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703 labs · 51 student voices
Hitoshi Moriyoshi, Professor
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Prof. Moriyoshi is interested in the study of manifolds in general, and works on topology and differential geometry. The professor is particularly interested in generalizations of the Atiyah–Singer index theorem, which connects the analytic invariants and the geometric invariants of manifolds. The professor believes the appeal of the index theorem lies in the way it brings together fields of mathematics with entirely different backgrounds. The seminar for undergraduate thesis research takes "Introduction to Geometry and Manifolds" as its theme. In a reading format where students take turns presenting, they learn the basic knowledge needed to study manifolds.
Ryuhei Mori, Associate Professor
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The Mori Lab studies the mathematical aspects of quantum information. Few labs in Japan study quantum information within a mathematics-oriented graduate school. The lab works on the complexity of generating graph states and on quantum algorithms for graph problems. Fourth-year undergraduates start by reading an introductory book on quantum information in a reading group, study on their own over the summer break, and in autumn choose a research topic and move on to their graduation research.
Shintaro Yanagida, Professor
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Prof. Yanagida's lab studies representation theory, mathematical physics, and algebraic geometry as its specialties. The main themes are the algebraic representation theory of vertex algebras and quantum algebras, the algebraic geometry of moduli, and quantum integrable systems. As a mathematical physics topic at the intersection of the algebraic geometry of moduli and the representation theory of quantum algebras, the lab is also pursuing research on the geometric representation theory of vertex algebras. In the graduation research seminar for fourth-year undergraduates, students learn the basics of algebraic representation theory, centered on Lie algebras and vertex algebras.
Nobuo Yoshida, Professor
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Prof. Yoshida's lab specializes in probability theory, with a particular interest in problems related to statistical physics. In his faculty profile, Prof. Yoshida says he chose probability theory because he was fascinated by the mystery that seemingly haphazard random phenomena are in fact governed by strict laws. In particular, the lab studies phase transitions in which a polymer chain changes shape dramatically because of impurities in the solvent, using a probabilistic model called the directed polymer in a random medium.
François Le Gall, Professor
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The Quantum Algorithms and Complexity Theory Group studies quantum algorithms and quantum computational complexity theory. Its goal is to discover new quantum algorithms and find killer applications for quantum computers. The group also works on theoretically proving the advantage of quantum algorithms using mathematical methods. The graduation research seminar of the Department of Mathematics requires neither programming experience nor prior knowledge of quantum mechanics.
Masaharu Tanabashi, Professor
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E Lab (the Elementary Particle Theory Lab) explores, from a theoretical standpoint, the most fundamental laws of nature, such as the origins of matter, forces, and time and space. Founded in 1942 by Shoichi Sakata, the lab has sent many researchers out into the world, including Makoto Kobayashi and Toshihide Maskawa. The lab's atmosphere is described as "free," and its staff, each an expert in a different field, respond to the varied research ambitions of young researchers. The lab values free thinking and says the subject of research does not have to be elementary particles.
Masayasu Harada, Professor
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The H Lab (Quark-Hadron Theory Lab) aims to elucidate quantum chromodynamics (QCD), the fundamental theory describing the dynamics of quarks and gluons. The lab theoretically studies the structure of hadrons, which are particles made up of bound quarks, and their behavior at high temperature and high density. Research on dense matter also contributes to understanding cosmic phenomena such as the internal structure of neutron stars, neutron star mergers, and supernova explosions. The lab aims to develop new theories and models to solve puzzles from experiments and to make proposals for future experiments.
Akihiro Ishibashi, Professor
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The QG Lab (General Relativity and Quantum Cosmology Lab) conducts a broad range of research on gravitational theory. Centered on general relativity, the lab theoretically studies phenomena that occur under strong gravity, such as those around black holes, and problems in cosmology from the early universe to the present. The lab also conducts fundamental research that applies quantum information theory on nontrivial spacetime structures to understand the relationship between gravity and quantum theory. The lab holds weekly lab colloquia, seminars featuring invited external researchers, and sessions introducing newly published papers.
Tomohiko Watanabe, Professor
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The P Lab (Plasma Theory Lab) studies plasmas in space and in the laboratory through theoretical analysis and computer simulation. Most of the interstellar matter filling space is in the plasma state, and plasmas are also used in fusion experiments and semiconductor processes. From a physics perspective, the lab works to elucidate instabilities, turbulence, shock waves, explosive phenomena, and structure formation occurring in plasmas. The lab carries out simulation research using supercomputers at institutions such as Nagoya University and the National Institute for Fusion Science.
Shuichiro Inutsuka, Professor
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The Theoretical Astrophysics Lab (Ta Lab) is a lab that uses fundamental physics, along with numerical calculations on supercomputers and analytical methods, to uncover the mysteries of the universe. At present, it studies the formation processes of a wide variety of celestial objects in particular. When necessary, it draws on theories from any area of physics, and it also studies the methods and algorithms needed for the calculations. Professor Inutsuka hopes for ambitious students who can pursue research with a broad interest in physics and other fields of science.
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