An exact sequence for K_∗^M∕2 with applications to quadratic forms

Algebraic cobordisms of a Pfister quadric

“…Using the induced long exact sequence of motivic cohomologies and the arguments from the paper [9], we can prove…”

Multiples of Trace Forms and Algebras with Involution

“…The following has been conjectured by Milnor, and proved by Voevodsky (see also Orlov-Vishik-Voevodsky [13]- [19], and the survey paper [10]) :…”

Book Review: Introduction to quadratic forms over fields

“…However, in the following few years, Voevodsky developed new tools, in particular motivic cohomology, that made it possible to prove Milnor's conjecture (cf. [14], [23], [24], [13], see also the surveys [7], [16]). In 2002 Voevodsky received the Fields Medal for this work.…”