Gerard van der Geer

The title of this article is ambiguous. For the Swedish geologist, see Gerard Jakob De Geer .

Gerard van der Geer (born August 27, 1950 in Voorhout ) is a Dutch mathematician who deals with algebraic geometry .

Gerard van der Geer, Oberwolfach 2005

Live and act

Gerard van der Geer studied at the University of Leiden , where he also received his doctorate in 1977 under Antonius van de Ven (and Don Zagier ) ( On Hilbert Modular Surfaces of principal congruent subgroups ). Then he was in Bonn at the Max Planck Institute for Mathematics until 1978 and later in the Netherlands at the University of Utrecht and the Technical University of Eindhoven . He is currently Professor of Algebra at the Korteweg-de-Vries Institute at the University of Amsterdam .

Van der Geer dealt with the module spaces of algebraic curves and Abelian varieties (Hilbert module areas) and curves over finite fields as well as their applications in coding theory.

His PhD students include Carel Faber and Bert van Geemen.

Fonts

• with Friedrich Hirzebruch : Lectures on Hilbert Modular Surfaces. Les Presses de l'Université de Montréal, Montreal 1981, ISBN 2-7606-0562-0 .
• Hilbert Modular Surfaces (= results of mathematics and its border areas . Volume 3, Vol. 16). Springer, Berlin et al. 1988, ISBN 3-540-17601-2 .
• with Jacobus H. van Lint : Introduction to coding theory and algebraic geometry (= DMV seminar. 12). Birkhäuser, Basel et al. 1988, ISBN 3-7643-2230-6 .
• as editor with Frans Oort , Joseph Steenbrink : Arithmetic Algebraic Geometry (= Progress in Mathematics. 89). Birkhäuser, Boston MA et al. 1991, ISBN 0-8176-3513-0 .
• as editor with Robbert Dijkgraaf , Carel Faber: The Moduli Space of Curves (= Progress in Mathematics. 129). Birkhäuser, Boston MA et al. 1995, ISBN 0-8176-3784-2 .
• Error correcting codes and curves over finite fields. In: Björn Engquist , Wilfried Schmid (Eds.): Mathematics unlimited - 2001 and beyond. Springer, Berlin et al. 2000, ISBN 3-540-66913-2 , pp. 1115-1138, doi : 10.1007 / 978-3-642-56478-9_58 .
• with Jan Hendrik Bruinier , Don Zagier , Günter Harder : The 1-2-3 of Modular Forms. Lectures at a Summer School in Nordfjordeid, Norway. Springer, Berlin et al. 2009, ISBN 978-3-540-74117-6 .
  • Pp. 181-245: Siegel Modular Forms and Their Applications. doi : 10.1007 / 978-3-540-74119-0_3 .
• as editor with René Schoof , Ben Moonen: Number fields and function fields. Two parallel worlds (= Progress in Mathematics. 239). Birkhäuser, Boston MA et al. 2005, ISBN 0-8176-4397-4 .

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