Guide to Graduate School of Science and Technology, Shinshu University 2015

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Study mathematics with us, surrounded by Shinshu's beautiful natureYoshiakiSuetsuguStarted in 2014 / Dr. Takagi's LabHi! At present, in my seminar, I'm researching functional analysis. The research is not easy, but when I come to understand a complex theory, I feel a great sense of accomplishment, and it motivates me to go further. Faculty teachers give me excellent advice and guidance, so I am greatly encouraged, and my studying is enjoyable. I hope I can achieve beneficial results in my research in the wonderful natural environment of Shinshu. To everyone intending to join our graduate school, let's work together!DEPARTMENTOFMATHEMATICALSCIENCESDepartment of Mathematical SciencesTopology is an area of mathematics that seeks the properties of figures (or space) preserved under continuous deformations as "core" nature.In the chair of algebraic and geometric topology, we research algebraic and geometric topology, including low-level topology.There are two types of research in mathematics: one is "static research," where the researcher wrestles with his/her subject in his/her own world; the other is "dynamic research," where the researcher seeks complex answers or theories through discussion with his/her colleagues or other researchers. Here in Shinshu, we have an excellent environment for both static and dynamic research necessary in mathematics.Yasushi Taniuchi, ProfessorPartial Differential EquationsResearch on non-linear partial differential equations(esp. Navier-Stokes equations)Kentaro Wada, ProfessorRepresentation TheoryRepresentation theory related to Hecke rings, Lie rings, and quantum groups, and related combinatoricsYoshiki Otobe, Associate ProfessorStochastic Calculus / Dynamical SystemsResearch on fundamental theories and application of stochastic partial differential equations and research on infinite-dimensional analysisAkihide Hanaki, ProfessorAlgebraRepresentations of association schemes and related algebraWataru Ichinose, ProfessorPartial Differential Equation TheoriesResearch on Feynman path integralKazuaki Nakayama,Associate ProfessorMathematical Models and Methods in ScienceAnalysis of nonlinear dynamical systems related to fluid dynamicsYasuhide Numata,Senior Assistant ProfessorRepresentation Theory and Related CombinatoricsRepresentation theory and related combinatoricsXIE Bin, Associate ProfessorStochastic CalculusResearch focused on stochastic differential equations and stochastic partial differential equationsDai Tamaki, ProfessorTopology in its Broad SenseTheories of homotopy of small categories, configuration spaces, and their related subjectsYohei Tsutsui, Assistant ProfessorHarmonic Analysis, Partial Differential EquationsHarmonic analysis and its applications to PDEsKeiichi Sakai, Assistant ProfessorTopologyResearch on combinatorial aspects of representation theoryKiyonori Gomi, Associate ProfessorPartial Differential EquationsResearch on geometric objects realizing cohomology and its elementsKatsuhiko Kuribayashi, ProfessorTopologyResearch on topology by employing category theories and algebraic models of spacesItaru Sasaki, Associate ProfessorMathematical Physics and Functional AnalysisQuantum spectrum analysisHiroyuki Takagi, ProfessorMathematical Analysis(functional algebras and operator theory)Operator theory in function spaces (esp.composition operators) and preserver problems in Banach algebraFacultyYamanashi Prefectural Government, Okuwa Village Okuwa Junior High School, Tokai University Daisan Senior High School, Fujitsu Nagano Systems Engineering, NEC Engineering, Kyoriz, Shiga Prefectural Board of Education, Tochigi Prefectural Oyama Minami High School, Hitachi Solutions, Aichi Prefectural Board of Education, Sagami Women's University Junior & Senior High School, Gifu Prefectural Board of Education, Gunma Prefectural Matsuida High School, Yamagata Prefectural Government, Hyogo Prefectural Ikuno High School, Seto City Fire Department, Nagahama City Office, Toyota Communication Systems, Funai Consulting, Mitsui Life InsuranceRecentCareerPathsChair of Algebraic and Geometric TopologyWe research operators on functional spaces based on Banach algebra, establishment of Feynman path integral theory in quantum mechanics and quantum field theory, and non-linear partial differential equations such as Navier-Stokes equations describing the flow of fluids.Chair of Mathematical AnalysisWe research algebraic systems, including groups, rings, and algebra, by employing methodologies of structural theories, algebraic homology theories, and representation theories. Especially, our research focuses on representation theories of finite groups, association schemes, Lie rings, quantum groups, and Hecke rings, and combinatorics related to them.Chair of Research of Algebraic StructureIn this chair, we research mathematical structures we can find in natural or social phenomena. Here, some of the subjects of research are: mathematical physics handling phenomena in physics; dynamical systems and integrable systems that are mathematical structures derived from physics; and probability theories that can be applied in many fields such as economics. If appropriate, we proceed with the research while setting up hypotheses by use of computer simulations.Chair of Natural and Information Sciences-11SHINSHU UNIVERSITY GRADUATE SCHOOL OF SCIENCE AND TECHNOLOGY MASTER’S PROGRAM011

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