What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Algebraic geometry
His primary scientific interests are in Algebra, Pure mathematics, Combinatorics, Mathematical analysis and Algebraic geometry.
His study brings together the fields of Schubert calculus and Algebra.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Class and Ideal.
David Eisenbud interconnects Multiplicity and Polynomial ring in the investigation of issues within Combinatorics.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Weierstrass point, Linear series, Degree and Modular equation.
David Eisenbud works mostly in the field of Algebraic geometry, limiting it down to topics relating to Elimination theory and, in certain cases, Homogeneous coordinate ring and Scheme, as a part of the same area of interest.
His most cited work include:
- Commutative Algebra: with a View Toward Algebraic Geometry (4020 citations)
- Homological algebra on a complete intersection, with an application to group representations (668 citations)
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3 (470 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Pure mathematics, Algebra, Discrete mathematics, Combinatorics and Polynomial ring.
Projective space, Algebraic geometry, Codimension, Commutative algebra and Cohomology are subfields of Pure mathematics in which his conducts study.
His research on Algebra focuses in particular on Dimension of an algebraic variety.
As a part of the same scientific study, David Eisenbud usually deals with the Dimension of an algebraic variety, concentrating on Function field of an algebraic variety and frequently concerns with Algebraic surface and Algebraic cycle.
His work is dedicated to discovering how Discrete mathematics, Ideal are connected with Resolution and other disciplines.
He has researched Combinatorics in several fields, including Maximal ideal and Local ring.
He most often published in these fields:
- Pure mathematics (54.79%)
- Algebra (22.87%)
- Discrete mathematics (21.81%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (54.79%)
- Class (5.85%)
- Degenerate energy levels (4.79%)
In recent papers he was focusing on the following fields of study:
His main research concerns Pure mathematics, Class, Degenerate energy levels, Simple and Algebra.
In his articles, David Eisenbud combines various disciplines, including Pure mathematics and Duality.
His Class research focuses on Projective test and how it connects with Bundle.
His Algebra study combines topics in areas such as Chern class and Singularity theory.
His Singularity theory course of study focuses on Hilbert's syzygy theorem and Commutative ring, Hypersurface and Category theory.
His study focuses on the intersection of Complete intersection and fields such as Conjecture with connections in the field of Degree.
Between 2015 and 2021, his most popular works were:
- 3264 and All That (192 citations)
- Minimal Free Resolutions over Complete Intersections (19 citations)
- Categorified duality in Boij–Söderberg theory and invariants of free complexes (11 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Geometry
David Eisenbud mainly investigates Pure mathematics, Class, Degenerate energy levels, Algebra and Duality.
His research integrates issues of Bundle, Simple and Projective test in his study of Class.
His study in Algebra concentrates on Category theory, Homological algebra, Commutative algebra, Commutative ring and Hypersurface.
David Eisenbud integrates several fields in his works, including Duality, Residual, Mathematical proof and Socle.
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