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33 labs · 3 student voices
Other departments in College of Science and Engineering ›Faculties at University of Tsukuba ›
Akira Masuoka, Professor
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The Masuoka Lab studies Hopf algebras, (super) group schemes, Galois theory, and tensor categories. Prof. Akira Masuoka, who heads the lab, is a professor who studies mathematics at the University of Tsukuba. The lab's website carries records of research meetings and seminars on Hopf algebras. The professor has also written articles introducing Galois theory and an introductory textbook on linear algebra.
Scott Carnahan, Associate Professor
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The Carnahan Lab studies representation theory, with an emphasis on low-dimensional physics and number theory. Its main problem is Monstrous Moonshine, which involves infinite-dimensional Lie algebras, vertex algebras, algebraic curves, and modular functions. Recently, the lab has also been working on computer-based formalization in the programming language Lean 4, centered on vertex algebras and Lie algebras.
Hajime Kaneko, Associate Professor
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The Kaneko Lab studies uniform distribution theory and transcendental number theory within analytic number theory. The faculty list of the Degree Program in Mathematics lists Prof. Kaneko as an Associate Professor in the Algebra Group. Its research keywords also include beta expansions. The titles of its papers include ones that deal with representing numbers by their digits and by beta expansions.
Kenichiro Kimura, Lecturer
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The Kimura Lab studies the K-groups and Chow groups of algebraic varieties in the field of algebra. In the Degree Program in Mathematics at the University of Tsukuba, the lab belongs to the Algebra Group. In recent years, the lab has published papers on mixed Tate motives and on integration over semialgebraic sets.
Ryotaro Sakamoto, Assistant Professor
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The Sakamoto Lab studies number theory and Iwasawa theory. Its research keywords include L-functions, Selmer groups, and Iwasawa theory. The research field is algebra, and the lab's faculty member is listed in the Algebra Group of the Mathematics Degree Program. The faculty list also notes that the faculty member is assigned to the Center for Artificial Intelligence Research.
Kazuhiro Kawamura, Professor
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The Kawamura Lab studies geometric topology, metric geometry, and topological combinatorics. Its research keywords also include Banach algebras, function algebras, and topological dynamics. The University of Tsukuba's Degree Program in Mathematics lists the lab's faculty member as part of the Geometry Group.
Takayuki Koike, Professor
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The Koike Lab studies complex geometry and the theory of functions of several complex variables. Among Hermitian metrics on line bundles over complex manifolds, the lab is interested in those with singularities, and especially those with the mildest singularities. The lab is also interested in the complex analytic geometry of neighborhoods of compact submanifolds (such as Ueda theory) and its applications.
Atsushi Ishii, Associate Professor
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The Ishii Lab studies knot theory within topology. On its website, the lab gives handlebody-knots, quandles, twisted Alexander invariants, and quantum invariants as research keywords. In the Mathematics Subject Classification 2020, items such as knot theory, generalized knots, knot polynomials, and finite-type and quantum invariants are listed. The lab belongs to the Division of Mathematics, Institute of Pure and Applied Sciences, University of Tsukuba, and its website introduces the professor as an Associate Professor.
Koichi Nagano, Associate Professor
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The Nagano Lab studies global Riemannian geometry and the geometry of metric spaces. Its research keywords include Riemannian manifolds, Alexandrov spaces, CAT(k) spaces, and homology manifolds. The lab investigates the geometric structure of metric spaces with curvature bounded above. Within the Mathematics Degree Program, the lab belongs to the geometry group.
Michihiro Hirayama, Associate Professor
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The Hirayama Lab studies dynamical systems theory and ergodic theory. In the faculty list of the Mathematics Degree Program, Associate Professor Hirayama is introduced as a member of the geometry group. In courses, the professor teaches Special Research in Geometry and Geometry II, among others.
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