2026 Robert Lazarsfeld: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	48	1196	1022	533	421	100	10976

Research.com Recognitions

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

Robert Lazarsfeld is affiliated with Stony Brook University in the United States. Their research primarily focuses on mathematics, with a significant concentration on algebraic geometry and number theory. Lazarsfeld's scholarly work spans multiple subfields, including geometry and topology, algebra and number theory, computational theory and mathematics, mathematical physics, and discrete mathematics and combinatorics.

The main topics covered in their research include:

Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Mathematical Dynamics and Fractals
Advanced Combinatorial Mathematics

The recent published papers by Lazarsfeld include the following:

Measures of association between algebraic varieties, 2023, Selecta Mathematica
Measures of association between algebraic varieties, II: self-correspondences, 2023, Épijournal de Géométrie Algébrique
Measures of association between algebraic varieties, 2021, arXiv (Cornell University)

Lazarsfeld has also been involved in publications appearing in several academic venues. Their frequent publication platforms include:

arXiv (Cornell University)
Selecta Mathematica
Épijournal de Géométrie Algébrique
Algebra & Number Theory
Notices of the American Mathematical Society

Collaboration has played a role in their academic output, with recurrent coauthors being:

Olivier Martin
Lawrence Ein
Huy Tài Hà
John T. Sheridan
Hirotachi Abo

The scientist has been recognized with several awards and honors across their career. These include:

Steele Prize for Mathematical Exposition, 2015
Fellow of the American Mathematical Society, 2013
Fellow of the American Academy of Arts and Sciences, 2006
Fellow of John Simon Guggenheim Memorial Foundation, 1998
Fellow of Alfred P. Sloan Foundation, 1984

Best Publications

Positivity in algebraic geometry

Robert Lazarsfeld

2538
Citations
Convex bodies associated to linear series

Robert Lazarsfeld;Mircea Mustață

503
Citations
On a theorem of Castelnuovo, and the equations defining space curves

L. Gruson;R. Lazarsfeld;C. Peskine

451
Citations
On the projective normality of complete linear series on an algebraic curve.

Mark Green;Robert Lazarsfeld

350
Citations
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville

Mark Green;Robert Lazarsfeld

316
Citations
Connectivity and its applications in algebraic geometry

William Fulton;William Fulton;Robert Lazarsfeld;Robert Lazarsfeld

309
Citations
Uniform bounds and symbolic powers on smooth varieties

Lawrence Ein;Robert Lazarsfeld;Karen E. Smith

296
Citations
Asymptotic invariants of base loci

Lawrence Ein;Robert Lazarsfeld;Mircea Mustaţă;Michael Nakamaye

292
Citations
Brill-Noether-Petri without degenerations

Robert Lazarsfeld

257
Citations
On the connectedness of degeneracy loci and special divisors

W. Fulton;R. Lazarsfeld

249
Citations
Higher obstructions to deforming cohomology groups of line bundles

Mark Green;Robert Lazarsfeld

240
Citations
Singularities of theta divisors and the birational geometry of irregular varieties

Lawrence Ein;Robert Lazarsfeld

223
Citations
A Sampling of Vector Bundle Techniques in the Study of Linear Series

Robert Lazarsfeld

222
Citations
A subadditivity property of multiplier ideals.

Jean-Pierre Demailly;Lawrence Ein;Robert Lazarsfeld

220
Citations
Special divisors on curves on aK3 surface

Mark Green;Robert Lazarsfeld

215
Citations
Global generation of pluricanonical and adjoint linear series on smooth projective threefolds

Lawrence Ein;Robert Lazarsfeld

212
Citations
Some results on the syzygies of finite sets and algebraic curves

M. Green;R. Lazarsfeld

207
Citations
Vanishing theorems, a theorem of Severi, and the equations defining projective varieties

Aaron Bertram;Aaron Bertram;Aaron Bertram;Lawrence Ein;Lawrence Ein;Lawrence Ein;Robert Lazarsfeld;Robert Lazarsfeld;Robert Lazarsfeld

192
Citations
A sharp Castelnuovo bound for smooth surfaces

Robert Lazarsfeld

189
Citations
Restricted volumes and base loci of linear series

Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

188
Citations
Classical setting : line bundles and linear series

R. Lazarsfeld

121
Citations
Positivity for vector bundles, and multiplier ideals

R. Lazarsfeld

27
Citations
Asymptotic invariants of base loci

Lawrence Ein;Robert Lazarsfeld;Mircea Mustata;Michael Nakamaye

3
Citations

Frequent Co-Authors

Lawrence Ein University of Illinois at Chicago

Mircea Mustata University of Michigan–Ann Arbor

William Fulton University of Michigan–Ann Arbor

David R. Morrison University of California, Santa Barbara

János Kollár Princeton University

Joe Harris Harvard University

Jean-Pierre Demailly Grenoble Alpes University

Claire Voisin Institut de Mathématiques de Jussieu

Ron Donagi University of Pennsylvania

External Links

Wikipedia of Robert Lazarsfeld Personal website of Robert Lazarsfeld Google Scholar page

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