Kyoto University

Karasuma-dori Kawaramachi-dori

Research Institute for Mathematical Sciences
2020-2021

Shirakawa-doriKitaoji-doriHigashioji-dori
RIMS(in North Campus)

Kawabata-dori

Imadegawa-dori

Imadegawa

Kyodai Nogakubu-mae

Demachiyanagi

Hyakumanben

SubwayKarasuma Line

Kyoto
Imperial
PalaceMarutamachi-doriKitashirakawa

Kamo
River

Mt. Yoshida
Kyodai
Seimon-mae
Kyoto University
Konoe-dori
Jingu-Marutamachi

To Uzumasa Tenjingawa
Sanjo Higashiyama Sanjo
Hankyu Ry.
To Osaka
Gojo-doriGion-Shijo
HankyuKyoto-kawaramachi

Shijo-dori

KeihanElectric Railway

Shichijo-dori
In front of Kyoto Station
To Osaka

Subway Tozai Line

JR Tokaido Main Line/Shinkansen
To Tokyo

Kyoto Sta.

Kintetsu
Railway
To NaraTo Osaka

Private railway/subway line
Major railway stations/bus stops
Kyoto University Campus

Access from Major Railway Stations and Bus Stops
Major Railway Stations

Bus – Take:

Kyoto Station (JR)Kawaramachi Station (Hankyu)

Kyoto City Bus No. 17(For Shijo-Kawaramachi/Ginkakuji)

Karasuma Line (Subway)
Imadegawa Station

Kyoto City Bus No. 203(For Ginkakuji/Kinrin Shako)

Demachiyanagi Station(Keihan)

Kyoto City Bus No. 17(For Ginkakuji/Kinrin Shako)
Kyoto City Bus No. 203(For Ginkakuji/Kinrin Shako)

Bus: Stop at:“Kyodai Nogakubu-mae” or“Kitashirakawa”

Kyoto University
Research Institute for Mathematical Sciences
606-8502 K itashirakawa Oiwake-cho, Sakyo-ku, Kyoto Cit y
Telephone: 075-753-7202
UR L http://w w w.kurims.kyoto-u.ac.jp

01

Kyoto University

Research Institute for Mathematical Sciences
2020-2021

Contents■ Message from the Director ･･････････････････････････････････････････････････････････････････ 02■ Organization ････････････････････････････････････････････････････････････････････････････････････････････ 04■ Fundamental Mathematics Research Division ･･･････････････････････････････ 05■ Infinite Analysis Research Division ･･････････････････････････････････････････････････ 06■ Applied Mathematics Research Division ･･････････････････････････････････････････ 07■ Computer Laboratory ････････････････････････････････････････････････････････････････････････････ 08■ Center for Research Interaction in Mathematical Sciences ･･････････ 09■ Liaison Center in Mathematics ･･･････････････････････････････････････････････････････････ 09■ Center for Research in Next-Generation Geometry ･････････････････････ 09■ International Joint Usage / Research Center ････････････････････････････････････ 10■ International Exchange ･････････････････････････････････････････････････････････････････････････ 14■ Academic Exchange Agreements ････････････････････････････････････････････････････････ 15■ Graduate Education and Conferment of Degrees ･･･････････････････････････ 16■ Library ･･････････････････････････････････････････････････････････････････････････････････････････････････････ 17■ Publications ･････････････････････････････････････････････････････････････････････････････････････････････ 18■ Introductory Public Lecture / Expenses of the Institute ････････････････ 19■ RIMS History ･････････････････････････････････････････････････････････････････････････････････････････ 20■ Map of North Campus ･･････････････････････････････････････････････････････････････････････････ 21

Research Institute for Mathematical Sciences, Kyoto University

Research Institute for Mathematical Sciences, Kyoto University

02

03

Message from the Director

RIMS Director

Takashi Kumagai
The Research Institute for Mathematical Sciences(RIMS) is an institute that conducts comprehensive
research in mathematics and the mathematicalsciences. Since being established in 1963, RIMS has
been recognized as one of the world's leading
research institutes in these fields. Mathematics is, ofcourse, an important basic discipline located at the
deepest part of human knowledge and forms thebasis of science. It is a mystery of mathematics, and at
the same time fundamentally accounts for its
existence, that the structure of the real world can be
captured profoundly and beautifully by puremathematical thoughts.
In modern times, mathematics plays a central role insupporting science and technology. Especially since
the beginning of the 21st century, vast changes tosociety and industry have led to mathematics gaining
significant importance in creating new ideas, giving
these foundations, and leading them to realization1.
However, mathematics has not solely beendeveloped to meet the demands of applied fields.
Indeed, looking back in time, one can find many
examples where the mathematics that is widely
applied for practical purposes today was createdpurely from a mathematical perspective. For
example, Galois theory, which was introduced about
200 years ago to address the solvability of equations,
supports the codes and ciphers of modern network
communications, and non-Euclidean geometry isapplied to present-day GPS technology through thetheory of general relativity. Moreover, as a newer
example, the theory of stochastic analysis, which was
founded by Dr. Kiyosi Itô, a director of RIMS in the
mid-20th century, is widely used in mathematicalfinance. Through such integration with applications,the cultivation of a deep and broad generality ofmathematics has a strong power to change the world
we live in. On the other hand, applications ofmathematics have played a role in evoking new

Research Institute for Mathematical Sciences, Kyoto University

possibilities inherent inside mathematics andmotivating further progress in mathematics fromdiverse viewpoints. The pursuit of mathematics
based purely on mathematical interests and its
applications to science can thus be compared to theroots and branches of a tree. One cannot beestablished without the other, and the mutual
support of the two leads to the global development ofmathematics.
Since its inception, RIMS has had the mission tocomprehensively promote fundamental research inmathematics and research on the applications ofmathematics to science. To this end, there are threepillars to the activities of RIMS. The first is researchby faculty members. Over the half-century of RIMS
existence, this has led to many globally-recognizedachievements. Currently, RIMS has around 38
faculty members and is organized into three major
divisions (Fundamental Mathematics, Infinite
Analysis, and Applied Mathematics), as well as a
Computer Laboratory, making it a flexible
organization. In addition, RIMS has established the“Center for Research in Next-Generation
Geometry” to strengthen research in this area, the“Center for Research Interaction in Mathematical
Sciences” to promote international researchcollaboration, and the “Liaison Center inMathematics” to promote collaborative researchwith researchers from a wide range of scientific fields.
It has always been a fundamental policy of RIMS tomaintain an excellent research environment where
members can concentrate on research, with space
being given so that researchers may pursue theirmathematical endeavors above all else, and theresearch time of younger members in particularbeing highly valued.
The second pillar is the implementation of joint
usage projects aimed at contributing to the researchof a wide range of mathematicians and mathematicalscientists. Since its foundation, RIMS has served as anational joint research institute, and since 2010 it has
been certified as a Joint Usage/Research Center(JU/RC). At present, RIMS hosts around 80 RIMS
Workshops annually, with a combined total of morethan 4000 participants (of which about 400 are fromabroad). RIMS Kokyuroku, a collection of reportson these projects, has now exceeded 2000 volumes,
and the number of accesses of these exceeds 1.6
million annually (a little less than 40% being fromabroad). Since November 2018, RIMS has beencertified as an “International Joint Usage/ResearchCenter”, which has enabled it to expand its joint
usage projects and make international open calls. In
this direction, RIMS is promoting theinternationalization of its core projects, setting up
international collaborative research support
mechanisms and starting large-scale international
collaborative “RIMS Research Projects”. In
particular, for RIMS Research Projects, we selectspecific research themes, offer positions of project
fellows, and pursue research progress throughcollaborations with leading international researchers,
who are invited to make mid- to long-term stays at
RIMS. Moreover, by establishing new projects that
support individual-scale international collaborations,
recruiting projects all year round, and establishing aframework to support young researchers, RIMS willcontinue to play a role in supporting research inmathematics and the mathematical sciences bothwithin Japan and beyond.

researchers visit from all over the world andcollaborate on a daily basis. In this way, RIMS has
produced many excellent young researchers.
In the activities of RIMS, the three pillars describedabove are not separate, rather they are a trinity thatstrengthens each other, which is extremely
important for the development of the institute.
From a practical perspective, one of the current
challenges of RIMS is to secure building space thatfits the variety of its activities in a cohesive manner,and efforts to realize this will continue in the future.
The role of the institute is to provide a high-levelresearch environment where researchers can discusswith each other actively and think deeply aboutmathematics. Through its activities, RIMS is making
efforts to contribute to further developments inmathematics and the mathematical sciences in the
21st century.

Footnotes

1. In the 5th Science and Technology Basic Plan (FY2016-2020),
mathematical science is positioned as a "transverse science andtechnology that supports basic technology".
2. For graduate education, we are conducting the KTGU (Kyoto
Top Global University) project in collaboration with the
Department of Mathematics, Graduate School of Science.

The third pillar is the education of graduate
students2. So as to foster young researchers, RIMS
has had a graduate school since 1970. Currently, it
accepts 10 Master students and 10 PhD students
every year. Under the guidance of outstanding
faculty members, students can learn contemporary
mathematics in an environment where leading

Research Institute for Mathematical Sciences, Kyoto University

Organization

Fundamental Mathematics Research Division

Director

Fields: Number theory, algebraic geometry, topology, algebraic analysis,computation mechanism theory, etc.

Council

Deputy Director

Consists of the Director, professors, and a few professors of Kyoto University, anddeliberates and decides matters important for the institute.

This division investigates the fundamentals of mathematics including the systems of numbers, structures of spaces andfunctions, and laws of computation and reasoning with the intention of promoting the development of mathematics and its
applications in various ways and to provide them with solid research foundations.

International Advisory Board
Consists of international academic experts who have broad eyes and high insights
in mathematics and mathematical sciences.
Delegated by the Director and provide advice concerning the organization of RIMS.

Technical Committee

Advisory Board
Consists of selected professors and researchers
from inside and outside Kyoto University, andresponds to the important questions on theoperation of the RIMS posed by the Director.

Researchers

Consists of selected professors, associate
professors, senior lecturers, and researchers
from inside and outside Kyoto University, anddeliberates the joint usage of the institute.

Various Committees

Faculty Meeting

Consists of the Director and professors, and deliberates
and reviews important matters concerning the institute.

Research Divisions

Fundamental Mathematics Research Division
Infinite Analysis Research Division

OHTSUKI, Tomotada

Professor

ONO, Kaoru

Assistant Professor

ISHIKAWA, Katsumi

Professor

MOCHIZUKI, Takuro

Assistant Professor

ISHIKAWA, Suguru

Professor

NAKANISHI, Kenji

Assistant Professor

YAMASHITA, Mayuko

NAKAYAMA, Noboru

Assistant Professor

TSUJIMURA, Shota

Associate Professor

Applied Mathematics Research Division
Attached Institutes

Professor

Senior Lecturer(Topology)(Geometry/topology and differential geometry)(Differential geometry and algebraic geometry)(Partial differential equations, functional analysis and harmonic analysis)(Algebraic geometry)

YAMASHITA, Go(Arithmetic geometry)(Topology)(Differential geometry)(Differential geometry and theory of operator algebras)(Arithmetic geometry)

Computer Laboratory
Center for Research Interaction in Mathematical Sciences (internal process)Liaison Center in Mathematics (internal process)Center for Research in Next-Generation Geometry (internal process)

Administrative Office

Fundamental Algebraic Analysis

General Affairs Section

Research on functional equation systems

Cooperative Research Service Section

Administrative Director

Langlands Program

Library

Hodge Theory

Secretariat (including the International Research Support Office)

Program-Specific Administrative
Staff
Researcher

Category

Professor

Associate
Professor

SeniorLecturer

Assistant
Professor

Sub-Total

Fundamental Mathematics
Research Division

4

1

1

4

10
[1]

[1]

4(*1)

13(*1)

13(*1)

3(*1)

12(*1)

12(*1)Infinite Analysis
Research Division
Applied Mathematics
Research Division

[1]
5

4

3

4

Computation Mechanism
Research Institute

2

1

2

1
12

[1]
12

3

11(*2)

36(*2)

3

2

[1]
10

Algebraic Geometry

Research on the Galois Groups andtheir representations

Research on
algebraic equation systems

[1]
2

12

Cryptography andRandom Number Theory252

Vector Bundle and Moduli

Étale Topology and Anabelian Geometry

12

2

OthersTotal

10Administrative Bureau

Total

Technical
Staff

Arithmetic Geometry

Number Theory

Coding Theory and Gröbner Basis
Knot Theory

Topology

Computation Mechanism

Research on spaces and their invariants

Research on the fundamental theories of software

As of April 1, 2020(*1) indicates the number of Program-Specific Assistant Professors included in the number of Assistant Professors.
The numbers in [ ] are the numbers of domestic visiting professors and the numbers in ( ) are the number of overseas visiting professors, which are not included in the total.

Collaborative Research

Overseas and domestic visiting professors

06

Infinite Analysis Research Division

Applied Mathematics Research Division

Fields: Infinite dimensional analysis, infinite symmetry, global analysis,
geometric structure, probability structure, etc.

Fields: Theory of differential equations, mathematical physics, discrete systems,
large-scale calculation, complex systems, etc.

With the objective of analyzing systems with an infinite degree of freedom, which is an important research issue of mathematicalscience, this division pursues introducing developments in quantum physics and statistical physics, and at the same time
providing them with systematic and accurate mathematical foundations.

Through interaction with natural science, engineering, social science, and other scientific fields involving mathematics, thisdivision aims to return the results of research back to these fields for their development by investigating the mathematical issues
found in the fields.

Researchers

Researchers

Professor

TAMAGAWA, Akio

Associate Professor

HOSHI, Yuichiro

Professor

HASEGAWA, Masahito

Professor

MOCHIZUKI, Shinichi

Associate Professor

CROYDON, David

Professor

OZAWA, Narutaka

Senior Lecturer

KISHIMOTO, Nobu

Professor

KUMAGAI, Takashi

Assistant Professor

HELMKE, Stefan

Professor

MAKINO, Kazuhisa

Senior Lecturer

TAN, Fucheng

Professor

ARAKAWA, Tomoyuki

Assistant Professor

OOURA, Takuya

Associate Professor

KAWAKITA, Masayuki

Assistant Professor

HIKITA, Tatsuyuki

Professor

NAMIKAWA, Yoshinori

Assistant Professor

KOSHIKAWA, Teruhisa

Associate Professor

KOBAYASHI, Yusuke

Assistant Professor

MUROYA, Koko

Associate Professor

KAWAI, Toshiya

Program-Specific YANG, Yu
Assistant Professor (Arithmetic geometry)

Associate Professor

ISHIMOTO, Kenta

Program-Specific ISONO, Yusuke
Assistant Professor (Theory of operator algebras)

Associate Professor

TAKEHIRO, Shin-ichi(Number theory and arithmetic geometry)(Arithmetic geometry and anabelian geometry)(Probability theory)(Representation theory and vertex operator algebras)(Algebraic geometry)(Quantum field theory, string theory, and mathematical physics)(Arithmetic geometry)(Probability theory)(Algebraic geometry)(Numerical analysis)(Number theory and arithmetic geometry)(Theoretical computer science and software science)

Associate Professor(Theory of operator algebras and theory of discrete groups)(Discrete mathematics, optimization, and theory of algorithms)(Algebraic geometry)(Discrete mathematics, optimization, and theory of algorithms)(Fluid mechanics)

KAWAMURA, Akitoshi(Theory of computation)(Nonlinear partial differential equations)(Arithmetic geometry and Galois representations)(Geometric representation theory)(Theoretical computer science)(Geophysical fluid dynamics)

Infinite Dimensional Analysis

Large-Scale Structural Computation

Research on the analysis of infinite dimensional spaces
Infinite Dimensional Lie Groups

Path Integral

Lattice Models

Mathematical
Physics Systems

Schrödinger Equation
and Feynman Integral

Research on the mathematicalstructures of physical systems

Infinite Symmetry
Research on infinite
dimensional Lie algebra

Theoryof Operator Algebra

Root Systems

Probability Structures

Research on the mathematicalstructures of discrete systems

Theory of Differential
Equations

Research on probability theory
Numerical Experiments
of Turbulence

Gauge Theory
Symplectic Geometry

Discrete Systems

Difference
Equations

Research on differential
equations and their solutions

Cellular Dynamics

LaplacianHeat Equation

Gauge Groups

Numerical Experimentsof Fluids

Spectral Geometry
Geometry of Variety

Global Analysis

Geometric Structures

Research on the characteristic classes of spaces

Research on complex geometry

Collaborative Research

Overseas and domestic visiting professors

Nonlinear
Problems

Visualization

Large-Scale computation

Complex Systems

Mathematical research onlarge-scale computation

Research on systems having a large numbers ofdegrees of freedom and strong interactions

Collaborative Research

Overseas and domestic visiting professors

Computer Laboratory

This laboratory is conducting research and development of advanced software technology based on theoretical results.

Center for Research Interaction in Mathematical Sciences
For the purpose of promoting research exchange between excellent researchers from inside and outside Japan by providing themwith an environment for collaborative research, this faculty was established based on the former Center for Research in the Frontiersof Mathematical Science in April 2012. The project faculty members, both paid and unpaid, conduct research in cooperation withthe members of RIMS during a term of 2 to 3 months to 5 years in a research environment similar to those of the members of RIMS.
Researchers

Researchers

Project Professor
Project Professor

Director (joint appointment)
Associate Professor

HASEGAWA, Masahito(Theoretical computer science and software science)TERUI, Kazushige

Project Professor
Project Professor
Project Associate Professor

IWAMA, Kazuo
MUKAI, Shigeru
YAMADA, Michio
SAITO, Morihiko
KAWANOUE, Hiraku

Professor (joint appointment)
Associate Professor (joint appointment)
Associate Professor (joint appointment)
Professor (joint appointment)
Professor (joint appointment)

MAKINO, Kazuhisa
KAWAKITA, Masayuki
TAKEHIRO, Shin-ichi
MOCHIZUKI, Takuro
MOCHIZUKI, Takuro(Mathematical logic and theoretical computer science)

The computer system of the institute, used not only by the members of the institute but also by many visitors andcollaborators, is administered and maintained by dedicated technical staff, and is quite stable and reliable.
The high-speed computer for scientific calculation installed at this institute is a parallel computer with 18 nodes
and 216 cores. It is used to solve problems in applied mathematics including fluid mechanics and has been
producing new results one after another. (Figure 1 shows two-dimensional turbulence.) High-performanceworkstations are also used to conduct basic research in computer science, which has resulted in new theories on
computation and leading-edge software based on those theories. (Figure 2 illustrates the implementation of aprogram using the geometry of interaction.)

Liaison Center in Mathematics
For the purpose of conducting collaborative research with researchers from other academic fields and with companies, this center
was founded in May 2013. Its mission is the application of mathematics.
Researchers
Director (joint appointment)
Project Professor
Project Professor
Project Professor
Project Professor
Project Professor
Project Professor

KUMAGAI, Takashi
KOKUBU, Hiroshi
SAKAJO, Takashi

Professor (joint appointment)

FUJISHIGE, Satoru

Professor (joint appointment)

Professor (joint appointment)

HIRAOKA, Yasuaki

Professor (joint appointment)

MATSUDA, Fumihiko

Associate Professor (joint appointment)

YAMADA, Ryo

Associate Professor (joint appointment)

OHTSUKI, Tomotada
KUMAGAI, Takashi

HASEGAWA, Masahito
MAKINO, Kazuhisa

KAWAMURA Akitoshi
KOBAYASHI, Yusuke

Center for Research in Next-Generation Geometry
The Center for Research in Next Generation Geometry was founded in April 2019 for the purpose of promoting research in a
broad range of areas of next generation geometry, with a special emphasis on arithmetic geometry in general and inter-universal
Teichmüller theory in particular.
Researchers
Director (joint appointment)
Professor (joint appointment)
Professor (joint appointment)
Project Professor
Figure 1

Figure 2

Project Professor
Project Professor
Project Assistant Professor (joint appointment)

MOCHIZUKI, Shinichi
TAMAGAWA, Akio
MOCHIZUKI, Takuro
KASHIWARA, Masaki
MORI, Shigefumi

NAKAJIMA, Hiraku
YANG, Yu

1011International Joint Usage / Research Center
International Center for Collaborative Study in Mathematical Sciences

Outline of the Joint Research Activities

Since its establishment, RIMS has served for the purpose of accelerating research in mathematical sciences. In
2010 RIMS was certified as a Joint Usage / Research Center by the Ministry of Education, Culture, Sports,
Science and Technology (MEXT) , contributing to progress of the researches, providing researchers in themathematical sciences with opportunities for various joint researches. In November, 2018, RIMS was certified asan International Joint Usage / Research Center by MEXT that functions as an international hub for otherresearch institutes in and outside Japan, with the aim of leading international joint research activities andstrengthening the research abilities of domestic researchers. RIMS implements five types of joint research
activities as an International Joint Usage / Research Center (RIMS Workshops (Type A,B,C), RIMS Symposia,
RIMS Satellite Seminars, RIMS Review Seminars, and RIMS Long-Term Researchers), and the RIMS
Research Projects that are provided in combination with any of the above-mentioned programs. In the RIMS
Research Projects, leading researchers from abroad stay at RIMS to conduct research activities for a medium tolong-term. These programs aim to promote international collaborative research activities and development ofyoung researchers. RIMS publicly solicits proposals for joint research activities from in and outside Japan once a
year or throughout the year depending on the types of programs. Joint research activities proposed are examined
and approved by the Technical Committee and the Advisory Board. RIMS may designate some urgent andimportant projects as special projects to expedite their efficient implementation.

RIMS Research Project
An international joint research program implemented
in combination with any of the several types ofjoint research activities described below. Leading
researchers in their respective fields are invited andstay at RIMS for a medium to long-term, working on
specific research subjects for a period of several months
to one year. RIMS chooses and implements more than
one project under this RIMS Research Project eachacademic year. Call for proposal is published inaround June each academic year for projects to be
implemented two years later. Each applicant shouldorganize an organizing committee comprising several
members to submit an application. Projects under thisRIMS Research Project are implemented to develop
researchers who will lead research projects in the fields
of mathematics and mathematical sciences in the future.
The applicant may recommend young researchers who
participate, in cooperation with leading researchers, inplanning, drawing and implementing international
research projects as "RIMS Project Fellows."

RIMS
Workshops

RIMS
Research Project

RIMS
Satellite Seminars

RIMS
Review Seminars

RIMS
Symposia
RIMS Long Term
Researchers

Several Types of Joint Research Activities
RIMS Workshops (Type A,B,C)
Open or closed workshop
A: A group consisting of at least two researchers shallbe formed. The researchers conduct joint research
at RIMS for a few days to two weeks. RIMS starts
accepting applications around September eachacademic year.
B: A group comprising a few researchers, including atleast one international researcher and domestic
researcher, conducts joint research at RIMS for a few
days to about one week. RIMS accepts proposals
throughout the year.
C: A group comprising a few international researchers
conducts a joint research at RIMS for a few days toabout one week. RIMS starts accepting applications
around April each academic year.
RIMS Symposia
Open symposia
These are an open symposia style joint research. The
program of this joint research shall be notified toorganizations/institutions in Japan. RIMS starts
accepting applications around September eachacademic year.

Research Institute for Mathematical Sciences, Kyoto University

Research Institute for Mathematical Sciences, Kyoto University

Implementation of Joint Usage / Research
RIMS Satellite Seminars

Number of Joint Usage /Research Projects

Number of Participants

Closed seminar
These are a closed seminar where researchers invitedfrom both within and outside Japan stay at a venue
outside RIMS and discuss research subjects inmathematical sciences. The purpose of these seminars
is to promote rapid progress in target research areasand help fostering future leaders in those areas. RIMS
starts accepting applications around April eachacademic year.
RIMS Review Seminars
Open or closed seminar
These are a tutorial seminar for researchers.
Comprehensive lectures on respective fields are given
by one or more tutors for the purpose of sharing new
trends and problems among related researchers. RIMS
starts accepting applications around April eachacademic year.

Fiscal 2010 Fiscal 2011 Fiscal 2012 Fiscal 2013 Fiscal 2014 Fiscal 2015 Fiscal 2016 Fiscal 2017 Fiscal 2018 Fiscal 2019
Number of Participants

Number of Joint Usage / Research Projects(Note: The total number of participants with consideration given to the number of days is approximately four times higher than shown in the chart.)

RIMS Long Term Researchers
These researchers conduct research as a joint usage
researchers for two weeks or longer at RIMS. One of
the important purposes is to make research exchanges
with local researchers around RIMS. RIMS accepts
domestic applications only, around September eachacademic year.

How to Apply

Results of Joint Usage / Research

Application guides and application forms for these programs are available for download on the following page.
All applications are accepted through electronic submission.

Many of the results of joint usage / research will be assembled in papers and included in RIMS Kôkyûroku and RIMSKôkyûroku Bessatu (see the section on publications) issued by RIMS, as well as published in domestic and overseas
academic journals.

-Call for Proposals
http://www.kurims.kyoto-u.ac.jp/kyoten/en/recruitment.html-List of RIMS Research Projects
http://www.kurims.kyoto-u.ac.jp/kyoten/en/index.html-Past RIMS Research Projects
http://www.kurims.kyoto-u.ac.jp/kyoten/en/past.html-Formats
http://www.kurims.kyoto-u.ac.jp/kyoten/en/formats.html

Visiting Professors

International Exchange

Due to the major divisional change in April 1999, the position of overseas visiting professor was provided in each of thethree major research divisions. Researchers from each field of mathematical science invited from overseas stay for a longtime through the year and conduct joint research with domestic researchers.

RIMS as an international joint research center
As the largest center of international joint research in the field of mathematical science in Japan, prominent researchers
from overseas come and stay at this institute. It serves as a place for domestic and overseas researchers to conductcollaborative research. Its activities have earned international acclaim including a comment in the Notice of the AMS,
2004, "RIMS, an Institute for Japan and the World."
Specific activities include receiving researchers of mathematical science from overseas universities and research
institutions as visiting professors or guest scholars invited to Kyoto University, guest research associates, or short-stayvisiting research scholars. These guest scholars stay for around a week to half year and are received in various forms.
Three hundred or more researchers are received every year including the overseas researchers coming to conduct joint
usage research. The institute also actively accepts international students.
Inviting overseas researchers, on which the institute concentrates its efforts, is expected to promote interactions withdomestic researchers through international joint research by systematic coordination with joint usage research such as
international symposiums (held around 10 times every year as part of a joint usage research project) in which many
overseas researchers participate. RIMS aims at promoting RIMS Research Project for international joint research andencouraging international applications for joint research activities. Furthermore, RIMS commits to support young
researchers in pursuing international joint research.

Number of Visitors from Overseas
Country

Fiscal 2014

Fiscal 2015

Fiscal 2016

Fiscal 2017

Name (University)
LECLERC, Bernard Didier（University of Caen）
GEKHTMAN, Michael（University of Notre Dame）
SAIDI, Mohamed（University of Exeter）
CADORET, Anna（UPMC）
JORDAN, Tibor（Eötvös Loránd University）
GURVICH, Vladimir（National Research University Higher School of Economics）
POWER, Anthony John（University of Bath）
BÉRCZI, Kristóf（Eötvös Loránd University）

Tenure2019. 4. 1
2019. 5.13
2019. 6.13
2019. 7. 1
2019. 8. 1
2019.10. 1
2019.11.17
2019.12. 1

–
–
–
–
–
–
–
–

2019. 6. 30
2019. 8. 12
2019. 9. 12
2019. 10. 1
2019.10. 31
2019.12. 31
2020. 2. 28
2020. 2. 29* Only those in place in fiscal 2019

Distinguished Visiting Professors
As part of the efforts for assisting the Top Global University Project at Kyoto University, professors with highinternational reputations including Fields Medal winners are received as distinguished visiting professors. They conduct
research and teach students with the staff of Kyoto University, as well as participate in a wide range of education
including special lectures.
Name (University)
CHEN, Zhenqing（University of Washington）
POPA, Sorin（University of California, Los Angels）
MATSUKI, Kenji（Purdue University）
FEIGIN, Boris（Landau Institute of Theoretical Physics）

Tenure2019. 3. 20
2019. 3. 27
2019. 4. 19
2019. 6. 2

–
–
–
–

2019. 4.19
2019. 4.25
2019. 5.10
2019. 8.30

* Only those invited in fiscal 2019

Fiscal 2018 Fiscal 2019

United States

Academic Exchange Agreements

United Kingdom
Italy
India
Australia
CanadaSouth Korea
SwedenAs part of the activities of the center of international research, the following academic exchange agreements have beenconcluded for the purpose of promoting and developing research collaborations in the fields of mathematical science.

China
Denmark
Germany
FranceRussiaOthers
Total

Changes in Overseas Visitors
584

Visitors

Fiscal
2009

Fiscal
2010

Fiscal
2011

Fiscal
2012

Fiscal
2013

Fiscal
2014

Fiscal2015

Fiscal2016

Fiscal2017

Fiscal2018

Fiscal2019

Target Organization
Country
International Institute for Advanced Studies
Japan
Korea Institute for Advanced Study（KIAS）
South Korea
Department of Mathematical Sciences, Seoul National University（SNU）
South Korea
Osaka City University Advanced Mathematical InstituteJapan
Pacific Institute for the Mathematical Sciences（PIMS）
CanadaNational Institute for Mathematical Sciences（NIMS）
South Korea
Hausdorff Center for Mathematics, University of Bonn（HCM）
Germany
Tohoku University Advanced Institute for Materials ResearchJapan
The CAU Nonlinear PDE Center, Chung-Ang University
South Korea
National Center for Theoretical Sciences（NCTS）
TaiwanCollege of Science, University of Utah
United States
Higher School of Economics, National Research University
Russian Federation
Global Math Network (Hausdorff Center for Mathematics, University of Bonn/
Départment Mathématiques et Applications, École Normale Spérieure/Courant
Institute of Mathematical Sciences/New York University/Beijing International
Center for Mathematical Research, Peking University)
The Center for Geometry and Physics, Institute for Basic Science (IBS-CGP)
South Korea

Date of Conclusion
April 1, 1997
March 10, 2000
June 23, 2006
March 5, 2007
March 30, 2009
June 24, 2010
February 14, 2011
November 1, 2012
June 4, 2013
July 25, 2014
October 13, 2016
June 2, 2017
July 1, 2017
August 1, 2017

Graduate Education and Conferment of Degrees

Library

RIMS aims to develop unique young researchers who belong to the Department of Mathematical Sciences of theDivision of Mathematics and Mathematical Sciences in the Graduate School of Science, Kyoto University. In
connection with this, the institute implemented the 21th Century COE Program, Formation of an International Centerof Excellence in the Frontiers of Mathematics and Fostering of Researchers in Future Generations and the Global COE
Program, Fostering Top Leaders in Mathematics–Broadening the Core and Exploring New Ground in the past.
Currently, as the Mathematics Unit of the Kyoto University Top Global University Project “Japan Gateway Program” , itprovides the graduate students with an international research environment including teaching by top-class overseas
researchers. These projects are jointly run by the Division of Mathematics and Mathematical Sciences in the Graduate
School of Science and RIMS.

As a special library, the institute library collects literature and materials in the fields of mathematics, appliedmathematics, computer science, and theoretical physics, and provides services not only to the staff and researchers of
Kyoto University, but also to researchers of mathematical science all over Japan. Especially, the library serves as thecenter of joint usage/joint research, and is actively used by the participants of center activities. It is also endeavoring toenrich its stock of electronic books and journals.
The collected materials are in the reading room on the 3rd floor and the storeroom in the basement. They can be searchedusing KULINE (Kyoto University Library Online Catalogue). On a terminal in the reading room on the 3rd floor,
domestic and overseas academic articles can be retrieved and used by accessing the database and electronic journals.

Number of Students

Library Web Site
http://www.kurims.kyoto-u.ac.jp/~library/Home.html

The numbers of students on the Department ofMathematical Sciences are as listed below.

Conferment of Degrees
The number of students in the Department ofMathematical Sciences who received a Ph.D. (inscience) from Kyoto University (since 1994) islisted below.

Fiscal Year
Fiscal 2016
Fiscal 2017
Fiscal 2018
Fiscal 2019
Fiscal 2020

Master’s Program
19
20
21
21
21

Doctoral Course
130

Doctoral Program
21
23
25
20
24

As of April 1 for all fiscal years

Doctoral Dissertation
51

Total
181

As of April 1, 2020

Awards Received by Graduate Students
Recently, graduate students in the Department of Mathematical Sciences have received the following prizes.
February 2012
March 2013
September 2014

SUZUKI, Sakie
ISHIMOTO, Kenta
ISHIMOTO, Kenta

December 2015
September 2018

ISHIDA, Yawara
NAKAJIMA, Shuta

4th Kyoto University Tachibana Award for Outstanding Woman Researchers
FY 2013 Kyoto University President’s Award
Fiscal 2013 Award for Outstanding Paper in Fluid Mechanics (jointly withProfessor Yamada while undertaking a doctoral course)
CANDAR 2015 Graph Golf Competition “Deepest Improvement Award”
FY 2018 MSJ Takebe Katahiro Prize for Encouragement of Young
Researchers

Career after Completing Graduate School Program
Most students work as researchers at universities and companies.
Career after Graduate School Master’s Program(Fiscal 1995 to 2019)

Other schools 3

5 Others

Civil servants 5

Career after Graduate School Doctoral Program(Fiscal 1995 to 2019)

Continuing studies 3
Research fellows 2
Overseas 4
research institutes

5 Others

Private universities 4
Companies/research institutes
39

Continuing
studiesNational
and public universities 20

Postdoctoral
research

102

60
Companies/research institutes
30

Number of Books
Foreign books
Japanese books

97,9308,098
Total: 106,028

Foreign journals
Japanese journals

1,462
134
Total: 1,596
As of April 1, 2020

18

Publications

19

Introductory Public Lecture

Publications of RIMS, which has been issued every year since 1965, is a journal for publishing important results inmathematical sciences, including those of the researchers of RIMS, in English. Papers that were published five years ormore ago are freely available on the Web site of the European Mathematical Society. Some of those papers are alsoavailable on J-STAGE of the Japan Science and Technology Agency and the Web site of RIMS. RIMS Preprint, which
releases the results of research by the full-time researchers before printing and publishing, are made available on the Web
site of RIMS. About 30 issues are released every year.
In addition, as the records for lectures concerning joint usage research, around 50 to 60 issues of RIMS Kôkyûroku arereleased every year. For the records of the workshops specially selected by the Advisory Board, RIMS Kôkyûroku
Bessatsu is issued. Papers having no copyright problems are publicized on the Web site of RIMS and the research
information repository of Kyoto University.

European Mathematical Society
http://www.ems-ph.org/journals/journal.php?jrn=prims
Electronic archive site of the Japan Science and Technology Agency
https://www.jstage.jst.go.jp/browse/kyotoms1969
National Institute of Informatics
http://www.nii.ac.jp/sparc/partners/#7
RIMS
http://www.kurims.kyoto-u.ac.jp/~prims/index.html
http://www.kurims.kyoto-u.ac.jp/preprint/index.html
http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/kokyuroku.html

Introductory Public Lecture has been held almost every summer since 1976, featuring around three topics based on the
results of mathematical science research selected from various aspects.
Fiscal Year Count Topic
Number of Students
Fiscal 2013
35th (1) Untyped lambda calculus and models(2) Mathematics of crushed ice
85(3) Morse theory and Floer theory
Fiscal 2014
36th (1) Reconstruction of the additive structure with multiplicative information(2) Billiards to symplectic topology
108(3) How to calculate more easily? – Design and analysis of algorithms
Fiscal 2015
37th (1) Poincaré conjecture and rich flow(2) Mathematics of the planetary dynamo theory – Why stars and planets have their magnetic fields?
114(3) Banach-Tarski paradox
Fiscal 2016
38th (1) Mathematics of knots(2) Semantics of programming languages and category theory
121(3) Solving differential equations
Fiscal 2017
39th (1) Prime number theorem and Riemann zeta function(2) Introduction to nonstandard analysis – Mathematics of hyperreal numbers and infinity
110(3) ADE generalization of quintuple product formulas – From the viewpoint of field theory
Fiscal 2018
40th (1) Algebraic geometry - an introduction with search of its origin(2) Introduction to symplectic duality
108(3) Universal Algebra as an Introduction to Undergraduate Algebra
Fiscal 2019
41st (1) Unsolved problems in fluid dynamics(2) Duality in combinatorial optimization
116(3) Functional inequalities and energy concentration
The lecture was cancelled due to COVID-19 in fiscal 2020.

Kyoto University Research Information Repository
http://hdl.handle.net/2433/24849

Expenses of the InstitutePublications
Publications of RIMS(Quarterly)
RIMS Kôkyûroku Bessatsu
RIMS KôkyûrokuRIMS Preprint

The latest issue is vol. 56, No. 1.
The latest issue is No. 76.
The latest issue is No. 2149.
The latest issue is No. 1912. (Only electronic version has been issued since August 2013.)

As of April 1, 2020

Unit: 1 thousand yen

ItemManagement Expenses Grants
Breakdown: Labor costs
Article costs
Grants-in-Aid for Scientific ResearchCommissioned research/commissioned projects
Collaborative researchContributions
Total

Fiscal 2014
730,971443,792
287,179
121,468

Fiscal 2015
721,779
435,362
286,417
131,842

Fiscal 2016
695,477
419,552
275,925
142,138

Fiscal 2017
671,194
399,307271,887
115,602

Fiscal 2018716,594
412,545
304,049
108,934

Fiscal 2019703,302407,115
296,187
110,433

789

1,586

8,190

9,515

10,176

21,77912,482
3,472
869,182

3,936
3,974
863,117

2,032
1,000
848,837

2,648
553
799,512

3,846
27,913
867,4633,862
857
840,233* The external funds include the indirect expenses.
The Grants-in-Aid for Scientific Research and contributions are the amount received.

20

RIMS History

April

1958

The 26th General Assembly Meeting of the Science Council of Japan (SCJ) approved the founding of RIMS.

April

1963

RIMS was founded as a joint usage research institute attached to Kyoto University for the purpose of conducting
general research in mathematical science. In the initial year, two research divisions (Fundamental Mathematics
Research Division One and Operator Theory Research Division) were established.

April

1964

Two research divisions (Fundamental Mathematics Research Division Two and Applied Analysis Research
Division One) were established.

April

1965

Two research divisions (Non-Linear Problem Research Division and Applied Analysis Research Division Two)
were established.

April

1966

Two research divisions (Approximation Theory Research Division and Numerical Analysis Division) were
established.

April

1967

One research division (Computer Research Division) was established. A total of nine research divisions werecompleted.

April

1971

The Applied Mathematical Programming Institute attached to RIMS was established.

April

1975

The Division of Mathematical Sciences was established in the Kyoto University Graduate School of Science.

April

1978

The Global Analysis Research Division was established.

April

1980

The Mathematical Science Research Division (with a visiting professor from overseas) was established.

April

1984

The Algebraic Analysis Research Division (with a 10-year limit) was established.

May

1989

The Mathematical Physics Research Division (with a 10-year limit) was established.

April

1992

The Algebraic Variety Research Division (with a 10-year limit) was established.

April

1994

Due to the reorganization of the Graduate School of Science, the Division of Mathematics and Mathematical
Sciences was established. The Division of Mathematical Sciences is subsumed by the Department of Mathematical
Sciences in this new division.

Research Building

Reinforced concrete, one floor underground and four floors
above ground Built in 1964 to 1967. Aseismic repair in 2009
Northern Campus of Kyoto University, Kitashirakawa
Oiwake-cho, Sakyo-ku, Kyoto

Graduate School of Science Bldg. No. 5

April

1995

The Applied Mathematics Research Division (with a visiting professor from overseas) (with a 10-year limit) wasestablished.

April

1999

Due to reorganization, RIMS consists of three major research divisions (Fundamental Mathematics Research
Division, Infinite Analysis Research Division, and Applied Mathematics Research Division) and one attachedinstitute (Applied Mathematical Programming Institute attached to RIMS).

Graduate School of Science Bldg. No. 6

April

2004

The Applied Mathematical Programming Institute attached to RIMS was re-established as the Computer
Laboratory.

Graduate School of Science Bldg. No. 2

April

2006

The Center for Research in the Frontiers of Mathematical Science was established (internal process).

October

2007

The Mathematical Science Joint Research Division (with the Nomura Group) was established (for 3 years)
commemorating the awarding of the Carl Friedrich Gauss Prize to Dr. Kiyoshi Ito.
RIMS was certified as an advanced Joint Usage / Research Center of Mathematics and Mathematical Science (for 6
years).

April

2012

The Research Center for Quantum Geometry was established (internal process). The Center for Research in the
Frontiers of Mathematical Science changed its name to the Center for Research Interaction in Mathematical
Sciences.

May

2013

The Liaison Center in Mathematics was established (internal process).

April

2016

The certification of the advanced Joint Usage / Research Center of Mathematics and Mathematical Science wasrenewed (for 6 years).

December 2017

The Preparatory Center for Research in Next-Generation Geometry was established (internal process).

November 2018

RIMS was certified as an International Joint Usage/Research Center (International Center for Collaborative Studyin Mathematical Sciences, for 3 years).

April

2019

The Center for Research in Next-Generation Geometry was established (internal process / in the place of The
Preparatory Center for Research in Next-Generation Geometry, which is abolished).

April

2020

The Research Center for Quantum Geometry is abolished.

Yukawa Institute for
Theoretical Physics
Yukawa Hall

Graduate School of Science Bldg. No. 4

The Field of Algebraic Analysis Research Division (with a 10-year limit) was established (in the place of the
Algebraic Analysis Research Division, which was abolished).

Graduate School of Science Bldg. No. 3

RIMS

Faculty of Agriculture,
Main Bldg.

Faculty of Science
Botanical Garden
Main Gate

Graduate School of
Science Bldg. No. 1

RIMS Annex
Research Bldg. No. 2
Research Bldg.
No. 3

Institute for Research in
Humanities, Main Bldg.
Research Bldg. No. 4
Research Bldg.
No. 14

Research Bldg. No. 5

Research Bldg. No. 15

Kitashirakawa Gakusha

Maskawa Building for Education andResearch Bldg.

Graduate School of
Agriculture
Graduate School of
Biostudies

Radioisotope Research Center (Annex)
Research Center for Low Temperature andMaterials Sciences

1994

2010

Sports GroundExperimental Farm

June

April

21

Map of North Campus

Part of the 3rd floor of Research Bldg. No. 4
Part of the 4th floor of Research Bldg. No. 2
The 2nd floor of Research Bldg. No.15
Part of the 2nd, 3rd, and 5th floor of theMaskawa Building for Education andResearch Bldg.

Guesthouse for Joint Use Researchers(Kitashirakawa Gakusha)

Guesthouse for the researchers visiting this instituteCommonly called “Kitashirakawa Gakusha,” it is jointly managed andoperated by RIMS and Yukawa Institute for Theoretical Physics.
Building Area: 137m2; Total Floor Space: 453 m2;
4 stories above the ground; Capacity: 14 persons
Address: 50-227 Kitashirakawa Ogura-cho, Sakyo-ku, Kyoto City
Telephone: 075-701-8862
For inquiries, contact Cooperative Research Service Section(kyodo@kurims.kyoto-u.ac.jp).

Center for Informatics inEast Asian Studies(Institute for Research in
Humanities)