Friedrich Hirzebruch | Academic Influence

Friedrich Hirzebruch's AcademicInfluence.com Rankings

Friedrich Hirzebruch

Mathematics

#23

World Rank

#79

Historical Rank

Algebraic Geometry

#6

World Rank

#7

Historical Rank

Topology

#7

World Rank

#16

Historical Rank

Measure Theory

#407

World Rank

#593

Historical Rank

mathematics Degrees

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Mathematics

Friedrich Hirzebruch's Degrees

PhD Mathematics University of Göttingen

Why Is Friedrich Hirzebruch Influential?

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According to Wikipedia, Friedrich Ernst Peter Hirzebruch ForMemRS was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as "the most important mathematician in Germany of the postwar period."

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Friedrich Hirzebruch's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Topological methods in algebraic geometry (1966) (937)
CHARACTERISTIC CLASSES AND HOMOGENEOUS SPACES, I.* (1958) (888)
Vector bundles and homogeneous spaces (1961) (589)
Hilbert modular surfaces (1973) (517)
Manifolds and modular forms (1992) (383)
Neue topologische Methoden in der algebraischen Geometrie (1956) (322)
Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus (1976) (303)
Arrangements of Lines and Algebraic Surfaces (1983) (229)
Spin-manifolds and group actions (1970) (225)
The Atiyah-Singer Theorem and Elementary Number Theory (1974) (208)
Analytic cycles on complex manifolds (1962) (202)
Riemann-Roch theorems for differentiable manifolds (1959) (201)
On the Euler number of an orbifold (1990) (171)
Differentiable manifolds and quadratic forms (1971) (167)
Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten (1958) (163)
Über vierdimensionaleRiemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen (1953) (163)
On the index of a fibered manifold (1957) (132)
Some problems on differentiable and complex manifolds (1954) (126)
Automorphe Formen und der Satz von Riemann-Roch (1958) (118)
Elliptic Genera of Level N for Complex Manifolds (1988) (103)
Geradenkonfigurationen und algebraische Flächen (1987) (100)
O (n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten (1968) (99)
The signature of ramified coverings (1969) (98)
Singular Bidouble Covers and the Construction of Interesting Algebraic Surfaces (1999) (97)
Einführung in die Funktionalanalysis (1971) (89)
The signature theorem: Reminiscences and recreation (1971) (89)
Elliptic genera, involutions, and homogeneous spin manifolds (1990) (88)
Singularities of algebraic surfaces and characteristic numbers (1986) (86)
Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten (1951) (69)
Lattices and Codes: A Course Partially Based on Lectures by F. Hirzebruch (1994) (69)
Hilbert modular surfaces and the classification of algebraic surfaces (1974) (68)
The topology of normal singularities of an algebraic surface (d’après un article de D. Mumford) (1964) (67)
The ring of Hilbert modular forms for real quadratic fields in small discriminant (1977) (66)
The Riemann–Roch theorem for analytic embeddings (1962) (66)
Some examples of threefolds with trivial canonical bundle (1987) (56)
Cohomologie-Operationen und charakteristische Klassen (1961) (56)
Chern numbers of algebraic surfaces (1984) (50)
Singularities and exotic spheres (1968) (46)
Prospects in Mathematics (1971) (46)
The Hilbert modular group, resolution of the singularities at the cusps and related problems (1971) (40)
ARITHMETIC GENERA AND THE THEOREM OF RIEMANN-ROCH FOR ALGEBRAIC VARIETIES. (1954) (37)
On Steenrod's Reduced Powers, the Index of Inertia, and the Todd Genus. (1953) (36)
Complex Analysis and Algebraic Geometry: Classification of Hilbert Modular Surfaces (1977) (36)
Bott Periodicity and the Parallelizability of the spheres (1961) (35)
Analytische Geometrie I (1969) (34)
Involutionen auf Mannigfaltigkeiten (1968) (34)
On Artin's Conjecture and Euclid's Algorithm in Global Fields (1977) (32)
HILBERT'S MODULAR GROUP OF THE FIELD Q(√5) AND THE CUBIC DIAGONAL SURFACE OF CLEBSCH AND KLEIN (1976) (29)
Lectures on Hilbert modular surfaces (1981) (28)
Der Satz von Riemann-Roch in Faisceau-theoretischer Formulierung: einige Anwendungen und offene Fragen (1956) (24)
A Riemann-Roch theorem for differentiable manifolds (1960) (24)
Some examples of algebraic surfaces (1982) (23)
Ein Jahrhundert Mathematik 1890–1990 (1990) (22)
Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces (1971) (19)
Lectures on K-theory (1972) (18)
Über die quaternionalen projektiven Räume (1954) (16)
Involutions and singularities (1969) (16)
Übertragung einiger Sätze aus der Theorie der algebraischen Flächen auf komplexe Mannigfaltigkeiten von zwei komplexen Dimensionen. (1953) (15)
Gesammelte Abhandlungen = Collected papers (1987) (14)
Characteristic numbers of homogeneous domains (1957) (14)
Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry (2001) (13)
L-series, modular imbeddings, and signatures (1973) (13)
Algebraic surfaces with extreme Chern numbers (Report on the thesis of Th. Höfer, Bonn 1984) (1985) (12)
On the concept of genus in topology and complex analysis (2009) (12)
Mannigfaltigkeiten und Modulformen (1992) (12)
Arbeitstagung Bonn 1984 (1985) (12)
The projective tangent bundles of a complex three-fold (2005) (12)
Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen (1974) (11)
Elliptische Differentialoperatoren auf Mannigfaltigkeiten (1966) (11)
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe (1978) (10)
41. On The Complex: Projective Spaces (2015) (9)
Differentiable manifolds and quadratic forms : lectures (1962) (8)
The index of an oriented manifold and the Todd genus of an almost complex manifold (1953) (7)
Über Singularitäten komplexer Flächen (1966) (7)
Charakteristische Klassen und Anwendungen (1961) (7)
Emmy Noether and topology. (1999) (7)
Complex cobordism and the elliptic genus. (1999) (6)
Überlagerungen der projektiven Ebene und Hilbertsche Modulflächen (1978) (6)
On the Euler characteristic of manifolds with $c_1 = 0$. A letter to V. Gritsenko. (1999) (6)
The Hilbert modular group and some algebraic surfaces (1987) (6)
Divisionsalgebren und Topologie (1992) (5)
Division Algebras and Topology (1991) (5)
Minimal {H}ilbert modular surfaces with {$p_{g}=3$} and {$k^{2}=2$} (1979) (4)
Hilbert modular surfaces and class numbers (1976) (4)
The cobordism ring (1995) (4)
Wolf prize in mathematics (2000) (3)
Todd arithmetic genus for almost complex manifolds (1953) (3)
Arbeitstagung Bonn, 1984 : proceedings of the meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984 (1985) (3)
Closing Ceremony (1994) (3)
Algebraic geometry, Hirzebruch 70 : proceedings of the Algebraic Geometry Conference in Honor of F. Hirzebruch's 70th birthday, May 11-16, 1998, Stefan Banach International Mathematical Center Warszawa, Poland (1999) (3)
Why do I like Chern, and why do I like Chern classes? (2011) (3)
Lars Valerian Ahlfors (2000) (2)
Free involutions on manifolds and some elementary number theory (1987) (2)
Hirzebruch χy-genera modulo 8 of fiber bundles for odd integers y (2018) (2)
Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie (1989) (2)
On Steenrod reduced powers in oriented manifolds (1953) (2)
On the Euler number of an orbifoid (2005) (2)
Algebraic surfaces with extreme Chern numbers (report on the thesis of Th. Höfer) (1987) (1)
Spezielle G-Mannigfaltigkeiten (1968) (1)
Joseph B. Keller (2000) (1)
The Canonical Map for Certain Hilbert Modular Surfaces (1980) (1)
Kombinatorik in der Geometrie (1992) (1)
Bericht über meine Zeit in der Schweiz in den Jahren 1948-1950 (2010) (1)
Mark Grigor'evich Krein (1990) (1)
Spezielle O(n)-Mannigfaltigkeiten über D2 (1968) (1)
Ganzzahlige quadratische Formen (1968) (1)
Nachruf auf Shiing-Shen Chern (2006) (1)
The Atiyah-Bott-Singer fixed point theorem and number theory (2000) (1)
In memoriam Heinz Hopf (1972) (1)
On the characteristic cohomology classes of differentiable manifolds (1954) (1)
Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie / Primzahlen: Theorie und Anwendung (1989) (1)
Kunihiko Kodaira: mathematician, friend, and teacher. (1998) (1)
Gründungsgeschichte des Max-Planck-Instituts für Mathematik (2006) (1)
A Composition Formula for Manifold Structures (2008) (1)
Centennial of the German Mathematical Society (1991) (1)
Learning complex analysis in Münster, Paris, Zürich and Princeton from 1945 to 1953. (1998) (1)
German-Russian Cooperation in Mathematics (1997) (1)
P. E. Conner and E. E. Floyd, Differentiable Periodic Maps. (Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Band 33) VIII + 148 S. Berlin/Göttingen/Heidelberg 1964. Springer-Verlag. Preis geb. DM 26,— (1966) (0)
Traueransprache für Peter Slodowy, 27.November 2002 (2003) (0)
Bericht über Sphären (1968) (0)
Erinnerung an Heinz Gumin (2011) (0)
Garben- und Cohomologietheorie (1957) (0)
Laudatio auf Jacques Tits (1988) (0)
Eigenschaften des Todd schen Geschlechtes und seiner Verallgemeinerungen (1956) (0)
Mathematik, Studium und Forschung (1974) (0)
Die ganzzahlige homologie gewisser affin algebraischer Mannigfaltigkeiten (1968) (0)
Der Satz von Riemann-Roch und das toddsche arithmetische Geschlecht für algebraische Mannigfaltigkeiten (1954) (0)
Bericht über Arbeiten am Mathematischen Institut der Universität Bonn (1966) (0)
Pontrjagin Classes of Rational Homology Manifold (Geometry of Manifolds) (1972) (0)
Prospects in Mathematics. (AM-70) (1972) (0)
F.ヒルツェブルッフ・インタビュ- (1997) (0)
Multiplicativity in fibre bundles (1992) (0)
The theorem of Riemann-Roch. Application to special classes of algebraic manifolds (1954) (0)
The Atiyah-Singer index theorem (1994) (0)
Andrei N. Kolmogorov (2001) (0)
Andrew J. Wiles (2001) (0)
Peter D. Lax (2001) (0)
Armand Borel (1923–2003), Volume 51, Number 5 (2004) (0)
Teichmüller curves in the Deligne-Mumford compactification (2008) (0)
Wolf Prize in Mathematics: Volume 2 (2001) (0)
The Todd genus (1995) (0)
Axiome, Definitionen, Begriffe in der Mathematik (1990) (0)
The Riemann-Roch theorem for algebraic manifolds (1995) (0)
Eulerian polynomials Friedrich Hirzebruch (2008) (0)
Reminiscences of the Fifties; 80th birthday of Sir Michael Atiyah (2009) (0)
Minimal Hilbert modular surfaces with pg = 3 and K2 = 2 (1987) (0)
Wolf Prize in Mathematics: Volume 1 (2000) (0)
Welcome speech (extended) (2012) (0)
Twisted operators and genera (1992) (0)
Cartan, Europe, and human rights (2010) (0)
The Signature Theorem for Differentiable Manifolds and Some Elementary Number Theory (Geometry of Manifolds) (1972) (0)
Algebraic surfaces and examples of Hilbert modular surfaces (1981) (0)
John W. Milnor (2001) (0)
Opening Address of the Honorary President of ICM’98 (1998) (0)
Positive definite binary quadratic forms and Hilbert modular surfaces (1977) (0)
Riemann-Roch and elliptic genera in the complex case (1994) (0)
A divisibility theorem for elliptic genera (1992) (0)
Raoul Bott as we knew him (2010) (0)
Book Review: Commensurabilities among lattices in PU(1,n) by Pierre Deligne and G. Daniel Mostow (1995) (0)
Cantorpreis für Yuri Ivanovich Manin (2002) (0)
Kunihiko Kodaira: mathematician, friend, and teacher. Kodaira's issue. (2000) (0)
Elias M. Stein (2001) (0)
Regular polyhedra and the football (1996) (0)
Hodge classes on self-products of K 3 surfaces (2009) (0)
A universal addition theorem for genera (1992) (0)
Ilya Piatetski-Shapiro (2001) (0)
Shiing-Shen Chern (2000) (0)
Erratum to: Vorbereitungen (1956) (0)
Die Thomsche Algebra. Anwendungen (1956) (0)
Über den Vorbereitungssatz von Weierstraß. Elliptische Differentialoperatoren auf Mannigfaltigkeiten (1966) (0)
Learning Camplex Analysis from 1945 to 1953 (1998) (0)
Der Satz von Riemann-Roch für algebraische Mannigfaltigkeiten (1956) (0)
Funktional-Analysis : nach einer Vorlesung (1964) (0)
Yakov G. Sinai (2001) (0)
Der Klassifikationssatz für spezielle G-Mannigfaltigkeiten (1968) (0)
Lösung einer Aufgabe von H. Hasse (1970) (0)
Sphären als Umgebungsränder von Singularitäten II (1968) (0)
Gesammelte Abhandlungen. Band 3 : 1988-2012 = Collected papers. Vol. 3 : 1988-2012 (2019) (0)
Introduction to the theory of vector bundles and K-theory: lectures at the Universities of Amsterdam and Bonn (1965) (0)
Mannigfaltigkeiten und algebraische Topologie (1987) (0)
Analytische Geometrie I, Skriptum nach einer Vorlesung von F. Hirzebruch Wintersemester 1968/69 (1969) (0)
Erratum to: Einleitung (1956) (0)
Zahlen : Mit 31 Abbildungen (1983) (0)
Die Mannigfaltigkeiten W2n−1(d) (1968) (0)
Die Vielfachen des Tangentialbündels von Sn (1968) (0)
Zur Theorie der Mannigfaltigkeiten, 18. November 1960 (1961) (0)
Periodische Abbildungen von Sphären (1968) (0)
Kapitel 10. Divisionsalgebren und Topologie (1983) (0)
Quadratische Formen, ARFsche Invariante (1968) (0)
An interview with Professor Friedrich Hirzebruch, Max-Planck-Institut für Mathematik, Bonn (1998) (0)
Jürgen K. Moser (2001) (0)
Die Homologie von Baummannigfaltigkeiten (1968) (0)
Wir sind für uns erfolgreich (2003) (0)

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