nLab Fabien Morel

Fabien Morel is a French algebraic geometer (currently a professor at LMU Munich). His work includes the construction

• of $\mathbb{A}^1$-homotopy theory (two variants, one jointly with Vladimir Voevodsky),

• of algebraic cobordism with Marc Levine.

and the study of profinite homotopy.

• personal page

Selected writings

• Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$, Bull. Soc. Math. France 124 (1996), no. 2, 347–373.

• Quelques remarques sur la cohomologie modulo p continue des pro-p-espaces et les résultats de J. Lannes concernant les espaces fonctionnels $Hom(BV,X)$, Ann. Sci. École Norm. Sup. (4) 26 (1993), no. 3, 309–360.

On motivic homotopy theory:

• An introduction to $\mathbb{A}^1$ homotopy theory, ICTP Trieste July 2002 (directory, pdf, ps).

• (with Vladimir Voevodsky), $\mathbb{A}^1$-homotopy theory of schemes K-theory, 0305 (web pdf)

and h-cobordism:

• Aravind Asok, Fabien Morel, Smooth varieties up to $\mathbb{A}^1$-homotopy and algebraic h-cobordisms, Adv. Math. 227 (5) (2011) 1990-2058 [arXiv:0810.0324, doi:10.1016/j.aim.2011.04.009]