{"id":399,"date":"2018-03-29T14:32:32","date_gmt":"2018-03-29T05:32:32","guid":{"rendered":"http:\/\/www.naigai-web.jp\/okadai_science\/?page_id=22"},"modified":"2019-05-17T16:54:29","modified_gmt":"2019-05-17T07:54:29","slug":"department-of-mathematics","status":"publish","type":"page","link":"https:\/\/www.science.okayama-u.ac.jp\/en\/research\/research-summary\/department-of-mathematics\/","title":{"rendered":"Department of Mathematics"},"content":{"rendered":"<div id=\"mathematics\">\n<p class=\"date\">As of April 2019<\/p>\n<!-- start -->\n<div class=\"research-area\">\n<h2>Research Area : Algebra<\/h2>\n<div class=\"box clfx\">\n<div class=\"text\">\n<div class=\"professor\">\n<p class=\"url\">(URL:<a href=\"http:\/\/www.math.okayama-u.ac.jp\/~yoshino\/index.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.math.okayama-u.ac.jp\/~yoshino\/index.html<\/a>, <a href=\"http:\/\/www.math.okayama-u.ac.jp\/~hashimoto\/hasimoto-e.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.math.okayama-u.ac.jp\/~hashimoto\/hasimoto-e.html<\/a>)<\/p>\n\n<h6>Yuji YOSHINO, Professor<\/h6>\n<h6>Masao ISHIKAWA, Professor<\/h6>\n<h6>Katsumi TANAKA, Professor<\/h6>\n<h6>Takeshi SUZUKI, Associate Professor<\/h6>\n<h6>Yoshihiro ISHIKAWA, Assistant Professor<\/h6>\n<\/div>\n<div class=\"thema\">\n<h3>Research Themes:<\/h3>\n<ul>\n \t<li>Commutative Algebra, Cohen-Macaulay representation theory [Yoshino]<\/li>\n \t<li>Commutative Algebra, Study of ring-theoretic properties of rings of invariants [Hashimoto]<\/li>\n \t<li>Mathematical Logic, Groups of finite Morley rank [Tanaka]<\/li>\n \t<li>Representation Theory, Algebraic and Enumerative Combinatorics [M. Ishikawa]<\/li>\n \t<li>Representation Theory, Algebraic Lie Theory [Suzuki]<\/li>\n \t<li>Number Theory, Arithmetic of Automorphic Form [Y. Ishikawa]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"publication\">\n<h3>Representative Publication :<\/h3>\n<ul>\n \t<li>M. Hashimoto,\n<i>F<\/i>-rationality of the ring of modular invariants, J. Algebra 484 (2017), 207\u2014223.<\/li>\n \t<li>Y. Yoshino,\nCohen-Macaulay modules over Cohen-Macaulay rings. London Mathematical Society, Lecture Notes Series vol. 146, Cambridge University Press, 1990.<\/li>\n \t<li>O. Iyama and Y. Yoshino,\nMutations in triangulated categories and rigid Cohen-Macaulay modules, &nbsp;Inventiones Matematicae, vol. 172 (2008) no. 1, 117\u2013168.<\/li>\n \t<li>M. Ishikawa,\nMinor summation formula and a proof of Stanley's open problem. Ramanujan J.  16, 211-234 (2008).<\/li>\n \t<li>T. Suzuki and M. Vazirani,\nTableaux 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.<\/li>\n \t<li>K. Tanaka,\nSome local properties of \u03c9-stable groups, Archiv for Mathematical Logic, 27, 45\u201447 (1988).<\/li>\n \t<li>Y. Ishikawa,\nTowards rationality of critical values of the standard L-functions for <i>U(2,1)<\/i>, RIMS K\u00f4ky\u00fbroku 1934, 40-51, RIMS Kyoto, (2015).<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<!-- end -->\n\n<!-- start -->\n<div class=\"research-area\">\n<h2>Research Area : Geometry<\/h2>\n<div class=\"box clfx\">\n<div class=\"text\">\n<div class=\"professor\">\n<p class=\"url\"><a href=\"http:\/\/www.math.okayama-u.ac.jp\/~fujimori\/index.html\" target=\"_blank\" rel=\"noopener noreferrer\">(URL:http:\/\/www.math.okayama-u.ac.jp\/~fujimori\/index.html)<\/a><\/p>\n\n<h6>Kazuyoshi KIYOHARA,  Professor<\/h6>\n<h6>Takeshi TORII,  Professor<\/h6>\n<h6>Naoyuki MONDEN, Associate Professor<\/h6>\n<\/div>\n<div class=\"thema\">\n<h3>Research Themes:<\/h3>\n<ul>\n \t<li>Riemannian Geometry, Integrable Geodesic Flow [Kiyohara]<\/li>\n \t<li>Algebraic Topology, Stable Homotopy Theory, Generalized Cohomology [Torii]<\/li>\n \t<li>Differential Geometry of Submanifolds, Surface Theory [Fujimori]<\/li>\n \t<li>Low dimensional topology [Monden]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"publication\">\n<h3>Representative Publication :<\/h3>\n<ul>\n \t<li>Jin-ichi Itoh and Kazuyoshi Kiyohara,\nThe Cut Loci on Ellipsoids and Certain Liouville Manifolds, Asian J. Math. 14, No. 2 (2010), 257--290.<\/li>\n \t<li>Takeshi Torii,\nComparison of power operations in Morava E-theories, Homology Homotopy Appl. 19 (2017), no. 1, 59--87.<\/li>\n \t<li>Shoichi Fujimori and Toshihiro Shoda,\nMinimal surfaces with two ends which have the least total absolute curvature, Pacific Journal of Mathematics, 282 (2016), 107--144.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<!-- end -->\n\n<!-- start -->\n<div class=\"research-area\">\n<h2>Research Area : Analysis<\/h2>\n<div class=\"box clfx\">\n<div class=\"text\">\n<div class=\"professor\">\n<p class=\"url\">(URL:<a href=\"http:\/\/www.math.okayama-u.ac.jp\/~kawabi\/index.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.math.okayama-u.ac.jp\/~kawabi\/index.html<\/a>,&nbsp;<a href=\"http:\/\/www.math.okayama-u.ac.jp\/~taniguch\/\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.math.okayama-u.ac.jp\/~taniguchi\/<\/a>)<\/p>\n\n<h6>Masaharu TANIGUCHI, &nbsp;Professor<\/h6>\n<h6>Yoshihito OSHITA, &nbsp;Associate Professor<\/h6>\n<h6>Takato UEHARA, &nbsp;Associate Professor<\/h6>\n<h6>Harunori MONOBE, &nbsp;Associate Professor<\/h6>\n<\/div>\n<div class=\"thema\">\n<h3>Research Themes:<\/h3>\n<ul>\n \t<li>Stochastic Analysis [Kawabi]<\/li>\n \t<li>Partial Differential Equation [Taniguchi]<\/li>\n \t<li>Nonlinear Partial Differential Equation [Oshita]<\/li>\n \t<li>Probability Theory, Stochastic Analysis, Stochastic Differential Equation [Kusuoka]<\/li>\n \t<li>Free Boudary Problem, Interface Equation [Monobe]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"publication\">\n<h3>Representative Publication :<\/h3>\n<ul>\n \t<li>S. Ishiwata, H. Kawabi and M. Kotani,\nLong time asymptotics of non-symmetric random walks on crystal lattices, J. Funct. Anal. 272 (2017), no. 4, 1553\u20131624. ata, H. Kawabi and M. Kotani<\/li>\n \t<li>Masaharu Taniguchi,\nAn (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.<\/li>\n \t<li>Jaeyoung Byeon, Ohsang Kwon and &nbsp;Yoshihito Oshita,\nStanding wave concentrating on compact manifolds for nonlinear Schr\u00f6dinger equations, Commun. Pure Appl. Anal. 14 (2015), no. 3, 825-842.<\/li>\n \t<li>S. Kusuoka,&nbsp;\nH\u00f6lder continuity and bounds for fundamental solutions to non-divergence form parabolic equations, Analysis &amp; PDE, Vol. 8, No. 1 (2015), 1-32.<\/li>\n \t<li>M. Iida, H. Monobe, H. Murakawa and H. Ninomiya,\nVanishing, moving and immovable interfaces in fast reaction limits, Journal of Differential Equations, 263 (2017), 2715-2735.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<!-- end -->\n\n<!-- start -->\n<!--\n<div class=\"research-area\">\n<h2>Research Area : Discrete Mathematics<\/h2>\n<div class=\"box clfx\">\n<div class=\"text\">\n<div class=\"professor\">\n<p class=\"url\"><a href=\"http:\/\/www.ems.okayama-u.ac.jp\/appl\/morimoto\/\" target=\"_blank\" rel=\"noopener noreferrer\">(URL: URL: http:\/\/www.ems.okayama-u.ac.jp\/appl\/morimoto\/)<\/a><\/p>\n\n<h6>Masaharu MORIMOTO,  Professor<\/h6>\n<\/div>\n<div class=\"thema\">\n<h3>Research Themes:<\/h3>\n<ul>\n \t<li>Geometric Discrete Invariants [Morimoto]<\/li>\n \t<li>Transformation Groups on Manifolds [Morimoto]<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"publication\">\n<h3>Representative Publication :<\/h3>\n<ul>\n \t<li>M. Morimoto,\nOne-fixed-point actions on spheres and Smith sets, Osaka J. Math. 53 (2016), no 4, 1003--1013.<\/li>\n \t<li>M. Morimoto,\nTangential representations of one-fixed-point actions on spheres and Smith equivalence, J. Math. Soc. Japan 67 (2015), no 1, 195--205.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n-->\n<!-- end -->\n\n<\/div>","protected":false},"excerpt":{"rendered":"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...","protected":false},"author":1,"featured_media":0,"parent":394,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"2column2.php","meta":{"footnotes":""},"class_list":["post-399","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/399","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/comments?post=399"}],"version-history":[{"count":12,"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/399\/revisions"}],"predecessor-version":[{"id":618,"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/399\/revisions\/618"}],"up":[{"embeddable":true,"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/pages\/394"}],"wp:attachment":[{"href":"https:\/\/www.science.okayama-u.ac.jp\/en\/wp-json\/wp\/v2\/media?parent=399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}