Department of Mathematics
The Department of Mathematics, established in 1930, has approximately 40 academic staff, 150 undergraduate students (2nd–4th year), and 100 masters/doctoral graduate students. We host several international conferences with over 200 visitors every year. Our department covers a wide range of research areas — from theory-driven approaches that mainly seek to achieve theoretical sophistication to more empirically oriented approaches that employ computers for calculations on various phenomena. More specifically, our research fields include hyperplane arrangements, representation theory, differential geometry, singularity theory, partial differential equations, mathematical physics, chaos, probability theory, dynamical systems, and so on. We have published the Hokkaido Mathematical Journal since 1972 in collaboration with the Mathematics Library, which contains about 100,000 books and accepts about 350 titles of journals annually.
Our recent major achievements and participating programs are: (1) Japan Science and Technology Agency, Strategic Basic Research Programs (CREST), Research Area: Modeling Methods allied with Modern Mathematics, Project: Theory on mathematical modeling for spatio-temporal patterns arising in biology (Research Supervisor: Shin-Ichiro Ei), (2) Japan Science and Technology Agency, Strategic Basic Research Programs (CREST), Research Area: Technology for Computing Revolution for Society 5.0, Project: Optimization problems and their solutions with safe and secure quality validation based on mathematics (Research collaborator: Akira Sakai), (3) Promotion Office for Integrative Mathematics, (4)Hokkaido University Ambitious Leader’s Program, (5) Ph.Discover (A project of Graduate school of Science, Hokkaido University).
In addition to our departmental staff, several members of the Research Institute for Electronic Science contribute to our diverse educational program.
Researchers List
Mathematics
-
AKITA ToshiyukiProfessorInterplay between algebraic topology and group theoryTheme
Algebraic topology, especially group cohomoogy. Group cohomology is an intermediate subject between algebraic topology and algbara.
-
ASAKURA MasanoriProfessorArithmetic study of algebraic varietiesThemeRegulators and periods
-
FURUHATA HitoshiProfessorExploring formTheme
Geometry of Statistical Manifolds, Centroaffine Geometry of Curves and Surfaces
-
HONDA NaofumiProfessorAlgebraic AnalysisTheme
Algebraic Analysis
-
HORA AkihitoProfessorMathematics, ever in mind.ThemeInterplay of probability and representation
-
INOGUCHI Jun-ichiProfessorSecrets of ShapesTheme
Geometric Structure, Geometric study of Differential equations, Thurston Geometry, Geometric Shape Generation
-
KOBAYASHI ShimpeiProfessorA study of shapes in terms of hidden symmetriesTheme
Geometric structures and integrable systems
-
KUBO HideoProfessorRead natural phenomena by mathematicsTheme
It is quite exciting to understand universal structure through analysis of mathematical models, such as partial differential equations.
-
MASAKI SatoshiProfessorMathematical approach to understanding various nonlinear wave phenomenonTheme
Study of the nonlinear effects in the long-time behavior of solutions to nonlinear dispersive equations via harmonic analysis and variational analysis.
-
MATSUMOTO KeijiProfessorDiscovery of formulae of special functionsTheme
Study of special functions admitting integral representations by twisted (co)homology groups
-
MIYAO TadahiroProfessorUnravel the mysteries of the electron by mathematicsThemeStudy of many-electron systems by means of the operator theory and the theory of operator algebras.
-
NAMIKI TakaoProfessorUnderstanding various complex systems from the viewpoint of dynamical systemTheme
Phase transition phenomena in dynamics of cellular automata, nonlinear time series analysis on wideband ECoG recorded brain wave and classical approximation of quantum walk.
-
NUMATA YasuhideProfessorStudy of ubiquitous combinatorial structuresTheme
I study combinatorial object from the point of view of bijective combinatorics, i.e., enumerative combinatorics. In particular, I am interested in combinatorial objects appearing in theory of representation and algebra.
-
SAKAI AkiraProfessorChallenge to the mystery of interacting many-body systemsTheme
Rigorous analysis of phase transitions and critical behavior by using, e.g., the lace expansion; Evaluation of solutions to optimization problems by using the Ising model
-
YASUDA SeidaiProfessor
-
CAI YuanqingAssociate ProfessorClassifiying periodic functionsTheme
Automorphic representations on reductive groups and their covering groups
-
HAMAMUKI NaoAssociate ProfessorEvolving shapes and nonlinear partial differential equationsTheme
Study of surface evolution equations based on the theory of viscosity solutions
-
HASEBE TakahiroAssociate ProfessorProbability theory for non-commuting variablesTheme
Noncommutative probability theory
-
KASUYA NaohikoAssociate ProfessorElucidating real and complex geometry by topologyTheme
Research on contact and complex geometry from the differential topological viewpoint
-
KAWASAKI MorimichiAssociate ProfessorStudying spaces from the view of their transformation groups.Theme
Researching on (Hamiltonian) Dynamical Systems on Symplectic Manifolds from the view of Group-Theoretic and Geometric Properties of the group of Hamiltonian diffeomorphisms.
-
KOBAYASHI MasaharuAssociate ProfessorFunction spaces and operatorsTheme
Function spaces and its applications to PDE
-
KURODA HirotoshiAssociate ProfessorVariational methods for partial differential equationsTheme
Behavior of solution to total variation flow equations using convex analysis
-
MATSUSHITA DaisukeAssociate ProfessorFigure out pictures defined by equationsTheme
algebraic varieties whose Kodaira dimension is zero
-
NAKANO YushiAssociate ProfessorThe Mystery of the Edge of ChaosTheme
Ergodic theory of nonhyperbolic dynamical systems
-
Travis SCRIMSHAWAssociate ProfessorTurning fine mathematics into silly diagramsTheme
Combinatorial description of representation theory and Schubert calculus
-
SHIBUKAWA YouichiAssociate ProfessorWhat is the quantum dynamical Yang-Baxter equation? What can it produce?Theme
The quantum dynamical Yang-Baxter equation is my research area. In particular, I focus on: 1) construction of its solutions; and 2) investigation of Hopf algebroids associated with the solutions.
-
SUZUKI YuheiAssociate Professor
-
TASAKI SoheiAssociate ProfessorMulti-level mathematical sciencesTheme
Development of multi-level mathematical analysis methodology and applications to self-organization of cell communities
-
UMETA YokoAssociate ProfessorExact WKB analysisTheme
On the exact WKB analysis for Painleve hierarchies with a large parameter
-
KANDA YutakaAssistant Professor
-
IWASAKI KatsunoriSpecially Appointed ProfessorLook at differential equations from geometric points of viewTheme
Study of Painleve equations based on complex geometry and complex dynamical systems as well as the study of hypergeometric functions based on complex analysis and asymptotic analysis
-
SAITO MutsumiSpecially Appointed ProfessorCombinatorial description of algebraic properties of hypergeometric systemsTheme
Combinatorial description of algebraic properties of hypergeometric systems
