Anatoly Libgober | Academic Influence

Anatoly Libgober's AcademicInfluence.com Rankings

Anatoly Libgober

Mathematics

#5892

World Rank

#8245

Historical Rank

#1855

USA Rank

Measure Theory

#3225

World Rank

#3814

Historical Rank

#932

USA Rank

mathematics Degrees

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Mathematics

Anatoly Libgober's Degrees

PhD Mathematics Moscow State University

Why Is Anatoly Libgober Influential?

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According to Wikipedia, Anatoly Libgober is a Russian/American mathematician, known for work in algebraic geometry and topology of algebraic varieties. Early life Libgober was born in the Soviet Union, and immigrated to Israel in 1973 after active participation in the movement to change immigration policies in Soviet Union. He studied with Yuri Manin at Moscow University and with Boris Moishezon at Tel-Aviv University where he finished his PhD dissertation with Moishezon in 1977, doing his postdoctorate work at the [[Institute for Advanced Study]] . He lectured extensively visiting, among others, l'Institut des hautes études scientifiques , the Max Planck Institute in Bonn , the Mathematical Sciences Research Institute , Harvard University and Columbia University. Currently he is Professor Emeritus at the University of Illinois at Chicago where he worked until his retirement in 2010.

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Anatoly Libgober'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

Cohomology of the Orlik–Solomon Algebras and Local Systems (1998) (153)
Alexander polynomial of plane algebraic curves and cyclic multiple planes (1982) (145)
Elliptic genera of toric varieties and applications to mirror symmetry (1999) (117)
Alexander invariants of plane algebraic curves (1983) (101)
Elliptic genera of singular varieties (2000) (99)
Uniqueness of the complex structure on Kähler manifolds of certain homotopy types (1990) (98)
Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations (1993) (81)
Characteristic varieties of algebraic curves (2001) (81)
McKay correspondence for elliptic genera (2002) (62)
On the fundamental group of the complement to a discriminant variety (1981) (62)
On the homotopy of the complement to plane algebraic curves. (1986) (58)
On the homology of finite Abelian coverings (1992) (56)
Homotopy groups of the complements to singular hypersurfaces, II (1992) (56)
Homotopy groups of the complements to singular hypersurfaces Bulletin of the AMS (1985) (53)
Eigenvalues for the Monodromy of the Milnor Fibers of Arrangements (2002) (51)
First order deformations for rank one local systems with a non-vanishing cohomology (2002) (49)
Fundamental groups of the complements to plane singular curves (1985) (41)
Differentiable structures on complete intersections—I (1982) (39)
Chern classes and the periods of mirrors (1998) (38)
On the zeta function of monodromy of a polynomial map (1995) (37)
Elliptic genera, real algebraic varieties and quasi-Jacobi forms (2009) (36)
Position of singularities of hypersurfaces and the topology of their complements (1996) (35)
Non vanishing loci of Hodge numbers of local systems (2007) (32)
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex. (2000) (31)
Hodge decomposition of Alexander invariants (2001) (30)
Hodge genera of algebraic varieties, II (2006) (30)
Regular functions transversal at infinity (2005) (27)
Elliptic Genera and Applications to Mirror Symmetry (2008) (26)
Embeddable CR-structures and deformations of pseudoconvex surfaces (1997) (23)
Hodge genera and characteristic classes Of complex algebraic varieties (2008) (23)
Invariants of plane algebraic curves via representations of the braid groups (1989) (23)
Homotopy groups of complements and nonisolated singularities (2002) (22)
MULTIVARIABLE HODGE THEORETICAL INVARIANTS OF GERMS OF PLANE CURVES (2009) (21)
Cohomology of Local systems (2000) (21)
On the topological structure of even-dimensional complete intersections (1981) (20)
ZARISKI–VAN KAMPEN THEOREM FOR HIGHER-HOMOTOPY GROUPS (2002) (19)
On branch curves of algebraic surfaces (1997) (18)
Enumeration of combinations of rational double points on quartic surfaces (1997) (17)
On the fundamental group of the space of cubic surfaces (1978) (16)
Isolated non-normal crossings (2002) (15)
PROBLEMS IN TOPOLOGY OF THE COMPLEMENTS TO PLANE SINGULAR CURVES (2007) (15)
Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves (2010) (15)
Depth of cohomology support loci for quasi-projective varieties via orbifold pencils (2012) (14)
On Mordell–Weil groups of isotrivial abelian varieties over function fields (2013) (14)
A geometrical procedure for killing the middle dimensional homology groups of algebraic hypersurfaces (1977) (14)
Strata of discriminantal arrangements (2016) (13)
Generalizations of the odd degree theorem and applications (2003) (12)
Sequences of LCT-polytopes (2010) (12)
Homotopy groups of complements to ample divisors (2004) (12)
Local topology of reducible divisors (2003) (12)
Trends in Singularities (2002) (11)
Groups Which Cannot be Realized as Fundamental Groups of the Complements to Hypersurface in C N (1994) (11)
Theta characteristics on singular curves, spin structures and Rohlin theorem (1988) (10)
On combinatorial invariance of the cohomology of Milnor fiber of arrangements and Catalan equation over function field (2010) (10)
The topology of complements to hypersurfaces and nonvanishing of a twisted deRham cohomology (1997) (9)
Motivic infinite cyclic covers (2014) (9)
Hodge polynomials of singular hypersurfaces (2011) (9)
Numerical characteristics of systems of straight lines on complete intersections (1973) (9)
Some properties of the signature of complete intersections (1980) (8)
Gauge theory on resolutions of simple singularities and affine Lie algebras (1997) (7)
Stringy $E$-functions of Pfaffian�Grassmannian double mirrors (2015) (7)
Development of the theory of Alexander invariants in Algebraic Geometry (2010) (7)
Non-congruent number, odd graph and the BSD conjecture ²=³-² (1997) (7)
FACTORS OF JACOBIANS AND ISOTRIVIAL ELLIPTIC SURFACES (2012) (6)
Braids : proceedings of the AMS-IMS-SIAM joint summer research conference on Artin's braid group held July 13-26, 1986 at the University of California, Santa Cruz, California (1988) (6)
Topological invariants of affine hypersurfaces: connectivity, ends, and signature (1993) (5)
Counting rational maps onto surfaces and fundamental groups (2004) (5)
The horo-hypercircle coordinates and their application to the construction of a heat kernel (1997) (5)
On the topology of some even-dimensional algebraic hypersurfaces (1979) (5)
DISCRETE TORSION, ORBIFOLD ELLIPTIC GENERA, AND THE CHIRAL DE RHAM COMPLEX (2004) (4)
CONGRUENCES MODULO POWERS OF 2 FOR THE SIGNATURE OF COMPLETE INTERSECTIONS (1980) (4)
Diffeomorphic complete intersections with different multidegrees (1980) (4)
Singularity Theory: Abelian Branched Covers of Projective Plane (1999) (4)
DEPTH OF CHARACTERS OF CURVE COMPLEMENTS AND ORBIFOLD PENCILS (2011) (4)
Characters of fundamental groups of curve complements and orbifold pencils (2012) (4)
Higher elliptic genera (2006) (3)
Lectures on topology of complements and fundamental groups (2005) (3)
On Mordell-Weil group of isotrivial abelian varieties over function fields (2012) (3)
Singular Milnor fibers and higher multiplicities for nonisolated complete intersections (1997) (3)
Free quotients of fundamental groups of smooth quasi-projective varieties (2019) (3)
Multi-polynomial invariants for plane algebraic curves (1997) (3)
An algorithm to produce the structure sequence of arrangement (1997) (2)
Remarks on semi-simplicity of Alexander modules (2022) (2)
Albanese varieties of abelian covers (2014) (2)
On $\pi_{2}$ of the Complements to Hypersurfaces which are Generic Projections (1987) (2)
Topological Complexity of Algorithms (1990) (2)
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties (2021) (2)
Complete algebraic CR invariants of real codimension 3 strongly pseudoconvex CR manifolds (1997) (1)
Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric Diophantine problems (1997) (1)
An obstruction for smoothing of Gorenstein surface singularities (1990) (1)
Automorphisms of desingularizations of quotients and equivariant McKay correspondence (1996) (1)
Cohomology of bundles on homological Hopf manifolds (2009) (1)
Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups (2021) (1)
Chapter 1 Complements to ample divisors and Singularities (2021) (1)
Elliptic genus of singular algebraic varieties and quotients (2017) (1)
The weighted blowing ups of singularities with =0 (1997) (1)
Elliptic Genus of Phases of N = 2 Theories (2014) (1)
Motivic zeta functions and infinite cyclic covers (2017) (1)
Singularities and Complex Geometry (1997) (1)
Complement of arrangement of hyperplanes (1997) (1)
Residues of complex analytic foliations relative to singular invariant subvarieties (1997) (1)
A ug 2 00 1 Characteristic varieties of algebraic curves (2019) (0)
2 0 Ju l 2 00 0 Elliptic Genera of singular varieties , orbifold elliptic genus and chiral deRham complex (2008) (0)
A generalized Chern-Simons formulas (1997) (0)
Topology of algebraic varieties and singularities : conference in honor of Anatoly Libgober's 60th birthday, June 22-26, 2009, Jaca, Huesca, Spain (2011) (0)
A G ] 20 D ec 2 00 2 Isolated non-normal crossings (0)
Algebraic geometry : proceedings of the Midwest Algebraic Geometry Conference, University of Illinois at Chicago Circle, May 2-3, 1980 (1981) (0)
Abelian Branched Covers of Projective Plane (2019) (0)
On ⁰-lemma and projective normality of line bundles on algebraic curves (1997) (0)
Automorphisms of crepant resolutions for quotient spaces (1995) (0)
Schwarzian derivative of holomorphic mappings (1997) (0)
12 Groups Which Cannot be Realized as Fundamental Groups of the Complements to Hypersurfaces in eN (2019) (0)
Chern root algorithm and local index theorems (1997) (0)
A pr 2 00 5 REGULAR FUNCTIONS TRANSVERSAL AT INFINITY (2005) (0)
N ov 2 00 2 Isolated non-normal crossings (2002) (0)
Singularities and complex geometry : Seminar on Singularities and Complex Geometry, June 15-20, 1994, Beijing, China (1997) (0)
DIFFERENTIAL FORMS ON COMPLETE INTERSECTIONS AND A RELATED QUOTIENT MODULE A.Libgober (2019) (0)
The Chern characters of surface with singularities (1997) (0)
Elliptic Genus of Phases of N = 2 Theories (2015) (0)
Preface (1992) (0)
Complements to Ample Divisors and Singularities (2021) (0)
ALBANESE VARIETIES OF CYCLIC COVERS OF THE PROJECTIVE PLANE AND ORBIFOLD PENCILS (2016) (0)
Stokes regions of a simple singularity (1997) (0)
2 0 D ec 2 00 2 Isolated non-normal crossings (2002) (0)
A CHARACTERIZATION OF PLANE CURVE SINGULARITIES WITH ONE CHARACTERISTIC PAIR (1984) (0)
Automorphisms of desingularizations of quotients and equivariant (2019) (0)
A ug 2 00 9 HOMOMORPHISMS BETWEEN KÄHLER GROUPS DONU ARAPURA To (2009) (0)
Notes on the codimensions of smooth map-germs and the related results (1997) (0)
On Mordell–Weil groups of isotrivial abelian varieties over function fields (2013) (0)
An obstruction to smoothing of Gorenstein surface singularities (1992) (0)
On the singularity of the boundary of a convex domain admitting a non-compact automorphism group (1997) (0)
Book Review: Topology of algebraic curves. An approach via dessins d’enfants (2014) (0)
Contemporary Mathematics Homomorphisms between Kähler groups Donu Arapura To (2013) (0)

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