Rchr
J-GLOBAL ID：201401087053610010
Update date: Mar. 01, 2024
Hoshi Yuichiro
ホシ ユウイチロウ | Hoshi Yuichiro
Affiliation and department：
Research field (1)：
Algebra
Research theme for competitive and other funds (9)：
- 2021 - 2024 Intrinsicity associated to anabelian objects
- 2018 - 2021 Arithmetic geometry related to the rigidity of hyperbolic algebraic curves
- 2015 - 2018 Arithmetic of hyperbolic algebraic curves related to arithmetic fundamental groups
- 2011 - 2016 New developments in number theoretic geometry, topology, and algorithm
- 2012 - 2015 Relationship between the geometric properties of hyperbolic algebraic curves and the group-theoretic properties of the arithmetic fundamental groups of curves
- 2009 - 2014 Arithmetic and Moduli Spaces around Galois-Teichmueller tower
- 2010 - 2011 Arithmetic and Combinatorial Study of Anabelian Geometry
- 2008 - 2009 Research of arithmetic fundamental groups of hyperbolic curves
- 2006 - 2008 体上の双曲的代数曲線の数論的基本群のカスプ化の研究
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Papers (49)：
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Yuichiro Hoshi, Yu Iijima. Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants. Journal of Algebra. 2023. 634. 480-511
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Yuichiro Hoshi, Shota Tsujimura. On the injectivity of the homomorphisms from the automorphism groups of fields to the outer automorphism groups of the absolute Galois groups. Research in Number Theory. 2023. 9. 2
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Yuichiro Hoshi, Arata Minamide, Shinichi Mochizuki. Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups. Kodai Mathematical Journal. 2022. 45. 3
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Yuichiro Hoshi, Yu Nishio. On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields. Research in Number Theory. 2022. 8. 3
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Shinichi Mochizuki, Ivan Fesenko, Yuichiro Hoshi, Arata Minamide, Wojciech Porowski. Explicit estimates in inter-universal Teichmüller theory. Kodai Mathematical Journal. 2022. 45. 2. 175-236
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Lectures and oral presentations (44)：
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On the Galois Orbit Version of Inter-universal Teichmüller Theory II: a Progress Report
(Inter-universal Teichmüller Theory Summit 2021 2021)
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On the Galois Orbit Version of Inter-universal Teichmüller Theory I: a Progress Report
(Inter-universal Teichmüller Theory Summit 2021 2021)
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Multiradial Representations and Log-volume Estimates
(Inter-universal Teichmüller Theory Summit 2021 2021)
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Applications to the Theory of Tempered Fundamental Groups
(Combinatorial Anabelian Geometry and Related Topics 2021)
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Synchronization of Tripods and Glueability of Combinatorial Cuspidalizations
(Combinatorial Anabelian Geometry and Related Topics 2021)
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