{{short description|Belgian mathematician}} {{Use dmy dates|date=March 2021}} thumb|Jan Denef '''Jan Denef''' (born 4 September 1951) is a Belgian mathematician. He is an Emeritus Professor of Mathematics at the Katholieke Universiteit Leuven (KU Leuven).<ref>{{cite web|url=https://wis.kuleuven.be/algebra/members|title=Section of Algebra members at KU Leuven}}</ref>
Denef obtained his PhD from KU Leuven in 1975 with a thesis on Hilbert's tenth problem; his advisors were Louis Philippe Bouckaert and Willem Kuijk.<ref>{{MathGenealogy |id=90814}}</ref>
He is a specialist of model theory, number theory and algebraic geometry. He is well known for his early work on Hilbert's tenth problem and for developing the theory of motivic integration in a series of papers with François Loeser. He has also worked on computational number theory.
Recently he proved a conjecture of Jean-Louis Colliot-Thélène which generalizes the Ax–Kochen theorem.
In 2002 Denef was an Invited Speaker at the International Congresses of Mathematicians in Beijing. His Hirsch-index is 24.
==References== {{reflist}}
==Publications== * {{cite journal|last1=Denef|first1=Jan|last2=Loeser|first2= François| authorlink2=François Loeser|title=Motivic Igusa zeta functions| journal=Journal of Algebraic Geometry|volume= 7|year=1998|issue=3| pages=505–537|mr=1618144}} * {{cite journal|last1=Denef|first1=Jan|last2=Loeser|first2= François| authorlink2=François Loeser|title=Germs of arcs on singular algebraic varieties and motivic integration|journal= Inventiones Mathematicae |volume=135 |year=1999|issue= 1|pages= 201–232|mr=1664700|doi=10.1007/s002220050284|arxiv=math/9803039|bibcode=1999InMat.135..201D|s2cid=13374510 }}
== External links == * {{cite web|url=http://wis.kuleuven.be/algebra/denef.html|archive-url=https://web.archive.org/web/20160818072717/https://perswww.kuleuven.be/~u0009256/Denef-Mathematics/|archive-date=2016-08-18|title=Denef's home page}} * {{cite web|url=https://wis.kuleuven.be/algebra/publications/denef-jan|title=Denef's publications|website=KU Leuven}}
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{{DEFAULTSORT:Denef, Jan}} Category:1951 births Category:Living people Category:20th-century Belgian mathematicians Category:21st-century Belgian mathematicians Category:Model theorists Category:Academic staff of KU Leuven Category:KU Leuven alumni