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- Friedrich Hirzebruch

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
43
Citations
10,991
120
World Ranking
1134
National Ranking
61

1988 - Wolf Prize in Mathematics for outstanding work combining topology, algebraic geometry and differential geometry, and algebraic number theory; and for his stimulation of mathematical cooperation and research.

1986 - Member of the National Academy of Sciences

- Pure mathematics
- Topology
- Mathematical analysis

Friedrich Hirzebruch spends much of his time researching Pure mathematics, Topology, Algebra, Hilbert modular surface and Homogeneous. Friedrich Hirzebruch combines subjects such as Elliptic function and Mathematical analysis with his study of Pure mathematics. His study on Topology is mostly dedicated to connecting different topics, such as Vector bundle.

The concepts of his Vector bundle study are interwoven with issues in Geometry and topology, Ring, Todd class, Algebraic geometry and Chern class. Within one scientific family, Friedrich Hirzebruch focuses on topics pertaining to Algebraic surface under Ring, and may sometimes address concerns connected to Cobordism. His study looks at the relationship between Hilbert modular surface and topics such as Hecke operator, which overlap with Modular curve and Discrete mathematics.

- Topological methods in algebraic geometry (1293 citations)
- CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES, I.* (790 citations)
- Vector bundles and homogeneous spaces (495 citations)

Friedrich Hirzebruch mainly investigates Pure mathematics, Algebra, Algebraic surface, Discrete mathematics and Combinatorics. His biological study spans a wide range of topics, including Ring and Mathematical analysis. His biological study deals with issues like Equivalence relation, which deal with fields such as Cobordism.

The various areas that he examines in his Algebraic surface study include Algebraic cycle, Algebraic geometry, Function field of an algebraic variety and Todd class. His research investigates the connection between Discrete mathematics and topics such as Modular form that intersect with problems in Differential geometry. His Combinatorics study also includes fields such as

- Chern class which is related to area like Complex manifold,
- Line bundle which is related to area like Vector bundle.

- Pure mathematics (39.68%)
- Algebra (12.70%)
- Algebraic surface (13.49%)

- Pure mathematics (39.68%)
- Combinatorics (11.90%)
- Chern class (10.32%)

His primary scientific interests are in Pure mathematics, Combinatorics, Chern class, Genus and Differentiable function. In his study, Friedrich Hirzebruch carries out multidisciplinary Pure mathematics and Leech lattice research. Friedrich Hirzebruch connects Chern class with Algebraic geometry and analytic geometry in his research.

His Genus study combines topics from a wide range of disciplines, such as Tangent, Principal bundle, Topology, Topology and Complex manifold. His research investigates the connection with Differentiable function and areas like Class which intersect with concerns in Cobordism and Polynomial. His work deals with themes such as Algebraic geometry and Algebraic surface, which intersect with Intersection homology.

- Lattices and Codes: A Course Partially Based on Lectures by F. Hirzebruch (48 citations)
- The projective tangent bundles of a complex three-fold (11 citations)
- Groupes et géométries de Coxeter (11 citations)

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.

Topological methods in algebraic geometry

Friedrich Hirzebruch.

**(1966)**

2066 Citations

CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES, I.*

Friedrich Hirzebruch;Armand Borel.

American Journal of Mathematics **(1958)**

1312 Citations

Vector bundles and homogeneous spaces

Michael Francis Atiyah;Friedrich Hirzebruch.

Symposium on Differential Geometry **(1961)**

795 Citations

Manifolds and modular forms

Friedrich Hirzebruch;Thomas Berger;Rainer Jung;Peter S. Landweber.

**(1992)**

443 Citations

Hilbert modular surfaces

Friedrich Hirzebruch.

L'Enseignement Mathématique **(1973)**

431 Citations

Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus

Friedrich Hirzebruch;Don Zagier.

Inventiones Mathematicae **(1976)**

430 Citations

Neue topologische Methoden in der algebraischen Geometrie

Friedrich Hirzebruch.

**(1956)**

375 Citations

Spin-manifolds and group actions

Michael Atiyah;Friedrich Hirzebruch.

**(1970)**

307 Citations

Arrangements of Lines and Algebraic Surfaces

Friedrich Hirzebruch.

**(1983)**

272 Citations

Analytic cycles on complex manifolds

M.F. Atiyah;F. Hirzebruch.

Topology **(1962)**

269 Citations

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