[Shiota = blue sweater, Krakow 2004]
At the end of 60s, a student appeared to my office, where I was an assistant of the Department of Mathematics of Kyoto University since 1966. His name is Masahiro Shiota (塩田昌弘). He introduced himself as reading Malgrange’s book "Ideals of Differentiable Functions" to complete graduation thesis. He was a student of Shigetake Matsuura a professor of differential equations. Masahiro was aware of my interest to that book.
Excuse me to speak about myself a little. At that time I was belonging to the group of functional analysis leaded by Hiroaki Yoshizawa. However, I could not fix my theme. A young Senior associate Michihiko Matsuda suggested me to read Niels Henrik Abel, Henri Poincaré, Carl Ludwig Siegel and Ludwig Schledinger, for example. I could not understand any of them and I gave up understanding established theory. Anyway, we are belonging to seminars of analysis.
I restarted by elementary calculus, in particular Taylor expansion.
After stupid wandering, I found Malgrange's book. It explains algebraic treatment of smooth functions using ring theory but not using big machinery. Still I could not finish that book. Malgrange’s proof of Preparation theorem in C∞ category is complicated. (Later I understood it by Mather's proof.) I was astonished by the fact Masahiro finished the book in a few month. Later he finished Hironaka's ``Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I, II'' which is called ``phone book" because of its thickness.
He earned a master's degree at Research Institute of Mathematical Science of Kyoto University (RIMS, 京都大学数理解析研究所) and was taken in there as an assistant. He is a quite honest and ``politically correct” person. Furthermore, he has a strong heart: ``I have never been a loser in fights in my younger days”. So he didn’t hesitate to criticize aloud the professors on a corridor of his institute.
On the other hand he is very sensitive. When we are young, it is usual to sleep in a large room with TATAMI together at the occasions of workshops. Those were cheap YADOYA, Japanese inns. (It is important to secure a corner of the room to sleep peacefully.) One time, I was neighbouring to his HUTON. When I opened my eyes before the dawn, he is not sleeping. I asked him ``Always?” He answered ``Always in these situation”.
I belong to no seminar at the first stage of an assistant. He talked to me ``the information is very important for study. We had better to attend the Seminar on Differential Topology presided by Professor Masahisa Adachi. I hesitated because I am very bad at topology. Fortunately Adachi liked C∞ category and welcomed us. In that seminar we met our reliable friend Satoshi Koike and an active undergraduate Goo Ishikawa and many other persons, Hideki Imanishi, Kazuhiko Hukui, Toru Morimoto, etc. We learned that the most important motto of Adachi Seminar is ``Mathematics should be open. We should knock on doors of unknown rooms. We should never close our door”. I think we, Japanese researchers of topological singularity theory, develop this Geist.
Masahiro read many many books. He got a degree at Rennes University, perhaps under the direction of René Thom. As you know, he has studied real geometry using deep parts of topology, algebraic geometry, complex geometry and logic. I think, his primary motive is ``What is the shape of a set defined by mathematical languages” in a consistent way. Of course he wrote many journal papers and books. In particular, I know the following:
Nash Manifolds (Lecture Notes in Mathematics) 1987, Springer
Geometry of Sub analytic and Semialgebraic Sets (Progress in Mathematics) 1997, Springer
I was often impressed by the fact that he is a quite unbiased person. He does not like to praise some established schools. He praises naive originality of someone's work even if it seems as trifles. His measure is the amount of labors to acquire it. Indeed his papers are heavy for me.
In usual life, however, he cuts off unnecessary things. He goes abroad with very small bag. In my youth, there is no computer game. We usually played GO, SHOGI and MAH-JONG. Nevertheless, Masahiro plays nothing. Someone asked him "Why do you not play games?'' He answered ''I play the most exciting game, Mathematics, every day.''
Later, Shuichi Izumiya came to Kwansai from Hokkaido with the name very confusing with mine. He organized the Singularity Seminar in Nara Women's University. Early members included Masahiro Shiota, Satoshi Koike, Mitsutaka Murayama, Takashi Matsuoka, Isao Nakai, Goo Ishikawa, Sachiko Saito (Matsuoka), Yoshida, Shuichi Izumiya, Masato Tsujii, Nobutada Nakanishi and myself. I am oldest but last to write papers. Indeed they are my teachers and I learned much from them. In particular, I asked many questions to Masahiro.
The seminar included men of alcohol. Many of them drank several big mugs of beer after seminar. I was not a simple person only in such occasion. There was similar seminar in Tokyo Institute of Technology presided by Takuo Fukuda. They are even with us with respect to alcohol. Thus we are called ``horrible Real”. (Correctly, ``Real” should be replaced by ``topological singularity theory”.)
Masahiro, however, is free from alcohol and cigar. (That is why I have few photography of him.) Cigar was very popular at that time. Once he attempted to add coffee into his taste. Soon he said "I give up challenging coffee, after one week trial''. He hates chewing gum. ``It completely consists of synthetic compositions”. He and his wife Yasuko are eager to produce organic vegetables by themselves. For this purpose, they intended to buy extensive field in the city part of Tokyo after retirement. We persuaded him that it was a quite difficult plan unless he had a big heritage. They gave up and bought field in Nagoya city and they were successful to produce safe vegetables. They are very pure persons.
Since Shuichi Izumiya and Goo Ishikawa have gone to Hokkaido University, we continued the seminar by the name of ``Kwansai Seminar on Differential analysis” in Kindai University. Toshizumi Fukui and Tomohiro Kawakami joined. Topological singularity group in Japan became big one. In addition to members of topological singularity group of Japan, many mathematician of various branches visited our seminar, for example Malgrange, Tougeron, Milman, Broglia, Coste-Roy, Paunescu, Kurudyka, Parshinski, Madden, Bochnak, Kucharz, Bekka, Orro, Khovanskii, Gabrielov. The connections of Masahiro and Satoshi worked well for these invitations of foreigners. The seminar is often held in Nagoya because Masahiro and Toshizumi Fukui found positions in universities in Nagoya at that time.
The Kobe Singularity Seminar held in this place inherits and develops the themes of Kwansai seminar. It is preceded by Satoshi of Hyogo University of Teacher Education.
Masahiro has some avocations (YOGI in Japanese). In particular, he has sharp insight in medical facts. He had always a problem on his stomach due to hard study. Recently he found that his time was left only two or three years. As far as I know, he tried to complete two papers, a joint manuscript with Michel Cost and the last manuscript which is used in the joint one. By this tough effort, I guess, the time limit came sooner than expected. The last touch to his manuscript is dated 14 January, 2018, only two days before his death. It was just the day previous to his talk in Nagoya University. I asked his wife and was trusted the last manuscript with help of Kazuko Ozaki, an office member of Nagoya University.
Seemingly paper was not completed and seems very difficult ? always the case of Masahiro. After consult with Satoshi Koike and Toshizumi Fukui. We have sent it to Michel Coste. I heard from him that he and Goulwen Fichou will make effort to complete it together with the joint paper with Michel. We consider that they are the best for this very difficult task.
talk by Shuzo Izumi (泉 脩藏) at:
Real Algebraic Geometry and Singularity Theory Symposium
--- Memorial Conference for Masahiro Shiota ---
(Kobe Harborland Campus of Hyogo University of Teacher Education, Sept. 2018)
At the end of 60s, a student appeared to my office, where I was an assistant of the Department of Mathematics of Kyoto University since 1966. His name is Masahiro Shiota (塩田昌弘). He introduced himself as reading Malgrange’s book "Ideals of Differentiable Functions" to complete graduation thesis. He was a student of Shigetake Matsuura a professor of differential equations. Masahiro was aware of my interest to that book.
Excuse me to speak about myself a little. At that time I was belonging to the group of functional analysis leaded by Hiroaki Yoshizawa. However, I could not fix my theme. A young Senior associate Michihiko Matsuda suggested me to read Niels Henrik Abel, Henri Poincaré, Carl Ludwig Siegel and Ludwig Schledinger, for example. I could not understand any of them and I gave up understanding established theory. Anyway, we are belonging to seminars of analysis.
I restarted by elementary calculus, in particular Taylor expansion.
After stupid wandering, I found Malgrange's book. It explains algebraic treatment of smooth functions using ring theory but not using big machinery. Still I could not finish that book. Malgrange’s proof of Preparation theorem in C∞ category is complicated. (Later I understood it by Mather's proof.) I was astonished by the fact Masahiro finished the book in a few month. Later he finished Hironaka's ``Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I, II'' which is called ``phone book" because of its thickness.
He earned a master's degree at Research Institute of Mathematical Science of Kyoto University (RIMS, 京都大学数理解析研究所) and was taken in there as an assistant. He is a quite honest and ``politically correct” person. Furthermore, he has a strong heart: ``I have never been a loser in fights in my younger days”. So he didn’t hesitate to criticize aloud the professors on a corridor of his institute.
On the other hand he is very sensitive. When we are young, it is usual to sleep in a large room with TATAMI together at the occasions of workshops. Those were cheap YADOYA, Japanese inns. (It is important to secure a corner of the room to sleep peacefully.) One time, I was neighbouring to his HUTON. When I opened my eyes before the dawn, he is not sleeping. I asked him ``Always?” He answered ``Always in these situation”.
I belong to no seminar at the first stage of an assistant. He talked to me ``the information is very important for study. We had better to attend the Seminar on Differential Topology presided by Professor Masahisa Adachi. I hesitated because I am very bad at topology. Fortunately Adachi liked C∞ category and welcomed us. In that seminar we met our reliable friend Satoshi Koike and an active undergraduate Goo Ishikawa and many other persons, Hideki Imanishi, Kazuhiko Hukui, Toru Morimoto, etc. We learned that the most important motto of Adachi Seminar is ``Mathematics should be open. We should knock on doors of unknown rooms. We should never close our door”. I think we, Japanese researchers of topological singularity theory, develop this Geist.
Masahiro read many many books. He got a degree at Rennes University, perhaps under the direction of René Thom. As you know, he has studied real geometry using deep parts of topology, algebraic geometry, complex geometry and logic. I think, his primary motive is ``What is the shape of a set defined by mathematical languages” in a consistent way. Of course he wrote many journal papers and books. In particular, I know the following:
Nash Manifolds (Lecture Notes in Mathematics) 1987, Springer
Geometry of Sub analytic and Semialgebraic Sets (Progress in Mathematics) 1997, Springer
I was often impressed by the fact that he is a quite unbiased person. He does not like to praise some established schools. He praises naive originality of someone's work even if it seems as trifles. His measure is the amount of labors to acquire it. Indeed his papers are heavy for me.
In usual life, however, he cuts off unnecessary things. He goes abroad with very small bag. In my youth, there is no computer game. We usually played GO, SHOGI and MAH-JONG. Nevertheless, Masahiro plays nothing. Someone asked him "Why do you not play games?'' He answered ''I play the most exciting game, Mathematics, every day.''
Later, Shuichi Izumiya came to Kwansai from Hokkaido with the name very confusing with mine. He organized the Singularity Seminar in Nara Women's University. Early members included Masahiro Shiota, Satoshi Koike, Mitsutaka Murayama, Takashi Matsuoka, Isao Nakai, Goo Ishikawa, Sachiko Saito (Matsuoka), Yoshida, Shuichi Izumiya, Masato Tsujii, Nobutada Nakanishi and myself. I am oldest but last to write papers. Indeed they are my teachers and I learned much from them. In particular, I asked many questions to Masahiro.
The seminar included men of alcohol. Many of them drank several big mugs of beer after seminar. I was not a simple person only in such occasion. There was similar seminar in Tokyo Institute of Technology presided by Takuo Fukuda. They are even with us with respect to alcohol. Thus we are called ``horrible Real”. (Correctly, ``Real” should be replaced by ``topological singularity theory”.)
Masahiro, however, is free from alcohol and cigar. (That is why I have few photography of him.) Cigar was very popular at that time. Once he attempted to add coffee into his taste. Soon he said "I give up challenging coffee, after one week trial''. He hates chewing gum. ``It completely consists of synthetic compositions”. He and his wife Yasuko are eager to produce organic vegetables by themselves. For this purpose, they intended to buy extensive field in the city part of Tokyo after retirement. We persuaded him that it was a quite difficult plan unless he had a big heritage. They gave up and bought field in Nagoya city and they were successful to produce safe vegetables. They are very pure persons.
Since Shuichi Izumiya and Goo Ishikawa have gone to Hokkaido University, we continued the seminar by the name of ``Kwansai Seminar on Differential analysis” in Kindai University. Toshizumi Fukui and Tomohiro Kawakami joined. Topological singularity group in Japan became big one. In addition to members of topological singularity group of Japan, many mathematician of various branches visited our seminar, for example Malgrange, Tougeron, Milman, Broglia, Coste-Roy, Paunescu, Kurudyka, Parshinski, Madden, Bochnak, Kucharz, Bekka, Orro, Khovanskii, Gabrielov. The connections of Masahiro and Satoshi worked well for these invitations of foreigners. The seminar is often held in Nagoya because Masahiro and Toshizumi Fukui found positions in universities in Nagoya at that time.
The Kobe Singularity Seminar held in this place inherits and develops the themes of Kwansai seminar. It is preceded by Satoshi of Hyogo University of Teacher Education.
Masahiro has some avocations (YOGI in Japanese). In particular, he has sharp insight in medical facts. He had always a problem on his stomach due to hard study. Recently he found that his time was left only two or three years. As far as I know, he tried to complete two papers, a joint manuscript with Michel Cost and the last manuscript which is used in the joint one. By this tough effort, I guess, the time limit came sooner than expected. The last touch to his manuscript is dated 14 January, 2018, only two days before his death. It was just the day previous to his talk in Nagoya University. I asked his wife and was trusted the last manuscript with help of Kazuko Ozaki, an office member of Nagoya University.
Seemingly paper was not completed and seems very difficult ? always the case of Masahiro. After consult with Satoshi Koike and Toshizumi Fukui. We have sent it to Michel Coste. I heard from him that he and Goulwen Fichou will make effort to complete it together with the joint paper with Michel. We consider that they are the best for this very difficult task.
talk by Shuzo Izumi (泉 脩藏) at:
Real Algebraic Geometry and Singularity Theory Symposium
--- Memorial Conference for Masahiro Shiota ---
(Kobe Harborland Campus of Hyogo University of Teacher Education, Sept. 2018)
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