Fedor Bogomolov | Academic Influence

Fedor Bogomolov's AcademicInfluence.com Rankings

Fedor Bogomolov

Mathematics

#314

World Rank

#667

Historical Rank

Algebraic Geometry

#24

World Rank

#25

Historical Rank

Measure Theory

#2499

World Rank

#3003

Historical Rank

mathematics Degrees

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Mathematics

Fedor Bogomolov's Degrees

PhD Mathematics Moscow State University
Doctorate Mathematics Moscow State University

Why Is Fedor Bogomolov Influential?

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According to Wikipedia, Fedor Alekseyevich Bogomolov is a Russian and American mathematician, known for his research in algebraic geometry and number theory. Bogomolov worked at the Steklov Institute in Moscow before he became a professor at the Courant Institute in New York. He is most famous for his pioneering work on hyperkähler manifolds.

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Fedor Bogomolov'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

Holomorphic tensors and vector bundles on projective varieties (1979) (320)
Cohomological and Geometric Approaches to Rationality Problems (2010) (176)
On the decomposition of kähler manifolds with trivial canonical class (1974) (160)
Density of rational points on elliptic K3 surfaces (1999) (117)
Hamiltonian Kählerian manifolds (1978) (116)
The brauer group of quotient spaces by linear group actions (1988) (106)
Families of curves on a surface of general type (1977) (91)
The Brauer group of quotient spaces of linear representations (1987) (82)
Symplectic Lefschetz fibrations with arbitrary fundamental groups (1998) (82)
Points of finite order on abelian varieties (1980) (72)
Birational geometry, rational curves, and arithmetic (2013) (72)
STABLE VECTOR BUNDLES ON PROJECTIVE SURFACES (1995) (71)
STABLE COHOMOLOGY OF GROUPS AND ALGEBRAIC VARIETIES (1993) (70)
On Two Conjectures in Birational Algebraic Geometry (1991) (65)
Weak Hironaka theorem (1996) (64)
Classification of surfaces of class VII0 with b2 = 0 (1976) (61)
On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky) (1996) (61)
On the density of rational points on elliptic fibrations (1998) (59)
RATIONALITY OF SOME QUOTIENT VARIETIES (1986) (58)
Constructing rational curves on K3 surfaces (2009) (54)
KÄHLER MANIFOLDS WITH TRIVIAL CANONICAL CLASS (1974) (51)
POINTS OF FINITE ORDER ON AN ABELIAN VARIETY (1981) (50)
Reconstruction of Function Fields (2003) (49)
SURFACES OF CLASS VII0 AND AFFINE GEOMETRY (1983) (44)
Stein Small Deformations of Strictly Pseudoconvex Surfaces (1997) (44)
Rational Curves on Foliated Varieties (2016) (38)
Commuting elements in Galois groups of function fields (2000) (37)
Rational curves and points on K3 surfaces (2003) (36)
Unstable vector bundles and curves on surfaces (1980) (32)
Remarks on endomorphisms and rational points (2010) (30)
ABELIAN SUBGROUPS OF GALOIS GROUPS (1992) (28)
Geometric methods in algebra and number theory (2005) (27)
Density of rational points on Enriques surfaces (1998) (25)
On stable conjugacy of finite subgroups of the plane Cremona group, I (2013) (24)
Complex projective surfaces and infinite groups (1997) (24)
On the structure of Galois groups of the fields of rational functions (1995) (23)
BRAUER GROUPS OF FIELDS OF INVARIANTS OF ALGEBRAIC GROUPS (1990) (23)
Rationality of the moduli of hyperelliptic curves of arbitrary genus (1986) (23)
Reconstruction of higher-dimensional function fields (2009) (23)
On uniformly rational varieties (2013) (22)
Introduction to birational anabelian geometry (2010) (20)
Ordinary reduction of K3 surfaces (2009) (20)
Isoclinism and Stable Cohomology of Wreath Products (2012) (19)
Hyperbolicity of nodal hypersurfaces (2006) (18)
Stable cohomology of finite and profinite groups (2007) (17)
A Torelli Theorem for Curves over Finite Fields (2008) (17)
Unramified correspondences (2002) (16)
THE STABLE RATIONALITY OF QUOTIENT SPACES FOR SIMPLY CONNECTED GROUPS (1987) (16)
HOLOMORPHIC SYMMETRIC TENSORS ON PROJECTIVE SURFACES (1978) (16)
Algebraic varieties over small fields (2007) (16)
Torsion of Elliptic Curves and Unlikely Intersections (2017) (15)
On Guan's examples of simply connected non-Kahler compact complex manifolds (1996) (15)
Algebraic curves and one-dimensional fields (2002) (14)
Stability of Vector Bundles on Surfaces and Curves (1993) (14)
Galois Theory and Projective Geometry (2011) (14)
Unramified cohomology of finite groups of Lie type (2008) (12)
UNIRATIONALITY AND EXISTENCE OF INFINITELY TRANSITIVE MODELS (2012) (12)
Hyperelliptic Szpiro Inequality (2001) (12)
Symplectic four-manifolds and projective surfaces (1998) (11)
MILNOR K2 AND FIELD HOMOMORPHISMS (2009) (11)
Special elliptic fibrations (2003) (10)
Lagrangian subvarieties of Abelian fourfolds (2000) (9)
Couniformization of curves over number fields (2005) (9)
Monodromy of Elliptic Surfaces (2000) (9)
Cohomological and geometric approaches to rationality problems: New perspectives (2010) (9)
Division polynomials and intersection of projective torsion points (2016) (8)
Symmetric Differentials of Rank 1 and Holomorphic Maps (2011) (8)
Unramified cohomology of alternating groups (2011) (8)
On the diameter of plane algebraic curves (1994) (7)
Families of disjoint divisors on varieties (2015) (7)
Curves in abelian varieties over finite fields (2004) (7)
On curve correspondences (2002) (7)
Collineation group as a subgroup of the symmetric group (2012) (7)
Birationally isotrivial fiber spaces (2014) (6)
Lagrangian fibrations for IHS fourfolds (2018) (6)
Stable cohomology of alternating groups (2011) (6)
Closed symmetric 2-differentials of the 1st kind (2013) (6)
Rationality of Moduli of Elliptic Fibrations with Fixed Monodromy (2002) (6)
Universal spaces for unramified Galois cohomology (2014) (6)
Algebraically hyperbolic manifolds have finite automorphism groups (2017) (6)
Symmetric Tensors And Geometry of $${\mathbb{P}} ^N$$ Subvarieties (2008) (6)
Co-fibered products of algebraic curves (2009) (5)
Elliptic curves with large intersection of projective torsion points (2017) (4)
On the irreducibility of Hilbert scheme of surfaces of minimal degree (2013) (4)
On Contraction of Algebraic Points (2016) (4)
Instantons and mirror K3 surfaces (1992) (4)
COMPLEX MANIFOLDS AND ALGEBRAIC FOLIATIONS (2014) (4)
COMPLEX MANIFOLDS AND ALGEBRAIC FOLIATIONS (2014) (4)
Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds (2020) (4)
COMPLEX MANIFOLDS AND ALGEBRAIC FOLIATIONS (2014) (4)
The theory of invariants and its applications to some problems in the algebraic geometry (2010) (4)
Dominant classes of projective varieties (2017) (3)
Local Structure of Closed Symmetric 2-Differentials (2014) (3)
Noether's problem and descent (2017) (3)
Abelian Calabi-Yau threefolds: N\'eron models and rational points (2016) (3)
The actions of a circumference on smooth odd-dimensional spheres (1969) (3)
Simple Examples of Symplectic Four-manifolds with Exotic Properties (2003) (3)
Homomorphisms of multiplicative groups of fields preserving algebraic dependence (2017) (3)
Holomorphic Functions and Vector Bundles on Coverings of Projective Varieties (2005) (2)
Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations (2020) (2)
ON CURVE CORRESPONDENCES (Communications in Arithmetic Fundamental Groups) (2002) (2)
SYMMETRIC TENSORS AND THE GEOMETRY OF SUBVARIETIES OF P (2006) (2)
Manifolds with trivial canonical class (1973) (2)
On the diffeomorphic type of the complement to a line arrangement in a projective plane (2012) (2)
Geometry of the orbit space and phases of3He and a neutron star in the P state (1987) (2)
Linear tori with the action of finite groups (1995) (2)
On the Kobayashi Pseudometric, Complex Automorphisms and Hyperkähler Manifolds (2016) (2)
Vladimir Voevodsky – Work and Destiny (2017) (2)
Asymptotic cohomological vanishing theorems and applications of real algebraic geometry to computer science (2010) (2)
Rationality of quotients by linear actions of affine groups (2010) (2)
Essential dimension, stable cohomological dimension, and stable cohomology of finite Heisenberg groups (2014) (1)
On a theorem of Tate (2008) (1)
Vyacheslav Vladimirovich Shokurov (on the occasion of his sixtieth birthday) (2010) (1)
Vanishing theorems of negative vector bundles on projective varieties and the convexity of coverings (2006) (1)
Vyacheslav Vladimirovich Shokurov (on his 60th birthday) (2010) (1)
Infinite groups in projective and symplectic geometry (1999) (1)
Analytic sections in conic bundles (1984) (1)
Symmetric tensors and the geometry of subvarieties of $\Bbb P^N$ (2006) (1)
General theory of curves (2002) (1)
Vector bundles on ℙ (2002) (1)
Classifying $VII_0$ surfaces with $b_2 = 0$ via group theory (2017) (1)
On commuting operators related to asymptotic symmetries in the atomic theory (0)
Gennadii Vladimirovich Belyi (obituary) (2002) (0)
XXXVI WORKSHOP ON GEOMETRIC METHODS IN PHYSICS (2017) (0)
Geometric properties of curves defined over number fields (2021) (0)
Curves over arithmetic fields (2002) (0)
Simple examples of symplectic fourfolds with exotic properties (2002) (0)
Gennadii Vladimirovich Belyi (2002) (0)
Viktor Stepanovich Kulikov (on his 60th birthday) (2013) (0)
Vasilii Alekseevich Iskovskikh (obituary) (2009) (0)
Resolution of singularities: Review of a book by H. Hauser et al. (2001) (0)
New Zealand volume (2022) (0)
Andrei Nikolaevich Tyurin (2002) (0)
Vasilii Alekseevich Iskovskikh (2019) (0)
Viktor Stepanovich Kulikov (on his seventieth birthday) (2022) (0)
A Torelli theorem for curves over nite elds (2009) (0)
Unrami ed cohomology of nite groups of Lie type (2009) (0)
Vyacheslav Vladimirovich Shokurov (2021) (0)
Ju n 20 00 Lagrangian subvarieties of abelian fourfolds (2008) (0)
Obituary: Vasyl Ivanovych Andriychuk (18.09.1948–7.07.2012) (2013) (0)
Vector bundles, coherent sheaves, and cohomology (2002) (0)
Fuerteventura island volume (2021) (0)
Homomorphisms of multiplicative groups of fields preserving algebraic dependence (2019) (0)
Viktor Stepanovich Kulikov (on the occasion of his sixtieth birthday) (2013) (0)
Elliptic curves with large intersection of projective torsion points (2017) (0)
Correction to: On the $$\mathrm{PGL}_{2}$$-invariant quadruples of torsion points of elliptic curves (2019) (0)
Andrei Nikolaevich Tyurin (obituary) (2003) (0)
Easter Island volume (2019) (0)
The Riemann-Roch theorem (2002) (0)
Lorentz group and it's role in the non-relativistic atom model (2007) (0)
Geometry of dimension one (2002) (0)
On the $$\mathrm{PGL}_{2}$$-invariant quadruples of torsion points of elliptic curves (2019) (0)
Divisors and line bundles (2002) (0)
From algebra to geometry (2002) (0)
On stable cohomology of central extensions of elementary abelian groups (2018) (0)
ALGEBRAIC VARIETIES WITH MANY RATIONAL POINTS (2008) (0)
Motives and polylogarithms (2002) (0)
Vanishing theorems and universal coverings of projective varieties (1998) (0)
A G ] 1 7 O ct 2 01 2 UNIRATIONALITY AND EXISTENCE OF INFINITELY TRANSITIVE MODELS (2012) (0)
The ambiguity index of an equipped finite group (2015) (0)
A Constructive Proof of Brauer's Theorem on Induced Characters in the Group Ring (2013) (0)
Linear bounds for levels of stable rationality (2011) (0)
1 8 Se p 20 06 SYMMETRIC TENSORS AND THE GEOMETRY OF SUBVARIETIES OF (2006) (0)
HYPERBOLICITY OF HYPERSURFACES WITH NODES (2004) (0)
Division polynomials and intersection of projective torsion points (2016) (0)
Tensors in algebraic geometry (1993) (0)
Families of disjoint divisors on varieties (2016) (0)
Workshop: Complex Algebraic Geometry Table of Contents (2012) (0)
Correction to: On the PGL2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{PGL}_{2}$$\end{document}-invariant q (2019) (0)
Singularities on complete algebraic varieties (2006) (0)
Convexity of coverings of projective varieties and vanishing theorems (2004) (0)
ICMS Workshop on Birational Geometry held in honour of Vyacheslav V. Shokurov's 60th birthday (2014) (0)
On the PGL 2 -invariant quadruples of torsion points of elliptic curves (2019) (0)
Stable vector bundles on the families of curves (2020) (0)
Purely noncommuting groups (2018) (0)
Ju n 20 01 Hyperelliptic Szpiro inequality (2008) (0)
A version of Brauer’s theorem for integer central functions (2009) (0)
Dominant classes of projective varieties (2018) (0)
Birationally isotrivial fiber spaces (2015) (0)

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