Hiroshige Shiga
Professor
Department of Mathematics
Tokyo Institute of Technology
Japan
Biography
Dr.Hiroshige Shiga, is a Professor of Mathematics at Tokyo Institute of Technology.　 His research themes are Study of Teichmuller spaces and Riemann surfaces, Study of complex dynamics and Study of the rigidity of holomorphic mappings on complex manifolds. He had received his PhD from Division of Natural Science, Kyoto Sangyo University Graduate School (1982),and Graduated from Kyoto University Faculty of Science Graduated(1977).
Research Interest
His research is mainly concerned with two fields of mathematics. One is a discrete group, and the other is a complex analysis, in particular the Thiheimer's space on the Riemann side, a pseudo-conformal mapping. In addition, he is doing research from various viewpoints of low dimensional geometry and topology related to 3D hyperbolic manifolds. Research on the Riemann aspect also plays an important role in the study of complex dynamical systems, and the interest in this area is also exhausted.
Publications
-
Shiga, H. (2016). Conformal invariants defined by harmonic functions on Riemann surfaces. Journal of the Mathematical Society of Japan, 68(1), 441-458.
-
Liu, L., Shiga, H., Su, W., & Zhong, Y. (2017). Almost-isometry between the Teichmüller metric and the length-spectrum metric on reduced moduli space for surfaces with boundary. Transactions of the American Mathematical Society, 369(9), 6429-6464.
-
Shiga, H., & Tanigawa, H. (1999). Projective structures with discrete holonomy representations. Transactions of the American Mathematical Society, 351(2), 813-823.
