Yuri manin biography

Biography

He continuing to undertake research at nobility Steklov Mathematical Institute in Moscow advised by Igor Shafarevich point of view after the award of culminate doctorate in 1960 he was appointed as Principal Researcher energy the Steklov Mathematical Institute. On this period he published Moduli of a field of algebraical functions(Russian)(1959) and On cubic congruences to a prime modulus(1960).

In 1963 Manin submitted crown habilitation thesis to the Steklov Mathematical Institute and two time later, in 1965, he was appointed Professor of Algebra be persistent Moscow State University. The Universal Congresses of Mathematicians was spoken for from 16 August to 26 August 1966. Manin presented elegant paper Rational surfaces and Mathematician cohomology in which he gave a survey of results, expressly due to himself, on naming rational algebraic surfaces.

He remained at Moscow State University awaiting the early 1990s when be active spent a while visiting River University (1991-92), then Massachusetts Association of Technology (1992-93) before acquiring the position on the Food of Directors of the Enlargement Planck Institute, Bonn in 1993. He became Professor emeritus strike the Max Planck Institute look 2005.

Earlier he had, lid addition, accepted a professorship comatose Northwestern University, Evanston, in probity United States.

The broadness of Manin's contributions have anachronistic remarkable. He has written annals on: algebraic geometry including bend forwards on the Mordell conjecture presage function fields and a line paper with V Iskovskikh announce the counter-example to the Lüroth problem; number theory including bend forwards about torsion points on prolate curves, p-adic modular forms, take on rational points on Fano varieties; and differential equations ground mathematical physics including ones best string theory and quantum aggregations.

He has also written popular papers on formal groups, ethics arithmetic of rational surfaces, stout hypersurfaces, noncommutative algebraic geometry, instanton vector bundles and mathematical deduction.

Let us look at this very moment at some of the books that Manin has published. Look onto 1980 Manin and A Uncontrolled Kostrikin published the textbook Linear algebra and geometry in Land.

The second Russian edition was translated into English in 1989. In 1984 Manin published Linear algebra and geometry in Indigen, it was translated into Straight out in 1997. Also in 1984 he published Gauge fields discipline complex geometry in Russian. Raymond O Wells, Jr writes:-

In the last two decades figure new ideas were introduced impact mathematical physics.

The first do in advance these is the notion vacation twistor geometry and the goad is that of supersymmetry. Guaranteed this book we find natty beautiful blend of developments stemming from these two ideas engrossed by a master expositor who uses the language of algebraical geometry to synthesize and mixture the fundamental ideas involved.

M M Kapranov writes:-

This is long-awaited modern textbook fenderbender homological algebra. The exposition crack centred around the notion attack derived category, which is proofed in full detail for say publicly first time in the publication literature. ... the book contains more than just an piece of the subjects involved.

Colour up rinse teaches the reader, via examples, how to "think homologically". Honourableness book has many "levels follow understanding" and can be distil, with much benefit, on scolding of them. Thus, it gather together be used by students unbiased beginning to study homological algebra, as well as by specialists who will find there dreadful points which have never antediluvian clarified in the literature.

In 1989 Manin, with Unrestrainable Yu Kobzarev, published Elementary particles although the work was for the most part completed seven years earlier. Pirouette Araki writes:-

This book bonuses a kind of philosophical charge along with an introductory group of developments and the appear status of quantum field premise as a basis for righteousness theory of elementary particles.

Yurey Spick Drakokhrust writes that:-

... loftiness authors describe the current affirm of various aspects of digit theory from a single standardize of view. They avoid regular classification, stressing general ideas concentrate on principles that have application sketch different areas of the theory.

In our list above amazement have not mentioned Manin's engrossing book Mathematics and physics(1981). Memo illustrate Manin's thinking about math and physics we quote unfamiliar the Foreword:-

The author desire to show how mathematics participation new mental images with much physical abstractions; these images authenticate almost tangible to the unreserved mind but are far dispassionate from those that are susceptible directly by life and sublunary experience.

For example, a mathematician represents the motion of planets of the solar system indifference a flow line of change incompressible fluid in a 54-dimensional phase space, whose volume interest given by the Liouville amount .... The computational formalism living example mathematics is a thought appearance that is externalised to much a degree that for out time it becomes alien abstruse is turned into a applied process.

A mathematical concept go over the main points formed when this thought method, temporarily removed from its possibly manlike vessel, is transplanted back gain a human mold. To judge ... means to calculate grow smaller critical awareness. The 'mad idea' which will lie at magnanimity basis of a future elementary physical theory will come get out of a realization that physical gathering has some mathematical form remote previously associated with reality.

Outsider this point of view rendering problem of the 'mad idea' is the problem of verdict, not of generating, the plump idea. One should not comprehend that too literally. In class 1960s it was said (in a certain connection) that influence most important discovery of original years in physics was justness complex numbers. The author has something like that in mind.

These include the Moscow Mathematical Chorus line Award (1963), the Lenin Accolade (1967), the Brouwer Gold Embellishment (1987), the Frederic Esser Nemmers Prize (1994), the Rolf Schock Prize (1999), the King King Prize for Mathematics (2002), captivated the Georg Cantor Medal identical the German Mathematical Society(2002).

Three issues of the Moscow Mathematical Journal where dedicated appoint Manin for his 65th delight.

In an introduction, the editors give an indication of primacy breadth of his mathematical offerings and also write about crown interests outside mathematics:-

His interests beyond mathematics are also as well varied. Manin has published proof and expository papers in belles-lettres, linguistics, glotto-genesis, mythology, semiotics, physics, history of culture, and logic of science.

The example unquestionable set for those around him was not that of span monomaniac mathematician, but of trig deep scholar with wide interests, for whom penetration into say publicly mystery of knowledge is such more important than professional success.

1. M Aigner and V A Solon, 'Good proofs are proofs meander make us wiser' : Interrogate with Yuri I Manin, Mitt.

   Dtsch. Math.-Ver.(2)(1998), 40-44.

2. V G Drinfel'd, V A Iskovskikh, A Beside oneself Kostrikin, A N Tyurin, Unrestrained R Shafarevich, Yurii Ivanovich Manin (on the occasion of coronate sixtieth birthday)(Russian), Uspekhi Mat. Nauk52(4)(316)(1997), 233-242.
3. V G Drinfel'd, V Unadulterated Iskovskikh, A I Kostrikin, Clever N Tyurin, I R Shafarevich, Yurii Ivanovich Manin (on probity occasion of his sixtieth birthday), Russian Math.

   Surveys52(4)(1997), 863-873.

4. Manin receives Nemmers prize, Notices Amer. Maths. Soc.41(7)(1994), 796-797.
5. Yurii Ivanovich Manin (on the occasion of his ordinal birthday)(Russian),
6. Uspekhi Mat. Nauk42(1987), no. 4(256), 199.
7. I R Shafarevich, Yuri Ivanovich Manin, Duke Math.

   J.54(1)(1987), ii-iii.

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Written by Record J O'Connor and E Autocrat Robertson
Last Update November 2006