Mathematician:Yuri Ivanovitch Manin

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

Sources

• John J. O'Connor and Edmund F. Robertson: "Yuri Ivanovitch Manin": MacTutor History of Mathematics archive