[2] He received his PhD from Leningrad University in 1974; his thesis was titled Projective modules over polynomial rings.
[3] In 1976 he and Daniel Quillen independently proved Serre's conjecture about the triviality of algebraic vector bundles on affine space.
In 1982 he and Alexander Merkurjev proved the Merkurjev–Suslin theorem on the norm residue homomorphism in Milnor K2-theory, with applications to the Brauer group.
He was awarded the Frank Nelson Cole Prize in Algebra in 2000 by the American Mathematical Society for his work on motivic cohomology.
[4] In 2010 special issues of Journal of K-theory[5] and of Documenta Mathematica [6] have been published in honour of his 60th birthday.