Research field (3)：
Mathematical analysis
, Geometry
, Algebra
Research keywords (13)：
Mordell-Weil Lattice
, Isomonodoromic Deformation of Linear Connections
, Riemann -Hilbert correspondence
, Moduli space of singular parabolic connections
, Moduli Theory
, Elliptic Surfaces
, MIrror Symmetry
, Painleve Equations
, Torelli Problem
, Period Mapping and Hodge Theory
, Complex Manifold Theroy
, Integrable Systems
, Algebraic Geometry
Research theme for competitive and other funds (15)：
2022 - 2027 Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
2022 - 2025 Geometry of Moduli spaces of Connections and Higgs fields and their Applications
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. 108750-108750
Indranil Biswas, Michi-aki Inaba, Arata Komyo, Masa-Hiko Saito. On the moduli spaces of framed logarithmic connections on a Riemann surface. Comptes Rendus. Mathématique. 2021. 359. 5. 617-624
Arata Komyo, Masa-Hiko Saito. Explicit description of jumping phenomena on moduli spaces of parabolic connections and Hilbert schemes of points on surfaces. Kyoto Journal of Mathematics. 2019. 59. 3. 515-552
Michi-aki Inaba, Masa-Hiko SAITO. Moduli of regular singular parabolic connections with given spectral type on smooth projective curves. J. Math. Soc. Japan. 2018. 70. 3. 879-894
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
Springer International Publishing 2020
Development of Moduli Theory - Kyoto 2013, Proceedings of The 6th MSJ-SI (Advanced Studies in Pure Mathematics, 69)
Mathematical Soc of Japan 2016
New developments in algebraic geometry, integrable systems and mirror symmetry (RIMS, Kyoto, 2008) (Advanced Studies in Pure Mathematics, 59)
Mathematical Society of Japan 2010 ISBN:9784931469624
My 40 Years with Algebraic Geometry and Integrable Systems --Memories and corrections--
(Algebraic Geometry and Integrable Systems 2022 2022)
Kobe University Data Science Report
(2020)
モジュライ理論と可積分系
(2019)
Apparent singularities of connections and Higgs bundles on a curveand canonical coordinates of their moduli spaces.(A joint work with S. Szabo)
(Mini Workshop on Geometry of Moduli Spaces 2019)
Moduli spaces of parabolic Higgs bundles and parabolic connections on curves and integrable systems
(Geometry and Integrable Systems A Franco-Japanese conference 2019)
