Yuri Ivanovitch Manin (born 1937) is a Russian-born mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics.

He was born in Simferopol. He gained a doctorate in 1960 at the Steklov Mathematics Institute as a student of Igor Shafarevich.

He is now a Professor and Directior of the Max-Planck-Institut in Bonn, and a professor at Northwestern University.

His early work included papers on the arithmetic and formal groups of abelian varieties, the Mordell conjecture in the function field case, and algebraic differential equations . The Gauss-Manin connection is a basic ingredient of the study of cohomology in families of algebraic varieties. He wrote an influential book on cubic surfaces and cubic forms , showing how to apply both classical and contemporary methods of algebraic geometry, as well as nonassociative algebra . He also indicated the role of the Brauer group, via Grothendieck's theory of global Azumaya algebras , in accounting for obstructions to the Hasse principle, setting off a generation of further work.

He has also written on Yang-Mills theory and mirror symmetry.

He was awarded the Schock Prize in 1999 and the Cantor Medal in 2002.

See also: Manin-Mumford conjecture .