Markus Rost's Web Page

[Triality (designed by Herbert Rost)]

Willkommen auf der Homepage von Markus Rost

Professor für Mathematik (i.R.) an der Universität Bielefeld

Curriculum Vitae (PDF-Version)

Adressen

Prof. i.R. Dr. Markus Rost (Fakultätsseite)

Papers etc.

Main page: Publications, preprints, slides and abstracts, theses of students
Recent Preprints
- Associahedron and associator identities
  - The associahedral chain complex and the cubical associahedron (August/October 2025)
  - Associahedron images
  - Notes on free alternative algebras (June 2024)
  - Notes on associator identities (May 2024)
  - Notes on the associator (April 2024/August 2025)
- Root systems
  - Notes on root systems (October 2024)
  - Notes on root systems (two roots) (September 2024)
- Quadratic forms
  - Between quadratic and symmetric bilinear forms (September 2022)
- Hopf algebras
  - On a cubic identity for involutive Hopf algebras (July 2022)
- Euclidean geometry
  - A formula for the Euler-Poncelet point (September 2019)
  - On the orthocenter (August 2019)
- Exterior algebra, Schur modules
  - Notes on Schur functors (February 2019)
  - Notes on strict bicommutative Hopf algebras (February 2019)
  - On the adjunct of an endomorphism (February 2017)
- Discriminants and Resultants
  - On the discriminant of binary forms (November 2018)
  - On the resultant of three ternary quadratic forms (November 2018)
  - On the discriminant of cubic polynomials (August 2018)
- Galois cohomology
  - Cohomological invariants (mod 2) for twisted C₄ (January 2017)
Selected Texts
- Preprints
  - On the basic correspondence of a splitting variety (Notes, September-November 2006)
- Articles
  - La forme trace d'une algèbre simple centrale de degré 4, with J-P. Serre and J.-P. Tignol, C. R. Acad. Sci. Paris, Ser. I 340 (2005)
  - Norm Varieties and Algebraic Cobordism, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 77-85
  - Chow Groups with Coefficients, Doc. Math. 1 (1996), 319-393
  - On the Dimension of a Composition Algebra, Doc. Math. 1 (1996), 209-214
  - A (mod 3) invariant for exceptional Jordan algebras, C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 12, 823-827
  - Durch Normengruppen definierte birationale Invarianten, C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 4, 189-192
  - Meridional generators and plat presentations of torus links, with H. Zieschang, J. London Math. Soc. (2) 35 (1987), no. 3, 551-562
- Books
  - The Book of Involutions, with M.-A. Knus, A. S. Merkurjev, and J.-P. Tignol, AMS Colloquium Publications (1998)

Conferences and Lectures

Main page: Conferences and Lectures - some past and future conferences including many of my own talks
Selected Lectures
- Vorträge von Jean-Pierre Serre, 11. und 13. Februar 2008 im Seminar AG Algebraische Gruppen, Bielefeld
- Norm Varieties Seminar (page 2), Institute for Advanced Study, 2004-2005
  - Snapshot of one my talks (used on some Wikipedia pages for Pierre Deligne)

Math Graphics

By my father:

Triality - For the Cover of the The Book of Involutions
VV Poster - For Voevodsky's 2001 Zassenhaus Lectures
Halbeiflächen, endlich verbogen! - Zum Geburtstag von Prof. Dr. Karl Peter Grotemeyer 2004
Weyl Posters - For the Hermann Weyl Conference, Bielefeld, September 2006
Quadratwurzelbaum - For my 50th Birthday 2008
Weihnachtskarte 2008 - Not really a math poster…
Zink Poster - For the Conference on Arithmetic Algebraic Geometry on the occasion of Thomas Zink's 60th birthday, Bielefeld, June 2009

By myself:

Knots - METAFONT experiments 1995

Fakultät für Mathematik Universität Bielefeld