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- Lawrence Ein

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
32
Citations
4,474
83
World Ranking
2407
National Ranking
1021

2013 - Fellow of the American Mathematical Society

1986 - Fellow of Alfred P. Sloan Foundation

- Algebra
- Mathematical analysis
- Pure mathematics

Combinatorics, Pure mathematics, Base, Discrete mathematics and Projective variety are his primary areas of study. His Combinatorics study combines topics in areas such as Multiplier ideal and Projective space. His Pure mathematics research is multidisciplinary, relying on both Dual, Mathematical analysis and Linear space.

Lawrence Ein studied Base and Base locus that intersect with Subvariety and Divisor. His Discrete mathematics research includes elements of Algebraic variety, Multiplier and Zero. His Projective variety research incorporates themes from Complete intersection and Kodaira vanishing theorem.

- Uniform bounds and symbolic powers on smooth varieties (257 citations)
- Asymptotic invariants of base loci (228 citations)
- Singularities of theta divisors and the birational geometry of irregular varieties (196 citations)

Lawrence Ein mostly deals with Pure mathematics, Projective variety, Combinatorics, Discrete mathematics and Line bundle. His Pure mathematics research is multidisciplinary, incorporating perspectives in Algebraic variety, Gravitational singularity, Mathematical analysis and Variety. He combines subjects such as Hilbert's syzygy theorem, Projective space, Simple, Invariant and Ample line bundle with his study of Projective variety.

Lawrence Ein works mostly in the field of Projective space, limiting it down to topics relating to Algebra and, in certain cases, Line, as a part of the same area of interest. His biological study spans a wide range of topics, including Hypersurface, Base and Multiplicity. His Discrete mathematics research is multidisciplinary, incorporating elements of Intersection, Algebraic geometry and Codimension.

- Pure mathematics (63.16%)
- Projective variety (28.95%)
- Combinatorics (23.68%)

- Pure mathematics (63.16%)
- Degree (12.28%)
- Projective variety (28.95%)

His primary areas of study are Pure mathematics, Degree, Projective variety, Embedding and Line bundle. His Degree research incorporates elements of Complete intersection, Dimension, Applied mathematics and Interpolation. In his research on the topic of Projective variety, Algebraic geometry is strongly related with Invariant.

His research in Line bundle intersects with topics in Gravitational singularity and Secant variety. His Multiplier study which covers Direct sum that intersects with Projective space. Lawrence Ein has researched Projective space in several fields, including Family of curves, Mathematical proof and Combinatorics.

- Measures of irrationality for hypersurfaces of large degree (39 citations)
- A quick proof of nonvanishing for asymptotic syzygies (14 citations)
- A vanishing theorem for weight-one syzygies (6 citations)

- Algebra
- Mathematical analysis
- Topology

Lawrence Ein spends much of his time researching Degree, Embedding, Pure mathematics, Line bundle and Projective variety. His Degree study combines topics from a wide range of disciplines, such as Dimension, Interpolation, Family of curves, Simple and Applied mathematics. His Dimension study integrates concerns from other disciplines, such as Ideal, Mathematical proof, Group, Cohomology and Hypersurface.

He has included themes like Hilbert's syzygy theorem, Betti number, Projective test and Conjecture in his Embedding study.

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.

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

Singularities of theta divisors and the birational geometry of irregular varieties

Lawrence Ein;Robert Lazarsfeld.

Journal of the American Mathematical Society **(1997)**

212 Citations

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

Lawrence Ein;Robert Lazarsfeld.

Journal of the American Mathematical Society **(1993)**

204 Citations

A subadditivity property of multiplier ideals.

Jean-Pierre Demailly;Lawrence Ein;Robert Lazarsfeld.

Michigan Mathematical Journal **(2000)**

197 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.

Journal of the American Mathematical Society **(1991)**

184 Citations

Restricted volumes and base loci of linear series

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

American Journal of Mathematics **(2009)**

171 Citations

Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension

Lawrence Ein;Robert Lazarsfeld.

Inventiones Mathematicae **(1993)**

161 Citations

Varieties with small dual varieties, I.

Lawrence Ein.

Inventiones Mathematicae **(1986)**

157 Citations

Jumping coefficients of multiplier ideals

Lawrence Ein;Robert Lazarsfeld;Karen E. Smith;Dror Varolin.

Duke Mathematical Journal **(2004)**

140 Citations

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