What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (63.16%)
- Projective variety (28.95%)
- Combinatorics (23.68%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (63.16%)
- Degree (12.28%)
- Projective variety (28.95%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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