This is my suggested followup to this question, which I thought resulted in some very worthwhile summaries. Now that we know the Fields Medalists and the other prizewinners, it would be nice for anybody who feels qualified to give a brief overview of the work (or aspects of the work) of one of them. The ICM has already posted brief overviews, but I would like to see the work presented in more detail or from another perspective.

For reference, the Fields Medalists are Elon Lindenstrauss, Ngo Bao ChauNgô Bảo Châu, Stanislav Smirnov and Cedric Villani. The other prizewinners are Daniel Spielman (Nevanlinna Prize), Yves Meyer (Gauss Prize) and Louis Nirenberg (Chern Medal). Congratulations to all of them!

This is my suggested followup to this question, which I thought resulted in some very worthwhile summaries. Now that we know the Fields Medalists and the other prizewinners, it would be nice for anybody who feels qualified to give a brief overview of the work (or aspects of the work) of one of them. The ICM has already posted brief overviews, but I would like to see the work presented in more detail or from another perspective.

For reference, the Fields Medalists are Elon Lindenstrauss, Ngo Bao Chau, Stanislav Smirnov and Cedric Villani. The other prizewinners are Daniel Spielman (Nevanlinna Prize), Yves Meyer (Gauss Prize) and Louis Nirenberg (Chern Medal). Congratulations to all of them!