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14 labs · 2 student voices
Other departments in School of Science ›Faculties at Institute of Science Tokyo ›
Tonegawa Tonegawa, Professor
1 student voices
The Tonegawa Lab studies elliptic and parabolic partial differential equations, geometric measure theory, and its applications. The calculus of variations, the Allen–Cahn equation, and the Cahn–Hilliard equation are also objects of study. Minimal surfaces and mean curvature flow are also among the main research themes. An introductory book on Brakke's mean curvature flow (Brakke flow) has also been written.
Tamas Kalman, Associate Professor
1 student voices
The Kalman Lab studies low-dimensional geometric topology, especially contact 3-manifolds and Legendrian knots. Classical knot invariants such as the HOMFLY polynomial are also among its subjects of study. The lab also works on the combinatorics of graphs and lattice polytopes, and has found a new connection between quantum knot polynomials and Floer homology. Recently, it has also become interested in mathematical models of soft matter physics.
Nobuhiro Honda, Professor
0 student voices
The Honda Lab studies the structure of three-dimensional complex manifolds known as twistor spaces. Twistor spaces are somewhat unusual complex manifolds that arise from differential geometry on four-dimensional manifolds. Building on classical methods based on linear systems, the lab investigates their detailed structure. For students aiming at the doctoral program, the lab hopes that they will find their own research topics as far as possible, based on what they learn in the lab seminar.
Soma Purkait, Project Associate Professor
0 student voices
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
0 student voices
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
0 student voices
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
0 student voices
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
0 student voices
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
0 student voices
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
0 student voices
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.
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