Markus Rost is a German mathematician who works at the intersection of topology and algebra. He was an invited speaker at the International Congress of Mathematicians in 2002 in Beijing, China. He is a professor at the University of Bielefeld.
He is known for his work on norm varieties (a key part in the proof of the Bloch–Kato conjecture) and for the Rost invariant (a cohomological invariant with values in Galois cohomology of degree 3). Together with J.-P. Serre he is one of the cofounders of the theory of cohomological invariants of linear algebraic groups. He has also made numerous contributions to the theory of torsors, quadratic forms, central simple algebras, Jordan algebras (the Rost-Serre invariant), exceptional groups, and essential dimension. Most of his results are available only on his webpage.
- List of Fellows of the American Mathematical Society, retrieved 7 July 2013.
- Skip Garibaldi; Alexander Merkurjev; Jean-Pierre Serre (2003). Cohomological invariants in Galois cohomology. American Mathematical Society. ISBN 0-8218-3287-5.
- Alexander Merkurjev (1995). "K-theory of simple algebras". K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras. Proceedings of Symposia in Pure Mathematics. 58. American Mathematical Society. pp. 65–83.