Mathematician:Yuri Ivanovitch Manin

Russian-born mathematician (Ю́рий Ива́нович Ма́нин) is a 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)

Books and Papers

 * 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:
 * 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 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: (with Boris Zilber)