Jan Denef

January Denef ( born September 4, 1951 in Mechelen) is a Belgian mathematician who deals with model theory, algebraic geometry and number theory.

Denef studied ( Hilbert's 10th problem) at the Catholic University of Louvain, where he received his doctorate in 1975 at Louis Philippe Bouckaert. He was there assistant Bouckaert and Alfons Borgers. 1978/79 he was at the Institute for Advanced Study. Later he was a professor at the Catholic University.

Denef dealt with the 10th Hilbert problem. With François Loeser he developed the theory of motivic integration (the term was introduced by Maxim Kontsevich ). In 2008 he gave a geometric proof of a conjecture by Jean -Louis Colliot - Thélène which generalizes the Ax- cooking theorem of James Ax and Simon cooking.

He was invited speaker at the International Congress of Mathematicians (ICM ) 2002 in Beijing ( motivic integration and the Grothendieck Group of pseudo- finite fields ) and at the European Congress of Mathematicians 2000, Loeser ( Geometry on arc spaces of algebraic varieties ).

His doctoral Johannes Nicaise heard.

Writings

  • Publisher with Pheidas, van Geel, Lipshitz: Hilbert's tenth problem: relations with arithmetic and algebraic geometry, American Mathematical Society 2000 ( conference at the University of Ghent, 1999)
Katholieke Universiteit Leuven Hilbert's problems Simon B. Kochen Thomas Callister Hales Integrated Authority File
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