Born October 17, 1927 in Hamm (Westfalen), Germany
Father: Dr. Fritz Hirzebruch, director of a secondary school
Mother: Martha Hirzebruch, née Holtschmit
married with Ingeborg Hirzebruch, née Spitzley, since August 7, 1952
Children: Ulrike, Barbara, Michael (born 1953, 1956, 1958)
Grandchildren: Stefan, Christof, Johannes, Martin, Christian, Susanne
Study of Mathematics, Physics and Mathematical Logic at the University of Münster (1945 - 50) and at the Federal School of Technology, Zürich, Switzerland (1949 - 50)
Promotion Dr. rer.nat. University of Münster (1950)
Scientific Assistant, University of Erlangen, Germany (1950 - 52)
Member, Institute for Advanced Study, Princeton, New Jersey, USA (1952 - 54)
Stipend State Northrhine Westphalia, University of Münster (1954 - 55)
Habilitation in Mathematics, University of Münster (1955)
Assistant Professor, Princeton University, Princeton, New Jersey, USA (1955 - 56)
Full Professor of Mathematics, Bonn University, Bonn, Germany (since 1956; Emeritus 1993)
Dean, Faculty of Mathematics and Natural Sciences, Bonn University (1962 - 64)
Chairman, Special Research Area "Theoretical Mathematics" at Bonn University (1969 - 85)
Director of the Max Planck Institute for Mathematics, Bonn (since 1980; retired 1995)
Member, German Academy of Sciences (Naturforscher) Leopoldina (1963)
Corresponding member, Heidelberg Academy of Sciences (1966)
Member, Nordrhein-Westfälische Academy of Sciences (1967)
Member, Mainz Academy of Sciences and Literature (1967)
Foreign member, Royal Academy of Sciences of the Netherlands (1972)
Member, European Academy of Arts, Sciences and Humanities (1980)
Foreign Associate, National Academy of Sciences, USA (1986)
Corresponding member, Bavarian Academy of Sciences (1987)
Foreign member, Finish Academy of Sciences (1987)
Member, Academia Europaea (1988)
Foreign member, Russian Academy of Sciences (1988)
Honorary member, Royal Irish Academy Dublin (1989)
Foreign associate, Academy of Sciences, Institut de France (1990)
Corresponding member, Göttingen Academy of Sciences (1991)
Foreign honorary member, American Academy of Arts and Sciences (1992)
Foreign member, Ucrainian Academy of Sciences, Kiev (1993)
Corresponding member, Saxonian Academy of Sciences, Leipzig (1993)
Extraordinary Member, Berlin-Brandenburg Academy of Sciences, Berlin (1993)
Foreign member, Royal Society, London (1994)
Foreign member, Polish Academy of Sciences (1997)
Honorary member, London Mathematical Society (1975)
Honorary fellow, Robinson College, Cambridge, England (1989)
Honorary member, Mathematical Society in Hamburg (1989)
Honorary member, German Mathematical Society (1992)
Honorary doctorates of the Universities
Warwick (1980), Göttingen (1982), Oxford (1984), Wuppertal (1987), Notre Dame (1989), Trinity College, Dublin (1992), Athens (1993), Potsdam (1995), Konstanz (1999)
Silver medal ETH Zürich (1950)
Wolf-Prize in Mathematics, Israel (1988)
Lobachevskij-Prize of the Academy of Sciences USSR (1990)
Order Pour le mérite for Sciences and Arts (1991)
Medal of the City of Paris (1992)
German great cross of merit (Großes Verdienstkreuz) with star (1993)
Seki Prize of the Japanese Mathematical Society (Gold medal 1996)
Order of the Sacred Treasure, Gold and Silver Stars (Japan 1996)
Cothenius Gold Medal, Deutsche Akademie der Naturforscher Leopoldina (1997)
Lomonosov Gold Medal of the Russian Academy of Sciences (1997)
Albert Einstein Medal, Albert Einstein Society, Bern (1999)
Stefan Banach Medal of the Polish Academy of Sciences (1999)
Krupp Science Prize (2000)
President German Mathematical Society (1961 - 62 and 1990)
Member Executive Committee of the International Mathematical Union (1963 - 66)
Member of the Senate of the German Research Association (Deutsche Forschungs- gemeinschaft) (1962 - 72)
Chairman, Exchange Committee of the International Mathematical Union (1967 - 74)
Member, Selection Committee in Mathematics of the German Research Association (1972 - 1980)
Member of Selection Committees of the Alexander von Humboldt-Foundation (since 1979)
Chairman of the Program Committee of the International Congress of Mathematicians, Berkeley (1986)
Member Board of Governors, Tel Aviv University, Israel (1989 – 1992)
Member, Scientific Council of the Edmund Landau Center for Analysis, Hebrew University, Israel (since 1988)
President of the European Mathematical Society (since its foundation in October 1990 until December 31, 1994)
Member, Scientific Council of the State of Berlin (Landeshochschulstrukturkommission) (1991 - 1992)
Chairman, Scientific Council, Banach Mathematical Institute, Warsaw, Poland (since 1992)
Chairman, Scientific Council, Emmy Noether Institute of Mathematics, Bar-Ilan University, Israel (since 1992)
Honorary President of the International Mathematical Congress Berlin (1998)
Chairman of the Andrejewski Foundation, Stifterverband, Essen, Germany (since 1999)
Editor "Mathematische Annalen", Springer-Verlag (1961 - 1996)
Editor "Topology", Pergamon Press (since 1962)
Research visits of one month or longer:
Institute for Advanced Study (Princeton), University of California (Berkeley), Harvard University, University of Pennsylvania, Mathematical Sciences Research Institute (Berkeley), Collège de France (Paris), Institut des Hautes Etudes Scientifiques (Bures-sur-Yvette), Oxford University, Amsterdam University, Kabul University, Academia Sinica Beijing, Kyoto University, Instituto de Matemática Pura e Aplicada Rio de Janeiro.
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F. Hirzebruch
Arbeiten
1. ?ber eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. Math. Ann. 124 (1951), 77-86.
2. ?ber vierdimensionale Riemannsche
Flächen mehrdeutiger analytischer
Funktionen von zwei komplexen Veränderlichen.
Math.
Ann. 126 (1953), 1-22.
3. ?bertragung einiger Sätze
aus der Theorie der algebraischen Flächen
auf komplexe Mannigfaltigkeiten von zwei komplexen
Dimensionen. J. Reine Angew. Math. 191 (1953), 110-124.
4. Todd arithmetic genus for almost complex manifolds. Vervielfältigtes Manuskript, Princeton University, 1953.
5. On Steenrod reduced powers in oriented manifolds. Vervielfältigtes Manuskript, Princeton University, 1953.
6. The index of an oriented manifold
and the Todd genus of an almost complex manifold. Vervielfältigtes
Manuskript, Princeton
University, 1953.
7. ?ber die quaternionalen projektiven Räume. Sitzungsber. Bayer. Akad. Wiss. Math.- Naturwiss. K1. 27 (1953), 301-312.
8. On Steenrod's reduced powers, the index of inertia, and the Todd genus. Proc. Natl. Acad. Sci. USA, 39 (1953), 951-956.
9. Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Proc. Natl. Acad. Sci. USA, 40 (1954), 110-114.
10. Some problems on differentiable and complex manifolds. Ann. Math., II. Ser. 60 (1954), 213-236.
11. Der Satz von Riemann-Roch und das Toddsche artihmetische
Geschlecht f?r algebraische Mannigfaltigkeiten, In: Proc.
International Congress of Mathematicians 1954,
vol. II, S. 232-234. Amsterdam: North Holland 1954.
12. Der Satz von Riemann-Roch in faisceau-theoretischer
Formulierung. Einige Anwendungen und offene Fragen, In: Proc.
International Congress of Mathematicians 1954,
vol. III, S. 457-473. Amsterdam: North Holland 1956.
13. On the characteristic cohomology
classes of differentiable manifolds. In: Colloque Henri Poincaré
Paris 1954, Textes des
conferences, o.S., Paris: Institut Henri Poincaré
1954.
14. The theorem of Riemann-Roch. Applications
to special classes of algebraic manifolds. In: Colloque Henri Poincaré,
Paris, 1954.
Textes des conférences,
o.S., Paris: Institut Henri Poincaré 1954.
15. (mit S.S. Chern und J-P. Serre) On the index of a fibered manifold. Proc. Am. Math. Soc. 8 (1957), 587-596.
16. Automorphe Formen und der Satz
von Riemann-Roch. In: Symposium Internacional de Topologia Algebraica (México
1956) S.
129-144. México:
La Universidad Nacional Autónoma
de México 1958.
17. Characteristic numbers of homogeneous domains, In: Seminars on analytic functions, vol. II, S. 92-104, IAS, Princeton 1957.
18. (mit K. Kodaira) On the complex projective spaces. J. Math. Pures Appl., IX Ser. 36 (1957), 201-216.
19. (mit A. Borel) Characteristic classes and homogeneous spaces, I. Am. J. Math. 80 (1958), 458-538.
20. (mit H. Hopf) Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. Math. Ann. 136 (1958), 156-172.
21. A Riemann-Roch theorem for differentiable
manifolds. Séminaire Bourbaki
(Février 1959), Exp.
177, Textes des conferences,
o.S., Paris: Institut Henri Poincaré
1959.
22. (mit A. Borel) Characteristic classes and homogeneous spaces, II. Am. J. Math. 81 (1959), 315-382.
23. Komplexe Mannigfaltigkeiten, In: Proc. International
Congress of Mathematicians 1958, S. 119-136. Cambridge: University Press
1960.
24. (mit M. F. Atiyah) Riemann-Roch theorems for differentiable manifolds. Bull. Am. Math. Soc. 65 (1959), 276-281.
25. (mit M. F. Atiyah) Quelques théorèmes
de non-plongement pour les variétés
différentiables. Bull.
Soc. Math. Fr. 87 (1959), 383-
396.
26. (mit A. Borel) Characteristic classes and homogeneous spaces, III. Am. J. of Math. 82 (1960), 491-504.
27. (mit M. F. Atiyah) Vector bundles and homogeneous
spaces. In: Proc. Symp. Pure Math. 3 S. 7-38. Providence: Amer. Math.
Soc. 1961.
28. (mit M. F. Atiyah) Bott periodicity and the parallelizability of the spheres. Proc. Cambridge Phil. Soc. 57 (1961), 223-226.
29. (mit M. F. Atiyah) Analytic cycles on complex manifolds. Topology 1 (1962), 25-46.
30. Zur Theorie der Mannigfaltigkeiten, 18. November 1960, Vortragsauszug Int. Math. Nachrichten, Nr. 67, Jhg. 15, 1961, S. 50.
31. (mit M. F. Atiyah) Cohomologie-Operationen und charakteristische Klassen. Math. Z. 77 (1961), 149-187.
32. (mit M. F. Atiyah) Charakteristische Klassen und Anwendungen. Enseign. Math., II Ser. 7 (1961), 188-213.
33. (mit M. F. Atiyah) The Riemann-Roch theorem for analytic embeddings, Topology 1 (1962), 151-166.
34. The topology of normal singularities
of an algebraic surface (d'après
un article de D. Mumford), Séminaire
Bourbaki 1962/63,
Exp. 250, Textes des conférences,
o.S. Paris: Institut Henri Poincaré 1963.
35. Lectures on K-theory. Lecture notes of the AMS
Summer Topology Institute, Seattle 1963. In: Algebraic Topology. A student's
guide (ed. J.F. Adams). London Math. Soc. Lect.
Note Series 4, S. 223-238. Cambridge: University Press 1972.
36. Bericht ?ber Arbeiten am Mathematischen
Institut der Universität
Bonn, In: Landesamt f?r Forschung, Jahrbuch 1965, S. 311-
326, Köln
und Opladen: Westdeutscher Verlag 1965.
37. Elliptische Differentialoperatoren
auf Mannigfaltigkeiten, In: Arbeitsgemeinschaft f?r Forschung des Landes
Nordrhein-Westfalen,
Wiss. Abhdl. Bd. 33, S. 583-608, Köln
und Opladen: Westdeutscher Verlag 1966.
38. ?ber Singularitäten komplexer Flächen, Rend. Math. Appl., V. Ser. 25 (1966), 213- 232.
39. Singularities and exotic spheres,
Séminaire Bourbaki, 1966/67,
Exp. 314 Textes des conférences,
o.S., Paris: Institut Henri
Poincaré 1967.
40. Involutionen auf Mannigfaltigkeiten, In: Proceedings
of the Conference on Transformation groups, New Orleans 1967, S. 148-166,
Berlin-Heidelberg-New York: Springer 1968.
41. (mit K. Jänich)
Involutions and Singularities, In: Proc. of the Int. Colloq. on Algebraic Geometry,
Bombay 1968, S. 219-240,
Oxford: University Press 1969.
42. The signature of ramified coverings, In: Global
Analysis, Papers in Honor of K. Kodaira, S. 253-265, Tokyo: University of
Tokyo
Press and Princeton University Press 1969.
43. (mit M. F. Atiyah) Spin-manifolds
and group actions, In: Memoires dédiés
à Georges de Rham,
S. 18-28, Berlin-Heidelberg-New
York: Springer 1970.
44. Lösung einer Aufgabe von H. Hasse, Jahresber. Dtsch. Math.-Ver. 72 (1970), 29-32.
45. Free involutions on manifolds and some elementary
number theory. In: Symposia Mathematica Vol. V, Instituto Nazionale di Alta
Matematica Roma, 1970, S. 411-419. London-New York:
Academic Press 1971.
46. Pontrjagin classes of rational homology manifolds
and the signature of some affine hypersurfaces, In: Proc. of Liverpool
Singularities Symposium II, Lecture Notes in Math.
209, S. 207-212, Berlin-Heidelberg-New York: Springer 1971.
47. The signature theorem: Reminiscences and recreation, In: Prospects in Mathematics, Ann. Math. Stud., 70 (1971), 3-31.
48. The Hilbert modular group, resolution of the singularities at the cusps and related problems, Séminaire Bourbaki, 1970/71, exp. 396, Lecture Notes in Math. 244, S. 275-288, Berlin-Heidelberg-New York: Springer 1971.
49. (mit H. Behnke) In memoriam Heinz Hopf. Math. Ann. 196 (1972), 1-7.
50. The Hilbert modular group and some algebraic
surfaces, In: Proc. Int. Conf. Number Theory Moscow 1971. Proc. Steklov
Instituteof Mathematics 132 (1973) 59-72 (russ.
in: Trudy Mat. Inst. Steklov 132 (1973)).
51. Hilbert modular surfaces, Enseign. Math. 19 (1973), 183-281.
52. (mit W. F. Hammond) L-series, Modular Imbeddings and signatures, Math. Ann. 204 (1973), 263-270.
53. (mit A. Van de Ven) Hilbert modular surfaces and the classification of algebraic surfaces, Invent. Math. 23 (1974), 1-29.
54. Mathematik, Studium und Forschung. In: Mathematiker
?ber die Mathematik, Herausgeb. M. Otte, S. 451-467. Berlin-
Heidelberg-New York: Springer 1974.
55. Kurven auf den Hilbertschen Modulflächen
und Klassenzahlrelationen, In: Classification of algebraic varieties and
compact
complex manifolds. Lecture Notes in Math. 412,
S. 75-93, Berlin-Heidelberg-New York: Springer 1974.
56. Hilbert modular surfaces and class numbers, Astérisque 32-33 (1976), 151-164.
57. Hilbert's modular group of the field Q ( ) and
the cubic diagonal surface of Clebsch and Klein, Russ. Math. Surv. 31:5
(1976), 96-
110, (russ. in: Usp. Mat. Nauk 31:5 (1976),
153-166).
58. Positive definite binary quadratic
forms and Hilbert modular surfaces. In: Journées
arithmétiques de Caen.
Astérisque 41-42
(1977), 229-230.
59. Intersection numbers of curves on Hilbert modular surfaces. Séminaire Delange-Pisot- Poitou, 1975/76, n°. 22, 35.
60. (mit D. Zagier) Intersection numbers of curves
on Hilbert modular surfaces and modular forms of Nebentypus, Invent. Math.
36
(1976), 57-113.
61. (mit D. Zagier) Classification of Hilbert modular
surfaces, In: Complex analysis and algebraic geometry, S. 43-77, Cambridge:
University Press and Iwanami Shoten 1977.
62. The ring of Hilbert modular forms for real quadratic
fields of small discriminant, In: Lecture Notes in Math. 627, S. 288-323,
Berlin-Heidelberg-New York: Springer 1977.
63. Modulflächen und Modulkurben zur symmetrischen Hilbertschen Modulgruppe Ann. Sci. Ec. Norm. Supér. IV. Ser. 11 (1978), 101-166.
64. ?berlagerungen der projektiven Ebene und Hilbertsche Modulflächen, Enseign. Math. 24 (1978), 63-78.
65. (mit A. Van de Ven) Minimal Hilbert modular surfaces with pg=3 and K2=2, Am. J. Math. 101 (1979), 132-148.
66. The canonical map for certain Hilbert modular surfaces, In: The Chern Symposium 1979, S. 75-95, New York: Springer 1980.
67. The icosahedron. Raymond and Beverly Sackler Distinguished Lect. in Maths. Tel Aviv University, 50-81, März 1981.
68. Some examples of algebraic surfaces, In: Contemp. Math. 9, S. 55-71, Providence: Amer. Math. Soc. 1982.
69. Arrangements of lines and algebraic
surfaces, In: Arithmetic and Geometry, vol. II, Prog. Math. 36 S. 113-140,
Boston-Basel-
Stuttgart: Birkhäuser
1983.
70. Mannigfaltigkeiten und algebraische Topologie,
In: C. Schneider (Hrsg.): Forschung in der Bundesrepublik Deutschland, S.
489-
506, Weinheim: Verlag Chemie, 1983. (Deutsche Forschungsgemeinschaft).
71. Chern numbers of algebraic surfaces - an example, Math. Ann. 266 (1984), 351-356.
72. (mit R. Leis) Mathematik als Grundlagen- und
Angewandte Wissenschaft, In: K. Stackmann; A. Streiter (Hrsg.):
Sonderforschungsbereiche 1969-1984, S. 245-262
Weinheim: VCH Verlagsgesellschaft, 1985. (Deutsche
Forschungsgemeinschaft).
73. Algebraic surfaces with extreme
Chern numbers, (report on the thesis of Th. Höfer)
Russ. Math. Surv. 40:4 (1985), 135-145
(russ. in Usp. Mat. Nauk 40:4 (1985), 121- 129).
74. Singularities of algebraic surfaces and characteristic
numbers. In: Contemp. Math. 58, I, S. 141-155, Providence: Amer. Math.
Soc. 1986.
75. Some examples of threefolds with
trivial canonical bundle. Ausarbeitung und Ergänzung
von Vorträgen von F. Hirzebruch
durch J.
Werner. MPI f?r Mathematik 1985/86. Erschienen
in den Gesammelten Abhandlungen, Bd. 2, Nr. 75.
76. Elliptic genera of level N for complex manifolds,
In: Differential Geometrical Methods in Theoretical Physics, Kluwer Academic
Publishers, Dordrecht/Boston/London 1988,
p. 37-63.
77. Codierungstheorie und ihre Beziehungen
zu Geometrie und Zahlentheorie (Ausarbeitung von N.-P. Skoruppa), Vorträge
N 370 der
Rheinisch-Westfälischen
Akademie der Wissenschaften, Westdeutscher Verlag GmbH Opladen 1989.
78. (with Th. Höfer) On the Euler number of an orbifold. Math. Ann. 286 (1990), 255-260.
79. (with P. Slodowy) Elliptic genera, involutions and homogeneous spin-manifolds, Geometriae Dedicata 35: 309-343, 1990.
80. Axiome, Definitionen, Begriffe in der Mathematik. Nova acta Leopoldina 63, Nr. 272, 61-77 (1990).
81. Centennial of the German Mathematical Society (Bremen, September 16th-22nd 1990) In: Miscellanea mathematica, Eds. P. Hilton, F. Hirzebruch, R. Remmert, Springer- Verlag, Heidelberg, 1991, 177-194.
82. Mannigfaltigkeiten und Modulformen. Jahresberichte der Deutschen Mathematiker- Vereinigung, 1992, B. G. Teubner, Stuttgart, Jubiläumstagung 1990, S. 20-38.
83. Kombinatorik in der Geometrie, Jahrbuch der Heidelberger Akademie der Wissenschaften f?r 1991, Heidelberg 1992, p. 96-98
84. (with P. Beazley Cohen) Book Review on Pierre Deligne and G. Daniel Mostow,
Commensurabilities among lattices in PU(1,n). Bulletin Amer. Math. Soc. 32 (1995), 88-105.
85. Regular polyhedra and the football, Sugaku Tsushin, Februar 1997, p. 18-40
86. German-Russian Cooperation in Mathematics, Mitteilungen der DMV, 4-1997,p. 54-58
87. Learning Complex Analysis in M?nster-Paris,
Z?rich and Princeton from 1945 to 1953; Gazette des Mathématiciens
74
(1997), p. 27-39.
