## The Laureates

Vladimir Voevodsky has worked in many areas of mathematics. His earlier work was related to the ideas introduced by Alexander Grothendieck in his famous manuscript “Esquisse d’un Programme”, in particular to “Dessin d’enfant”, anabelian algebraic geometry and $\infty$-groupoids as models for homotopy types. From 1990 to 2009 most of Voevodsky’s work was related to the development of motivic homotopy theory. This development was in part guided and motivated by the conjectures of Beilinson and Lichtenbaum addressing the properties of hypothetical (at that time) “motivic cohomology”. In 1995 Voevodsky found a proof of Milnor’s Conjecture – a particular case of Beilinson-Lichtenbaum Conjectures on motivic cohomology with finite coefficients which earned him a Fields Medal in 2002. It took him about 12 years, from 1997 to 2009, to work out the details of the proof of the general Beilinson-Lichtenbaum Conjectures for finite coefficients which was published in Annals of Mathematics in 2011.