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287 labs · 116 student voices
Faculties at The University of Tokyo ›
Shigeki Aida, Professor
Data Science & Statistics0 student voices
Aida Lab studies probability theory from the perspective of infinite-dimensional analysis. The lab has investigated operators on loop spaces and Hamiltonians that arise in quantum field theory, examining properties such as their spectra and semiclassical limits. Rough path analysis, as well as differential equations driven by rough paths and the approximation of solutions to stochastic differential equations, is also among its research subjects.
Taro Asuke, Associate Professor
0 student voices
The Asuke Lab studies pseudogroups and pseudo-semigroups formed by holomorphic local diffeomorphisms, in the field of differential topology. The lab focuses on their invariants and their properties as dynamical systems.
Tomoyuki Abe, Professor
0 student voices
The Abe Lab studies arithmetic geometry, in particular p-adic cohomology. Arithmetic geometry is a field that uses the methods of geometry to study number-theoretic equations and, more generally, arithmetic varieties. The lab is interested in the relationships among several cohomology theories, such as étale cohomology, that extract topological information from equations. The lab is also interested in bringing into number theory the intuition behind the relationship between geometric Langlands and S-duality, which physicists have pointed out.
Noriyuki Abe, Professor
0 student voices
Prof. Noriyuki Abe's lab studies representation theory. At its core are representations of reductive algebraic groups and of the groups of their rational points. The lab also studies representations of algebraic structures associated with these groups, such as Lie algebras and Hecke algebras.
Yuichi Ike, Associate Professor
Data Science & Statistics0 student voices
The Ike Lab studies microlocal sheaf theory and topological data analysis, in particular persistent homology. The lab applies microlocal sheaf theory to topology and symplectic geometry, and its recent interest is in using sheaves to handle singular objects. Topological data analysis is a set of methods that use tools such as persistent homology to investigate the topology of data.
Kazuhiro Ishige, Professor
0 student voices
The Ishige Lab studies the properties of solutions to parabolic equations in the field of partial differential equations. Through asymptotic analysis and shape analysis, the lab investigates the qualitative properties of solutions. The lab has also studied equations with nonlinear boundary conditions and dynamic boundary conditions.
Yukari Ito, Professor
0 student voices
The Ito Lab works in algebraic geometry, studying quotient singularities and their resolutions. Prompted by a problem about singularities arising from superstring theory, the lab has worked on extending the two-dimensional McKay correspondence to three dimensions. The lab is also interested in the case of non-abelian groups and in methods for proving the existence of resolutions of singularities.
Naoki Imai, Associate Professor
0 student voices
The Imai Lab works in arithmetic geometry, studying Galois representations and moduli spaces. The lab investigates moduli spaces of number-theoretic objects and applies the results to the study of Galois representations.
Osamu Iyama, Professor
0 student voices
The Iyama Lab studies ring theory and representation theory, both areas of algebra. The lab works with rings such as quivers, orders, commutative rings, and dg categories, together with their representations. The lab also studies the structure of categories associated with representations, such as derived categories, and their applications to cluster algebras and noncommutative resolutions of singularities.
Kohei Iwaki, Associate Professor
0 student voices
The Iwaki Lab studies differential equations containing a small parameter, such as the Planck constant, using a method called exact WKB analysis. Exact WKB analysis combines the WKB method, long used for approximate calculations in quantum mechanics, with Borel summation, a technique for summing divergent series. Using this theory, the global structure of solutions to second-order linear differential equations can be described as an infinite sum of certain period integrals on an algebraic curve. The lab also works on resurgence theory, its relations to cluster algebras and topological recursion, and applications to Painlevé equations.
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