Prof. Dr. Marc Noel Levine

Profile

Academic positionFull Professor
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,Geometry, Topology
KeywordsAtiyah-Hirzebruch spectral sequence, motivic homotopy theory, K-theory, cobordism, cycle map

Current contact address

CountryGermany
CityEssen
InstitutionUniversität Duisburg-Essen
InstituteFakultät für Mathematik

Host during sponsorship

Prof. Dr. Hélène EsnaultFakultät für Mathematik, Universität Duisburg-Essen, Essen
Prof. Dr. Eckart ViehwegFakultät für Mathematik, Universität Duisburg-Essen, Essen
Prof. Dr. Ulrich RadtkeUniversität Duisburg-Essen, Essen
Prof. Dr. Ulrich RadtkeUniversität Duisburg-Essen, Duisburg
Start of initial sponsorship01/08/2002

Programme(s)

2001Wolfgang Paul Research Award Programme
2005Humboldt Research Award Programme
2009Alexander von Humboldt Professorship

Nominator's project description

Marc Levine is a world leader in the field of Algebraic Geometry. His outstanding, innovative contributions to his subject, not least his recent Theory of Algebraic Cobordism, have elicited a huge response and been recognised in numerous awards, including the Alexander von Humboldt Foundation’s Wolfgang Paul Award in 2001. Levine will become one of the directors of the proposed Institute of Algebra at Duisburg-Essen University, drawing on previous stays in Essen. Levine will thus contribute to covering a broad palette of mathematical methods which will be unique in Germany and, indeed, can only be found at very few other places in the world.

Publications (partial selection)

2007Marc Levine Fabien Morel: Algebraic Cobordism. Springer, 2007
2007Marc Levine: Background from algebraic geometry. In: Bjoern Jahren, Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002.. Springer-Universitext, 2007. 70-145
2007Marc Levine: Motivic tubular neighborhoods . In: Documenta Mathematica, 2007, 71-146
2007Marc Levine: Steenrod operations, degree formulas and algebraic cobordism. In: Pure and Applied Mathematics Quarterly Journal, 2007, 283-306
2006Marc Levine: Chow's moving lemma in A^1 homotopy theory. In: K-theory, 2006, 129-209
2005Spencer Bloch, He'l`ene Esnault, Marc Levine: Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces. . In: Americal Journal of Mathematics , 2005, 193-207
2005Marc Levine: Mixed Motives. In: E.M. Friedlander, D.R. Grayson, Handbook of K-theory, volume 1 . Springer, 2005. 429-522
2004Marc Levine: A Survey of Algebraic Cobordism. In: Algebra Colloquium, 2004, 79-90
2003Marc Levine: Fundamental classes in algebraic cobordism. In: K-Theory , 2003, 129-135