Vladimir Voevodsky

Research.com Recognitions

• 2003 - Member of the European Academy of Sciences
• 2002 - Fields Medal of International Mathematical Union (IMU) He defined and developed motivic cohomology and the A1-homotopy theory of algebraic varieties; he proved the Milnor conjectures on the K-theory of fields.
• 1997 - Fellow of Alfred P. Sloan Foundation

Overview

Best Publications

• $A^1$-homotopy theory of schemes

  Fabien Morel;Vladimir Voevodsky

  1386
  Citations

• Motivic cohomology with $\mathbf {Z}/2$-coefficients

  Vladimir Voevodsky

  528
  Citations

• Lecture Notes on Motivic cohomology

  Carlo Mazza;Vladimir Voevodsky;Charles A. Weibel

  479
  Citations

• Reduced power operations in motivic cohomology

  Vladimir Voevodsky

  448
  Citations

• Singular homology of abstract algebraic varieties.

  Andrei Suslin;Vladimir Voevodsky

  411
  Citations

• On motivic cohomology with Z/l-coefficients

  Vladimir Voevodsky

  381
  Citations

• Cycles, transfers and motivic homology theories

  Vladimir Voevodsky;A. A Suslin;E. M. Friedlander

  355
  Citations

• Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients

  Andrei Suslin;Vladimir Voevodsky

  303
  Citations

• An exact sequence for $K_st^M/2$ with applications to quadratic forms

  Dmitri Orlov;Alexander Vishik;Vladimir Voevodsky

  283
  Citations

• Motivic cohomology groups are isomorphic to higher chow groups in any characteristic

  Vladimir Voevodsky

  245
  Citations

• Triangulated categories of motives over a field

  V. Voevodsky

  237
  Citations

• Homology of schemes

  V. Voevodsky

  195
  Citations

• An exact sequence for Milnor's K-theory with applications to quadratic forms

  Dmitry Orlov;Alexander Vishik;Vladimir Voevodsky

  168
  Citations

• Drawing Curves Over Number Fields

  G. B. Shabat;V. A. Voevodsky

  153
  Citations

• Homotopy theory of simplicial sheaves in completely decomposable topologies

  Vladimir Voevodsky

  141
  Citations

• A nilpotence theorem for cycles algebraically equivalent to zero

  V. Voevodsky

  141
  Citations

• THE SIMPLICIAL MODEL OF UNIVALENT FOUNDATIONS

  Krzysztof Kapulkin;Peter Lefanu Lumsdaine;Vladimir Voevodsky

  131
  Citations

• Motivic Eilenberg-MacLane spaces

  Vladimir Voevodsky

  113
  Citations

• Braided monoidal 2-categories and Manin-Schechtman higher braid groups

  M. Kapranov;V. Voevodsky

  106
  Citations

• Relative cycles and Chow sheaves

  Andrei Suslin;V. Voevodsky

  103
  Citations

• Unstable motivic homotopy categories in Nisnevich and cdh-topologies

  Vladimir Voevodsky

  100
  Citations

• Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)

  M. M. Kapranov;V. A. Voevodsky

  95
  Citations

• 3. Cohomological Theory of Presheaves with Transfers

  Unknown

  69
  Citations