Markus Rost

Markus Rost (born March 22, 1958 in Nuremberg ) is a German mathematician who deals with algebra and topology.

Rost studied mathematics from 1977 at the Ruprecht-Karls-Universität Heidelberg and from 1978 at the Ruhr-Universität Bochum (diploma 1983). He then went to the University of Regensburg , where he obtained his doctorate under Klaus Jänich in 1988 (mapping defects in 4 manifolds) and qualified as a professor in 1995 (Chow groups with coefficients). From 2000 he was a professor at Ohio State University . Among other things, he was visiting scientist at the Max Planck Institute for Mathematics in Bonn (1992 to 1994), at the ETH Zurich (from 1995 to 1997) and at the Institute for Advanced Study , Princeton, (1999–2000 and 2004–2005) . He has been a professor at Bielefeld University since 2003 .

Rost proved an existence theorem for so-called norm varieties , which were introduced by Wladimir Wojewodski in 1996 - Vojewodski traced the Bloch-Kato conjecture back to the existence of such varieties, and Rost completed the proof of the conjectures with his existence theorem. He also introduced the rust invariant into Galois cohomology .

In 2002 he was invited speaker at the International Congress of Mathematicians (ICM) in Beijing (Norm Varieties and Algebraic Cobordism). He is a fellow of the American Mathematical Society .

Fonts

with Max-Albert Knus , Alexander Merkurjev , Jean-Pierre Tignol: The book of involutions, American Mathematical Society 1998
Norm Varieties and Algebraic Cobordism, ICM 2002, PDF file
Chow groups with coefficients. Doc. Math. 1 (1996), No. 16, 319-393
with Boileau , Zieschang : On Heegaard decompositions of torus knot exteriors and related Seifert fiber spaces. Math. Ann. 1988, 279, no. 3, 553-581.

Web links

Individual evidence

^ CV on the homepage of Bielefeld University
↑ The generalization of the Milnor conjecture (proven by Vojewodski) about a Galois cohomological description of the higher Milnor K groups of the algebraic K theory, in the case of the Milnor conjecture mod 2, in the Bloch-Kato conjecture modulo a prime number other than 2
↑ For example, treated in Garibaldi, Merkurjev, Serre Cohomological invariants in Galois Cohomology , American Mathematical Society 2003

personal data
SURNAME	Rust, Markus
BRIEF DESCRIPTION	German mathematician
DATE OF BIRTH	March 22, 1958
PLACE OF BIRTH	Nuremberg

[1] CV on the homepage of Bielefeld University

[2] The generalization of the Milnor conjecture (proven by Vojewodski) about a Galois cohomological description of the higher Milnor K groups of the algebraic K theory, in the case of the Milnor conjecture mod 2, in the Bloch-Kato conjecture modulo a prime number other than 2

[3] For example, treated in Garibaldi, Merkurjev, Serre Cohomological invariants in Galois Cohomology , American Mathematical Society 2003