H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 43 Citations 9,707 78 World Ranking 850 National Ranking 406

Research.com Recognitions

Awards & Achievements

2015 - Steele Prize for Mathematical Exposition

2013 - Fellow of the American Mathematical Society

2006 - Fellow of the American Academy of Arts and Sciences

1998 - Fellow of John Simon Guggenheim Memorial Foundation

1984 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Geometry
  • Algebraic geometry
  • Pure mathematics

His main research concerns Pure mathematics, Discrete mathematics, Algebraic geometry, Algebra and Multiplier ideal. His studies deal with areas such as Line, Mathematical analysis and Dimension of an algebraic variety as well as Pure mathematics. His Dimension of an algebraic variety study incorporates themes from Algebraic cycle, Algebraic surface and Geometry.

His Discrete mathematics study integrates concerns from other disciplines, such as Algebraic variety, Multiplicative function and Multiplier. The study incorporates disciplines such as Projective variety, Projective space, Complete intersection and Fundamental group in addition to Algebraic geometry. His biological study deals with issues like Combinatorics, which deal with fields such as Gravitational singularity and Complex variables.

His most cited work include:

  • Positivity in algebraic geometry (1354 citations)
  • Convex bodies associated to linear series (358 citations)
  • On the projective normality of complete linear series on an algebraic curve. (273 citations)

What are the main themes of his work throughout his whole career to date?

Robert Lazarsfeld mainly investigates Pure mathematics, Projective variety, Discrete mathematics, Algebra and Line bundle. His Pure mathematics study combines topics in areas such as Algebraic variety and Mathematical analysis. His Projective variety study necessitates a more in-depth grasp of Combinatorics.

His Discrete mathematics research includes elements of Algebraic geometry, Abelian group and Multiplier. His research investigates the connection between Algebra and topics such as Linear series that intersect with problems in Base. His Projective space research focuses on subjects like Complete intersection, which are linked to Fundamental group.

He most often published in these fields:

  • Pure mathematics (68.03%)
  • Projective variety (36.07%)
  • Discrete mathematics (22.95%)

What were the highlights of his more recent work (between 2010-2021)?

  • Pure mathematics (68.03%)
  • Projective variety (36.07%)
  • Line bundle (16.39%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Pure mathematics, Projective variety, Line bundle, Embedding and Conjecture. His Pure mathematics study frequently links to other fields, such as Degree. His Projective variety research incorporates themes from Algebraic variety, Hilbert's syzygy theorem, Finite set and Direct sum.

As a part of the same scientific study, Robert Lazarsfeld usually deals with the Algebraic variety, concentrating on Invariant and frequently concerns with Algebraic geometry. His research in Line bundle intersects with topics in Algebraic geometry of projective spaces and Algebra. His work in Conjecture covers topics such as Algebraic curve which are related to areas like Rational normal curve, Current and Surface.

Between 2010 and 2021, his most popular works were:

  • Asymptotic syzygies of algebraic varieties (60 citations)
  • Pseudoeffective and nef classes on abelian varieties (48 citations)
  • Measures of irrationality for hypersurfaces of large degree (39 citations)

In his most recent research, the most cited papers focused on:

  • Geometry
  • Algebraic geometry
  • Pure mathematics

Pure mathematics, Embedding, Line bundle, Projective variety and Hilbert's syzygy theorem are his primary areas of study. His study in Abelian variety and Abelian group falls within the category of Pure mathematics. His research on Abelian group often connects related areas such as Discrete mathematics.

His Embedding research is multidisciplinary, incorporating elements of Degree and Conjecture. His biological study spans a wide range of topics, including Event and Infinity. His research integrates issues of Algebraic surface, Algebraic variety, Ample line bundle, Bundle and Algebraically closed field in his study of Hilbert's syzygy theorem.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Positivity in algebraic geometry

Robert Lazarsfeld.
(2004)

2181 Citations

On a theorem of Castelnuovo, and the equations defining space curves

L. Gruson;R. Lazarsfeld;C. Peskine.
Inventiones Mathematicae (1983)

411 Citations

Convex bodies associated to linear series

Robert Lazarsfeld;Mircea Mustață.
Annales Scientifiques De L Ecole Normale Superieure (2009)

389 Citations

On the projective normality of complete linear series on an algebraic curve.

Mark Green;Robert Lazarsfeld.
Inventiones Mathematicae (1986)

315 Citations

Connectivity and its applications in algebraic geometry

William Fulton;William Fulton;Robert Lazarsfeld;Robert Lazarsfeld.
(1981)

292 Citations

Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville

Mark Green;Robert Lazarsfeld.
Inventiones Mathematicae (1987)

284 Citations

Uniform bounds and symbolic powers on smooth varieties

Lawrence Ein;Robert Lazarsfeld;Karen E. Smith.
Inventiones Mathematicae (2001)

257 Citations

Asymptotic invariants of base loci

Lawrence Ein;Robert Lazarsfeld;Mircea Mustaţă;Michael Nakamaye.
Annales de l'Institut Fourier (2006)

250 Citations

A subadditivity property of multiplier ideals.

Jean-Pierre Demailly;Lawrence Ein;Robert Lazarsfeld.
Michigan Mathematical Journal (2000)

245 Citations

On the connectedness of degeneracy loci and special divisors

W. Fulton;R. Lazarsfeld.
Acta Mathematica (1981)

228 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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