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Faculty Members, Graduate School of Pure and Applied Sciences - Doctoral Programs - Doctoral Program in Mathematics

Field of Research Faculty Detailed Description of Research Field

A l g e b r a AKIYAMA Shigeki MASUOKA Akira

CARNAHAN Scott

SAGAKI Daisuke

〔KIMURA Ken-ichiro〕 〔MIKAWA Hiroshi〕

Number theory, Ergodic theory, Self-similar structure Hopf algebra, Quantum group Moonshine, Automorphic forms, Algebraic geometry, Vertex algebras Representation theory of Lie algebras and quantum groups Algebraic cycles, Motives Prime number theory

G e o m e t r y INOGUCHI Jun-ichi KAWAMURA Kazuhiro

TASAKI Hiroyuki

HIRAYAMA Michihiro 〔AIYAMA Reiko〕 〔ISHII Atsushi〕

〔NAGANO Koichi〕

Integrable systems Geometric topology Differential geometry, Integral geometry and their applications Dynamical systems, Ergodic theory Differential geometry, Submanifolds theory Low dimensional topology, Knot theory Global Riemannian geometry, Geometry of metric spaces

A n a l y s i s KAKEHI Tomoyuki TAKEUCHI Kiyoshi

KINOSHITA Tamotsu TAKEYAMA Yoshihiro

〔KUBO Takayuki〕

Global analysis, Differential equations on symmetric spaces Algebraic analysis and its applications to singularity theory Weakly hyperbolic equation, Microlocal analysis Mathematical physics, Solvable models, Special functions Mathematical analysis of nonlinear partial differential equation in fluid dynamics

Mathematics of Information AOSHIMA Makoto

* (TSUBOI Akito) KOIKE Ken-ichi SHIOYA Masahiro

TERUI Akira

YATA Kazuyoshi

Statistical science, Large complex data, High- dimensional statistical analysis, Asymptotic theory Mathematical logic, Model theory, Stability theory Statistical sequential estimation, Bayesian inference Axiomatic set theory Computer algebra, Symbolic-numeric computation Multivariate analysis, Sequential analysis, High-dimension low-sample-size data analysis, Asymptotic theory

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（Note） Those marked with * will be retiring by March 31, 2021. Only application of Ph.D. candidates for the Early

Completion Program will be accepted to these members. Applicants who wish to do research under the supervision of one of these members should consult the faculty member prior to application.

Those marked with ※ will be retiring by March 31, 2022. Only application of Ph.D. candidates for the Early Completion Program will be accepted to these members. Applicants who wish to do research under the supervision of one of these members should consult the faculty member prior to application.

Applicants are advised to choose one of the faculty members above, other than those enclosed by the parentheses “〔 〕” , as an academic supervisor. The members enclosed by “〔 〕” will also cooperate with their research as academic advisors.

Applicants are requested to discuss their research plan, prior to application, with the faculty member by whom they would like to be supervised.

For inquiries about the entrance examination, please contact:

Prof. Shigeki Akiyama, Chair, Doctoral Program in Mathematics Email：akiyama#@#math.tsukuba.ac.jp (Remove “#”) Telephone: 81-29-853-4009 Website of Mathematics major：https://nc.math.tsukuba.ac.jp

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Doctoral Program in Physics Field of Research Faculty Detailed Description of Research Field

Particle physics Theory ISHIBASHI Nobuyuki KURAMASHI Yoshinobu

ISHIZUKA Naruhito TANIGUCHI Yusuke YAMAZAKI Takeshi ※YOSHIE Tomoteru

〔MOHRI Kenji〕 〔ISHIKI Goro〕

〔OHNO Hiroshi〕

(1) Research on nonperturbative aspects of elementary particle physics by numerical analyses based on lattice field theory (QCD, physics beyond the standard model including string theory, tensor renormalization group)

(2) Research on mathematical aspects of quantum field theory and string theory (nonperturbative

formulation of string theory, quantum gravity, gauge/gravity correspondence)

Experiment UKEGAWA Fumihiko HARA Kazuhiko TAKEUCHI Yuji

〔SATO Koji〕 〔OKAWA Hideki〕 〔IIDA Takashi〕

(1) Studies of elementary particles at hadron- hadron colliding beam experiments (Higgs particle physics, top quark properties, electroweak interactions, bottom quark physics, quantum chromodynamics and strong interactions, and searches for new particles such as supersymmetry).

(2) Searches for neutrino decays and the determination of their masses using the cosmic neutrino background.

(3) Development of new particle detectors for the LHC accelerator luminosity upgrade, linear electron-positron colliders, and other future experiments.

Astrophysics Theory UMEMURA Masayuki OHSUGA Ken MORI Masao

YAJIMA Hidenobu 〔YOSHIKAWA Kohji〕 〔WAGNER Alexander〕

(1) Formation of Cosmic Structure and Observational Cosmology

(2) Formation of the First Generation Objects (3) Formation and Evolution of Galaxies (4) Formation of Black Holes (5) Evolution of Planetary Systems and

Astrobiology Theoretical researches on these issues by using simulations with supercomputers and by analytic methodology.

Observation KUNO Nario 〔NITTA Tom〕

Observational study of our Galaxy, galaxies, active galactic nuclei, distant universe, et al., and development of radio telescopes and detectors. Projects of submillimeter and terahertz telescopes which will be installed in the Antarctic plateau are advancing, in addition to observing with existing telescopes such as the Nobeyama 45-m telescope and ALMA.

Nuclear physics Theory NAKATSUKASA Takashi YABANA Kazuhiro

(1) Theoretical researches on quantum many-body systems with the strong interaction, such as

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Field of Research Faculty Detailed Description of Research Field

※〔HASHIMOTO Yukio〕 〔HINOHARA Nobuo〕

microscopic structure of unstable nuclei and neutron stars, nuclear reaction for element synthesis in the universe, etc.

(2) Computational approaches to interaction between ultra-short laser pulse and material.

Experiment OZAWA Akira ESUMI Shinichi SASA Kimikazu

〔CHUJO Tatsuya〕 〔MORIGUCHI Tetsuaki〕

(1) Experimental Study of Nuclear physics using relativistic heavy ion collider (Quark Gluon Plasma, Big Bang Cosmology, Reaction mechanism of high energy nuclear collision)

(2) Evolution of Nucleosynthesis using RI beam (Nucleosynthesis, Unstable nuclei, Precise mass spectroscopy of rare nuclei)

(3) Accelerator Mass Spectrometry (AMS) of cosmogenic nuclides(Global environmental changes, Age dating, Cosmic-ray intensity variation and Ultrasensitive detection method for radionuclides), Environmental radiation and Radiation physics

(4) R&D of new experimental devices (Accelerator, detector, new application of accelerator beam)

Condensed m a t t e r p h y s i c s

Theory HATSUGAI Yasuhiro TANIGUCHI Nobuhiko 〔YOSHIDA Tsuneya〕

〔MIZOGUCHI Tomonari〕

(1) Quantum theory of matter( Y. Hatsugai, T. Yoshida,T.Mizoguchi):

Theoretical/numerical studies of quantum phases of matter (theory of bulk-edge correspondence, graphene, quantum (spin) Hall systems, strongly correlated systems, exotic superconductors, quantum spins, Berry phases, topological insulators, etc.)

(2) Nano Quantum Physics (Taniguchi): Quantum properties and quantum transport phenomena in semiconductor nanostructures; Quantum field theories of nonequilibrium steady states; Quantum field theories of low dimensional systems, random systems or chaotic systems.

Experiment NISHIBORI Eiji MORITOMO Yutaka

IKEZAWA Michio ONODA Masashige

MORISHITA Masashi 〔HIGASHIYAMA

Kazuyuki〕 〔KUBO Atsushi〕

〔TOMIMOTO Shinichi〕

(1) Magnetism and Materials Science (Onoda): Multilateral and comprehensive study for correlated electron system (novel superconductivity, metal-insulator transition), quantum spin-fluctuation system, and functional system (novel ion battery, thermoelectric conversion) with NMR, ESR, structure analysis, and conventional measurements of electrical, magnetic or thermal

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Field of Research Faculty Detailed Description of Research Field

〔KASAI Hidetaka〕 〔KOBAYASHI Wataru〕

〔NIWA Hideharu〕

properties. (2) Low temperature physics (Morishita):

Low dimensional quantum properties in quantum fluids and quantum solids (helium) which appear with structural control.

(3) Energy materials science (Y. Moritomo, W. Kobayashi, H. Niwa, and H.Higashiyama)Research of the energy materials and devices, such as, sodium-ion secondary battery, perovskite solar cell . thermoelectrics, catalyst, superconductor, and so on with use of Synchrotron-radiation X-ray (SPring-8, PF) and nano probes (NIMS), and so on.

(4) Structural Materials Science（ Nishibori, Kasai）: Structural materials science using advanced x-ray region photon sources. Ultra-high resolution charge density study; In-situ observation of nano-particle synthesis; structural studies of thermoelectrics, battery materials, molecular functional materials. International research collaboration using research unit project.

(5) Nanophotonics (Ikezawa, Kubo, Tomimoto): [Semiconduct