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Other departments in Faculty of Science and Technology ›Faculties at Tokyo University of Science ›

Hiroyuki Ito, Professor
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Ito Lab studies algebraic varieties, which are defined as the common zeros of many multivariate polynomials, from a variety of angles. Regarding them as solution sets of polynomials, the lab investigates them from the viewpoint of number theory; regarding them as geometric objects, it studies the geometry of moduli spaces and singularities. As an application of finite fields, the lab also studies the generation of pseudorandom numbers. In the researcher database the lab is introduced under the name "Ito Lab," and the introduction here is based on the page of Professor Hiroyuki Ito.

Motohiro Sobajima, Associate Professor
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Sobajima Lab studies partial differential equations, a subject within mathematical analysis. Its listed research topics include the study of second-order elliptic operators with unbounded coefficients. Its research history also includes work on Rellich-type functional inequalities, dissipative wave equations, and the lifespan of solutions to nonlinear wave equations.

Yoshitaka Hachimori, Associate Professor
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The Hachimori Lab studies number theory, in particular Iwasawa theory. Iwasawa theory describes how the Selmer groups and zeta functions attached to number fields and elliptic curves behave over large Galois extensions. A mysterious relationship is believed to exist between Selmer groups and L-functions, and the lab aims to make this relationship precise in the p-adic setting. The lab's current research focuses on extending the theory to non-commutative p-adic Lie extensions and to more general Galois representations.

Tomokazu Kashio, Professor
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The Kashio Lab studies number theory, a branch of algebra. Number theory is the study of the properties and laws of numbers. The lab aims to weave a "theory of numbers" by combining not only algebraic approaches but also analytic and geometric theories. Its main research subjects include the Stark conjecture and generators of unit groups.

Takeshi Ohtsuka, Professor
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The Ohtsuka Lab uses nonlinear partial differential equations and geometric evolution equations to study the mathematics and numerical analysis of phenomena in which interfaces change over time. The lab also works on the mathematics of phenomena such as the spiral growth of crystals and the penetration of corrosive liquids into coatings. It also continues its research on data classification methods based on diffusion equations. Its current research aims to combine the theory of viscosity solutions with variational approaches for nonlocal and singular interface evolution equations.

Hisanori Ohashi, Associate Professor
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The Ohashi Lab specializes in algebraic geometry and studies shapes called algebraic varieties. An algebraic variety is a shape defined by a system of polynomials. It is a rich object that can be treated algebraically, geometrically, and analytically. It is said that a close study of automorphism groups reveals connections to fields outside conventional algebraic geometry. The lab's introduction page says, “Let's try all sorts of things!”

Susumu Hirose, Professor
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The Hirose Lab studies shapes called manifolds in the field of low-dimensional topology. Roughly speaking, a manifold is a shape that can be regarded locally as Euclidean space. Many mysteries still remain about manifolds of low dimensions, such as three and four dimensions. The lab conducts its research by relating it to concrete subjects such as mapping class groups and knots.

Kazuko Matsumoto, Professor
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The Matsumoto Lab studies complex analysis and function theory of several variables within mathematics. Its research field is basic analysis, and its research topic is function theory of several complex variables.
Yuya Matsumoto, Lecturer
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The Matsumoto (Yuya) Lab studies algebraic geometry related to K3 surfaces, within the field of algebra. Its research keywords are number theory, algebraic geometry, and K3 surfaces. Lecturer Yuya Matsumoto, who leads the lab, has studied K3 surfaces in mixed and positive characteristic since 2010, and has also studied singularities in positive characteristic since 2020.

Syota Esaki, Associate Professor
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The Esaki Lab is a mathematics lab whose research fields are geometry (metric measure geometry) and fundamental analysis (probability theory). Its research topics are applying probability-theoretic methods to metric measure geometry and studying dynamical random matrices. Associate Professor Syota Esaki has also worked on jump-type infinite particle systems with long-range interactions. Associate Professor Esaki joined the Department of Mathematical Sciences, Faculty of Science and Technology, Tokyo University of Science in April 2026.
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