CONTENTS
Message from Dean ……………………………………………………………………………………………………

1

Introduction of Teaching Faculty ……………………………………………………………………………………

2

Education Programs : Original Program Fostering Creativity in Mathematics ………………………………… 10
Education Programs : Undergraduate Program …………………………………………………………………

12

Education Programs : Graduate Program for Masterʼs Degree ………………………………………………… 14
Education Programs : Graduate Program for Doctoral Degree (Ph. D.) ………………………………………… 16
Tuition and Other Information……………………………………………………………………………………… 18
International Activities………………………………………………………………………………………………… 20
Support for Education and Research ………………………………………………………………………………… 24

The Cover Page: Ford Circles near √2
Ford circles let us visually understand the world of rational
numbers. A Ford circle is a circle centered at ( pq , 2q1 2 ) withradius12q2p, where q is an irreducible fraction. Each Fordcircle is tangent to the horizontal axis and no two circles
LQWHUVHFWZLWKHDFKRWKHU,QIDFWRQHFDQ¿WDOO)RUGFLUFOHV
beautifully in the upper half plane. The cover page shows theFord circles corresponding to those rational numbers near √2.
,QSDUWLFXODUWKHEROGHUFRORUHGFLUFOHVUHSUHVHQWWKH¿UVWIHZ
1

31

terms of the sequence 1, 1 + 2 = 2 , 1 + 2＋ 1
1 + 2＋ 1 1

2＋ 1
2

2

17

7

= 5 ,

= 12 , . . . , which converges to √2 as the following

continued fraction expansion of √2 shows:1√2 = 1＋2＋

1
2＋ 2 1＋…

The figure suggests how quickly this sequence converges
to √2. As this example shows, with the aid of Ford circles, theories
involving rational numbers and continued fractions can beunderstood from a geometric aspect.

Message from Dean

Graduate School of Mathematics NAGOYA UNIVERSITY

Enjoy your journey into mathematics!
To those who take up this brochure
Study and research of mathematics are often compared tomountain climbing. This is because the experience of piling up
logical steps to reach our goals or obtaining surprisingly new
Dean of Graduate School of Mathematics
SURVSHFWVE\¿QGLQJXQNQRZQURXWHVYLHZSRLQWVDQGFRQFHSWVLVKANNO, Hiroaki
similar to the experience of mountain climbing. The mathematics
you have learned in high school and undergraduate programs islike climbing well-known mountains with a passage leading up to
the start point of a mountain trail and a nicely paved path. But in a
graduate program, you often face punishing paths and untrampled
routes. I do not necessarily mean forbidding lofty mountain as in
the Himalayas. Even in familiar mountains nearby, there might besecret routes and hidden lookout points. It is also appealing to aim
at mountains spreading over from mathematics to other academic
fields. In recent years, many mountains crossing over theboundaries of mathematics have been discovered, ever expanding
the research field of mathematics. If you are considering
studying and researching mathematics in graduate school, pleasecontemplate which mountain you would like to climb. I hope thatthe information on our faculty members provided in this brochure
will assist you in doing this.
In mountain climbing, the higher your goals are, the greater theneed is to develop physical strength and to gather backgroundinformation. Even if you are planning to climb a familiar
mountain, to avoid accidents, it is always important to checkthe weather forecast and to make prudent judgments. Just as inmountain climbing, learning and researching mathematics requireconsiderable preparation and determination. As this brochurecarefully explains, it is our belief that our graduate program
SURYLGHVVXI¿FLHQWVXSSRUWV\VWHPVIRU\RXWRVWXG\DQGUHVHDUFKmathematics. Our basic policy in educational programs stresses
fundamental knowledge of mathematics and broad coverage of
YDULRXV¿HOGVRILW%DVHGXSRQWKLVSROLF\ZHRIIHUV\VWHPDWLFDOO\organized courses, a wide variety of intensive courses, and atutorial program under the supervision of advisors. We are alsoproud of our excellent library, secure computer network system,
and friendly supporting staff. Furthermore, in recent years, we have been strengthening our career planningsupport.
Perhaps some of you might think that you can do mathematics alone. But to avoid becoming complacent,you should not neglect communicating with various people. I advice you to keep your intellectual curiosity,
to ask questions when you are puzzled, and to try to explain to others when you discover something or solveinteresting problems. In these days, gathering information has become simple due to the development of theInternet. Yet, it cannot replace face-to-face communication with people from other academic disciplines orfrom different cultural backgrounds. We provide various opportunities for interaction such as Cafe David* andmany events for international students. I encourage you to seize these opportunities.
One of the biggest goals for a graduate student in mathematics is to submit a masters’ thesis or doctoral thesis
and have it approved by the thesis committee. It can be compared to writing a useful guidebook on a mountain\RXKDYHLQYHVWLJDWHGDQGPDNLQJSHRSOHLQWHUHVWHGLQWKDWPRXQWDLQ,ZRXOGOLNHWRLQYLWH\RXWR¿QG\RXU
favorite mountain and tell others its charm. We, the members of the Graduate School of Mathematics, will
gladly help you in that endeavor.
footnote
DFRPPRQRI¿FHKRXULQRXUJUDGXDWHVFKRRO VHHSDJH ¹

Introduction of Teaching Faculty
Keyword

KeywordIntegrable model, Conformal
ﬁeld theory

Programming languages, TypetheoryMy current subject is the quantum
field theory with infinitedimensional symmetry such as
Virasoro algebra, for example, the
VWULQJWKHRU\FRQIRUPDO¿HOGWKHRU\and two-dimensional integrable
model.

I am studying the theory underlying
functional programming languages.
For more than 15 years, I havebeen working at fitting types onto
the world, but the job is far from¿QLVKHG

AWATA, Hidetoshi

GARRIGUE, Jacques
Keyword

KeywordGraph colorings and labelings,
Traversability in graph,
Connectivity in graph

Algebraic K-theory, Motivic
cohomology, Higher Chow groups

In the area of graph theory, myresearch interests include studying
graph structures through graphcolorings / labelings and distancesin graphs. One of my current topics
is to study traversability in graphs
using various covering walks.

I work on algebraic K-theory andmotivic invariants of varieties, andtheir applications to arithemetic
algebraic geometry. This includes
class field theory of schemes, theTate-Beilinson conjectures, andthe Beilinson-Soule vanishingconjecture.

FUJIE-OKAMOTO, Futaba

GEISSER, Thomas
Keyword

KeywordN u m b e r t h e o r y, A r i t h m e t i cgeometry, Non-commutativeclass ﬁeld theory

Representation theory, Algebraicgroup

I am working to formulate "(unknown)
invariant theory" which should associate
to infinite dimensional representations,mainly using algebraic analysis,
algebraic geometry, and representation
theory.

I am trying to understand a very
primitive but basic object "integers"
via the modern aspects such as
automorphic forms and Shimuravarieties (non-commutative class¿HOGWKHRU\ $OJHEUDLFDQGJHRPHWULF
methods (including cohomology
theory) are mainly used in myapproach.

FUJIWARA, Kazuhiro

FURUSHO, Hidekazu²

GYOJA, Akihiko
Keyword

KeywordN u m b e r t h e o r y, A r i t h m e t i cgeometry, Motivic fundamental
group

Mathematical physics,
Elementary particle physics,
Noncommutative solitons

I am working on (p-adic) periodsand (p-adic) differential equations
associated with motivic fundamentalgroups. I am also working on
structures on special types ofquantum groups associated with the
KZ-equations.

I am interested in mathematical structure
behind law of nature, especially,
elementary particle physics and string
theory. Now I study noncommutative
solitons and integrable systems related
to N=2 string theory and twistor theory.

HAMANAKA, Masashi

Graduate School of Mathematics NAGOYA UNIVERSITY

Keyword

KeywordQuantum information, Information
theoryStochastic analysis

The solutions of stochastic differential
equations (SDEs) are most important
examples among stochastic
processes. I study these processes
by using rough path theory, which isa generalization of SDE theory.

In order to ravel the mistery ofquantum theory, I have studied
quantum information theory basedon the information theoretical aspect.
My study treats this topic from theview points of information theory
and representation theory.

HAYASHI, Masahito

INAHAMA, Yuzuru
Keyword

KeywordQuantum group, Hopf algebra,
Tensor category

Homogeneous space, Unitary
representation

7KH¿HOG,DPZRUNLQJLQLVTXDQWXP
groups and their representations.
In particular I am interested ingeneralized quantum groups and theirrelations to other area of mathematics,
such as classical representation theory
and integrable systems.

I study geometry and analysis ona manifold whose symmetry is
not so small but not so large. I am
interested in how a 'strain' of the
manifold is reflected on function
spaces over the manifold.

HAYASHI, Takahiro

ISHI, Hideyuki
Keyword

Keyword

Homotopy theory, Algebraic
K - t h e o r y, p - a d i c a r i t h m e t i cgeometry

Hyperbolic geometry, KleiniangroupsMy research interest is the theoryof Kleinian groups. In this area,
hyperbolic geometry, Riemannsurfaces and low-dimensional
topology are closely related eachother. I am studying deformation
spaces of Kleinian groups, whichhave fractal boundaries.

My research focuses on the study of
automorphisms of high dimensional
manifolds through homotopy
theory, algebraic K-theory, andtopological cyclic homology. In
this investigation, invariants andconstructions in p-adic arithmetic
geometry naturally appear.

HESSELHOLT, Lars

HISHIDA, Toshiaki

ITO, Kentaro
Keyword

Keyword

Partial differential equations,
Navier-Stokes ﬂow

Crepant resolution, Quotient
singularity, McKay correspondenceInterests are focussed on theexistence, uniqueness, regularity,
stability and asymptotic behavior of
the Navier-Stokes flow in several
unbounded domains. Functionaland real-analytic methods are often
employed.

I am studying quotient singularities
by finite groups. I am interested in
the geometric and algebraic structureof them and their correspondences.
They are also related with the superstring theory in physics.

ITO, Yukari³

Keyword

Keyword

Representation theory, AuslanderReiten theory, Derived category,
Cluster theory

Knot theory, Topology

I mainly research the relations
between diagrams and invariants ofknots and links. It is amazing thata lot of formulas are proved using
advanced theories, though some ofthem seem to be very easy.

The theory of categorical structureof modules over associative algebras
was initiated by Auslander, Gabriel,
Ringel and others. This active
research area has a strong impact
on other fields of mathematics andphysics, and requires fresh ideas
from young students.

IYAMA, Osamu

KAWAMURA, Tomomi
Keyword

KeywordQuantum field theory,
Supersymmetric gauge, String
theory, Integrable system

Fluid mechanics, Vortex motion,
Turbulence

My research specialty is theoretical
DQGFRPSXWDWLRQDOÀXLGPHFKDQLFVI am interested in studying various
mathematical aspects of flow
problems.
In particular, I am concerned with
the nonlinear dynamics of vortices
and waves in flows including
turbulence.

I am working on quantum geometry
underlying the web of dualities
among supersymmetric gauge/string
theories. Representation theory andintegrable systems are powerful tools
for the investigation of quantum
invariants in such a geometry.

KANNO, Hiroaki

KIMURA, Yoshifumi
Keyword

KeywordNonlinear partial differential
equations, Fourier analysis

Diophantine geometry

Diophantine geometry of minimal
surfaces is a new reserach area which
combines two classical subjects. A
mysterious geometry emerges fromthis coupling, in which I am recently
most interested in.

0\UHVHDUFK¿HOGLVQRQOLQHDUSDUWLDO
differential equations relevant to thewave propagation phenomena, andrelated topics. I have been studying
the solvability of such equations byusing functional analysis, Fourier
analysis, etc.

KATO, Jun

KOBAYASHI, Ryoichi
Keyword

KeywordComplex dynamics

Algebraic Geometry, Moduli,
Automorphic Forms

Complex dynamics, the theory ofdynamical systems in complex
variables, is the field I work in. I
am mainly interested in rigidity andinstability of such systems.

KAWAHIRA, Tomoki

⁴

I'm studying geometry of the moduli
spaces of some varieties by applying
the theory of periods of K3 surfaces
and Borcherds theory on automorphic
forms.

KONDO, Shigeyuki

Graduate School of Mathematics NAGOYA UNIVERSITY

Keyword

KeywordSource coding, Channel coding

Noncommutative geometry, The
Atiyah-Singer index theorem

0\UHVHDUFK¿HOGLVWKHLQIRUPDWLRQ
theory. They includes many topics,and I study especially source coding
and channel coding. Those topics
treat of rate of data compression andchannel capacity respectively. They
are based on the theory of stochastic
processes.

KUBO, Masashi

Noncommutative Geometry is a newframework in Mathematics proposed
by A. Connes. The Atiyah-Singer
Index Theorem is a central theme in
Noncommutative Geometry, whichis my current research subject.

MORIYOSHI, Hitoshi
Keyword

KeywordZeta-functions, L-functions

Random matrices, SemiclassicaltheoryStudying distribution of values
and analytic properties of various
zeta and L-functions such as the
Riemann zeta-function, automorphic
L-functions, and multiple zetafunctions.

MATSUMOTO, Kohji

Random matrices are matrices withrandom number elements. Using themethods such as the semiclassicalanalysis, I multilaterally study
random matrices from the viewpointsof the fundamental theory andvarious applications.

NAGAO, Taro
Keyword

Keyword

Solvable lattice model, Statisticalmechanics, Quantum structureDiﬀerential geometry, Variational
problem, Computer network
systemI am mostly working in theories ofquantum and statistical structure oflattice models. Within these areas
one can work on problems involving
solvable lattice models, its algebraic
structures, critical phenomena andapplications to magnetic materials

MINAMI, Kazuhiko

MORIYAMA, Sanefumi

My research subject are geometricvariational problems and nonlinear partial differential equations.
R e c e n t l y, I a l s o r e s e a r c h a nauthentication system of computer
network.

NAITO, Hisashi
Keyword

KeywordString theory, Gauge theory,
Mathematical physics

Quantum integrable systems,
Quantum groups

String theory is the most promising
FDQGLGDWHIRUDXQL¿HGGHVFULSWLRQRI
all particle interactions. My researchconcerns the underlying beautiful
mathematical structure of string
theory and its physical implications.

I study (i) the integrable systems
in quantum dynamics and field
theories, (ii) the algebraic structures
and their representation theories
behind them such as quantum
groups and Lie algebras, and (iii)
the interplay of (i) and (ii).

NAKANISHI, Tomoki

⁵Keyword

KeywordNonpositively curved metricspaces, Rigidity of discretegroups, Harmonic maps

Enumerative and algebraic
combinatorics, Combinatorial
representation theory

I am interested in themes ofdifferential geometry such asconformal geometry and geometryof nonpositively curved metricspaces. Recently I study rigidity ofactions of discrete groups on such
metric spaces using methods ofharmonic maps, discrete geometry
and random groups.

My research interests are in combinatorcs
DQGLWVFRQQHFWLRQZLWKRWKHU¿HOGVVXFKas algebra, representation theory, andintegrable systems.
More specific topics of interest are
related to Young diagrams, symmetricfunctions, alternating sign matrices,classical groups, etc.

NAYATANI, Shin

OKADA, Soichi
Keyword

KeywordMathematical biology andphysiology, Delayed stochastic
systems

Algebraic geometry, Algebraic
cycle

My research interest is in algebraic
geometry, especially in algebraic
cycles such as normal cones as key
ingredients of intersection theory inview of Chow bivariant intersection
theory and related topologicalinvariants such as vanishing cycles.

My interest lies in creating
mathematical models of various
physical, biological and social
phenomena. Systems with feedbacks
DQGLQWHUDFWLRQVXQGHUWKHLQÀXHQFH
RIQRLVHÀXFWXDWLRQVDQGGHOD\VDUH
of particular focus.

OHIRA, Toru

SAITO, Hiroshi
Keyword

Keyword

L2 extension theorem

Global analysis, Calculus ofvariations

There is a situation where the structureof an equation becomes simpler
if one makes a transformation byintroducing extra variables. The L2
extension theorem due to Takegoshi
and myself serves as an lemma inperforming such a strategy.

OHSAWA, Takeo

I am studying variational problems
which appear in geometry andmathematical physics. In particular,
I'm interested in problems which
do not result in solving differential
equations.

SASAHARA, Yasuhiro
Keyword

KeywordSymplectic geometry, Gauge
theory, Floer theory

Topology, Gauge theory

I study three and four dimensional
topology using gauge theory. This
theory has been developing withrelations to various fields. For
example, algebraic geometry, knot
theory and physics. The geometryof three and four dimensions is very
different from higher dimensions
and interesting.

Recently, I am mainly studying two
subjects: One is Floer cohomology
theory in symplectic geometry basedon certain homotopical algebra (socalled A-algebra), and the other is
to study some relationship between
singularity theory and symplectic/
contact geometry.

OHTA, Hiroshi

⁶

SASAHIRA, Hirofumi

Graduate School of Mathematics NAGOYA UNIVERSITY

Keyword

KeywordModular equation , π , Period

Commutative algebra,
Representation theory of algebras

I study special functions (hypregeometircfunctions, modular function e.t.c.),especially period relations and (iterative
DQGVHULHV DSSUR[LPDWLRQVWRʌ

SATO, Takeshi

TAKAHASHI, Ryo
Keyword

KeywordGeneral relativity, Cosmology,
Diﬀerential geometry

Geometric analysis, Differential
geometry

My research interests are black holespacetimes and cosmology based on
general relativity(GR). Motivatedby string theory, I am currently
studying higher dimensional GR
and anti-deSitter spacetime.

I study an isoperimetric problem
which describes the relation between
the volume and the perimater of a
set by geometric approaches.

SHIROMIZU, Tetsuya

TAKATSU, Asuka
Keyword

Keyword

Partial differential equations,
Fourier analysis

Analytic number theory, Zetafunction

I am studying various properties
of solutions to partial differential
equations by means of "estimates".
Fourier analysis is the main tool,
but it is also an important object ofstudy in itself.

From the point of view of themodular relation, I am trying to
generalize the functional equationsof the zeta functions and to apply
it to the study of arithmetical
functions. I am also interested in
multiple zeta functions.

SUGIMOTO, Mitsuru

SUZUKI, Hiroshi

I have been studying the boundary
between commutative algebra andrepresentation theory of algebras,that is, representation theory ofcommutative rings. The main purpose
LVWRXQGHUVWDQGWKHVWUXFWXUHRI¿QLWHO\generated modules over a commutative
noetherian ring.

TANIGAWA, Yoshio
Keyword

KeywordA l g e b r a i c n u m b e r t h e o r y,Capitulation problem

Partial differenial equations,
Fourier analysis, Fluid mechanics

When I calculate some groups,
Hamiltonian graphs, Schurpolynomials, etc., I feel that this is
not a number theory, and I sometimes
remember NaN.

I study incompressible Navier-Stokes
equations and its generalizations,which describe various fluid
phenomona. For the study of them,
Fourier, functional and stochastic
analysis are important and I am
interested in their study too.

TERASAWA, Yutaka

⁷Keyword

KeywordWell-posedness, Fourier restriction
norm, I-method

O p e r a t o r a l g e b r a , Te n s o r
category

I have interests in partial differential
equations. My current focus is on
the study of the Cauchy problem ofnonlinear dispersive equations byharmonic analysis.

Main interests are mathematicalstructures, which have origins in quantum
physics, such as representationsof quantum algebras, quantum
symmetries in operator algebras andquantum analysis in tensor categories.
5HODWHG¿HOGVLQIXQFWLRQDODQDO\VLVDUH
also in the research range.

TSUGAWA, Kotaro

YAMAGAMI, Shigeru
Keyword

KeywordGroup theory, Representation
theory, Geometry

Probability theory, Statisticalmechanics

Representation theory deals withsymmetries in vector spaces. It
is an extremely active field, with
FRQQHFWLRQVZLWKYDULRXV¿HOGVSXUH
and applied.

There are strict laws which govern
the "randomness". Attracted bythis paradox, I have decided to
specialize in probability theory. I
am mainly interested in researchsubjects related to statistical physics.

UZAWA, Tohru

YOSHIDA, Nobuo

Designated Associate Professor G30
Research Fileds

Research Fileds

cluster algebras and theircategoriﬁcations
representation theory of associative algebras
category theory

functional analysis
spectral and scattering theory
index theorems in scattering theory
Mourre theory
magnetic systems

PAPERS

PAPERS

L. Demonet: Categorification of skewsymmetrizable cluster algebras, Algebr.
Represent. Theory 14 (2011), no. 6, 1087–1162.

S. Richard, R. Tiedra de Aldecoa : Time delay is
a common feature of quantum scattering theory,
J. Math. Anal. Appl. 387 (2012), 618 – 630.

L. Demonet: Skew group algebras of path
algebras and preprojective algebras, J. Algebra
323 (2010), no. 4, 1052–1059.

J. Kellendonk, K. Pankrashkin, S. Richard :Levinson's theorem and higher degree traces for
Aharonov-Bohm operators,J. Math. Phys. 52(2011), 052102–1 – 052102–28.

L. Demonet: Cluster algebras and preprojective
algebras: the non-simply laced case, C. R. Math.
Acad. Sci. Paris 346 (2008), no. 7–8, 379–384.

Laurent Demonet

Personal web
http://math.unicaen.fr/~demonet/index-en.htm
Research Fileds
several complex variables
PAPERS
A.-K. Herbig: A sufficient condition for
subellipticity of the dbar-Neumann operator, J.
Funct. Anal., volume 242, 2007, 337–362.
J. E. Fornaess and A.-K. Herbig: A note on
SOXULVXEKDUPRQLFGH¿QLQJIXQFWLRQVLQ೐n, Math.
Ann., 342 (2008), no. 4, 749–772.
A.-K. Herbig and J. D. McNeal: A smoothingproperty of the Bergman projection, Math. Ann.,
volume 354, 2012, 427–449.
Personal web

Anne-Katrin Herbig
⁸

N/A

Serge Richard

M. Lein, M. Mantoiu, S. Richard : Magnetic
pseudodifferential operators with coefficientsin C*-algebras, Publ. RIMS, Kyoto Univ. 46(2010), 755 – 788.
Personal web
http://math.univ-lyon1.fr/homes-www/richard/

Graduate School of Mathematics NAGOYA UNIVERSITY

Message from Teaching Faculty

IYAMA, Osamu
From the fjord country
When I got off a connecting flight to Trondheim from
Copenhagen, I found my breath turning into a whitesmoke in the cold air. It reminded me that Norway
had low temperatures even in August. I often travel toTrondheim, Norway’s third largest city, for academic
purposes, and this was my fifth visit. Having justattended a summer conference in Poland, I thought
I already knew what the weather would be like in
1RUZD\,VKRXOGKDYHEURXJKWDORQJP\ZDUPHURXW¿WV
Thinking of what it would cost to buy an appropriate
jacket here, I sighed deeply again turning the air into asmoky vapor.
After leaving the airport, I enjoyed the beauty of the
Nidelva River on the way to the Norwegian Universityof Science and Technology (NTNU). I was looking
forward to seeing a familiar face in a certain officeon the eighth floor at the university. When I got to the
RI¿FHP\IDFHZDVZUHDWKHGLQVPLOHV'U5HLWHQDQG
I were delighted with this reunion. She was waiting
there with a spare sweater and scarf ready for me. WhatDZRQGHUIXOSHUVRQVKHLV,WZDVDVHULHVRISDSHUVWKDWProfessor Idun Reiten wrote during the 1970s that inspired
my own choice of research.
I am always relaxed when I chat with her in English,
because she has never pounced on my grammar mistakes.
I couldn’t wait to tell her the latest results of my research.
The details of the discoveries I had omitted in e-mails fromJapan I found easy to articulate here, face-to-face. I am
particularly grateful to her for showing genuine pleasure
LQP\¿QGLQJV6WXGHQWVFRPHWR1718IURPDOORYHUWKH
world. I believe her presence helps to explain why.
The main purpose of this particular visit was to complete
WKH¿QLDOGUDIWRIDSDSHUZHKDGFROODERUDWHGRQ,WUHTXLUHG
examining the contents minutely as the editing process
neared its end. Even a slight change can make the entire
article sound more sophisticated. We were also surprised to¿QGDIHZFRQÀLFWLQJVWDWHPHQWV,QWKHSURFHVVRIFKRRVLQJthe academic journals which to submit the paper, we spentdays discussing its contents. This also entailed exchanging
e-mails with a mathematician in the U.K., also a co-author.
,WWRRNWZREXV\ZHHNVIRUXVWRFRPSOHWHWKH¿QDOGUDIWI dined out with Professor Reiten the last day before my
departure for Japan. We ate our usual fare, a famous fish
soup. In the restaurant, I talked about topics my students inJapan are working on. She was cheerful, joking “Osamu,
you were born in the very same year in which Almost
Split Exact Sequence was discovered.” A memorial was
KHOGFHOHEUDWLQJWKHVL[W\¿IWKELUWKGD\RIWKLVVXUSULVLQJO\HQHUJHWLFZRPDQLQ0D\2QWKHÀLJKWEDFNWR-DSDQ
I found myself wondering how much further mathematics
will advance while she is still a working scholar. I returned
to Nagoya the following day to continue with my research,
revitalized by the days in Norway.

⁹

Education Programs

Original Program
Fostering Creativity in Mathematics
Level System and Educational Program
6WXGHQWVFDQSXUVXHDSXUSRVHFHQWHUHGHGXFDWLRQVXLWHGWRWKHLUDUHDRILQTXLU\DQGXQIHWWHUHGE\WKHLURI¿FLDOVFKRRO\HDU

Self-study / Research

Self
study

Research
Colloquium / Researcher's Seminar
Project

Academic
Support for
LearningandResearch:HHNO\2I¿FH+RXU&DIH'DYLG
Small Group
Instruction
LectureGraduate
Research

Exercise / Group Study
Level 0
U1

Level 1
U2

Small GroupClass

Small GroupClass

Level 2
U3

Department of Mathematics

U4

Level 3
M1

M2

Master Course

D1

D2

D3

Doctor Course

Level System
The Level System is our central mechanism for classifying programs of study into educational purposes, organizing bothundergraduate and graduate degree curriculums as a coherent whole. Thus, all lectures and small group classes fall into acertain level.
Level 0All science major students work together in the initial disciplinary phase of the art of science level 0 classes and learn
subjects including calculus and linear algebra.
Level 1
Level 1 classes deal with basic concepts, which all science-majored students need to comprehend. This level corresponds
to curricula for undergraduates in the second and third years. These classes encourage students to apply and connect
PDWKHPDWLFDOFRQFHSWVZLWKRWKHU¿HOGVRIVFLHQFHVXFKDVSK\VLFVDQGWRGHYHORSLQWXLWLYHORJLFDODQGDEVWUDFWWKLQNLQJ
Level 2The scope of level 2 classes embraces various areas of advanced concepts. These classes provide scholarly training in
logical, abstract and systematic approaches commonly used in mathematics through a wide diversity of subjects. This levelis intended for fourth year undergraduates and graduate students. It is advisable to complete the set of classes within two
years.
Level 3
Level 3 classes serve as advanced courses, and are designed based upon the elemental portions of the curriculum up to level2, the so-called core program. These are intended for all 2nd year or above graduate students and should be completed overthree or four years.

¹⁰Graduate School of Mathematics NAGOYA UNIVERSITY

Basic Principles
Emphasis on Basic Skills and Broad Minds
The Department of Mathematics and the Graduate School of Mathematics aim to cultivate self-motivated individuals, who can
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maintaining an enlightening environment for problem-conscious students where, together with scholars and fellow students,
WKH\FDQUH¿QHWKHLULGHDVDQGDSSO\ORJLFDOUHDVRQLQJLQVHHNLQJVROXWLRQVWRSUREOHPVProspective students should know that in the mathematics department:
・Research planning, pursuit of research and regular reporting of results are expected.
・The education in the department is designed to support students’ self-motivation.
・Research is pursued in dialogue with active researchers and fellow students.

Emphasis on Independent WillC

The aim of the doctoral program is to foster researchers with multiple talents in mathematical sciences who are also capable of
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in order that students enrich their knowledge by working together with younger researchers.
Mathematical scientists are not only those who work in a university or a laboratory but include those competent to solve
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your career options after graduation.

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Learning Mathematics at "Cafe David"
The idea of studying mathematics brings
images to mind of large lecture halls andrigorous self-study. These traditional
methods of study are indeed important,
but there are also dynamic alternatives.
One of those is to gather various
thinkers together to debate and discussmathematics. The photo is of our own
weekly event, “Cafe David”. Here,undergraduate students, graduate
students, and teaching faculty gather ina casual cafe meeting style, to chat overboth academic and less formal questions.
The well known mathematician often
said to represent the 20th century David Hilbert is whom we have named our “Cafe David” after. As the namesuggests, delicious coffee is on offer for department members in attendance. Discussions here allow many toovercome common barriers that exist between undergraduate and graduate students, or between students andfaculty, or among academic areas or schools, strengthening relationships and intellectual understanding at
the same time. In addition, graduate students join “Cafe David” as teaching assistants, offering a comfortable
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and students can learn from interaction in this active public learning space.
Wouldn’t you like to come and take a look at our diverse learning styles of mathematics?

¹¹

Education Programs

Undergraduate Program

Learning and Lecture Content
The following is a brief description of what is offered at Nagoya University for mathematics majors.

Level 0 (Freshmen)
You will learn differential calculus and linear algebra through examples and by working on exercises. These are the "rawmaterial" of modern mathematics. You will be asked to carry out explicit computations, which will give you access tocomputational skill, and will foster proper intuition for mathematical concepts. It is of utmost importance that you workthrough as many problems as possible, gaining exposure to mathematics.
Semester

LectureSmall Group Class

SummerCalculus of one variable/ Linear algebra/ Overview of mathematics

Seminar on mathematics

WinterCalculus of several variables/ Linear algebra/ Overview of mathematics

Seminar on mathematics

Level 1 (Sophomore)First differential calculus and linear algebra will be reworked rigorously in the language of modern mathematics –sets andmaps. Totally new concepts, such as complex function theory and topological spaces will enter the scene. The learning
curve is steep, and you will be required to put in a lot of effort and your patience will be taxed, but the reward will be high:an entrance ticket to modern mathematics.

¹²

Semester

LectureSmall Group Class

SummerSets and mappings/ Linear space and linear mappings/ Calculus of one variable

Seminar on mathematics

WinterCalculus of several variables/ Topological spaces/ Complex function theory
Normal forms of matrices/ Introduction to information sciences

Seminar on mathematics

Graduate School of Mathematics NAGOYA UNIVERSITY

Message from Foreign Student

Junghun Lee

Self-introduction
My name is Junghun Lee. I come from South Korea. I have been living in Japan since 2008 when I was anundergraduate student. Now I am a graduate student of mathematics of Nagoya University.
Daily Life
Here let me share a bit about my daily activities. I shall divide it into two parts, study and part- time work
activities.
Part-time WorkI am working as a research assistant at Nagoya University. The contents of the part-time work consist of taking some lectures, andwriting feedback about each of them to improve those lectures. For example, sometimes we take IELTS preparation class, participate insome kind of discussion, and take a lecture to be a global leader.
NagoyaThe location of Nagoya is in the middle of Japan. It is very convenient to go to other places in Japan. Indeed, many graduate students
need to either attend or to participate in many conferences, and they are held in many different places, such as Tokyo, Kyoto, or Osaka. I
think it is one of the merits that Nagoya is located in the middle of Japan.
Moreover, there are many dormitories available for international students in Nagoya. I am living in Nagoya International Student Centerfor 4 years. The staffs are very kind and helpful to me. It is quite far from Nagoya University, but I enjoy riding a bicycle to commute.
Don't worry, if you want to live around Nagoya University, you can also choose dormitories nearer to the university than mine.
Nagoya University
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listens and also gives advices during the seminar. If you want to join this class, you may ask for a permission to join to the teacher
in charge. Secondly, there are many books and articles in the library of Nagoya University. It is very helpful because we need many
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Finally, I would like to talk about the staffs. The staffs here are so kind and they help you as long as they can. Everyone can be a friend
to the staffs. They have many events for international students so that we can enjoy our campus life. Besides, they are really professionalin dealing with your problems such as finding financial supports, working as a teaching assistant or research assistant, looking fordormitory, etc.

Level 1 (Junior)
You will be introduced to mathematics that was developed in the early 20th century. Level 1 ends with the introduction of
the Lesbesgue integrals and its application to Fourier analysis, curves and surfaces which generalize circles and spheres,groups and rings that are algebraic abstraction of numbers, polynomials and maps. There will be "Omnibus lectures" on
how mathematics relates to the real world, and what lies ahead of all this, "group study" where you pick the text of yourchoice, discuss the content with your fellow students, give talks, and give a poster presentation.
Semester
Summer
WinterLectureIntroduction to group theory/ Introduction to curves and surfaces
Introduction to differential equations/ Lebesgue integrals and measure theory

Small Group Class

Rings and polynomials/ Introduction to differential forms
Introduction to functional analysis/ Omnibus lectures/ Group study

Group study

Seminar on mathematics

Level 2 (Senior)
Lectures for seniors at Level 2 are all open to seniors and graduate students. The subject matter of these lectures differ
by year. A partial list of courses offered in the past is given below. There are also numerous "intensive courses" , which
typically last for a week, designed to give an overview of research at the forefront. Courses at this level emphasizes thediversity and universality of mathematics that can only be appreciated by taking a higher viewpoint. You are not only
expected to learn from these courses, but also to develop your own viewpoint/taste for mathematics. Reading courses
under faculty supervision are offered, where you will learn how to read a book or a research article, how to formulate yourthoughts in a mathematical way, and how to discuss mathematics.
Semester

LectureSummerFields and Galois theory/ Manifolds/ Functional analysis/
Introduction to probability theory/ Introduction to mechanics/
Introduction to numerical analysis/ Omnibus lectures

WinterElliptic curves/ The heat kernel and the index theorem/
Introduction to partial differential equations/ Electromagnetic theory/
Methods in applied mathematics (offered in English)/
Functional programming languages

Small Group Class

Senior reading course¹³

Education Programs

Graduate Program for
0DVWHU·V'HJUHHFostering Scholars who Investigate, Think and Discover on their Own
The Graduate School of Mathematics aims to cultivate self-motivated individuals, who can
successfully navigate inquiry, reflection, and discovery based upon scholarly training inmathematics. Our commitment is to maintaining an enlightening environment for problemFRQVFLRXVVWXGHQWVZKHUHWRJHWKHUZLWKVFKRODUVDQGIHOORZVWXGHQWVWKH\FDQUH¿QHWKHLULGHDV
and apply logical reasoning in seeking solutions to problems.

Intensive Courses
Intensive courses are those conducted by lecturers from other universities or institutions,
intensively, over short periods of time. Content ranges widely from those of an introductory
nature, that require no prior technical knowledge at all, to those that focus more narrowly on the
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Geometry, Analysis to Applied Mathematics and Mathematical Physics covered, but lecturers
are brought in to offer various perspectives, including that of the corporate world and practical
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explained below, please see our graduate school’s web page.

Small Group Class
Small Group Class is a two-semester seminar intended to develop reading, critical thinking anddiscussion skills. In the seminar class students expand upon their learning from faculty lecturesand identify their specific focus of interest/ research from within areas presented in lectures.
Within the chosen subject area, classes offer multifaceted lectures guided by student interest.
The pace of the lectures is tailored to participating students’ needs. As seen from the chart above,
students can both improve their skills and explore their chosen field in the small group class.
Master's students will belong to a credit-earning seminar each year. At the same time they arestrongly advised to attend another seminar. Students who attend regularly and submit successful
assignments will be awarded at most 1 credit over 2 years in addition to the credits from otherclasses for which they are registered.
¹⁴Graduate School of Mathematics NAGOYA UNIVERSITY

Teaching Assistants (TA)7HDFKLQJDVVLVWDQWSRVLWLRQVDUH¿OOHGSULPDULO\E\¿UVW\HDUPDVWHU VVWXGHQWV7KH\DUHKLUHGWRDLGSURIHVVRUVZLWKOHFWXUHVDQGVHPLQDUVIRUXQGHUJUDGXDWHVWXGHQWVRI¿UVWVHFRQGDQGWKLUG
year in the science department, as well as others, and to assist with Cafe David. Duties of a TA
include designing and correcting class exercises, writing interpretations, and attending to all Q& A in and out of class. These duties offer graduate students an opportunity to join the backstageof university lectures. Experiencing lectures from the standpoint of a teacher allows TAs aninvaluable opportunity for their future, to learn now what it is to teach. In addition, as TA, one
can understand many of the typical problems that students repeat, as well as those of beginning
instructors and how to avoid them. Wages are paid to TAs, but many past TAs say that the realvalue in this assistant position is the opportunity to enhance one’s own learning and future
research.

Message from Foreign Student

Ade Irma Suriajaya

My name is Ade Irma Suriajaya, but people usually call me Chacha in Japan. I come fromIndonesia and now I am in my second year of master program in mathematics in Nagoya
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zeros of the derivatives of the Riemann zeta function and the Dirichlet L function [under
the supervision of Prof. Kohji Matsumoto].
I graduated from a university in China, and in my third year of undergraduate study, I got an opportunity for a
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I learned Japanese.
At that time, my major was Aeronautical Engineering, but since I was really interested in mathematics, I took
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Japanese, I took a mathematics class which was given in English. In the second semester, I took some classes
in mathematics which were given in Japanese. I was really impressed that the teachers I knew during that
period taught me who understood nothing about pure mathematics, very kindly and sincerely. Even when I
could not understand Japanese, they all explained well in English, and sometimes even let me ask in English
when I could not express my question in Japanese. There is also a space in the building where you can ask
any questions related to mathematics. There are some teachers and students there to help you, and it is open
everyday during the lunch break. I went there very often, and I found it really helpful for my study. To behonest, the atmosphere around helped and encouraged me so much to master Japanese that I became more andmore impressed.
I really felt in love to the study and research environment in the Graduate School of Mathematics of Nagoya
University and, of course, to the environment of Nagoya itself. Thanks to the exchange program, not only forgiving me the chance to study Japanese, but also for giving me a chance to know this place which attracted meVRPXFKWKDW,¿QDOO\GHFLGHGWRFKDQJHP\PDMRUWRPDWKHPDWLFVDQGDOVRWRUHWXUQWRWKH*UDGXDWH6FKRRO
of Mathematics of Nagoya University after my graduation in China. That is the reason why I am here rightnow. Here they have good facilities, such as the study space given to each graduate student, the seminar rooms,
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Besides scholarship for international students, they also employ students as teaching assistants and research
assistants. Here every student is also provided with some research allowance which we can use to attend
a symposium, conference, seminar, etc. either inside or outside Japan. There are still some other financial
supports also. Nagoya University itself provides Japanese courses and also some other foreign language
courses open to not only exchange students or any particular students, but, as I know, all students. These aresome few reasons why I do not regret my decision to return here.
3HRSOHVD\LWLVQRWHDV\WRDGDSWWRQHZHQYLURQPHQWDQGLWLVDOVRWKHVDPHDERXWPDMRU,IDFHGGLI¿FXOWLHV
WKH¿UVWWLPH,FDPHWR-DSDQDQG,IRXQGLWUHDOO\KDUGWREHDEOHWRSDFHXSZLWKP\SHHUVVLQFH,ODFNHGRI
understanding in basic (pure) mathematics. Especially, students of mathematics in Japan are required to doseminars since they were in their undergraduate studies. I did not do well in the beginning and there were somany things which were hard be understood. But many students, including seniors, and teachers around who
understood and helped me along the way. I believe that it also happened to the other students as well.
¹⁵

Education Programs

Graduate Program for
Doctoral Degree (Ph. D.)

Fostering the Next Generation of Young Scholars
The primary goal of our doctor course is to foster the next generation of young mathematicians. To understand the necessary
broad range of skills involved in mathematical sciences and be prepared to apply them appropriately to various problems. The
doctoral course in particular requires self-driven learning, including discovering problems on one’s own and building the skills
necessary to solve them. Sending our PhD holders equipped with these skills as competitive professionals out into society is
the ultimate goal.

Active Student Body
Our current doctoral students are involved in student organized seminars on campus, as well as the planning and organizing of
national academic conferences for young scholars. This is in addition to active independent research of their own.
We believe this combination of activities results in the high quality research output our department’s doctoral students
produce. Among other activities, Student Project receives strong support from our department, as well as from the Program for
Enhancing Systematic Education in Graduate Schools since 2007.
Student Project Titles of 2013

¹⁶

1

Mean Curvature Flow on Lagrangian Submanifolds

9

Study on Singularities of Positive Characteristic and Numerical Invariants

2

Topological Methods in Arithmetic Geometry

10

Study on Elliptic Equations and Geometry3

Categoriﬁcation Summer School

11

General Study of Arithmetic Fields

4

Crossover KLR

12Well-Posedness of Nonlinear Dispersive Equations and Asymptotic Behavior of Their Solutions

5

Peripheries of Constructive Mathematics

13

Multiple Zeta Functions and Their Peripheries

6

Generalized Index Problems Using K-groups of Operator Algebras

14

Asymptotically Anti-de Sitter Spaces and the Theory of Relativity

7

World of Zeta Functions

15

Young Mathematicians Workshop on Several Complex Variables 20138

The Bergman Kernel and its Applications to Geometry

16

Research about Cluster Categories and Triangulations of Surfaces

Graduate School of Mathematics NAGOYA UNIVERSITY

RA (Research Assistant)
Many doctoral students may be employed as research assistants (RA) to help them develop their research skills
and to provide opportunities for participation in various research groups in the Graduate School of Mathematics.
7KH5$V\VWHPKDVEHHQ¿QDQFLDOO\VXSSRUWHGE\WKH3URJUDPIRU(QKDQFLQJ6\VWHPDWLF(GXFDWLRQLQ*UDGXDWHSchools since 2007.
*UDQWVLQ$LGIRU6FLHQWL¿F5HVHDUFKDOVRKHOSVWRVXSSRUWGRFWRUDOVWXGHQWVDVUHVHDUFKVWXGHQWV7KHUHZHUHRAs in 2007, 14 in 2008, 12 in 2009, 9 in 2010, 12 in 2011, and 16 in 2012, 78 in total.

JSPS Fellows
This program was established by JSPS (Japan Society for the Promotion of Science) to assist promising and highly
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RIWZRWRWKUHH\HDUVZLWKPRQWKO\UHVHDUFKUHODWHGH[SHQVHVDQG*UDQWVLQ$LGIRU6FLHQWL¿F5HVHDUFK'HWDLOHG
information is provided at: http://www.jsps.go.jp/english/index.html

Interdisciplinary Research
Mathematics has historically influenced other fields,
and at the same time evolved itself, from the influenceof other research fields. Nowadays, working towards agoal of broad global exchange is not enough. Conducting
research with a vision beyond our own narrow fields isalso required. Our department makes a unique effort tostrive towards working with scholars of interdisciplinary
research, and also with the Graduate School ofInformation Science, in order to further this goal.

Message from Foreign Student

Gustavo Jasso Ahuja

I was born and raised in Mexico, where I got an undergraduate and a master's degree inMathematics. Coming to Nagoya to pursue a Ph.D. has proven to be wise decision since
the very beginning.
I am a member of a multicultural and very active research group, lead by Prof. Osamu
Iyama, with several visitors coming from within and outside Japan each semester.
Postdoctoral researchers have played an important role in my development as they are
generally available for discussions and happy to answer random mathematical questions. Moreover, I have
had the opportunity to attend several conferences each year, in Japan and in other countries. These conferences
have given me not only the chance to learn mathematics, but also to learn about the culture of the places I havevisited. All of this, combined with the free culture of the university, provides an ideal environment to develop
myself as a researcher. Also, the staff at the department is always prompt to solve any problems or questions
students may have in the university.
On a more personal note, life in Nagoya is quite enjoyable. While Nagoya is not famous for its tourist
attractions, as an industrial city it has everything one would expect to find in a major city. Also, Nagoya is
sufficiently close to Tokyo and the Osaka-Kobe-Kyoto metropolitan area which allows for visits during theholidays.
Overall, I can say that I have found the research atmosphere in Japan and particularly in Nagoya University
very welcoming, and thus can say that coming here is something one can hardly regret.

¹⁷

Tuition and Other Information
Tuition and Other Fees (as of April, 2013)
Student Status

Application（￥）Registration（￥）Tuition（￥）Degree-Seeking
Student（undergraduate）

17,000282,000

535,800 per year

Degree-Seeking
Student（graduate）

30,000282,000

535,800 per year

Research Student, Graduate
School Research Student

9,800

84,60029,700 per month

Special Audit Student, Graduate
School Special Audit Student−−

14,800 per credit

Special Research Student−−

29,700 per month

Traning Course in Japanese

9,800

43,50030,200 per month

Training Course in JapaneseLang．& Culture

9,800

84,60029,700 per monthfrom HANDBOOK for International Students 2011-2013, Nagoya University

Fee Exemptions
Independently-financed degree-seeking students, who demonstrate excellent academic records and are in need of financial
assistance, are eligible to be considered for exemptions from half or the entire tuition. However, as the possibility of obtaining
an exemption is small, it is advisable to prepare to pay the necessary fees. The application process for fee exemptions takes
place each semester. Applications for the spring semester are generally accepted from the end of February to March, and forthe fall semester, from the end of August to the middle of September. Please pay close attention to these deadlines. Students
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Scholarships
For information on the scholarships provided by The Japan Student Service Organization (JASSO), please visit the website:
http: //nupace.ecis.nagoya-u.ac.jp/en/life/jasso.html$VRI0D\1DJR\D8QLYHUVLW\LVFXUUHQWO\KRPHWRLQWHUQDWLRQDOVWXGHQWVRIWKHPLQGHSHQGHQWO\¿QDQFHG$YDULHW\RI¿QDQFLDOVXSSRUWLVDYDLODEOHWRWKHVHVWXGHQWV,QIRUPDWLRQDERXWVFKRODUVKLSVLVSRVWHGRQWKHVFKRROEXOOHWLQ
board. Students are advised to check the boards daily.

Japanese Language Programs
The Education Center for International Students, Nagoya University offers the following Japanese language courses.

1. University-Wide Japanese Language Programs(1) Standard Courses in Japanese/ Intensive Courses in Japanese(2) Online Japanese Courses(3) Kanji Course(4) Introductory Lectures in Japanese Studies

2. Special Japanese Programs
ECIS offers four types of Special Japanese Programs. Enrollment in these courses is limited.
(1) Intensive Program in Elementary Japanese(2) Intensive Program in Advanced Japanese(3) Japanese Language Classes for International Undergraduate Students(4) Introductory Program for Korean Engineering Students¹⁸Graduate School of Mathematics NAGOYA UNIVERSITY

Advising & Counseling Services (ACS)
http://www.isa.provost.nagoya-u.ac.jp/en/
ECIS (ACS Office) is a university-wide office to assist international students with issues or problems they may have. We
provide information and advices to international students about academic and personal matters, as well as cross-cultural
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XV:HZLOONHHSRXUGLVFXVVLRQVFRQ¿GHQWLDO
2I¿FH+RXUVDQG6WDII IURP$GYLVLQJ &RXQVHOLQJ6HUYLFHV1DJR\D8QLYHUVLW\ 
AdvisorMs. Kyoko TANAKA / International Student Advisor/ Director (Professor)

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Room742 West Wing, IB Building

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Tue

Mon

Thu

Fri

O
O

O
O

-

O

O
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10:00-12:00
13:00-16:00

Wed

AdvisorMs. Hitomi TAKAKI / International Student Advisor (Associate Professor)

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Room204 ECIS Building

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Mon

Tue

Wed

Thu

Fri

10:00-12:00
13:00-16:00

O
O

-

O
-

O
O

O
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AdvisorMs. Makiko TADOKORO / International Student Counselor (Associate Professor)

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Room740 West Wing, IB Building

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Mon

Tue

Wed

Thu

Fri

10:00-12:00
13:00-16:00

O
O

O
O

O
-

O
O

O
O

AdvisorMs. Naomi BANNO / International Student Counselor (Associate Professor)

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Room738 West Wing, IB Building

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Mon

Tue

Wed

Thu

Fri

10:00-12:00
13:00-16:00

O
O

O
O

O
O

autumn only
autumn onlyOO$&62I¿FH
From Monday to Friday: 10:00-12:00, 13:00-16:00
TEL : 052-788-6117 E-mail : isa@ecis.nagoya-u.ac.jp
Room739 West Wing, IB Building

Career Paths after Graduation
Undergraduate
Private Company
Researcher/ FacultyHigh School Teacher
Civil Servant
Graduate School
Research Student
OthersMaster's Course

Doctor's Course

2010

2011

2012

2010

2011

2012

2010

2011

2012

11
18
1
24
7
61

13
14
1
25
4
57

8
9
3
22
3
45

17
8
1
18
2
9
55

22
12
3
7
1
5
50

20
14
2
15
8
59

3
4
1
2
10

6
6

1
4
2
2
9

¹⁹

International Activities
International Conference by Graduate School of Mathematics, Nagoya University
Conference on Resolution of Singularities and the McKay Correspondence 2012
The Nagoya International Mathematical Conference is a meeting held at Graduate School of Mathematics of Nagoya
University every year since 2001. The title of the 2012 meeting was "Conference on Resolution of Singularities and the
McKay Correspondence." While there were two small meetings on the McKay correspondence held here before, thisconference in 2012 was much larger and there were a number of participants from different countries. The topics of the talks
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fruitful talks and discussions as well as Japanese foods and culture. Many of them were the JSPS researchers before and they
were also happy revisiting Japan.

Perspectives of Representation Theory of Algebras

2013

During November 11-15, 2013, our 13th annual International Nagoya Mathematical Conference titled "Perspectives ofrepresentation theory of algebras" was held on the occasion of 65th birthday of Professor Kunio Yamagata. We invited 10
main speakers who are distinguished founders of this area, and 10 plenary speakers who are working on related areas such as
cluster algebras, quantum groups, commutative algebras, algebraic geometry and mathematical physics. There were also shortpresentations by young researchers. There are 88 conference participants from Germany, United States, England, Poland,
Norway, China, Korea, Belgium and UAE, and this time, many young researchers including graduate students participates,
too. At the conference, representation theories such as quivers, Frobenius algebras, cluster algebras, derived categories,
Cohen-Macaulay modules, weighted projective lines were the central themes. Starting with the lecture by Professor I. Reiten
entitled, "Lattice structure of torsion classes" and ending with Professor C. M. Ringel's lecture "The root posets", a heateddiscussion drew in broad participation and debate among the many in attendance.

Past Conferences
2011（11th） Topology and Analysis of Foliation
2010（10th）2009（9th）²⁰

2006（6th）

Representation Theory of Algebraic Groups
2005（5th）and Quantum Groups’10
Harmonic Analysis and Partial Differential
2004（4th）
Equations2008（8th）

Combinatorics and Representation Theory

2003（3rd）

2007（7th）

Spectral Analysis in Geometry and Number 2002（2nd）Theory2001（1st）

Representation Theory of Algebraic Groups
and Quantum Groups’06
Geometric Quantization and Related
Complex Geometry
Complex Geometry and String Theory
Numbers, Symmetry and the Concept ofSpace -COE Opening ConferenceDiscrete Groups and Moduli
Automorphic Forms and p-Adic Groups

Graduate School of Mathematics NAGOYA UNIVERSITY

The Global 30 Project - Bringing Nagoya University to the WorldIn July 2009, the selection results of the 2009 Project for Establishing Core Universities forInternationalization (Global 30) were announced, with Nagoya University standing out as one of the
Global 30 leaders.
The objectives of Global 30 are to strengthen the international competitiveness of Japanese higher
education and to offer an education with standards that appeal to foreign students while, through creating
an environment where Japanese students work together with international students, fostering highly
educated individuals who can be active internationally. The project comprehensively supports a plan tocreate universities that act as bases for internationalization by providing both the high level of education
expected from universities and environments that make studying in Japan more accessible for overseas
students.
To lead Japan's universities toward internationalization, Nagoya University must transform itself into a"university of the world". This means building a new environment in which Japanese and international
students work side by side. In this way, the high standards of undergraduate and graduate education
Nagoya University has achieved will be more widely accessible to students from overseas, and the
University will be able to educate individuals with the ability to interact on the world stage.
For more information, see
http://admissions.g30.nagoya-u.ac.jp/en/index.php

Mathematics without Borders
Mathematics has no borders. No matter what nationality they are, mathematicians around the world strive
each day through their research to progress the development of mathematics. Among them there arealways researchers out there somewhere pursuing answers to the same problems. Therefore, it can be said
that the exchange of information regarding research is extremely important. In order to exchange this up
to date information our school works hard to promote and offer various conferences, intensive courses,
seminars and workshops. In this vein, we established formal academic alliances with Korean Institute forAdvanced Study (KIAS), Paris 7 Denis Diderot University, etc. With them we have conducted cooperative
research workshops and the exchange of graduate students as research assistants.

Message from Recent Graduate

Yanyan Wang

Yanyan Wang, Major in complex analysis, Faculty of The Graduate School of Mathematics.

I went to Nagoya University of Japan for my doctoral degree after I had obtained
my master's degree in China in October 2008. I had been dreading my trip because
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know what would happen after I arrived in Japan. I embarked on my road with anapprehensive mood.
In fact, there was nothing to worry about. I had got much help from my professors, classmates and
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in the four years when I was there. It was challenging for me at the beginning. I still remember
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I had understood the original question better and how to answer it. I always remember the face andYRLFHRIWKHSURIHVVRULQWKHVH\HDUV(YHQQRZZKHQ,PHHWDGLI¿FXOW\LQP\UHVHDUFK,UHFDOOWKH
moment and it helps me think about how to solve my problems.
The four years in Japan was a memorable experience. There are also many kinds of cultural activities
involving international students, where I learned Japanese better and had a lot of fun.

²¹

Academic Cooperation Programs
Our Graduate School has several academic exchange programs shared with worldwide institutions to promoteand develop cooperation in the field of mathematical sciences through the following activities:
Exchange of faculty and students.
Exchange of publications and other academic materials.
Bilateral symposia and workshops.
Meetings to improve mutual research and educational programs.
Mutual student managed projects.
Here is the list of institutions in cooperation agreement as of May 2012:
Department of Mathematics, Nanjing University since 2012.
Department of Mathematical Sciences, Seoul National University since 2012.
Faculty of Mathematics, Ruhr Universität Bochum since 2011.
Université Paris 7 - Denis Diderot since 2004.
The Korean Institute for Advanced Study (KIAS) since 2004.

Signing Ceremony with Nanjing University
March 2, 2012

Signing Ceremony with Seoul National University
February 9, 2012

Mathematicians Shouldering Tradition
Kosaku Yoshida, Nagoya U. (1942-53), Osaka U., Tokyo U.
He created the theory of operator semigroups. His celebrated
textbook "Functional Analysis" is read all over the world.

Masayoshi Nagata, Nagoya U. (1950-53), Kyoto U.
He did famous work on the theory of commutative rings andthe foundation of algebraic geometry.

Tadashi Nakayama, Nagoya U. (1942-64), Osaka U.
He is one of the members at the foundation of our department.
He is famous for his studies on the modular representation
theory of symmetric groups and noncommutative rings.

Tomio Kubota, Nagoya U. (1952-93), graduate of Nagoya U.
He created the theory of p-adic zeta-functions with Leopoldt.

Kiyoshi Ito, Nagoya U. (1942-52), Kyoto U.
He is famous for his formula on stochastic differential
equations, which is applied to mathematical finance. He
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Masatake Kuranishi, Nagoya U. (1949-63), Columbia U.,
graduate of Nagoya U.
He did decisive work on the deformation theory of complex
structures.

²²

Masaki Kashiwara, Nagoya U. (1974-77), Kyoto U.
He did decisive work on the theory of D-modules and its
application to representation theory.
Kazuhiko Aomoto, Nagoya U. (1978-2001).
He created the theory of multi-variable hypergeometricfunctions, independently of Gelfand.
Shigefumi Mori, Nagoya U. (1980-90), Kyoto U.
He completed the classification theory of three-dimensional
algebraic varieties. He received the Fields Medal in 1990.

Graduate School of Mathematics NAGOYA UNIVERSITY

International Lounge“International Lounge” is now open, which is a room especially designed for international exchange activities of various
kinds. For example, we have been holding activities for international students that provide opportunities to socialize withfellow students. We also organize events where participants are encouraged to present their views in languages other than theirnative language. We are committed to continue offering various activities that foster chances to talk to new people, promotedeeper understanding of Japanese culture, and allow students to experience different cultures. Through these events, we hopeto help the members of our community to appreciate each other’s languages, cultures, and values, and to respect each other’sviewpoints.

²³

Support for Education and Research
Science Library
A fully developed library is a quintessential element in providing quality
mathematics education, and thus our Science Library has served us well as the“face” of our department. The library houses over 100,000 volumes related toMathematical science and more than 1,600 kinds of periodicals, 90% of which are
published overseas. One of our highlights is the Hilbert Collection, where copies
of nearly 10,000 academic papers that the greatest mathematician, David Hilbert(1862-1943), had owned. It has become a valuable resource for research. Booksof reference including textbooks are found in the student reference section inorder to promote easy access to facilities for students. Online search catalogs are
fully equiped for easy access to books and electronic journals, and librarians offer
support to users seeking further information.

Computers and Networks
Electronic journals and e-mail are part of the modern indispensable tool ofcomputer networking for researchers of mathematical science. Computerlaboratories are located in Graduate School of Mathematics Building (2rooms) and in Science Building A (1 room). All PCs are connected to theintra-campus network (NICE), which offers reliable high-speed access to
the Internet. This computer network environment corresponds to the needsof both graduate students and faculty for exchanging various scholastic
information. Our department is committed to enhancing our information
technology environment as a research tool not only as a scaffold of numericalanalysis and information science, but also for theoretical development byinstalling various mathematical software.

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research grants (Grants-in-Aid for Scientific Research) and student aid toattend workshops, and manages study rooms and locker keys. In assisting
department activities the office edits mathematical journals, publishes
information in the form of brochures and updates web sites, prepares to holdinternational conference, such as Nagoya International Conference, and hosts
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prompt service responding to department needs, with a friendly atmosphere as
their motto.
²⁴Graduate School of Mathematics NAGOYA UNIVERSITY

Nagoya Mathematical Journal
Known as a comprehensive academic journal for mathematics,
Nagoya Mathematical Journal (NMJ) has long been highly
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department in June of 1950. All back numbers are available
as electronic archives, and can be accessed through a databasecalled Project Euclid by the library of Cornell University.
While reviewing many creative mathematical papers submitted
to the journal from around the world, editing committees
make an elaborate effort to maintain its scholastic quality. We¿UPO\EHOLHYHWKDWWKHDFDGHPLFYDOXHRI10-GHSHQGVRQWKH
advanced level of mathematics with which our department
deals. We are proud of NMJ as proof of the depth of its history
and its excellence shown by mathematicians in Nagoya.
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The Administration Office of our department supports faculty and students by maintaining campus facilities, purchasing
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students, helping them to focus on their business within a comfortable campus, doing its best to offer speedy and accurate
service.

²⁵

NAGOYA UNIVERSITY

Graduate School of Mathematics
Department of Mathematics, School of Science
NAGOYA UNIVERSITY
Chikusa-ku, Nagoya 464-8602 JAPAN TEL +81 (052) 789-2833 FAX +81 (052) 789-5397

http://www.math.nagoya-u.ac.jp/en/index.html