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900 labs · 77 student voices
Tadayoshi Adachi, Professor
0 student voices
The Adachi Lab studies mathematical physics, in particular partial differential equations using methods of functional analysis. Its main subject is the Schrödinger equation, the fundamental equation of quantum mechanics, and the lab investigates how its solutions behave over time. Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (at the graduate level, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Naomasa Ueki, Professor
0 student voices
The lab specializes in stochastic analysis, aiming to understand the laws of physical phenomena occurring in disordered media through mathematically rigorous reasoning. It investigates the properties of the mathematical models that describe these phenomena by combining operator analysis and Fourier analysis with methods of stochastic analysis. Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out their graduation research there (in the graduate school, the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Masashi Kisaka, Professor
0 student voices
The lab studies dynamical systems theory, particularly complex dynamics. It investigates the behavior that arises when polynomials, rational functions, and transcendental entire functions are applied repeatedly, using methods from complex analysis, topology, and ergodic theory. Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out their graduation research there (in the graduate school, the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Hiroki Sumi, Professor
0 student voices
The lab studies systems that change over time according to fixed rules (dynamical systems), as well as random dynamical systems, in which those rules change probabilistically. In random dynamical systems, many new phenomena that do not occur when the rule is fixed have been found, and they are attracting attention from mathematics and nonlinear physics. Undergraduate students are assigned to the Division of Mathematical and Information Sciences and carry out their graduation research there (in the graduate school, the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
DEBRECHT Matthew, Professor
0 student voices
The Debrecht Lab works in mathematical logic, topology, the theory of computation, and machine learning. Its main papers deal with topological spaces that admit computation (computable topology) and with quasi-Polish spaces. Undergraduates are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (for graduate students, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Hirohisa Hioki, Professor
0 student voices
The Hioki Lab studies media information processing and information visualization, with a focus on data hiding. Data hiding is a technique for concealing and embedding other data in images, audio, and similar content, and it is expected to be applied to areas such as copyright protection. Undergraduates are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (for graduate students, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
THIES Holger, Associate Professor
0 student voices
From the standpoint of the theory of computation and mathematical logic, the Thies Lab investigates the difficulty (complexity) of numerical computation and of problems in continuous mathematics. It studies how far concrete problems such as differential equations, dynamical systems, and computational geometry can be computed, and how much effort they require. Undergraduates are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (for graduate students, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Masayuki Hayashi, Associate Professor
0 student voices
The Hayashi Lab studies the mathematical analysis of partial differential equations, in particular nonlinear partial differential equations known as "dispersive" equations. The lab works to clarify the mathematical structures inherent in equations that arise as models of physical phenomena. Undergraduates are assigned to the Mathematical and Information Sciences Division and carry out their graduation research there (the graduate-level counterpart is the Mathematical and Information Sciences Division of the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Yoshihiro Maruyama, Associate Professor
0 student voices
The Maruyama Lab studies the theory of categorical duality, as well as applied category theory and applied topology. The lab also works on applying topology, geometry, and category theory to deep learning, and on quantum physics and quantum computation through category theory. Undergraduates are assigned to the Mathematical and Information Sciences Division and carry out their graduation research there (the graduate-level counterpart is the Mathematical and Information Sciences Division of the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Toshiya Kinoshita, Professor
0 student voices
The Kinoshita Lab uses laser cooling and atom trapping techniques to study a new style of condensed matter physics with ultracold atomic gases. The principles of quantum statistics that underlie the properties of matter can be observed directly in weakly interacting atomic gases. Undergraduates are assigned to the Materials Science Division and carry out their graduation research there (the graduate-level counterpart is the Materials Science Division of the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
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