As of March 2018
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
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
(URL:http://www.math.okayama-u.ac.jp/~fujimori/index.html)
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
(URL:http://www.math.okayama-u.ac.jp/~kawabi/index.html, http://www.math.okayama-u.ac.jp/~taniguchi/)
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
(URL:http://www.ems.okayama-u.ac.jp/appl/morimoto/)
Masaharu MORIMOTO, Professor
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.