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702 labs · 51 student voices
Naofumi Honda, Professor
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Prof. Honda works in algebraic analysis, focusing on the classification problem for holonomic systems (maximally overdetermined systems) with irregular singularities. Algebraic analysis is a field that combines analysis and algebra to approach a wide range of problems, and it was initiated by Japanese researchers. Holonomic systems are higher-dimensional systems of equations with properties similar to systems of ordinary differential equations in one variable, and they have influenced many areas of mathematics. For regular singularities, results based on the Riemann-Hilbert correspondence are known, but for irregular singularities, entirely different phenomena such as the Stokes phenomenon occur.
Tadahiro Miyao, Professor
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Prof. Miyao studies the mathematical structures of the diverse phenomena that appear in condensed matter physics. The tools are methods from analysis, such as operator algebras, stochastic analysis, and spectral analysis. The aim is not only to elucidate phenomena but also to deepen the theories used for that purpose. Keywords include quantum field theory, quantum statistical mechanics, and topological phases.
Yuhei Suzuki, Associate Professor
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Prof. Suzuki studies operator algebras, especially C*-algebra theory. C*-algebra theory is a system that provides a framework for understanding infinite-dimensional, noncommutative structures. When studying structures such as groups, topological dynamical systems, and metric spaces, C*-algebras often appear naturally as a powerful tool. Rather than such applications, Prof. Suzuki is interested in developing new insights and phenomena in C*-algebra theory itself.
Takahiro Hasebe, Associate Professor
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Prof. Hasebe studies probability theory, combinatorics, graph theory, functional analysis, complex analysis, and representation theory, with probability theory at the center. Particular emphasis is placed on noncommutative probability (free probability). This field is something like a fusion of all the fields listed above, and Prof. Hasebe writes that it suits students who like mathematics broadly without narrowing their specialization too much. Current interests are free probability, branching processes, and topology optimization.
Nao Hamamuki, Associate Professor
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Prof. Hamamuki studies nonlinear partial differential equations. The main subjects are equations that describe the motion of surfaces (interfaces) separating two different phases of a substance, as they arise in crystal growth and materials science. Based on the theory of viscosity solutions, a type of weak solution, the lab investigates the existence, uniqueness and long-time behavior of solutions, aiming to give these equations a rigorous mathematical foundation. Recently, the lab has also become interested in understanding phenomena from multiple perspectives through limit procedures, such as the relationship between the discrete and the continuous and between the micro and the macro.
Akira Sakai, Professor
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Prof. Sakai studies problems in mathematical physics, especially probability theory and statistical mechanics, with mathematical rigor. The central interests are phase transitions and critical phenomena, and the limit theorems associated with them. For example, the Ising model, a statistical-mechanical model of a magnet, shows a phase transition in which spontaneous magnetization appears or disappears as the temperature is changed. Critical phenomena are thought to arise from the cooperation of infinitely many components, and they require a theory that goes beyond conventional probability theory dealing with independent variables.
Hirotoshi Kuroda, Associate Professor
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Prof. Kuroda studies variational problems and partial differential equations with variational structure. The main subject is the total variation flow equation, which arises when removing noise from images. Because this equation is strongly singular, the lab uses subdifferentials of convex functions and the nonlinear semigroup theory they generate to study whether solutions exist and how they behave. The lab also covers total variation flow equations that appear in mathematical models of crystal growth, and recently it has taken an interest in phenomena that occur when a domain becomes thin and degenerates.
Hidenori Noguchi, Visiting Professor
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The Interfacial Energy Conversion Materials Chemistry Lab studies chemical reactions at the interface between a solid and a solution, where electron transfer plays the leading role. The lab develops methods for assembling atoms, molecules, and nanoclusters into functional material phases. It investigates energy conversion reactions at solid–liquid interfaces from a fundamental level, including electrode reactions in electrocatalysts and secondary batteries, with the aim of helping solve energy problems. The lab is part of the Hokkaido University–NIMS Joint Graduate School Program and accepts doctoral students who conduct their research at the National Institute for Materials Science (NIMS).
Kazunari Yamaura, Visiting Professor
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The Superconducting Materials Chemistry Lab searches for new inorganic materials with novel functions, focusing on solid-state oxides and similar compounds. Through advanced materials synthesis, precise structural analysis, and property characterization, the lab varies crystal structures, chemical compositions, and crystal morphologies in many different ways. By enhancing functions such as superconductivity, electronic properties, magnetism, and half-metallicity, and by exploring the underlying scientific principles, the lab aims to open up seeds for innovative new materials. The lab is part of the Hokkaido University–NIMS Joint Graduate School Program and accepts doctoral students who conduct their research at the National Institute for Materials Science (NIMS).
Naoto Shirahata, Visiting Professor
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The Nanoscale Physical Properties Science Lab develops materials with optical and electronic functions, based on nanomaterials, physical properties science, and device science. In addition to sophisticated material design and synthesis, the lab verifies material properties using cutting-edge observation and measurement techniques. The lab's research covers the search for new physical properties and their realization in devices, including applications to medical materials. The lab is part of the Hokkaido University–NIMS Joint Graduate School Program and accepts doctoral students who conduct their research at the National Institute for Materials Science (NIMS).
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