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900 labs · 77 student voices
Hiroyuki Nakahara, Affiliated Professor
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Computational Cognitive Neuroscience (Affiliated Unit) is a unit affiliated with RIKEN, run by Affiliated Professor Hiroyuki Nakahara (Learning Theory and Social Brain Research Team) and Wataru Sato. The Nakahara Lab studies the brain mechanisms that produce adaptive behavior and the computational principles behind them. It focuses in particular on "decision making and learning" and on "social intelligence," which matters most in everyday life. The lab pursues experiments and theory in parallel. In experiments, it works with human fMRI; in theory, it works on computational models of the brain, brain-inspired intelligence, and techniques for analyzing brain data.
Tomoharu Iwata, Affiliated Professor
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Computational Intelligence Systems (Affiliated Unit) is a unit affiliated with the Data Science Course, run by Affiliated Professor Tomoharu Iwata of NTT Communication Science Laboratories.
Kaoru Ono, Professor
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The Ono Lab studies the geometric structure of space, especially the geometry of symplectic structures, in the fields of differential geometry and topology. Floer theory arose by combining the variational framework for studying periodic solutions of Hamiltonian systems with the method of holomorphic curves introduced by Gromov. With collaborators, the lab works on constructing Floer theory for Hamiltonian diffeomorphisms without technical conditions, and on Floer theory of Lagrangian submanifolds and homological mirror symmetry.
Kenji Nakanishi, Professor
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The Nakanishi Lab studies the mathematical analysis of partial differential equations. Its main subjects are nonlinear partial differential equations describing the spatiotemporal evolution of strongly interacting waves, such as those in plasmas, water surface waves, superfluids, and optical fibers. A variety of time evolutions arise from the competition between the dispersion of waves and nonlinear interaction. Recently, aiming to capture the behavior of general solutions as a whole, the lab has been investigating transitions between typical behaviors, as well as intermediate states.
Kei Irie, Professor
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The Irie Lab studies symplectic geometry, in the fields of topology and differential geometry. It focuses in particular on symplectic capacities and periodic orbits of Hamiltonian dynamical systems. Building on Floer homology, a theory that arose from pseudoholomorphic curves, the lab investigates the computation of capacities, periodic orbits of billiard dynamical systems, closing lemmas, and more. In the future, the lab also has in view establishing a method to compute Floer homology by finite-dimensional Morse theory in situations with a torus action.
Noboru Nakayama, Associate Professor
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The Nakayama Lab studies the birational geometry of algebraic varieties and complex manifolds. Using birational invariants such as the Kodaira dimension and plurigenera, the lab investigates the structure of varieties, placing particular emphasis on invariants related to the canonical divisor. The lab has also long worked on the classification of varieties that admit surjective endomorphisms that are not isomorphisms, and on ℚ-Gorenstein deformations.
Go Yamashita, Lecturer
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The Yamashita Lab studies arithmetic geometry. It lists p-adic Hodge theory, Iwasawa theory, multiple zeta values, Shimura varieties and the Langlands correspondence, and inter-universal Teichmüller theory among its research areas. Students who choose Lecturer Yamashita as their academic advisor are generally expected to study and conduct research in arithmetic geometry. After entering graduate school, students choose a text and present it at a seminar held about once a week, then find a research topic and proceed with their research.
Akio Tamagawa, Professor
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The Tamagawa Lab studies number theory and arithmetic geometry. From the viewpoint of number theory, it investigates coverings and fundamental groups of algebraic curves and their moduli spaces. At the Research Institute for Mathematical Sciences, research in this area is actively pursued, centered on anabelian geometry in the broad sense. For the anabelian geometry of curves, the lab has obtained results over finite fields, over fields finitely generated over the rational number field, and over algebraically closed fields of positive characteristic.
Shinichi Mochizuki, Professor
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The Mochizuki Lab studies arithmetic geometry. Its research focuses on the arithmetic geometry of hyperbolic algebraic curves, including elliptic curves and algebraic curves of genus 2 or higher defined over number fields, local fields, and finite fields. For hyperbolic algebraic curves, the outer action of the absolute Galois group of the base field on the non-abelian fundamental group is a natural starting point for arithmetic geometry. The lab has worked on topics such as p-adic Teichmüller theory, p-adic anabelian geometry, and the Hodge-Arakelov theory of elliptic curves.
Yoshinori Namikawa, Professor
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The Namikawa Lab studies, in the field of algebraic geometry, algebraic varieties whose canonical bundle is trivial. Its subjects are compact Calabi-Yau varieties, hyperkähler varieties, and non-compact algebraic varieties with a complex symplectic structure. The lab investigates such varieties with singularities from the viewpoints of birational geometry, deformation theory, and singularity theory.
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