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176 labs · 0 student voices
Faculties at Yokohama National University ›
Kenta Ozeki, Professor
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Professor Kenta Ozeki's lab studies graph theory, which investigates the structures and properties of graphs that model connections between objects. Road networks and social media networks can be viewed as graphs. The lab is particularly interested in good paths in graphs, and lists cycles, paths, and graph coloring as its research areas. Hamiltonicity of graphs on closed surfaces is another of its research areas.
Takeshi Kajiwara, Professor
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Professor Takeshi Kajiwara's lab studies number theory, arithmetic geometry, and algebraic geometry within the field of algebra. The starting point is the familiar integers, from which many different worlds unfold. The lab learns the results of its predecessors one by one while aiming for further progress. In undergraduate courses, the professor teaches "Sets and Topology" and "Galois Theory and Number Theory."
Minoru Shirazaki, Associate Professor
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Associate Professor Minoru Shirazaki studies computational fluid dynamics, a branch of fluid dynamics, which investigates the motion of fluids, such as air and water, that change shape easily, and the forces acting on them. The equations of motion for fluids (the Navier-Stokes equations) are not easy to solve, so the lab works to clarify fluid phenomena through computer simulation. Recently, the lab has focused on multiphase flows, in which gases, liquids, and solids interact with one another. It also conducts research that uses numerical simulation to study how living organisms run on or swim through water.
Etsuo Segawa, Professor
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Professor Etsuo Segawa's research fields are quantum walks and discrete mathematical models. The university's researcher directory lists papers on quantum walks on graphs and on models that bridge random walks and quantum walks. The professor has also contributed chapters to a specialist book on quantum walks. He belongs to the Division of Social Environment and Information in the Faculty of Environment and Information Sciences, and also holds a concurrent appointment in the Department of Mathematics, Physics, Electrical Engineering and Computer Science in the Faculty of Engineering Science.
Masato Takei, Professor
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Professor Masato Takei's probability theory lab uses the mathematics of probability theory to study the laws followed by things that seem, at first glance, to move at random. His fields of specialization are given as random walks and percolation in the faculty profile, and as lattice probability models and stochastic processes in the graduate school's faculty list. In recent years, he has been pursuing research out of interest in the behavior of random walks in which past history affects future movement.
Tomoyuki Tanaka, Associate Professor
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Associate Professor Tomoyuki Tanaka, who works on the theory of partial differential equations, studies nonlinear partial differential equations of the so-called dispersive type, which are related to wave phenomena. Examples include the KdV equation, a model of waves on shallow water such as canals, and the Schrödinger equation, the fundamental equation of quantum mechanics. For nonlinear problems, a "solution formula" cannot be expected, so it is not even obvious whether an equation has a solution in the first place. The professor is also interested in how solutions behave.
Atsuhiro Nakamoto, Professor
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The lab of Professor Atsuhiro Nakamoto studies graph theory, a branch of discrete mathematics. Its listed research areas include topological graph theory, planar graphs, and graphs on the torus. In discrete mathematics, arguments are built in words rather than with large-scale formulas. The work requires describing difficult mathematical phenomena as simply and precisely as possible.
Maki Nagura, Special Research Faculty
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The topology lab is interested in invariants of manifolds, and its research areas are topology, algebraic geometry, and knot theory. Currently, it focuses on several invariants of knots and links, which are 1-dimensional manifolds in the 3-sphere. Its goal is to express these invariants from an algebraic perspective. The faculty member teaches Mathematics Exercises I and II in the Mathematical Sciences Educational Program (EP) of the Department of Mathematics, Physics, Electrical Engineering and Computer Science.
Atsushi Noma, Professor
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The algebra lab of Professor Atsushi Noma focuses on algebraic geometry, which deals with solution sets of polynomial equations. Currently, it targets the construction of defining equations using methods such as linear projection. The lab aims for students to choose subjects and methods according to their interests, study and research them, and develop their own strengths and confidence.
Shushi Harashita, Professor
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The lab of Prof. Harashita studies algebraic geometry, a branch of algebra, and its applications to number theory. Algebraic geometry studies generalizations of the equations that describe circles and parabolas, with more variables and more equations. In number theory, the lab works with related partial differential equations and also uses analytic number theory.
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