What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Topological methods in algebraic geometry (1293 citations)
- CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES, I.* (790 citations)
- Vector bundles and homogeneous spaces (495 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (39.68%)
- Algebra (12.70%)
- Algebraic surface (13.49%)
What were the highlights of his more recent work (between 1992-2018)?
- Pure mathematics (39.68%)
- Combinatorics (11.90%)
- Chern class (10.32%)
In recent papers he was focusing on the following fields of study:
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.
Between 1992 and 2018, his most popular works were:
- 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)
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