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 ''π''1(''X' ...

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 restore ''X''. The first results for num ...

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

University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine ...

(''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), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

. 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, (german: Ruprecht-Karls-Universität Heidelberg; la, Universitas Ruperto Carola Heidelbergensis) is a public university, public research university in Heidelberg, B ...

, where he

habilitated Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including ...

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

University of Frankfurt University of Frankfurt may refer to: * Goethe University Frankfurt Goethe University (german: link=no, Johann Wolfgang Goethe-Universität Frankfurt am Main) is a university located in Frankfurt am Main, Germany. It was founded in 1914 as a cit ...

. He recently discovered and contributed to the solution of an error in an influential 1997 paper by

Lucia Caporaso Lucia Caporaso is an Italian mathematician, holding a professorship in mathematics at Roma Tre University. She was born in Rome, Italy, on May 22,1965. Her research includes work in algebraic geometry, arithmetic geometry, tropical geometry and e ...

, Joe Harris and

Barry Mazur Barry Charles Mazur (; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His contributions to mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in ...

on the implications of the strong Lang conjecture ("Uniformity of rational points". J. Amer. Math. Soc.,101-5 (1997))

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