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Other departments in School of Science ›Faculties at Nagoya University ›
Kazuhiko Minami, Associate Professor
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Prof. Minami studies statistical mechanics and mathematical physics. The professor investigates the properties of models in which spins are placed on lattice points and interact quantum mechanically. Centered on exact solutions of one-dimensional quantum spin chains, the lab works on solvable lattice models.
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.
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