砂田 利一
スナダ トシカズ (Sunada Toshikazu)
更新日: 05/29
基本情報
 所属
 明治大学 総合数理学部 専任教授
 学位

理学博士(東京大学)理学修士(東京大学)
 研究者番号
 20022741
 JGLOBAL ID
 200901026956780346
(Excerpt from the survey article "An Overview of Sunada's work" written by A. Katsuda and P. W. Sy)
Professor Toshikazu Sunada was born in Tokyo, Japan, on September 7, 1948, three years after the end of World War II. He dwelled and grew up in the suburb of Tokyo until the age of twentyfive. Sunada described himself in his childhood as an ordinary boy, somewhat introverted and showing no particular interest in any subjects taught in primary and junior high schools. According to his reminiscence, he sat absentmindedly all day long during class hours. He even confessed that arithmetic was then his instinctive dislike.
His zest for mathematics arose when he was a high school student and had a chance to read "History of Modern Mathematics" written by Takagi Teiji, a Japanese luminary who established the class field theory, a culmination of algebraic number theory. The book, including a vivid description of the lives of Gauss, Abel, and Galois together with the development of the theory of elliptic functions, was so fascinating that it led him to the ambition of becoming a mathematician. Since he had thought of himself as a literatureoriented person at that time, this was a major turning point in his life.
He thus decided to study mathematics and entered Tokyo Institute of Technology (TIT), which had a department of mathematics of moderate size. However, soon after his admission to the university (1968), his study was disrupted by student riot, a movement sweeping over universities around the world. During this period, classes were cancelled and the campus was locked out. Interested students of the mathematics department voluntarily requested their teachers to organize seminars outside the campus. The subjects they took up then were vector bundles and complex multiplications; topics which were not covered in the regular lectures for undergraduate courses. The enthusiasm for mathematics that the teachers demonstrated as well as their selfless effort to impart knowledge even in this extraordinary period has left a lasting impression on the mind of the young Sunada. This experience made him more ambitious to become a professional mathematician. When Sunada was in his senior year, his supervisor was Prof. Koji Shiga, who conducted one of the seminars mentioned above and is now Sunada's lifelong friend.
After his undergraduate studies, he was admitted to the graduate school of the University of Tokyo (UT) and soon began his research under the supervision of Prof. Mikio Ise. The most decisive moment for his future career came when he defended his master's thesis which consists of three different subjects in front of an examination committee. Since the time allocated for presentation to each student was short, he had to choose one out of the three subjects. Prof. Kunihiko Kodaira, a Fields Medal laureate, asked Sunada to explain in detail the other two subjects as well, even though his time was already up. Moreover, Kodaira made valuable comments to each subject. This happening was a big boost to Sunada's confidence in pursuing his dream.
Just after receiving his master's degree from UT in 1974, he was appointed as a research associate at Nagoya University (NU) where he was to stay for the next 15 years. This stay has made his dream to become a mathematician comes true. In 1977, he received his doctorate degree by submitting a dissertation to UT. In 197980, he was invited as a guest researcher at Bonn University. He says that the twoyears stay in Bonn was the most fruitful time in his life. During this period, he made the aqcuaintance of many active young mathematicians, and published a series of excellent papers. And it was also during this period that his geometric model of number theory was conceived.
After his return to NU, he was promoted to associate professor in 1982. In 1985, he gave a beautiful construction of isospectral manifolds based on his geometric model of number theory. For this important contribution, he was subsequently awarded the Iyanaga Prize by the Mathematical Society of Japan in 1987.
Sunada became a full professor at NU in 1988. Three years after, he was appointed professor at UT (19911993) and thereafter, at Tohoku University (TU, 19932003) before he has finally settled down at Meiji University in 2003. Currently he is also professor emeritus of TU, a position held since 2003, and is affiliated with the newlyestablished Meiji Institute for Advanced Study of Mathematical Sciences in Tokyo. It is a rare case in Japan that a full professor transfers frequently from one university to another since there is almost no difference in the financial status.
The motivation for his frequent movement was to seek better research environment. He frankly says "UT, one of the most prestigious universities in Japan, was worst in my experience as far as the human relation is concerned". In the meanwhile, Sunada stayed for six months (1988) in Institut Hautes Etudes Scientifiques (IHES) as a guest professor, for a few months in Isaac Newton Institute at Cambridge as an organizer of a special project (2007), and for seven months in Max Planck Institute in Bonn (2008) as a visiting professor. In 2008, he held an Andrejewski Lecturership at Humboldt University in Berlin under the auspices of the Walter and Eva Andrejewski Foundation as a distinguished scholar. He also stayed in Mathematical Sciences Research Institute (MSRI) in Berkeley, Johns Hopkins University, Augsburg University, Institut Henri Poincar´e (IHP), Tata Institute of Fundamental Research, Institut MittagLeffler, the Academy of Science in Beijing, National University of Singapore, and the University of the Philippines for short periods. His first stay in the Philippines (1986), which was the most exciting moment in all of his travels (where he has witnessed the peaceful People Power Revolution in Manila), was the beginning of his active involvement in the Southeast Asia regional mathematical activities.
Sunada gave an invited lecture at the International Congress of Mathematicians (ICM) in Kyoto in 1990, at the Third Asian Mathematical Conference (AMC) in Manila in 2000, and at the LMS South West and South Wales Regional Meeting in Cardiff, UK in 2007, to name a few. He was invited to numerous other international conferences and symposia as a keynote speaker.
His activities are not limited to teaching and research. He was chosen a member of the Kyoto Prize Selection Committee for three terms (1989, 1994, 2002) in the past 20 years. In 2008, he was appointed a panel member of the European Research Council, an organization set up to promote outstanding, frontier research in all areas of science and humanities throughout Europe.
His other services to the mathematics community include his twoterm board membership of the Mathematical Society of Japan and the membership of the IMUCDE committee where he served for two consecutive terms. Moreover, he helped in the organization of several major conferences, including the celebrated Taniguchi Symposia, held in Asia as a member of steering, scientific or advisory committee.
Besides his many research publications, Sunada has written a number of mathematics books for the general public as well as textbooks for undergraduate and graduate students (most of which are in Japanese) and enlightening essays which appeared in Sugaku Seminar (Mathematics Seminar) and other mathematical magazines. He has also been involved in the publication of several series of mathematical books, journals, and proceedings as an editor. Sunada is at present a member of the Editorial Board of a popular Japanese mathematical magazine, Have Fun with Mathematics, published by KameShobo.
Although Sunada usually portrays himself as a geometer, we realize from his list of publications, that it is difficult to single out his specialization. In fact, Sunada's work covers complex analytic geometry, spectral geometry, dynamical systems, probability, and graph theory. Through his work, we would describe him as an extraordinary and talented man with enormous insight and technical power who is constantly generating new ideas and methods to form exciting and remarkable mathematical results.
Professor Toshikazu Sunada was born in Tokyo, Japan, on September 7, 1948, three years after the end of World War II. He dwelled and grew up in the suburb of Tokyo until the age of twentyfive. Sunada described himself in his childhood as an ordinary boy, somewhat introverted and showing no particular interest in any subjects taught in primary and junior high schools. According to his reminiscence, he sat absentmindedly all day long during class hours. He even confessed that arithmetic was then his instinctive dislike.
His zest for mathematics arose when he was a high school student and had a chance to read "History of Modern Mathematics" written by Takagi Teiji, a Japanese luminary who established the class field theory, a culmination of algebraic number theory. The book, including a vivid description of the lives of Gauss, Abel, and Galois together with the development of the theory of elliptic functions, was so fascinating that it led him to the ambition of becoming a mathematician. Since he had thought of himself as a literatureoriented person at that time, this was a major turning point in his life.
He thus decided to study mathematics and entered Tokyo Institute of Technology (TIT), which had a department of mathematics of moderate size. However, soon after his admission to the university (1968), his study was disrupted by student riot, a movement sweeping over universities around the world. During this period, classes were cancelled and the campus was locked out. Interested students of the mathematics department voluntarily requested their teachers to organize seminars outside the campus. The subjects they took up then were vector bundles and complex multiplications; topics which were not covered in the regular lectures for undergraduate courses. The enthusiasm for mathematics that the teachers demonstrated as well as their selfless effort to impart knowledge even in this extraordinary period has left a lasting impression on the mind of the young Sunada. This experience made him more ambitious to become a professional mathematician. When Sunada was in his senior year, his supervisor was Prof. Koji Shiga, who conducted one of the seminars mentioned above and is now Sunada's lifelong friend.
After his undergraduate studies, he was admitted to the graduate school of the University of Tokyo (UT) and soon began his research under the supervision of Prof. Mikio Ise. The most decisive moment for his future career came when he defended his master's thesis which consists of three different subjects in front of an examination committee. Since the time allocated for presentation to each student was short, he had to choose one out of the three subjects. Prof. Kunihiko Kodaira, a Fields Medal laureate, asked Sunada to explain in detail the other two subjects as well, even though his time was already up. Moreover, Kodaira made valuable comments to each subject. This happening was a big boost to Sunada's confidence in pursuing his dream.
Just after receiving his master's degree from UT in 1974, he was appointed as a research associate at Nagoya University (NU) where he was to stay for the next 15 years. This stay has made his dream to become a mathematician comes true. In 1977, he received his doctorate degree by submitting a dissertation to UT. In 197980, he was invited as a guest researcher at Bonn University. He says that the twoyears stay in Bonn was the most fruitful time in his life. During this period, he made the aqcuaintance of many active young mathematicians, and published a series of excellent papers. And it was also during this period that his geometric model of number theory was conceived.
After his return to NU, he was promoted to associate professor in 1982. In 1985, he gave a beautiful construction of isospectral manifolds based on his geometric model of number theory. For this important contribution, he was subsequently awarded the Iyanaga Prize by the Mathematical Society of Japan in 1987.
Sunada became a full professor at NU in 1988. Three years after, he was appointed professor at UT (19911993) and thereafter, at Tohoku University (TU, 19932003) before he has finally settled down at Meiji University in 2003. Currently he is also professor emeritus of TU, a position held since 2003, and is affiliated with the newlyestablished Meiji Institute for Advanced Study of Mathematical Sciences in Tokyo. It is a rare case in Japan that a full professor transfers frequently from one university to another since there is almost no difference in the financial status.
The motivation for his frequent movement was to seek better research environment. He frankly says "UT, one of the most prestigious universities in Japan, was worst in my experience as far as the human relation is concerned". In the meanwhile, Sunada stayed for six months (1988) in Institut Hautes Etudes Scientifiques (IHES) as a guest professor, for a few months in Isaac Newton Institute at Cambridge as an organizer of a special project (2007), and for seven months in Max Planck Institute in Bonn (2008) as a visiting professor. In 2008, he held an Andrejewski Lecturership at Humboldt University in Berlin under the auspices of the Walter and Eva Andrejewski Foundation as a distinguished scholar. He also stayed in Mathematical Sciences Research Institute (MSRI) in Berkeley, Johns Hopkins University, Augsburg University, Institut Henri Poincar´e (IHP), Tata Institute of Fundamental Research, Institut MittagLeffler, the Academy of Science in Beijing, National University of Singapore, and the University of the Philippines for short periods. His first stay in the Philippines (1986), which was the most exciting moment in all of his travels (where he has witnessed the peaceful People Power Revolution in Manila), was the beginning of his active involvement in the Southeast Asia regional mathematical activities.
Sunada gave an invited lecture at the International Congress of Mathematicians (ICM) in Kyoto in 1990, at the Third Asian Mathematical Conference (AMC) in Manila in 2000, and at the LMS South West and South Wales Regional Meeting in Cardiff, UK in 2007, to name a few. He was invited to numerous other international conferences and symposia as a keynote speaker.
His activities are not limited to teaching and research. He was chosen a member of the Kyoto Prize Selection Committee for three terms (1989, 1994, 2002) in the past 20 years. In 2008, he was appointed a panel member of the European Research Council, an organization set up to promote outstanding, frontier research in all areas of science and humanities throughout Europe.
His other services to the mathematics community include his twoterm board membership of the Mathematical Society of Japan and the membership of the IMUCDE committee where he served for two consecutive terms. Moreover, he helped in the organization of several major conferences, including the celebrated Taniguchi Symposia, held in Asia as a member of steering, scientific or advisory committee.
Besides his many research publications, Sunada has written a number of mathematics books for the general public as well as textbooks for undergraduate and graduate students (most of which are in Japanese) and enlightening essays which appeared in Sugaku Seminar (Mathematics Seminar) and other mathematical magazines. He has also been involved in the publication of several series of mathematical books, journals, and proceedings as an editor. Sunada is at present a member of the Editorial Board of a popular Japanese mathematical magazine, Have Fun with Mathematics, published by KameShobo.
Although Sunada usually portrays himself as a geometer, we realize from his list of publications, that it is difficult to single out his specialization. In fact, Sunada's work covers complex analytic geometry, spectral geometry, dynamical systems, probability, and graph theory. Through his work, we would describe him as an extraordinary and talented man with enormous insight and technical power who is constantly generating new ideas and methods to form exciting and remarkable mathematical results.
研究キーワード
6経歴
24
2013年4月  現在

2013年4月  現在

2012年4月  現在

2011年4月  現在

2003年  現在
学歴
2
 1974年3月

 1972年3月
委員歴
12
2017年4月  現在

2017年4月  現在
受賞
4
2018年4月

2017年4月

2013年3月
論文
128
朝日新聞 WEBRONZA 2018年10月

2017年11月

現代思想 2017年3月

Proceedings for the conference "Geometry in History" 2017年2月 査読有り 招待有り

数理科学 644 2017年2月
書籍等出版物
46
東京図書 2017年10月

Springer 2017年

朝倉書店 2015年12月

明治大学出版会 2014年12月

サイエンス社 2014年
講演・口頭発表等
37
The 100th Encounter between mathematicians and theoretical physicists, "Geometry, Mathematics and Physics" 2017年9月8日 招待有り

The "Curvatures of Graphs, Simplicial Complexes and Metric Spaces" Workshop 2017年3月13日 招待有り

Workshop on Discrete Analysis 2016年8月13日 School of Mathematical Sciences, Fudan University 招待有り

3rd Kyoto UniversityInamori Foundation Joint Kyoto Prize Symposium 2016年7月10日 Kyoto University and Inamori Foundation 招待有り

Random and other ergodic problems 2015年6月22日 招待有り
Works(作品等)
5
2015年7月 その他

2013年 その他

2010年11月 その他

1996年 その他

1994年 その他
共同研究・競争的資金等の研究課題
49
文部科学省 基盤研究(A)

文部科学省 基盤研究 (B)

文部科学省 基盤研究 (B)

文部科学省 基盤研究 (C)