Research theme for competitive and other funds (13):
2023 - 2028 Analysis of singularities of extremal Riemann surfaces and Klein surfaces in moduli spaces
2022 - 2026 Research on holomorphic mappings of Riemann surfaces --- Geometry of spaces of continuations of Riemann surfaces and applications
2018 - 2023 リーマン面の正則写像の研究--把手条件の拡張と応用
2018 - 2023 リーマン面及びクライン面のモジュライ空間における最大単射半径関数の解析
2015 - 2018 Study on the representation of Teichmuller modular groups as a group of rational transformations
2014 - 2018 Researches on holomorphic mapings of Riemann surfaces---existence of mappings and conformal invariants
2013 - 2018 極値的リーマン面とクライン面の解析
2008 - 2012 双曲正多角形を基本領域にもつリーマン面とクライン面の研究
2010 - 2012 Applications of global coordinate systems for the representation spaces of punctured surface groups
2008 - 2011 Study on Riemann surfaces and Klein surfaces with regular fundamental polygons
2003 - 2005 種数3のコンパクトリーマン面が取り得る極限円板の個数についての研究
2003 - 2004 Study on the number of extremal disks embedded in compact Riemann surfaces of genus three
Study on Automorphism Groups of Compact Riemann Surfaces
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Papers (27):
Gou Nakamura. Actions of some mapping classes on the closed Riemann surfaces of genus two. Conformal Geometry and Dynamics of the American Mathematical Society. 2024. 28. 2. 37-61
Makoto Abe, Gou Nakamura, Hiroshige Shiga. A topological characterization of the strong disk property on open Riemann surfaces. Kodai Mathematical Journal. 2019. 42. 3. 587-592
Nakanishi Toshihiro, Nakamura Gou. Parametrizations of Teichmuller spaces by trace functions (Geometric and analytic approaches to representations of a group and representation spaces). RIMS Kokyuroku. 2012. 1777. 62-74
Gou Nakamura, Noriaki Suzuki. Polynomial Solutions to Boundary-Value Problems of the Heat Equation II (collaboration). 2002. 58-62
Gou Nakamura, Noriaki Suzuki. Polynomial Solutions to Boundary-Value Problems of the Heat Equation (collaboration). 2001. 78-87
Gou Nakamura. Extremal Disks of Compact Riemann Surfaces of Genus Two. 2000. 149-156
Lectures and oral presentations (59):
The group of automorphisms of Klein surfaces with extremal metric disks
(AMS Spring Central Sectional Meeting, Special Session on Automorphisms of Riemann Surfaces and Related Topics 2024)
Complex doubles of extremal Klein surfaces of genus three
(2024)