Robert Lazarsfeld | Academic Influence

Robert Lazarsfeld's AcademicInfluence.com Rankings

Robert Lazarsfeld

Mathematics

#2593

World Rank

#3976

Historical Rank

#1016

USA Rank

Algebraic Geometry

#78

World Rank

#83

Historical Rank

#19

USA Rank

Measure Theory

#2153

World Rank

#2597

Historical Rank

#617

USA Rank

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Mathematics

Robert Lazarsfeld's Degrees

Bachelors Mathematics Princeton University

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Why Is Robert Lazarsfeld Influential?

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According to Wikipedia, Robert Kendall Lazarsfeld is an American mathematician, currently a professor at Stony Brook University. He was previously the Raymond L. Wilder Collegiate Professor of Mathematics at the University of Michigan. He is the son of two sociologists, Paul Lazarsfeld and Patricia Kendall. His research focuses on algebraic geometry.

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Robert Lazarsfeld'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

Positivity in algebraic geometry (2004) (2080)
Classical setting : line bundles and linear series (2004) (824)
Convex Bodies Associated to Linear Series (2008) (457)
On a theorem of Castelnuovo, and the equations defining space curves (1983) (342)
On the projective normality of complete linear series on an algebraic curve (1986) (299)
Positivity for vector bundles, and multiplier ideals (2004) (272)
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville (1987) (256)
Uniform bounds and symbolic powers on smooth varieties (2000) (254)
Asymptotic invariants of base loci (2003) (254)
Connectivity and its applications in algebraic geometry (1981) (236)
Brill-Noether-Petri without degenerations (1986) (231)
Higher obstructions to deforming cohomology groups of line bundles (1991) (226)
A subadditivity property of multiplier ideals. (2000) (199)
On the connectedness of degeneracy loci and special divisors (1981) (195)
Singularities of theta divisors and the birational geometry of irregular varieties (1996) (191)
Vanishing theorems, a theorem of Severi, and the equations defining projective varieties (1991) (185)
Some results on the syzygies of finite sets and algebraic curves (1988) (177)
Restricted volumes and base loci of linear series (2006) (173)
Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension (1993) (165)
Algebraic Geometry Santa Cruz 1995 (1997) (162)
Global generation of pluricanonical and adjoint linear series on smooth projective threefolds (1993) (160)
A Sampling of Vector Bundle Techniques in the Study of Linear Series (1989) (154)
Special divisors on curves on aK3 surface (1987) (145)
A sharp Castelnuovo bound for smooth surfaces (1987) (129)
Jumping coefficients of multiplier ideals (2003) (129)
Some applications of the theory of positive vector bundles (1984) (125)
Positive polynomials for ample vector bundles (1983) (125)
Uniform approximation of Abhyankar valuation ideals in smooth function fields (2002) (124)
Local positivity of ample line bundles (1994) (116)
Complex Projective Geometry: Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curves (1992) (105)
Contact loci in arc spaces (2003) (88)
Topics in the Geometry of Projective Space (1984) (81)
Asymptotic syzygies of algebraic varieties (2011) (73)
Pseudoeffective and nef classes on abelian varieties (2010) (70)
Lectures on Linear Series (1994) (66)
A Barth-type theorem for branched coverings of projective space (1980) (62)
A geometric effective Nullstellensatz (1998) (61)
LECTURES ON LINEAR SERIES 1 (1994) (58)
Positivity and complexity of ideal sheaves (2000) (55)
Lengths of periods and seshadri constants of abelian varieties (1996) (55)
Measures of irrationality for hypersurfaces of large degree (2015) (54)
ASYMPTOTIC INVARIANTS OF LINE BUNDLES (2005) (46)
The gonality conjecture on syzygies of algebraic curves of large degree (2014) (44)
Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds (2009) (43)
Topics in the Geometry of Projective Space: Recent Work of F.L. Zak (1984) (42)
Nilpotent cones and sheaves on K3 surfaces (1996) (40)
Higher cohomology of divisors on a projective variety (2006) (39)
Excess linear series on an algebraic curve (1984) (39)
An Informal Introduction to Multiplier Ideals (2003) (39)
Zero-estimates, intersection theory, and a theorem of Demailly (1996) (34)
Surjectivity of gaussian maps for line bundles of large degree on curves (1991) (31)
Local positivity, multiplier ideals, and syzygies of abelian varieties (2010) (30)
Positivity and Excess Intersection (1982) (28)
Asymptotics of random Betti tables (2012) (27)
On the ramification of branched coverings of ℙn (1980) (27)
A Non-Linear Deformation of the Hitchin Dynamical System (1995) (26)
Local syzygies of multiplier ideals (2006) (25)
On the uniqueness of certain linear series on some classes of curves (1984) (22)
GLOBAL GENERATION OF LINEAR SERIES ON TERMINAL THREEFOLDS (1995) (22)
Stability of syzygy bundles on an algebraic surface (2012) (19)
A SHORT COURSE ON MULTIPLIER IDEALS (2009) (15)
A quick proof of nonvanishing for asymptotic syzygies (2015) (15)
Some Linear Syzygy Conjectures (1991) (14)
Excess intersection of divisors (1981) (13)
School on vanishing theorems and effective results in algebraic geometry : 25 April-12 May 2000 (2001) (11)
Syzygies of projective varieties of large degree: Recent progress and open problems (2016) (10)
A vanishing theorem for weight one syzygies (2015) (10)
Syzygies of multiplier ideals on singular varieties (2008) (8)
Multiplier Ideal Sheaves (2004) (7)
Canonical cohomology as an exterior module (2010) (7)
Tangent developable surfaces and the equations defining algebraic curves (2019) (7)
On Semipositivity of Sheaves of Differential Operators and the degree of a unipolar Q-Fano variety (1999) (5)
The Konno invariant of some algebraic varieties (2018) (5)
Measures of association between algebraic varieties (2021) (4)
Lectures on Flips and Minimal Models (2007) (4)
Curve selection for finite-type ideals (2005) (3)
Algebraic Geometry Santa Cruz 1995, Part 2 (1997) (3)
BGG correspondence, cohomology of compact K\"ahler manifolds, and numerical inequalities (2009) (3)
Notation and Conventions (2004) (2)
Cohomology on Symmetric Products, Syzygies of Canonical Curves, and a Theorem of Kempf (2020) (2)
Ample and Nef Vector Bundles (2004) (1)
A Remark on Projective Embeddings of Varieties with Non-Negative Cotangent Bundles (1998) (1)
Introduction to Part One (2004) (1)
Cayley-Bacharach theorems with excess vanishing (2019) (1)
Saturation bounds for smooth varieties (2021) (1)
RESTRICTED VOLUMES AND BASE LOCI OF LINEAR (2007) (0)
Asymptotic Invariants of Line Bundles 381 projective variety of dimension (2015) (0)
Mathematische Annalen Positivity and complexity of ideal sheaves (2001) (0)
Asymptotic syzygies of algebraic varieties (2012) (0)
A SHARP CASTELNUOVO BOUND FOR SMOOTH (0)
Ample and Nef Line Bundles (2004) (0)
Jean-Pierre Demailly (1957–2022) (2023) (0)
Numerical Properties of Ample Bundles (2004) (0)
The Geometry and Combinatorics of Ehrhart δ-Vectors (2009) (0)
Some remarks on the work of Lawrence Ein (2017) (0)
Torelli theorems for some Steiner bundles (2022) (0)
A Geometric Effective Nulllstellensatz (1998) (0)
Geometric Manifestations of Positivity (2004) (0)
The Konno invariant of some algebraic varieties (2019) (0)
Measures of association between algebraic varieties, II: self-correspondences (2023) (0)
FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY (2019) (0)
A pr 2 00 0 A SUBADDITIVITY PROPERTY OF MULTIPLIER IDEALS (2008) (0)
A G ] 5 J ul 2 00 0 POSITIVITY AND COMPLEXITY OF IDEAL SHEAVES (2008) (0)
Earyl Career Section: Journaling (2019) (0)
The gonality conjecture on syzygies of algebraic curves of large degree (2015) (0)
Ju n 20 05 CURVE SELECTION FOR FINITE-TYPE IDEALS (2008) (0)
The Moduli Space of Curves Is Rigid Acknowledgements: We Thank M. Kapranov for Suggesting the Problem and Subsequent Encouragement, S. Keel for Help with M G,n , and M. Olsson for Help with Log Structures. We Also Thank (2008) (0)
Some Applications of Multiplier Ideals (2004) (0)
Algebraic Geometry Santa Cruz 1995: Summer Research Institute on Algebraic Geometry, July 9-29, 1995, University of California, Santa Cruz (1997) (0)
Geometric Properties of Ample Vector Bundles (2004) (0)
Ramification and Discriminants of Vector Bundles and a Quick Proof of Bogomolov's Theorem (2022) (0)
A ug 2 00 3 ASYMPTOTIC INVARIANTS OF BASE LOCI (2003) (0)

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