Education:

B. Sc. (Mathematics), Massachusetts Institute of Technology, 1968

B. Sc. (Physics), Massachusetts Institute of Technology, 1968 Diploma of Advanced Mathematics, Oxford University, 1969

D. Phil., Oxford University, 1972 Habilitation, Universit¨at Bonn, 1975

Awards and prizes:

1965 1st prize, American Chemical Society Examination, California

1965 1st prize, McClatchy Bee Mathematics Competition, California

1966 1st prize, International Mathematical Olympiad, England1968 2nd prize, American Actuarial Society Examination

1968 Top 5, William Lowell Putnam Examination

1972 Hausdorff Memorial prize, Bonn (shared)

1983 Carus Medal of the Leopoldina Academy, Halle, GDR

1984 Carus Prize, Schweinfurt, FRG

1985 Special grant from the French Ministry of Research and Technology

1987 Frank Nelson Cole Prize in Number Theory (shared)

1988 Honorary Member, Hamburg Mathematical Society 1993 Member, Academia Europaea

1996 Prix Elie Cartan, Acad´emie des Sciences

1997 Foreign Member, Royal Netherlands Academy of Arts and Sciences

1999 Member, Leopoldina-Akademie

1999 Chauvenet Prize (Mathematical Association of America)

2001 Karl Georg Christian von Staudt-Preis (Otto und Edith Haupt-Stiftung)

2001 Member, Nordrhein-Westfa¨lische Akademie der  Wissenschaften

2017 Member, National Academy of Sciences

Positions held:

(permanent positions)

1971–1984: Wissenschaftlicher Mitarbeiter, SFB Theoretische Mathematik, Bonn University 1976– : Außerplanma¨ßiger Professor, Bonn University

1979–1990: Chair Professor of Number Theory, University of Maryland

1984–1995: Wissenschaftliches Mitglied, Max-Planck-Institut fu¨r Mathematik, Bonn 1990–1991 and 1992–1993: Professor, Kyushu University, Fukuoka, Japan 1990–2001: Professor, University of Utrecht

1995–2019 : Wissenschaftliches Mitglied und Direktor, Max-Planck-Institut fu¨r Mathematik, Bonn 2000–2014: Professeur titulaire, Coll`ege de France, Paris

2014–2020 : Distinguished staff associate, International Centre for Theoretical Physics, Trieste 2019– : Emeritiertes Wissenschaftliches Mitglied, Max-Planck-Institut fu¨r Mathematik, Bonn 2020– : Ramanujan International Chair, International Centre for Theoretical Physics, Trieste

(visiting positions)

Eidgeno¨ssische Technische Hochschule, Zu¨rich, Switzerland (1972–73) Institut des Hautes E´ tudes Scientifiques, Bures-sur-Yvette, France (1973–74)

Harvard University, Cambridge, Massachusetts, USA (fall/winter 1977–78; fall 1991) Mathematical Sciences Research Institute, Berkeley, California, USA (fall 1986)

(short visits of at least one month)

University of Leiden, Leiden, Netherlands (1976)

University of Maryland, College Park, Maryland, USA (1978) University of Pisa, Pisa, Italy (1979)

Coll`ege de France, Paris, France (1982)

University of Science and Technology, Hefei, China (1982) Kyoto University, Kyoto, Japan (1983)

Institut des Hautes E´ tudes Scientifiques, Bures-sur-Yvette, France (1985)

Steklov Institute, Moscow, USSR (1987)

Tata Institute of Fundamental Research, Bombay, India (1988) Institut d’Estudis Catalans, Barcelona, Spain (1989)

Emmy Noether Institute and Landau Institute, Tel Aviv and Jerusalem, Israel (1993) Macquarie University and Mahler lectures, Australia (1993)

University of Crete, Iraklion, Greece (1994) RIMS, Kyoto, Japan (1999)

Mathematical Sciences Research Institute, Berkeley, California (2000) POSTECH, Pohang, Korea (2012)

Newton Institute, Cambridge, England (2013) POSTECH, Pohang, Korea (2015)

IHP, Paris, France (2017)