Jakob M. Stix (born in 1974) is a German mathematician. He specializes in

arithmetic algebraic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

(

étale fundamental group The étale or algebraic fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces. Topological analogue/informal discussion In algebraic topology, the fundamental group \pi_1(X,x) of ...

anabelian geometry Anabelian geometry is a theory in number theory which describes the way in which the algebraic fundamental group ''G'' of a certain arithmetic variety ''X'', or some related geometric object, can help to recover ''X''. The first results for nu ...

and other topics). Stix studied mathematics in Freiburg and Bonn and received his doctorate in 2002 from

Florian Pop Florian Pop (born 1952 in Zalău) is a Romanian mathematician, a professor of mathematics at the University of Pennsylvania. Pop received his Ph.D. in 1987 and his habilitation in 1991, both from the University of Heidelberg. He has been a memb ...

at the

University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...

(''Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-Etale Covers''). His dissertation was awarded the best doctoral thesis of the year 2002 by the Mathematical Institute of the University of Bonn. He was a post-doctoral student at the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

. In 2008, he became junior research group leader at the Mathematics Center of the

University of Heidelberg Heidelberg University, officially the Ruprecht Karl University of Heidelberg (; ), is a public university, public research university in Heidelberg, Baden-Württemberg, Germany. Founded in 1386 on instruction of Pope Urban VI, Heidelberg is List ...

, where he

habilitated Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excellen ...

in 2011 (''Evidence for the section conjecture in the theory of arithmetic fundamental groups''). Stix is now a professor at the University of Frankfurt.

Notable publications

* 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. 1371–139
Arxiv
* "On the birational section conjecture with local conditions", ''Inventiones mathematicae'', volume 199, 2015, pp. 239–265 * as publisher: ''The Arithmetic of Fundamental Groups'' : PIA 2010, Springer, 2012

References

External links

Homepage (University of Frankfurt)
{{DEFAULTSORT:Stix, Jakob Living people 1974 births 21st-century German mathematicians Academic staff of Goethe University Frankfurt Arithmetic geometers