GUC26S1111C | Group Theory and Its Applications

After obtaining my PhD from the University of Tokyo, I worked as an assistant at Tokyo Metropolitan University and an associate professor at Nagoya University. Since 2017, I have been a professor at the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo. During this period, I also stayed at institutions such as the University of Mannheim, the Institute for Advanced Study in Princeton, and the Newton Institute, actively engaging in education and research. In 2001, I received the Special Prize of the Takebe Prize from the Mathematical Society of Japan.

Prof. Yukari ITO

1	Subject	Group, Geometry and Arts
2	Field	Mathematics, Art
3	Key words	Group, Geometry, Ikebana
4	Global Unit	1
5	Lecturer	Yukari ITO
6	Period	June 15 - 19, 2026
7	Time	08:30-10:00, 10:30-12:00 (Japan Standard Time)
8	Lecture style	In-person (on Hongo Campus)
9	Evaluation Criteria	Excellent (S) 90–100%; Very good (A) 80–89%; Good (B) 70–79%; Pass (C) 60–69%; Fail (D) 0–59%
10	Evaluation methods	Attendance/Participation 50%, Final Report 50%
11	Prerequisites	It is on Mathematics and some applications to Art. I would like to assume basic knowledge of linear algebra. Moreover, I hope you are also interested in art activities.
12	Contents	Purpose Students who successfully complete this course will be able to understand the definition of a group and its easy properties with some examples. Moreover, they will make their own artwork or application in the class. Description The main part of this course is a lecture and exercise in person. I hope we can do discussions, group activities and presentations. Schedule 1-2 Definition of a group and some examples. 3-4 Basic properties of groups. 5-6 Find symmetry with group theory! 7-8 Group representations 9-10 Make your own group! Assignments 90-minute lectures and 90-minute activities for 5 days. The activities include mathematical exercises, presentations and artwork.
13	Required readings	-
14	Reference readings	You can find the mathematical knowledge in any textbook on group theory.
15	Notes on Taking the Course	-

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UTokyo Global Unit Courses (GUC)
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International Education Promotion Group, Education and Student Support Department
The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8652 JAPAN

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