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1,294 labs · 618 student voices
Hayata Yamasaki, Associate Professor
Quantum & Condensed Matter0 student voices
The Yamasaki Lab studies the foundational theory of quantum information and quantum computation, and its applications. A quantum computer processes information using the principles of quantum mechanics, and is fundamentally different from conventional computers. The lab seeks to clarify how quantum computers can be used and realized, as well as their optimal performance and fundamental limits. The lab aims to build a comprehensive theoretical foundation for the era of quantum information processing.
Akihito Ishizaki, Professor
Chemistry & Catalysis0 student voices
The Quantum Chemistry Lab theoretically studies the quantum dynamics that occur in molecules and materials, from the perspective of physical chemistry. The lab deals with the quantum dynamics of molecules and materials and their nonlinear optical response when exposed to light. It also works on developing density functional theory, which calculates electronic states, and on the theory of quantum spectroscopic measurements.
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.
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