1973 Diplom in Mathematics and Physics, University Freiburg i.Br.
1973-1977 PhD in Mathematics, Universität Freiburg i.Br.
1978-1984 Assistent resp. Oberassistent, Bergische Universität-GHS Wuppertal
2003-2008 Director of the Zurich Graduate School in Mathematics, ETH Zurich-University Zurich
Selected Publications:
Zero estimates on group varieties I, Invent. Math. 64 (1981), 489-516. (jointly with D. W. Masser)
Über das abelsche Analogon des Lindemannschen Satzes I, Invent. Math. 72 (1983), 363-388.
Fields of large transcendence degree generated by values of elliptic functions, Invent. Math. 72 (1983), 407-464. (jointly with D. W. Masser)
Zum Periodenproblem, Invent. Math. 78 (1984), 381-391.
Zero estimates on group varieties II, Invent. Math. 80 (1985), 233-267. (jointly with D. W. Masser)
Algebraic Groups, Hodge Theory and Transcendence, Proceedings ICM (1987), 476-484.
Multiplicity Estimates on Group Varieties, Annals of Math. 129 (1989), 471-500.
Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen, Annals of Math. 129 (1989), 501-517.
Estimating Isogenies on Elliptic Curves, Invent. Math. 100 (1990), 1-24 (jointly with D. W. Masser)
Periods and minimal abelian subvarieties, Annals of Math. 137 (1993), 407-458 (jointly with D. W. Masser)
Isogeny estimates for abelian varieties and finiteness theorems, Annals of Math. 137 (1993), 459-472 (jointly with D. W. Masser)
Logarithmic forms and group varieties, J. reine angew. Math. 442 (1993), 19-62 (jointly with A. Baker)
Diophantine Approximations on Projective Spaces, Invent. math. 116 (1994), 109-138 (jointly with G. Faltings)
Factorization estimates for abelian varieties, Publ. Math. IHES 81 (1995), 5-24 (jointly with D. W. Masser)
Application of the Andre-Oort Conjecture to some questions in transcendence, A Panorama in Number Theory, Cambridge University Press (2002) (jointly with P. Cohen)
A Panorama in Number Theory (editor) Cambridge University Press (2002).
Logaritmic forms and Diophantine Geometry, Cambridge University Press (2007) (jointly with A. Baker)
An effective Shafarevich Theorem, Acta Arith. 148 (2011), 189-203 (jointly with C. Fuchs, R. von Känel)
Leibniz' conjecture, periods & motives, Colloquium De Giorgi 2009 (Edizioni della Normale; 2012 edition (May 28, 2012)) , Birkhäuser Verlag (2012).
Polarization estimates for abelian varieties, to appear in ANT (jointly with D. W. Masser)
A note on the conjectures of Andre-Oort and Pink, to appear in the Bulletin of the Institute of Mathematics Academia Sinica (New Series)
Honors:
Honorary Advisory Professor, Tonji-University, Shanghai (1999)
Elected Member Nationale Akademie der Wissenschaften Leopoldina (2000)
Elected Member Berlin-Brandenburgische Akademie der Wissenschaften (2002)
Chairman for Pure Mathematics Nationale Akademie der Wissenschaften Leopoldina (2006)
Vice Senator for Mathematics Nationale Akademie der Wissenschaften Leopoldina (2006)
Elected Member Academia Europaea (2008)
Senator for Mathematics Nationale Akademie der Wissenschaften Leopoldina (2011)
Chairman of the section Mathematics Academia Europaea (2011)
Special Invited Talks:
Journees Arithmetiques, Nordwijkerhout (1983), Geneve (1993), Barcelona (1995)
ICM Berkeley (1986)
DMV Jahrestagung, Berlin (1987)
Mordell Lecture, Cambridge (1992)
Arbeitstagung Bonn (1983, 1986, 1988, 1991, 1992, 1993, 1994)
Kuwait Foundation Lecture 13, Cambridge (2001)
Annual meeting of the Hong-Kong Math. Soc.(2006)
Leonhard Euler Festival, St. Petersburg (2007)
Akademie-Vorlesung, Berlin-Brandenburgische Akademie der Wissenschaften, Berlin (2008)
Colloquium de Giorgi, Pisa (2009)