Mathematician:Yuri Ivanovitch Manin

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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


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


Sources