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83 labs · 32 student voices
Faculties at Institute of Science Tokyo ›
Soma Purkait, Project Associate Professor
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Purkait Lab studies number theory, in particular automorphic forms (modular forms), the theory of newforms for them, and automorphic representations. In its papers to date, the lab has dealt with newforms of automorphic forms of half-integral weight and with Hecke operators.
Yuichiro Taguchi, Professor
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Taguchi Lab studies number theory. In its papers to date, the lab has dealt with Galois representations and with the moduli spaces that classify them. The lab's website also offers explanations of topics such as Fermat's Last Theorem, class field theory, and p-adic numbers.
Masatoshi Suzuki, Professor
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Suzuki Lab studies analytic number theory, the branch of number theory that investigates the properties of zeta functions and L-functions. Besides classical zeta functions, the lab also studies zeta functions of arithmetic schemes and algebraic groups. The lab also works on the connections between zeta functions and other fields, such as arithmetic geometry, representation theory, functional analysis, and partial differential equations. Master's theses supervised in the lab cover a variety of topics, including the distribution of prime numbers, integer partitions, and zeros of zeta functions.
Kiyonori Gomi, Professor
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The Gomi Lab studies topology, the area of mathematics that is closely tied to physics. The lab has also written expository articles that introduce topological insulators from the viewpoint of topology, as well as an introduction to twisted K-theory. Its papers include work on topology as it appears in condensed matter physics, such as topological insulators, and work on magnitude homology.
Hironori Oya, Associate Professor
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The Oya Lab studies representation theory in algebra, in particular Kac–Moody Lie algebras, quantum groups, and quantum cluster algebras. As quantum groups, the lab works with quantum enveloping algebras and quantum coordinate rings. In past graduation research, students have read books on Lie algebras and quantum groups, as well as books on Young diagrams, number theory, and combinatorial games. The lab welcomes lab visits from students who wish to join it at the graduate level, and online visits are also possible.
Tadashi Ochiai, Professor
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The Ochiai Lab studies number theory and arithmetic geometry. In its research talks, the lab covers topics such as p-adic L-functions, the Iwasawa main conjecture, and congruences between automorphic representations. The lab has also written a specialist book on Iwasawa theory, Iwasawa Theory and Its Perspectives (Parts 1 and 2; in Japanese). For their fourth-year graduation research, students have read textbooks on algebraic number theory, class field theory, and elliptic curves.
Yuri Yatagawa, Associate Professor
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The Yatagawa Lab studies ramification theory and invariants in arithmetic geometry. Among other topics, it investigates the relationship between invariants that appear in algebraic geometry and invariants of “ramification” that appear in algebraic number theory.
Hideyuki Miura, Professor
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The Miura Lab studies self-similar structures in nonlinear partial differential equations. Its listed research keywords include the Navier–Stokes equations.
Michiaki Onodera, Associate Professor
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The Onodera Lab studies the mathematical principles of “forms” through partial differential equations and variational problems. Phenomena and “forms” that appear in the natural sciences can be understood as states in which an underlying “energy” is at a local minimum. The lab formulates the problem of finding such states as a calculus problem in infinite-dimensional spaces, and aims to clarify their principles and structures.
Satoshi Naito, Professor
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The Naito Lab studies the representation theory of infinite-dimensional Lie algebras and quantum groups. The lab aims to understand interesting identities arising in mathematical physics and other areas through representations of quantum groups. Its main tools are crystal bases of quantum group representations and their concrete combinatorial realizations.
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