Department of Mathematics

As of March 2018

Research Area : Algebra


Yuji YOSHINO, Professor

Mitsuyasu HASHIMOTO, Professor

Masao ISHIKAWA, Professor

Katsumi TANAKA, Professor

Takeshi SUZUKI, Associate Professor

Yoshihiro ISHIKAWA, Assistant Professor

Research Themes:

  • Commutative Algebra, Cohen-Macaulay representation theory [Yoshino]
  • Commutative Algebra, Study of ring-theoretic properties of rings of invariants [Hashimoto]
  • Mathematical Logic, Groups of finite Morley rank [Tanaka]
  • Representation Theory, Algebraic and Enumerative Combinatorics [M. Ishikawa]
  • Representation Theory, Algebraic Lie Theory [Suzuki]
  • Number Theory, Arithmetic of Automorphic Form [Y. Ishikawa]

Representative Publication :

  • M. Hashimoto,
    F-rationality of the ring of modular invariants, J. Algebra 484 (2017), 207-223.
  • Y. Yoshino,
    Cohen-Macaulay modules over Cohen-Macaulay rings. London Mathematical Society, Lecture Notes Series vol. 146, Cambridge University Press, 1990.
  • O. Iyama and Y. Yoshino,
    Mutations in triangulated categories and rigid Cohen-Macaulay modules,  Inventiones Matematicae, vol. 172 (2008) no. 1, 117-168.
  • M. Ishikawa,
    Minor summation formula and a proof of Stanley's open problem. Ramanujan J. 16, 211-234 (2008).
  • T. Suzuki and M. Vazirani,
    Tableaux on periodic skew diagrams and irreducible representations of the degenerate double affine Hecke algebras of type A, Int. Math. Res. Not. 27 (2005), 1621-1656.
  • K. Tanaka,
    Some local properties of ω-stable groups, Archiv for Mathematical Logic, 27, 45-47 (1988).
  • Y. Ishikawa,
    Towards rationality of critical values of the standard L-functions for U(2,1), RIMS Kôkyûroku 1934, 40-51, RIMS Kyoto, (2015).

Research Area : Geometry


Kazuyoshi KIYOHARA, Professor

Takeshi TORII, Professor

Shoichi FUJIMORI, Professor

Naoyuki MONDEN, Associate Professor

Research Themes:

  • Riemannian Geometry, Integrable Geodesic Flow [Kiyohara]
  • Algebraic Topology, Stable Homotopy Theory, Generalized Cohomology [Torii]
  • Differential Geometry of Submanifolds, Surface Theory [Fujimori]
  • Low dimensional topology [Monden]

Representative Publication :

  • Jin-ichi Itoh and Kazuyoshi Kiyohara,
    The Cut Loci on Ellipsoids and Certain Liouville Manifolds, Asian J. Math. 14, No. 2 (2010), 257-290.
  • Takeshi Torii,
    Comparison of power operations in Morava E-theories, Homology Homotopy Appl. 19 (2017), no. 1, 59-87.
  • Shoichi Fujimori and Toshihiro Shoda,
    Minimal surfaces with two ends which have the least total absolute curvature, Pacific Journal of Mathematics, 282 (2016), 107-144.

Research Area : Analysis


Hiroshi KAWABI, Professor

Masaharu TANIGUCHI,  Professor

Yoshihito OSHITA,  Associate Professor

Seiichiro KUSUOKA,  Associate Professor

Harunori MONOBE,  Associate Professor

Research Themes:

  • Stochastic Analysis [Kawabi]
  • Partial Differential Equation [Taniguchi]
  • Nonlinear Partial Differential Equation [Oshita]
  • Probability Theory, Stochastic Analysis, Stochastic Differential Equation [Kusuoka]
  • Free Boudary Problem, Interface Equation [Monobe]

Representative Publication :

  • S. Ishiwata, H. Kawabi and M. Kotani,
    Long time asymptotics of non-symmetric random walks on crystal lattices, J. Funct. Anal. 272 (2017), no. 4, 1553–1624. ata, H. Kawabi and M. Kotani
  • Masaharu Taniguchi,
    An (N-1)-dimensional convex compact set gives an N-dimensional traveling front in the Allen--Cahn equation, SIAM Journal on Mathematical Analysis, Vol. 47, No. 1 (2015), pp. 455--476.
  • Jaeyoung Byeon, Ohsang Kwon and  Yoshihito Oshita,
    Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations, Commun. Pure Appl. Anal. 14 (2015), no. 3, 825-842.
  • S. Kusuoka,
    Hölder continuity and bounds for fundamental solutions to non-divergence form parabolic equations, Analysis & PDE, Vol. 8, No. 1 (2015), 1-32.
  • M. Iida, H. Monobe, H. Murakawa and H. Ninomiya,
    +Vanishing, moving and immovable interfaces in fast reaction limits, Journal of Differential Equations, 263 (2017), 2715-2735.

Research Area : Discrete Mathematics

Research Themes:

  • Geometric Discrete Invariants [Morimoto]
  • Transformation Groups on Manifolds [Morimoto]

Representative Publication :

  • M. Morimoto,
    One-fixed-point actions on spheres and Smith sets, Osaka J. Math. 53 (2016), no 4, 1003--1013.
  • M. Morimoto,
    Tangential representations of one-fixed-point actions on spheres and Smith equivalence, J. Math. Soc. Japan 67 (2015), no 1, 195--205.