Jakob Stix

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Jakob Stix, Oberwolfach 2018

Jakob M. Stix (* 1974 ) is a German mathematician. He deals with arithmetic algebraic geometry ( étale fundamental group , Anabel geometry and others).

In 1991, 1992 and 1993 he took part in the International Mathematical Olympiad and won two silver medals and, most recently, a gold medal.

Stix studied mathematics in Freiburg and Bonn and received his doctorate from Florian Pop at the University of Bonn in 2002 (Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-Etale Covers). His dissertation was recognized as the best doctoral thesis of 2002 by the Mathematical Institute of the University of Bonn. As a post-doctoral student , he was at the Institute for Advanced Study . In 2008 he became a junior research group leader at the Mathematics Center of Heidelberg University, where he completed his habilitation in 2011 (Evidence for the section conjecture in the theory of arithmetic fundamental groups). The subject of the habilitation was the (open) intersection assumption in the theory of arithmetic fundamental groups (étaler fundamental groups), according to which rational points on curves and other geometric objects can be described by cuts (set out in a letter from Alexander Grothendieck to Gerd Faltings ). Stix gave the first examples of this. Stix is ​​a professor at the Goethe University in Frankfurt am Main .

In 2018, together with Peter Scholze , he formulated a criticism of Shin'ichi Mochizuki's attempt to prove the abc presumption that has been available since 2012 .

Fonts (selection)

  • with Alexander Schmidt: Anabelian geometry with étale homotopy types, Annals of Mathematics, Volume 184, 2016, pp. 817–868, Arxiv
  • Rational points and arithmetic of fundamental groups: evidence for the section conjecture, Lecture Notes in mathematics 2054, Springer 2013 (habilitation thesis)
  • The Brauer-Manin obstruction for sections of the fundamental group, Journal of Pure and Applied Algebra, Volume 215, 2011, pp. 1371-1397. Arxiv (Appendix Brief Deligne to Thakur),
  • On the birational section conjecture with local conditions, Inventiones mathematicae, Volume 199, 2015, pp. 239-265.
  • as editor: The Arithmetic of Fundamental Groups: PIA 2010, Springer, 2012

Web links

Individual evidence

  1. ↑ page of the participant on imo-official.org , accessed on May 11, 2019
  2. ↑ Jakob Stix in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ Section conjecture , Ncat Lab
  4. ↑ Erica Klarreich, Titans of Mathematics Clash Over Epic Proof of ABC Conjecture , Quanta Magazine, September 20, 2018
  5. ↑ Mochizuki website with the report by Scholze and Stix and answers from Mochizuki
personal data
SURNAME Stix, Jakob
ALTERNATIVE NAMES Stix, Jakob M.
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH 1974