## Faculty members (alphabetic)

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z

Name | ABE, Noriyuki 【Associate Professor】 |

Field of Interest | Representation Theory |

reductive groups, modular representations |

Name | ABE, Tomoyuki 【Associate Professor】（Kavli IPMU） |

Field of Interest | Arithmetic geometry |

p-adic cohomology, arithmetic D-module, ramification theory |

Name | AIDA, Shigeki 【Professor】 |

Field of Interest | Probability theory |

Malliavin calculus, Rough paths, Stochastic differential equations, Schrödinger operators in infinite dimensional spaces, Stochastic analysis on loop spaces |

Name | ARAI, Toshiyasu 【Professor】 |

Field of Interest | Mathematical Logic |

In proof theory we are concerned with formal proofs in mathematics. I study mainly ordinal analysis. It is a field in proof theory, in which we associate ordinals with formal theories, thereby we are trying to unravel hidden structures in theories. |

Name | ASOU, Kazuhiko 【Assistant Professor】 |

Field of Interest | Mathematics Education |

e-Learning, video-on-demand, instructional design |

Name | ASUKE, Taro 【Associate Professor】 |

Field of Interest | Differential Topology |

Foliations, geometric structures, characterisic classes. |

Name | BAO, Yuanyuan 【Assistant Professor】 |

Field of Interest | Low dimensional topology, knot theory |

Heegaard Floer homology, quantum invariants, spatial graph |

Name | FURUTA, Mikio 【Professor】 |

Field of Interest | Global Analysis, Low Dimensional Topology |

4-dimensional manifold, gauge theory. |

Name | GIGA, Yoshikazu 【Professor】 |

Field of Interest | Nonlinear Analysis |

Navier-Stokes equations, calculus of variation, viscosity solutions, level set method, nonlinear parabolic partial differential equations, crystal growth. |

Name | GOCHO, Toru 【Assistant Professor】 |

Field of Interest | Differential Geometry |

Topological field theory, symplectic manifolds. |

Name | GONGYO, Yoshinori 【Associate Professor】 |

Field of Interest | Algebraic Geometry |

Classification of higher dimensional algebraic varieties |

Name | HASEGAWA, Ryu 【Associate Professor】 |

Field of Interest | Theoretical Computer Science |

Lambda calculus, type theory, category theory, proof theory. |

Name | HAYASHI, Shuhei 【Associate Professor】 |

Field of Interest | Dynamical Systems |

Hyperbolicity, homoclinic bifurcations, ergodic theory. |

Name | HIRACHI, Kengo 【Professor】 |

Field of Interest | Several Complex Variables, CR geometry |

Bergman kernel, strictly pseudoconvex domains, parabolic invariant theory. |

Name | IMAI, Naoki 【Associate Professor】 |

Field of Interest | Arithmetic Geometry |

Galois representation, moduli space |

Name | INABA, Hisashi 【Professor】 |

Field of Interest | Mathematical Population Dynamics, Mathematical Biology, Mathematical Demography |

Structured population dynamics, mathematical models for demography and epidemiology. |

Name | IRIE, Kei 【Associate Professor】 |

Field of Interest | Symplectic Floer theory and related topics |

I'm working on Floer theory in symplectic geometry. I'm also interested in various related topics, such as string topology. |

Name | ISHIGE, Kazuhiro 【Professor】 |

Field of Interest | Partial Differential Equations |

Asymptotic analysis and geometric analysis for solutions to parabolic equations |

Name | ITO, Kenichi 【Associate Professor】 |

Field of Interest | Linear Partial Differential Equations |

Spectral and scattering theory for the Schrödinger operator |

Name | ITO, Yukari 【Professor】（Kavli IPMU） |

Field of Interest | Algebraic Geometry |

Resolution of singularities and the McKay correspondence |

Name | IWAKI, Kohei 【Associate Professor】 |

Field of Interest | Ordinary differential equations, exact WKB analysis, integrable systems, topological recursion |

Exact WKB analysis of differential equations and related topics |

Name | IYAMA, Osamu 【Professor】 |

Field of Interest | Algebra, Ring theory, Representation theory |

Representation theory of orders |

Name | KANAI, Masahiko 【Professor】 |

Field of Interest | Geometry |

Geometry, especially rigidity problems for group actions and foliations. |

Name | KAPRANOV, Mikhail 【Professor】（Kavli IPMU） |

Field of Interest | Algebra, Algebraic Geometry and Category Theory |

operads, moduli spaces, secondary polytopes, algebro-geometric model spaces of paths and loops, Hall algebras, derived geometry |

Name | KASHIWABARA, Takahito 【Associate Professor】 |

Field of Interest | Numerical Analysis |

Numerical and mathematical analysis of PDEs, Navier-Stokes equations, Non-standard boundary conditions, Finite element method |

Name | KATO, Akishi 【Associate Professor】 |

Field of Interest | Mathematical Physics |

Conformal field theory, string theory, integrable systems. |

Name | KAWAHIGASHI, Yasuyuki 【Professor】 |

Field of Interest | Operator Algebras |

Von Neumann algebras, subfactors, algebraic quantum field theory. |

Name | KAWAZUMI, Nariya 【Professor】 |

Field of Interest | Differential Topology, Complex Analysis |

Moduli spaces of Riemann surfaces, mapping class groups, characteristic classes. |

Name | KIDA,Yoshikata 【Professor】 |

Field of Interest | Discrete Groups, Ergodic Theory |

Orbit equivalence relations, measured groupoids, amenability, and rigidity |

Name | KITAYAMA, Takahiro 【Associate Professor】 |

Field of Interest | Topology |

3-manifolds, discrete groups, character varieties, torsion invariants, Morse-Novikov theory |

Name | KIYONO, Kazuhiko 【Assistant Professor】 |

Field of Interest | topology |

Group action, gauge theory, Atiyah-Singer index theorem. |

Name | KOBAYASHI, Toshiyuki 【Professor】 |

Field of Interest | Lie Theory |

Representation theory, geometric analysis, discontinuous groups. |

Name | KOIKE, Yuta 【Associate Professor】 |

Field of Interest | Theoretical Statistics and Probability Theory |

Statistics for stochastic processes, and its applications to high-frequency financial data |

Name | KONNO, Hokuto 【Assistant Professor】 |

Field of Interest | Geometry and Topology |

Gauge theory and its applications to geometry and topology |

Name | MASE, Takafumi 【Assistant Professor】 |

Field of Interest | Applied Mathematics |

Integrable systems, discrete dynamical systems |

Name | MATSUI, Chihiro 【Associate Professor】 |

Field of Interest | Mathematical physics |

Quantum solvable models, Solvable stochastic processes |

Name | MATSUMOTO, Hisayoshi 【Associate Professor】 |

Field of Interest | Representation Theory |

Whittaker vectors, generalized Verma modules, unitary degenerate series. |

Name | MATSUO, Atsushi 【Associate Professor】 |

Field of Interest | Groups, Lie Algebras and Integrable Systems |

Infinite-dimensional Lie algebras, vertex operators, monstrou moonshine, conformal field theories, quantum groups |

Name | MIEDA, Yoichi 【Associate Professor】 |

Field of Interest | Number theory |

Langlands correspondence, Shimura varieties, Rapoport-Zink spaces |

Name | MILANOV, Todor 【Associate Professor】（Kavli IPMU） |

Field of Interest | Representation Theory, Algebraic Geometry |

quantum cohomology, Gromov-Witten invariants, mirror symmetry, period integrals, Kac-Moody Lie algebras, vertex algebras, integrable systems |

Name | MITAKE, Hiroyoshi 【Associate Professor】 |

Field of Interest | Partial Differential Equation |

Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics |

Name | MIYAMOTO, Yasuhito 【Associate Professor】 |

Field of Interest | Nonlinear Partial Differential Equations |

Structure of nonlinear PDEs of elliptic and parabolic type |

Name | NAKAJIMA, Hiraku 【Professor】（Kavli IPMU） |

Field of Interest | Representation Theory, Algebraic Geometry, Differential Geometry |

Gauge theory, geometric representation theory, moduli spaces |

Name | NAKAMURA, Yusuke 【Assistant Professor】 |

Field of Interest | Minimal model theory and singularities |

My research interest is the minimal model theory and singularitiesappeared in the minimal model theory.Especially, my work focuses on the ACC conjecture and the LSC conjecureon minimal log discrepancies.These conjectures are related to the conjecture of termination of flips. |

Name | OGATA, Yoshiko 【Professor】 |

Field of Interest | Mathematical Physics |

Quantum statistical physics |

Name | OGUISO, Keiji 【Professor】 |

Field of Interest | Algebraic Geometry |

Calabi-Yau manifolds in wider sense |

Name | SAITO, Norikazu 【Professor】 |

Field of Interest | Numerical Analysis, Applied Analysis |

Finite element method, finite difference method, nonlinear partial differential equation. |

Name | SAITO, Shuji 【Professor】 |

Filed of Interest | arithmetic geometry, algebraic geometry, algebraic K-thoery |

Higher dimensional class field theory, algebraic cycles, motives, motivic cohomology |

Name | SAITO, Takeshi 【Professor】 |

Filed of Interest | Arithmetic Geometry |

Étale cohomology, ramification, local fields. |

Name | SAKAI, Hidetaka 【Associate Professor】 |

Field of Interest | Special Functions, Integrable Systems, Ordinary Differential Equations |

Painlevé equations, difference equations. |

Name | SAKASAI, Takuya 【Associate Professor】 |

Field of Interest | Topology |

Mapping class groups of surfaces, characteristic classes of bundles, 3-dimensional topology |

Name | SASADA, Makiko 【Associate Professor】 |

Field of Interest | Probability Theory |

Hydrodynamic limit,Spectral gap,Equilibrium fluctuation. |

Name | SEKIGUCHI, Hideko 【Associate Professor】 |

Field of Interest | Non-Commutative Harmonic Analysis |

Semisimple Lie groups, unitary representations, Penrose transforms. |

Name | SHIHO, Atsushi 【Professor】 |

Field of Interest | Arithmetic Geometry |

Crystals, p-adic cohomology, rigid geometry. |

Name | SHIMOMURA, Akihiro 【Associate Professor】 |

Field of Interest | Analysis |

Functional analysis, Evolution equations, Functional equations |

Name | SHIRAISHI, Jun-ichi 【Associate Professor】 |

Field of Interest | Solvable Lattice Model |

Elliptic quantum groups. |

Name | TAKAGI, Shunsuke 【Professor】 |

Field of Interest | Algebraic Geometry, Commutative Algebra |

Singularities, F-singularities, Frobenius splitting, local cohomology. |

Name | TAKAYAMA, Shigeharu 【Professor】 |

Field of Interest | Complex Geometry |

Adjoint bundle, singular Hermitian metric, multiplier ideal sheaf. |

Name | TANAKA, Hiromu 【Associate Professor】 |

Field of Interest | Algebraic Geometry |

Minimal model program in positive characteristic |

Name | TERADA, Itaru 【Associate Professor】 |

Field of Interest | Algebraic Combinatorics |

Young diagrams, Robinson-Schensted correspondences, group representations. |

Name | TODA, Yukinobu 【Professor】（Kavli IPMU） |

Field of Interest | Algebraic Geometry |

Derived category of coherent sheaves, Bridgeland stability conditions, Donaldson-Thomas invariants |

Name | TOKIHIRO, Tetsuji 【Professor】 |

Field of Interest | Mathematical Physics, Applied Mathematics |

Integrable systems, solitons, cellular automata, ultradiscrete systems. |

Name | TSUJI, Takeshi 【Professor】 |

Field of Interest | Number Theory, Arithmetic Geometry |

p-adic Hodge theory, p-adic representation, log algebraic geometry. |

Name | UEDA, kazushi 【Associate Professor】 |

Field of Interest | Algebraic geometry,Symplectic geometry,Mathematical physics |

Centered around mirror symmetry, which is a mysterious relationship between complex geometry and symplectic geometry motivated by string theory. |

Name | WILLOX, Ralph 【Professor】 |

Field of Interest | Mathematical Physics, Integrable Systems |

Painlevé equations, integrable reductions, Darboux transformations, nonlinear discrete systems. |

Name | YAMAMOTO, Masahiro 【 Professor】 |

Field of Interest | Inverse Problems for Differential Equations |

Determination of coefficients, well-posedness in Tikhonov's sense, numerical computations. |

Name | YAMAZAKI, Masahito 【Associate Professor】（Kavli IPMU） |

Field of Interest | String theory, mathematical physics, integrable models |

I have been studying mathematical structures in quantum field theory and string theory by a combination of techniques from many different areas of mathematics, such as geometry, representation theory and integrable models. I am also interested in mathematical formulations of quantum field theories. |

Name | YONEDA, Tsuyoshi 【Associate Professor】 |

Field of Interest | Mathematical Fluid Dynamics |

Mathematical analysis of fluid mechanics by using the Navier-Stokes and Euler equations |

Name | YOSHIDA, Nakahiro 【Professor】 |

Field of Interest | Statistics |

Asymptotic expansion and Malliavin calculus, limit theorems for semimartingales, statistical inference for stochastic differential equations, actuarial mathematics. |

Name | YOSHINO, Taro 【Associate Professor】 |

Field of Interest | Lie theory |

Clifford-Klein form, Topological blow-up. |