliated with the following schools: Moscow State University, Higher School of Economics, Moscow State University

Vladimir Popov 's AcademicInfluence.com Rankings

Vladimir Popov

Mathematics

#7620

World Rank

#10333

Historical Rank

Complex Analysis

#26

World Rank

#39

Historical Rank

Group Theory

#192

World Rank

#227

Historical Rank

Number Theory

#313

World Rank

#391

Historical Rank

mathematics Degrees

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Mathematics

Why Is Vladimir Popov Influential?

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According to Wikipedia, Vladimir Leonidovich Popov is a Russian mathematician working in the invariant theory and the theory of transformation groups. Education and career In 1969 he graduated from the Faculty of Mechanics and Mathematics of Moscow State University. In 1972 he received his Candidate of Sciences degree with thesis Стабильность действия алгебраических групп и арифметика квазиоднородных многообразий . In 1984 he received his Russian Doctor of Sciences degree with thesis Группы, образующие, сизигии и орбиты в теории инвариантов .

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Vladimir Popov 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

ON A CLASS OF QUASIHOMOGENEOUS AFFINE VARIETIES (1972) (122)
PICARD GROUPS OF HOMOGENEOUS SPACES OF LINEAR ALGEBRAIC GROUPS AND ONE-DIMENSIONAL HOMOGENEOUS VECTOR BUNDLES (1974) (115)
ON THE MAKAR-LIMANOV, DERKSEN INVARIANTS, AND FINITE AUTOMORPHISM GROUPS OF ALGEBRAIC VARIETIES (2010) (114)
CONTRACTION OF THE ACTIONS OF REDUCTIVE ALGEBRAIC GROUPS (1987) (80)
Jordan groups and automorphism groups of algebraic varieties (2013) (66)
Algebraic Transformation Groups and Algebraic Varieties (2004) (62)
QUASIHOMOGENEOUS AFFINE ALGEBRAIC VARIETIES OF THE GROUP SL(2) (1973) (57)
Semisimple group actions on the three dimensional affine space are linear (1985) (48)
STABILITY CRITERIA FOR THE ACTION OF A SEMISIMPLE GROUP ON A FACTORIAL MANIFOLD (1970) (46)
On the Stability of the Action of AN Algebraic Group on AN Algebraic Variety (1972) (45)
Generically multiple transitive algebraic group actions (2004) (38)
Cayley groups (2004) (38)
Representations with a free module of covariants (1976) (38)
Irregular and Singular Loci of Commuting Varieties (2008) (34)
THE CONSTRUCTIVE THEORY OF INVARIANTS (1982) (34)
Finite subgroups of diffeomorphism groups (2013) (33)
Stationary subgroups of points of general position in the representation space of a semisimple Lie group (1971) (33)
The Culture of New Mobility in Russia: Networks and Flows Formation (2012) (30)
Status of the ITER Electron Cyclotron Heating and Current Drive System (2016) (29)
Discrete complex reflection groups (2023) (28)
Some subgroups of the Cremona groups (2011) (28)
ON INFINITE DIMENSIONAL ALGEBRAIC TRANSFORMATION GROUPS (2014) (27)
Groups, Generators, Syzygies, and Orbits in Invariant Theory (2011) (26)
Two Orbits: When is one in the closure of the other? (2008) (22)
Self-dual Projective Algebraic Varieties Associated With Symmetric Spaces (2004) (20)
Tori in the Cremona groups (2012) (20)
Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? (2009) (20)
Automorphism groups of finite dimensional simple algebras (2003) (18)
The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces (2018) (18)
SYZYGIES IN THE THEORY OF INVARIANTS (1984) (16)
CLASSIFICATION OF THREE-DIMENSIONAL AFFINE ALGEBRAIC VARIETIES THAT ARE QUASI-HOMOGENEOUS WITH RESPECT TO AN ALGEBRAIC GROUP (1975) (16)
Birational splitting and algebraic group actions (2015) (15)
SELF-DUAL ALGEBRAIC VARIETIES AND NILPOTENT ORBITS (2001) (15)
On polarizations in invariant theory (2005) (14)
CLASSIFICATION OF AFFINE ALGEBRAIC SURFACES THAT ARE QUASIHOMOGENEOUS WITH RESPECT TO AN ALGEBRAIC GROUP (1973) (14)
The cone of Hilbert Nullforms (2010) (14)
Progress in the ITER electron cyclotron heating and current drive system design (2015) (13)
Rationality and the FML invariant (2012) (13)
A FINITENESS THEOREM FOR REPRESENTATIONS WITH A FREE ALGEBRA OF INVARIANTS (1983) (13)
Homological dimension of algebras of invariants. (1983) (11)
Cross-sections, quotients, and representation rings of semisimple algebraic groups (2009) (11)
CLOSED ORBITS OF BOREL SUBGROUPS (1989) (10)
A finiteness theorem for parabolic subgroups of fixed modality (1997) (10)
Invariant Tensor Fields and Orbit Varieties for Finite Algebraic Transformation Groups (2002) (9)
Problems for problem session (2005) (9)
Tensor product decompositions and open orbits in multiple flag varieties (2006) (7)
Borel subgroups of Cremona groups (2017) (7)
On actions of \mathbb{G}_a on \mathbb{A}^n (1987) (6)
Algebraic curves with an infinite automorphism group (1978) (6)
On the “Lemma of Seshadri” (1992) (6)
Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations (1974) (6)
Three plots about the Cremona groups (2018) (5)
ON POLYNOMIAL AUTOMORPHISMS OF AFFINE SPACES (2001) (5)
One conjecture of Steinberg (1977) (5)
Projective Duality and Principal Nilpotent Elements of Symmetric Pairs (2004) (4)
Variations on the Theme of Zariski’s Cancellation Problem (2018) (4)
Number of components of the nullcone (2015) (4)
Modality of Representations, and Packets for θ-Groups (2018) (4)
Algebraic Groups Whose Orbit Closures Contain Only Finitely Many Orbits (2017) (4)
Embeddings of groups ${\rm Aut}(F_n)$ into automorphism groups of algebraic varieties (2021) (4)
Underlying varieties and group structures (2021) (3)
The classification of representations which are exceptional in the sense of Igusa (1975) (3)
GENERATORS AND RELATIONS OF THE AFFINE COORDINATE RINGS OF CONNECTED SEMISIMPLE ALGEBRAIC GROUPS (2000) (3)
Generic algebras: rational parametrization and normal forms (2014) (3)
On the closedness of some orbits of algebraic groups (1997) (3)
Finite linear groups, lattices, and products of elliptic curves (2005) (3)
On the equations defining affine algebraic groups (2015) (3)
On the proof of the majorization theorem for quantum Gaussian channels (2016) (3)
AROUND THE ABHYANKAR-SATHAYE CONJECTURE (2014) (3)
Algebras of general type: Rational parametrization and normal forms (2016) (2)
Orbit Closures of the Witt Group Actions (2019) (2)
Modern Developments in Invariant Theory (2010) (2)
Reichstein: Cayley groups (2)
On the Cayley degree of an algebraic group (2006) (2)
Bass' triangulability problem (2015) (1)
Root systems in number fields (2018) (1)
On modality of representations (2017) (1)
Algebraic Groups Whose Orbit Closures Contain Only Finitely Many Orbits (2021) (1)
Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties (2022) (1)
On non-connected simple linear groups with a free algebra of invariants (2017) (1)
Group Structures on Algebraic Varieties (2021) (1)
On fixed points of algebraic actions on ℂn (2000) (1)
OF FINITE-DIMENSIONAL LINEAR (1974) (1)
Algebraic cones (2009) (1)
POLARIZATIONS IN CLASSICAL INVARIANT THEORY (2002) (1)
On Conjugacy of Stabilizers of Reductive Group Actions (2019) (0)
Compressible Finite Groups of Birational Automorphisms (2018) (0)
Academian N. P. Simamovsky in the life of royal family, and not only… (2018) (0)
Rational differential forms on the variety of flexes of plane cubics (2019) (0)
Do we create mathematics or do we gradually discover theories which exist somewhere independently of us (2017) (0)
Rational functions on semisimple Lie algebras and the Gelfand-Kirillov Conjecture (2012) (0)
Congratulations to I.V.Volovich and V.L.Popov (2016) (0)
Types of Root Systems in Number Fields (2018) (0)
On algebraic group varieties (2021) (0)
Number of components of the nullcone (2015) (0)
ON CLOSEDNESS OF ORBITS OF ALGEBRAIC GROUPS (2009) (0)
Algebraic transformation groups and algebraic varieties : proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory, held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001 (2004) (0)
On closedness of stationary subgroup of affine transformations group (2017) (0)
Birational splitting and algebraic group actions (2015) (0)
Self-products of elliptic curves arising from reflection groups (2005) (0)
Rings of Integers in Number Fields and Root Lattices (2020) (0)
Algebras of general type: Rational parametrization and normal forms (2016) (0)
On Conjugacy of Stabilizers of Reductive Group Actions (2019) (0)
BIRATIONAL SPLITTING AND (2015) (0)
Subgroups of the Cremona groups: Bass’ problem (2016) (0)
BIRATIONAL SPLITTING AND ALGEBRAIC GROUP ACTIONS VLADIMIR (2015) (0)
To the 55th anniversary of Professor M. V. Shamolin (2022) (0)
G R ] 3 A ug 2 01 8 ROOT SYSTEMS IN NUMBER FIELDS (0)
Birationally nonequivalent linear actions. Cayley degrees of simple algebraic groups. Singularities of two-dimensional quotients (2007) (0)
Алексей Николаевич Паршин (к семидесятилетию со дня рождения)@@@Aleksei Nikolaevich Parshin (on his 70th birthday) (2013) (0)
Finite subgroups of diffeomorphism groups (2015) (0)
Subgroups of the Cremona groups: Bass’ problem (2016) (0)
Viktor Stepanovich Kulikov (on his seventieth birthday) (2022) (0)
Faithful actions of automorphism groups of free groups on algebraic varieties (2022) (0)
Aleksei Nikolaevich Parshin (on his 70th birthday) (2013) (0)
Quotients by conjugation action, cross-sections, singularities, and representation rings (2014) (0)
Picard group of connected affine algebraic group (2023) (0)
Valentin Evgen'evich Voskresenskii (obituary) (2014) (0)
Root lattices in number fields (2020) (0)
Generators and Relations of theAÆne Coordinate Rings ofConne (2009) (0)
Divisor Class Groups of the Semigroups of the Highest Weights (1994) (0)
SOME QUESTIONS IN THE THEORY OF VARIETIES OF GROUPS (2016) (0)
On modality of representations (2017) (0)
COM volume 147 issue 2 Cover and Front matter (2011) (0)
Vladimir Leonidovich Popov (2021) (0)
Constructive invariant theory (2019) (0)
Borel subgroups of Cremona groups (2017) (0)
Ju l 2 01 9 ROOT SYSTEMS IN NUMBER FIELDS (0)
Problems for the problem session of Workshop "Affine Algebraic Geometry", Oberwolfach, January 7--14, 2007 (2007) (0)
Rationality of adjoint orbits (2022) (0)
Igor Rostislavovich Shafarevich and His Mathematical Heritage (2019) (0)
The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces (2018) (0)
Root symstems in number fields (2018) (0)
Compressible Finite Groups of Birational Automorphisms (2018) (0)
ON INFINITE DIMENSIONAL ALGEBRAIC TRANSFORMATION GROUPS (2014) (0)
Ernest Borisovich Vinberg (on his 60th birthday) (1997) (0)
Ju l 2 01 7 MODALITY OF REPRESENTATIONS (2017) (0)
Quasihomogeneous affine threefolds (2007) (0)

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What Schools Are Affiliated With Vladimir Popov ?

Vladimir Popov is affiliated with the following schools:

Vladimir Popov 's Academic­Influence.com Rankings

Why Is Vladimir Popov Influential?

Vladimir Popov 's Published Works

Published Works

Other Resources About Vladimir Popov

What Schools Are Affiliated With Vladimir Popov ?

Vladimir Popov 's AcademicInfluence.com Rankings