Rchr
J-GLOBAL ID：201501019350896634
Update date: Nov. 01, 2024
Komyo Arata
コウミョウ アラタ | Komyo Arata
Affiliation and department：
Job title：
Associate Professor
Research field (1)：
Algebra
Research theme for competitive and other funds (6)：
Papers (11)：
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Arata Komyo. Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities. Publications of the Research Institute for Mathematical Sciences. 2024. 60. 1. 185-269
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Arata Komyo. A nonclassical algebraic solution of a 3-variable irregular Garnier system. Funkcialaj Ekvacioj. 2024. 67. 1. 85-104
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Arata Komyo, Frank Loray, Masa-Hiko Saito. Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification. Advances in Mathematics. 2022. 410, part B. 3
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Arata Komyo. Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections. Journal of the Mathematical Society of Japan. 2022. 74. 2. 473-519
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Arata Komyo. A family of flat connections on the projective space having dihedral monodromy and algebraic Garnier solutions. Annales de la Faculté des Sciences de Toulouse. 2021. 6. 30. 479-501
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MISC (3)：
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Arata Komyo, Frank Loray, Masa-Hiko Saito, Szilárd Szabó. Canonical coordinates for moduli spaces of rank two irregular connections on curves. arXiv:2309.05012. 2023
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Geometric description of the moduli space of parabolic connections on P1 {t1, . . . , t5} and the universal family. 2015. 2015. 169-169
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KOMYO Arata. On compactifications of character varieties and a conjecture of Simpson. 射影多様体の幾何とその周辺2012報告集. 2012
Lectures and oral presentations (31)：
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Compactification of moduli spaces of connections and Okamoto--Painlevé pairs
(Moduli spaces of connections, Higgs Bundles and Riemann-Hilbert correspondences 2024)
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Canonical coordinates for moduli spaces of rank two irregular connections on curves
(2024)
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A nonclassical algebraic solution of a 3-variable irregular Garnier system
(The 3rd Shot of The 13th MSJ-SI "Differential Geometry and Integrable Systems" (Short Communications) 2023)
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Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
(Algebraic Geometry Symposium in Kinosaki 2022 2022)
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Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
(Web-seminar on Painlevé Equations and related topics 2022)
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Education (1)：
- - 2015 神戸大学 大学院理学研究科博士課程後期課程修了
Professional career (2)：
- 修士(理学) (神戸大学)
- 博士(理学) (神戸大学)
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
