# Mathematician:Yuri Ivanovitch Manin

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## Contents

## Mathematician

Russian-born mathematician, known for work in algebraic geometry and diophantine geometry.

Also known for the colossal breadth of published works.

## Nationality

Russian / German

## History

- Born: February 16, 1937, Simferopol, Crimea (then part of the Soviet Union)

## Theorems and Definitions

- Brauer-Manin Obstruction (with Richard Dagobert Brauer)
- Gauss-Manin Connection (with Carl Friedrich Gauss)

## Publications

- 1958:
*On cubic congruences to a prime modulus* - 1959:
*Moduli of a field of algebraic functions* - 1960:
*On cubic congruences to a prime modulus* - 1966:
*Rational points of algebraic curves over function fields* - 1966:
*Rational surfaces and Galois cohomology* - 1965:
*Algebraic topology of algebraic varieties* - 1972:
*Cubic forms: Algebra, Geometry, Arithmetics* - 1977:
*A Course in Mathematical Logic* - 1978:
*Modular forms and Number Theory* - 1979:
*The provable and the unprovable* - 1980:
*Computable and noncomputable* - 1981:
*Mathematics and physics* - 1984:
*New dimensions in geometry* - 1984:
*Gauge Fields and Complex Geometry* - 1988:
*Quantum groups and non commutative geometry* - 1988:
*Methods of Homological Algebra*(with Sergei I. Gelfand) - 1989:
*Homological Algebra*(with Sergei I. Gelfand) - 1989:
*Linear Algebra and Geometry*(with Alexei Ivanovich Kostrikin) - 1989:
*Elementary Particles: Mathematics, Physics and Philosophy*(with Igor Yur'evich Kobzarev) - 1990:
*Introduction to Number theory*(with Alexei A. Panchishkin) - 1991:
*Topics in non-commutative geometry* - 1991:
*3-dimensional hyperbolic geometry as infinite-adic Arakelov geometry* - 1999:
*Frobenius manifolds, quantum cohomology, and moduli spaces* - 1999:
*Classical computing, quantum computing and Shor´s factoring algorithm* - 2000:
*Moduli, Motives, Mirrors* - 2002:
*Von Zahlen und Figuren* - 2002:
*Holography principle and arithmetic of algebraic curves*(with Mathilde Marcolli) - 2010:
*A Course in Mathematical Logic for Mathematicians, 2nd ed.*(with Boris Zilber)

## Also known as

His name in Russian is **Ю́рий Ива́нович Ма́нин**