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58 labs · 2 student voices
Other departments in Faculty of Science ›Faculties at The University of Tokyo ›

Hiroki Masuda, Professor
Data Science & Statistics0 student voices
The Masuda Lab studies statistical inference for stochastic process models in the field of probability and statistics. The lab develops methods for statistical model evaluation and multivariate analysis, and builds their underlying theory. It also extends statistical inference to population dynamics and interaction dynamics, and works on implementing these methods on computers.

Chihiro Matsui, Associate Professor
0 student voices
The Matsui Lab studies mathematical physics, with a main focus on exactly solvable quantum models. When scattering in a many-particle system can be decomposed into two-body scattering, the system is called solvable, and the Yang-Baxter equation guarantees that decomposition. The lab investigates why supersymmetric field theories emerge from the higher-spin XXZ model, from the perspective of degrees of freedom specific to higher spin. The lab also works on exactly solvable stochastic processes such as the asymmetric simple exclusion process (ASEP).

Hiroki Matui, Professor
0 student voices
The Matui Lab studies, in the field of operator algebras, dynamical systems generated by homeomorphisms of compact spaces. It investigates dynamical systems through C*-algebras, which are analytic and algebraic structures. Its work includes K-theory of C*-algebras, group actions on C*-algebras, classification of minimal dynamical systems up to orbit equivalence, and analysis of topological full groups. From a perspective where analysis, algebra, and geometry intersect, the lab aims to find simple, essential structure within complex and large objects.

Atsushi Matsuo, Associate Professor
0 student voices
Matsuo Lab studies mathematical problems concerning algebraic systems called vertex operator algebras. Vertex operator algebras are algebraic systems closely related to a physical theory known as two-dimensional conformal field theory. They are also connected to a wide range of mathematical theories, including affine Lie algebras, modular functions, the Monster simple group, quantum groups, and hypergeometric functions. In recent years, the lab has been working on constructing the conformal field theory associated with a vertex operator algebra over the moduli space of Riemann surfaces and describing its properties.

Yasuhito Miyamoto, Professor
0 student voices
The Miyamoto Lab studies nonlinear partial differential equations of the types known as elliptic and parabolic. These equations are known to describe a wide range of phenomena that appear in the natural sciences and the social sciences. The lab aims to clarify basic properties of solutions, such as their existence and non-existence, as well as qualitative properties such as the number and shape of solutions and their Morse index. The lab is interested in both general methods that use functional analysis and individual methods that make use of the specific characteristics of each equation.

Todor Milanov, Professor
0 student voices
Milanov Lab studies geometry and integrable systems. The KdV equation, a model of waves travelling on shallow water, was discovered at the end of the 20th century to govern the amplitudes of string motion in vacuum. The lab works on finding KdV-like equations that characterize string amplitudes in more interesting spaces, using complex geometry and representation theory. The lab studies Gromov-Witten theory and integrable systems, period integrals, mirror symmetry, and related topics.

Taro Yoshino, Associate Professor
0 student voices
The Yoshino Lab studies deformation spaces of Clifford-Klein forms in the fields of Lie groups and geometry. These deformation spaces are often non-Hausdorff. To understand such spaces intuitively, the lab is developing a method called topological blow-up.

Junichi Shiraishi, Associate Professor
0 student voices
The Shiraishi Lab studies integrable models in the field of mathematical physics. Its specialty is two-dimensional exactly solvable lattice models, such as those associated with elliptic function solutions of the Yang-Baxter equation. Guided by algebraic structures in which elliptic (theta) functions serve as generating functions of the structure constants, the lab studies algebraic analytic methods of solution.
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