Vladimir Voevodsky

Владимир Воеводский (who published in English as Vladimir Voevodsky) was a Russian mathematician working in the Institute for Advanced Study.

Voevodsky received a Fields medal in 2002 for a proof of the Milnor conjecture. The proof crucially uses A1-homotopy theory and motivic cohomology developed by Voevodsky for this purpose. In further development of this in 2009 Voevodsky announced a proof of the Bloch-Kato conjecture.

After this work in algebraic geometry, cohomology and homotopy theory Voevodsky turned to the foundations of mathematics and worked on homotopy type theory which he described as a new “univalent foundations” for modern mathematics with its emphasis on homotopy theory and higher category theory.



  • An interview is here.

  • The transcript of another interview (in Russian) is available at: (part 1) and (part 2)

  • Le bifurcation de Vladimir Voevodsky, interview conducted by Fondation Sciences Mathématiques de Paris, 2014, video, transcript in French.

category: people

Last revised on October 5, 2017 at 04:31:58. See the history of this page for a list of all contributions to it.