Mark Iosifovich Vishik and His Work (Part 3)

By Bernold Fiedler, Free University of Berlin, Germany
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Mark Iosifovich Vishik and His Work:
Award Ceremony of the Honorary Doctorate
at the Free University of Berlin

Bernold Fiedler (ed.)
Institut für Mathematik I, Freie Universität Berlin
Arnimallee 2-6, 14195 Berlin, Germany

My Teacher Mark Iosifovich Vishik

Mikhail Shubin
Mikhail Shubin
Misha Shubin

Among the speakers at this ceremony I am the only one who represents Moscow mathematicians, and the only one representing Professor Vishik's former Ph.D. students. This places a heavy burden on my shoulders. It is even heavier due to the fact that I have to speak in English, a language which "was not sung at my cradle", as I can repeat after Hermann Weyl. I ought to be objective, and yet this is clearly impossible. I have no choice except making it personal.

I first met Professor Vishik 37 years ago. As far as I remember, this was actually the year when Professor Vishik started working at the Department of Mechanics and Mathematics (abbreviated in Russian as Mekhmat) of the Moscow State University. He came there by invitation of I. G. Petrovskii, at that time the President of the University.

I was then a 19 years old 4th year undergraduate student at Mekhmat. I had already submitted my first paper for publication, but had not found my place in mathematics yet.

Starting from the third year of undergraduate study every student was required to have a scientific advisor. Unlike most, I acquired my first scientific advisor in my second year. At the time of my first meeting with Professor Vishik, I was working with my third advisor, and still unhappy academically. This was certainly not because there was something wrong with my advisors as mathematicians; it is just that I did not feel good around them. It is possible that my past life in the provincial Russian city Samara developed an inferiority complex in me and I could not overcome it. So I was afraid even to think of approaching superstars which were quite numerous at Mekhmat of those days. But Professor Vishik (also a superstar, of course, but not behaving like one) immediately attracted me. I liked talking to him, I felt at home in his apartment where I started coming quite often. (I felt good there and enjoyed the wonderful lunches and dinners prepared by Asya Moiseevna, Professor Vishik's wife.) I became Professor Vishik's student almost immediately and remained with him forever, always enjoying his company and his wonderful Partial Differential Equations seminar.

I am trying to figure out what are the most important things Professor Vishik taught me. Of course he taught me wonderful mathematics, but we already heard a lot about his mathematics these days. But it was not only mathematics.

One of the things which made an impression on me even then, when I was an undergraduate student, was how he explained us what the standards should be. It should not be the guy next door to you, not even a member of the USSR Academy (which was the absolute top in the Russian formal academic hierarchy), but the best people worldwide, be it in École Polytechnique, Courant Institute of Mathematical Sciences or any other place. Seems like an obvious idea, doesn't it? But it certainly did not look so obvious back then. The quality of scientific work was not directly rewarded at that time in the USSR. A certain other activity was rewarded directly and much better. Fortunately, I do not know of any students of Professor Vishik who were involved in this other activity. Maybe the ones involved knew better not to choose Mark Iosifovich as their advisor?

Here is another of Professor Vishik's advices which I remember very well. In the time of trouble and difficulties which often depressed me, he used to say: 'One has to live long'. This meant that bad times will pass and good ones will certainly come if you live long enough to see them. These words were definitely prophetic. But now I am happy that Mark Iosifovich himself is with us to see good times. I am happy that he did not change much in the 37 years that I know him. He is in a great shape, and I am happy to congratulate him today to his Honorary Doctorate. I wish him and Asya Moiseevna good health, and I wish him new scientific triumphs for many more years to come. I wish that he will always enjoy life. In particular, I hope that he will celebrate his 100th birthday with us. He has no choice since we enjoy his company and need him, and he was always a man of duty.


Continue reading with the personal greetings of Eberhard Zeidler.

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