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- Robert Lazarsfeld

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
9,805
89
World Ranking
1266
National Ranking
583

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

Positivity in algebraic geometry

Robert Lazarsfeld.

**(2004)**

2328 Citations

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

L. Gruson;R. Lazarsfeld;C. Peskine.

Inventiones Mathematicae **(1983)**

429 Citations

Convex bodies associated to linear series

Robert Lazarsfeld;Mircea Mustață.

Annales Scientifiques De L Ecole Normale Superieure **(2009)**

426 Citations

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

Mark Green;Robert Lazarsfeld.

Inventiones Mathematicae **(1986)**

327 Citations

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

Mark Green;Robert Lazarsfeld.

Inventiones Mathematicae **(1987)**

302 Citations

Connectivity and its applications in algebraic geometry

William Fulton;William Fulton;Robert Lazarsfeld;Robert Lazarsfeld.

**(1981)**

296 Citations

Asymptotic invariants of base loci

Lawrence Ein;Robert Lazarsfeld;Mircea Mustaţă;Michael Nakamaye.

Annales de l'Institut Fourier **(2006)**

272 Citations

Uniform bounds and symbolic powers on smooth varieties

Lawrence Ein;Robert Lazarsfeld;Karen E. Smith.

Inventiones Mathematicae **(2001)**

272 Citations

Brill-Noether-Petri without degenerations

Robert Lazarsfeld.

Journal of Differential Geometry **(1986)**

235 Citations

On the connectedness of degeneracy loci and special divisors

W. Fulton;R. Lazarsfeld.

Acta Mathematica **(1981)**

234 Citations

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