Fabien Morel (born 22 January 1965, in

Reims Reims ( ; ; also spelled Rheims in English) is the most populous city in the French Departments of France, department of Marne (department), Marne, and the List of communes in France with over 20,000 inhabitants, 12th most populous city in Fran ...

) is a French algebraic geometer and key developer of A¹ homotopy theory with

Vladimir Voevodsky Vladimir Alexandrovich Voevodsky (, ; 4 June 1966 – 30 September 2017) was a Russian-American mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal ...

. Among his accomplishments is the proof of the Friedlander conjecture, and the proof of the complex case of the Milnor conjecture stated in Milnor's 1983 paper 'On the homology of

Lie group In mathematics, a Lie group (pronounced ) is a group (mathematics), group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Eucli ...

s made discrete'. This result was presented at the Second Abel Conference, held in January–February 2012. In 2006, he was an invited speaker with a talk on ''A¹-algebraic topology'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

Madrid Madrid ( ; ) is the capital and List of largest cities in Spain, most populous municipality of Spain. It has almost 3.5 million inhabitants and a Madrid metropolitan area, metropolitan area population of approximately 7 million. It i ...

Selected publications

''A¹-algebraic topology over a field.''
(= Lecture Notes in Mathematics. 2052). Springer, 2012, . * with Marc Levine
''Algebraic Cobordism.''
Springer, 2007, .
''Homotopy theory of Schemes.''
American Mathematical Society, 2006 (French original published by

Société Mathématique de France Groupe Lactalis S.A. (doing business as Lactalis) is a French multinational dairy products corporation, owned by the Besnier family and based in Laval, Mayenne, France. The company's former name was Besnier S.A. Lactalis is the largest dairy pr ...

1999)

References

1965 births Living people Scientists from Reims 20th-century French mathematicians 21st-century French mathematicians Algebraic geometers {{France-mathematician-stub