Jan Denef

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

Jan Denef

Denef studied at the Catholic University of Leuven , where he received his doctorate in 1975 under Louis Philippe Bouckaert ( Hilbert's 10th problem ). There he was assistant to Bouckaert and Alfons Borgers . In 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 (a term 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 by James Ax and Simon Cooking .

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

Johannes Nicaise is one of his PhD students .

Fonts

• Editor with Pheidas, van Geel, Lipshitz: Hilberts tenth problem: relations with arithmetic and algebraic geometry , American Mathematical Society 2000 (conference at the University of Gent 1999)

Web links

• Homepage

Individual evidence

1. ↑ Thomas C. Hales What is motivic measure? , Bulletin AMS, Volume 42, 2005, pp. 119-135, Online , Eduard Looijenga Motivic measures , Seminaire Bourbaki, No. 874, 1999/2000, Asterisque, Volume 276, 2002, pp. 267-297, Online
2. ↑ Seminar of the ENS and the CNRS ( Memento of the original from July 20, 2011 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.