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{{short description|German mathematician (born 1974)}} |
{{short description|German mathematician (born 1974)}} |
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[[File:Stix jakob.jpg|thumb|Jakob Stix, Oberwolfach 2018]] |
[[File:Stix jakob.jpg|thumb|Jakob Stix, Oberwolfach 2018]] |
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'''Jakob M. Stix''' (born in 1974) is a German mathematician. He |
'''Jakob M. Stix''' (born in 1974) is a German mathematician. He specializes in [[arithmetic algebraic geometry]] ([[étale fundamental group]], [[anabelian geometry]] and other topics). |
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Stix studied mathematics in Freiburg and Bonn and received his doctorate in 2002 from [[Florian Pop]] at the [[University of Bonn]] (''Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-Etale Covers''<ref>{{MathGenealogyProject|id=64882}}</ref>). 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]]. In 2008 he became junior research group leader at the Mathematics Center of the [[University of Heidelberg]], where he habilitated in 2011 (''Evidence for the section conjecture in the theory of arithmetic fundamental groups''). Stix is now a professor at the [[Goethe University Frankfurt|University of Frankfurt]]. |
Stix studied mathematics in Freiburg and Bonn and received his doctorate in 2002 from [[Florian Pop]] at the [[University of Bonn]] (''Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-Etale Covers''<ref>{{MathGenealogyProject|id=64882}}</ref>). 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]]. In 2008, he became junior research group leader at the Mathematics Center of the [[University of Heidelberg]], where he [[Habilitation|habilitated]] in 2011 (''Evidence for the section conjecture in the theory of arithmetic fundamental groups''). Stix is now a professor at the [[Goethe University Frankfurt|University of Frankfurt]]. |
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He recently discovered and contributed to the solution<ref>{{cite arXiv|eprint=2012.14461|last1=Caporaso|first1=Lucia|last2=Harris|first2=Joe|last3=Mazur|first3=Barry|title=Corrections to "Uniformity of rational points" and further comments|year=2020|class=math.AG}}</ref> of an error in an influential 1997 paper by [[Lucia Caporaso]], [[Joe Harris (mathematician)|Joe Harris]] and [[Barry Mazur]] on the implications of the |
He recently discovered and contributed to the solution<ref>{{cite arXiv|eprint=2012.14461|last1=Caporaso|first1=Lucia|last2=Harris|first2=Joe|last3=Mazur|first3=Barry|title=Corrections to "Uniformity of rational points" and further comments|year=2020|class=math.AG}}</ref> of an error in an influential 1997 paper by [[Lucia Caporaso]], [[Joe Harris (mathematician)|Joe Harris]] and [[Barry Mazur]] on the implications of the strong [[Bombieri–Lang conjecture|Lang conjecture]] ("Uniformity of rational points". J. Amer. Math. Soc.,101-5 (1997)) |
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== Notable publications == |
== Notable publications == |
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Revision as of 04:55, 29 November 2022
Jakob M. Stix (born in 1974) is a German mathematician. He specializes in arithmetic algebraic geometry (étale fundamental group, anabelian geometry and other topics).
Stix studied mathematics in Freiburg and Bonn and received his doctorate in 2002 from Florian Pop at the University of Bonn (Projective Anabelian Curves in Positive Characteristic and Descent Theory for Log-Etale Covers[1]). 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. In 2008, he became junior research group leader at the Mathematics Center of the University of Heidelberg, where he habilitated in 2011 (Evidence for the section conjecture in the theory of arithmetic fundamental groups). Stix is now a professor at the University of Frankfurt.
He recently discovered and contributed to the solution[2] of an error in an influential 1997 paper by Lucia Caporaso, Joe Harris and Barry Mazur 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. 1371–1397 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
- ^ Jakob Stix at the Mathematics Genealogy Project
- ^ Caporaso, Lucia; Harris, Joe; Mazur, Barry (2020). "Corrections to "Uniformity of rational points" and further comments". arXiv:2012.14461 [math.AG].
External links
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