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- Robin Hartshorne

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
33
Citations
10,754
98
World Ranking
2115
National Ranking
904

2013 - Fellow of the American Mathematical Society

1970 - Fellow of Alfred P. Sloan Foundation

- Geometry
- Algebra
- Pure mathematics

His primary areas of investigation include Pure mathematics, Discrete mathematics, Algebra, Vector bundle and Local cohomology. His Pure mathematics study frequently links to other fields, such as Dimension of an algebraic variety. His work on Hilbert–Poincaré series as part of general Discrete mathematics research is frequently linked to Hilbert series and Hilbert polynomial, Hilbert manifold, Hilbert R-tree and Social connectedness, thereby connecting diverse disciplines of science.

His work on Hilbert scheme is typically connected to Hilbert's basis theorem and Hilbert's fourteenth problem as part of general Algebra study, connecting several disciplines of science. The concepts of his Vector bundle study are interwoven with issues in Moduli of algebraic curves, Genus, Calculus and Rank. His Local cohomology research includes elements of Derived category, Morphism, Poincaré duality and Affine transformation.

- Residues and duality (1526 citations)
- Ample subvarieties of algebraic varieties (649 citations)
- Stable reflexive sheaves (475 citations)

Robin Hartshorne mostly deals with Pure mathematics, Combinatorics, Algebra, Discrete mathematics and Codimension. His Pure mathematics study frequently draws parallels with other fields, such as Local cohomology. His research integrates issues of Space, Resolution, Intersection and Order in his study of Combinatorics.

His Discrete mathematics study often links to related topics such as Algebraic geometry of projective spaces. His Codimension study deals with Scheme intersecting with Class and Homogeneous coordinate ring. His study explores the link between Vector bundle and topics such as Chern class that cross with problems in Moduli space.

- Pure mathematics (49.57%)
- Combinatorics (20.87%)
- Algebra (19.13%)

- Combinatorics (20.87%)
- Pure mathematics (49.57%)
- Discrete mathematics (18.26%)

His primary areas of study are Combinatorics, Pure mathematics, Discrete mathematics, Codimension and Degree. His work deals with themes such as Intersection, Moduli space, Space, Order and Rational point, which intersect with Combinatorics. In most of his Pure mathematics studies, his work intersects topics such as Local cohomology.

Robin Hartshorne has included themes like Projective variety, Simple and Algebraic geometry of projective spaces in his Discrete mathematics study. The study incorporates disciplines such as Scheme and Algebraic geometry in addition to Codimension. The various areas that Robin Hartshorne examines in his Degree study include Hilbert scheme and Genus.

- ACM bundles on cubic surfaces (83 citations)
- STABLE ULRICH BUNDLES (73 citations)
- Generalized divisors and biliaison (51 citations)

- Geometry
- Algebra
- Algebraic geometry

His scientific interests lie mostly in Codimension, Pure mathematics, Combinatorics, Discrete mathematics and Invertible matrix. His Codimension research is multidisciplinary, incorporating elements of Scheme and Divisor. He works mostly in the field of Combinatorics, limiting it down to topics relating to Order and, in certain cases, Space, Topology, Series, Line and Hilbert scheme, as a part of the same area of interest.

His Discrete mathematics study incorporates themes from Algebraic geometry and Algebraic geometry of projective spaces. His biological study spans a wide range of topics, including Algebraic variety, Surface and Rank. His Rank research focuses on Chern class and how it connects with Algebra.

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.

Residues and duality

Robin Hartshorne.

**(1966)**

2871 Citations

Ample subvarieties of algebraic varieties

Robin Hartshorne.

**(1970)**

955 Citations

Stable reflexive sheaves

Robin Hartshorne.

Mathematische Annalen **(1980)**

794 Citations

Geometry: Euclid and Beyond

Robin Hartshorne.

**(2000)**

608 Citations

Ample vector bundles

Robin Hartshorne.

**(1966)**

398 Citations

On the de Rham cohomology of algebraic varieties

Robin Hartshorne.

Publications Mathématiques de l'IHÉS **(1975)**

392 Citations

Stable vector bundles of rank 2 on P 3

Robin Hartshorne.

Mathematische Annalen **(1978)**

389 Citations

Cohomological Dimension of Algebraic Varieties

Robin Hartshorne.

Annals of Mathematics **(1968)**

337 Citations

Connectedness of the Hilbert scheme

Robin Hartshorne.

Publications Mathématiques de l'IHÉS **(1966)**

334 Citations

Affine duality and cofiniteness

Robin Hartshorne.

Inventiones Mathematicae **(1970)**

326 Citations

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