Department of Mathematics

As of April 2019

Research Area : Algebra

(URL:http://www.math.okayama-u.ac.jp/~yoshino/index.html, http://www.math.okayama-u.ac.jp/~hashimoto/hasimoto-e.html)

Yuji YOSHINO, 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

(URL:http://www.math.okayama-u.ac.jp/~fujimori/index.html)

Kazuyoshi KIYOHARA, Professor
Takeshi TORII, 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

(URL:http://www.math.okayama-u.ac.jp/~kawabi/index.htmlhttp://www.math.okayama-u.ac.jp/~taniguchi/)

Masaharu TANIGUCHI,  Professor
Yoshihito OSHITA,  Associate Professor
Takato UEHARA,  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.