# Jakob Stix

German mathematician

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Mathematics

## Why Is Jakob Stix Influential?

(Suggest an Edit or Addition)According to Wikipedia, Jakob M. Stix is a German mathematician. He specializes in arithmetic algebraic geometry . Stix studied mathematics in Freiburg and Bonn and received his doctorate in 2002 from Florian Pop at the University of Bonn . 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 . Stix is now a professor at the University of Frankfurt.

## Jakob Stix's Published Works

### Published Works

- Field Arithmetic (2019) (181)
- Projective anabelian curves in positive characteristic and descent theory for log 'etale covers (2002) (49)
- On the period-index problem in light of the section conjecture (2008) (34)
- Rational Points and Arithmetic of Fundamental Groups (2013) (31)
- Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (2012) (30)
- Categories of abelian varieties over finite fields, I: Abelian varieties over p (2015) (29)
- The arithmetic of fundamental groups : PIA 2010 (2012) (29)
- A General Seifert–Van Kampen Theorem for Algebraic Fundamental Groups (2006) (23)
- Anabelian geometry with etale homotopy types (2015) (22)
- Weil-Ch\^atelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels (2013) (22)
- Descent Obstruction and Fundamental Exact Sequence (2010) (21)
- Affine Anabelian Curves in Positive Characteristic (2002) (20)
- A monodromy criterion for extending curves (2004) (19)
- Arithmetic in the fundamental group of a p-adic curve: On the p-adic section conjecture for curves (2011) (17)
- On cuspidal sections of algebraic fundamental groups (2008) (16)
- A logarithmic view towards semistable reduction (2003) (16)
- The Brauer-Manin obstruction for sections of the fundamental group (2009) (13)
- Series of $${\varvec{p}}$$p-groups with Beauville structure (2014) (11)
- On the birational section conjecture with local conditions (2012) (10)
- Trading degree for dimension in the section conjecture: The non-abelian Shapiro Lemma (2009) (9)
- Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over $ \mathbb{Q} $ (2011) (8)
- Simply transitive quaternionic lattices of rank 2 over $\mathbb{F}$ q (t) and a non-classical fake quadric (2013) (8)
- A course on finite flat group schemes and p-divisible groups (2012) (8)
- Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes (2018) (7)
- Birational p-adic Galois sections in higher dimensions (2012) (6)
- Parameterized (Modular) Counting and Cayley Graph Expanders (2021) (5)
- Galois sections for abelian varieties over number fields (2015) (4)
- Initial Field Trials for Development of RMDI, a Miniaturized UV/Visible Spectrometer Designed for Multi-gas Remote Sensing of Volcanic Plumes (2003) (3)
- Galois sections and $p$-adic period mappings (2022) (2)
- Trace Element Flux Values from the Gas Plume of Masaya Volcano, Nicaragua (2004) (2)
- Analogue Experiments Investigating Magma Degassing Under Submarine Conditions (2006) (2)
- Cubic Twin Prime Polynomials are Counted by a Modular Form (2017) (2)
- Etale contractible varieties in positive characteristic (2013) (2)
- Injectivity in the Section Conjecture (2013) (2)
- RADARSAT-1 interferometric potential for monitoring volcanic activity: the Guagna Pichincha Volcano, Ecuador (2000) (1)
- Magma differentiation and volatile evolution at Fuego Volcano, Guatemala (2009) (1)
- The Arithmetic of Fundamental Groups (2012) (1)
- On the birational section conjecture with local conditions (2014) (1)
- An obstruction to lifting to characteristic 0 (2021) (1)
- Categories of abelian varieties over finite fields II: Abelian varieties over finite fields and Morita equivalence (2021) (0)
- Fields of Cohomological Dimension 1 (2013) (0)
- Sections over Finite Fields (2013) (0)
- Synthetic Aperture Radar and the Guagua Pichincha Volcano (2000) (0)
- A G ] 1 0 N ov 2 00 4 A monodromy criterion for extending curves (2018) (0)
- The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEM (2005) (0)
- The Fundamental Groupoid (2013) (0)
- Homotopic and Geometric Galois Theory (2022) (0)
- Cuspidal Sections and Birational Analogues (2013) (0)
- Oberseminar Modular Curves and the Eisenstein Ideal Sommersemester 2010 (2010) (0)
- Lifting Galois sections along torsors (2013) (0)
- Continuous Non-abelian H1 with Profinite Coefficients (2013) (0)
- Motivic aspects of anabelian geometry – Tea – 16 : 00 – 16 : 50 (2010) (0)
- Fundamental groups of proper varieties are finitely presented (2023) (0)
- Ju n 20 02 Affine anabelian curves in positive characteristic (2008) (0)
- Reduction of Sections (2013) (0)
- On the Section Conjecture over Local Fields (2013) (0)
- Anabelian properties of the moduli spaces of smooth projective curves (2006) (0)
- Caldera Collapse at Ossipee Ring Complex (2004) (0)
- Parameterized Counting and Cayley Graph Expanders (2023) (0)
- Magma mixing during caldera forming eruptions (2006) (0)
- The Space of Sections as a Topological Space (2013) (0)
- Brauer–Manin and Descent Obstructions (2013) (0)
- Local Obstructions at a p -adic Place (2013) (0)
- Birational p-adic Galois sections in higher dimensions (2013) (0)
- Ju n 20 21 AN OBSTRUCTION TO LIFTING TO CHARACTERISTIC 0 (2021) (0)
- Basic Geometric Operations in Terms of Sections (2013) (0)
- The Iwasawa Main Conjecture for elliptic modular forms ( after Skinner and Urban ) (0)
- A G ] 1 8 M ay 2 00 3 A logarithmic view towards semistable reduction (2003) (0)
- On the Section Conjecture for Torsors (2013) (0)
- Evaluation of Units (2013) (0)
- Fragments of Non-abelian Tate–Poitou Duality (2013) (0)
- A Comparison of Historic Caldera-Forming Events (2002) (0)
- On Galois sections for hyperbolic p-adic curves (2013) (0)
- Cycle Classes in Anabelian Geometry (2013) (0)
- The behavior of sulfur, volatile species and metals in subduction zone, magmatic-hydrothermal systems: Insights from Merapi volcano, Indonesia (Invited) (2013) (0)
- The Space of Sections in the Arithmetic Case and the Section Conjecture in Covers (2013) (0)
- Convex Fujita numbers and the fundamental group (2023) (0)

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