Vladimir Voevodsky

Vladimir Voevodsky's AcademicInfluence.com Rankings

Vladimir Voevodsky

Mathematics

#87

World Rank

#242

Historical Rank

#33

USA Rank

Measure Theory

#2902

World Rank

#3449

Historical Rank

#839

USA Rank

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Mathematics

Why Is Vladimir Voevodsky Influential?

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According to Wikipedia, Vladimir Alexandrovich Voevodsky was a Russian-American mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002. He is also known for the proof of the Milnor conjecture and motivic Bloch–Kato conjectures and for the univalent foundations of mathematics and homotopy type theory.

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Vladimir Voevodsky's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A1-homotopy theory of schemes (1999) (933)
Motivic cohomology with Z/2-coefficients (2003) (439)
Cycles, Transfers And Motivic Homology Theories (2000) (437)
On motivic cohomology with Z/l -coefficients (2008) (369)
Lecture Notes On Motivic Cohomology (2006) (360)
Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients (2000) (339)
Singular homology of abstract algebraic varieties (1996) (327)
Triangulated categories of motives over a field (2015) (297)
Reduced power operations in motivic cohomology (2001) (292)
2-Categories and Zamolodchikov tetrahedra equations (1994) (280)
An exact sequence for $K_\ast^M/2$ with applications to quadratic forms (2001) (204)
Motivic cohomology groups are isomorphic to higher chow groups in any characteristic (2002) (176)
The Milnor Conjecture (1996) (169)
Cohomological theory of presheaves with transfers (164)
Homology of schemes (1996) (147)
Open Problems in the Motivic Stable Homotopy Theory , I (2002) (133)
THE SIMPLICIAL MODEL OF UNIVALENT FOUNDATIONS (2014) (132)
Cancellation theorem (2002) (116)
Drawing Curves Over Number Fields (1990) (108)
Homotopy theory of simplicial sheaves in completely decomposable topologies (2008) (101)
Relative cycles and Chow sheaves (1999) (98)
A nilpotence theorem for cycles algebraically equivalent to zero (1995) (96)
Motivic Eilenberg-MacLane spaces (2008) (94)
Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results) (1991) (89)
Unstable motivic homotopy categories in Nisnevich and cdh-topologies (2008) (82)
Braided monoidal 2-categories and Manin-Schechtman higher braid groups (1994) (81)
Bivariant cycle cohomology (1996) (79)
An experimental library of formalized Mathematics based on the univalent foundations (2015) (69)
3. Cohomological Theory of Presheaves with Transfers (2011) (62)
The equivalence axiom and univalent models of type theory. (Talk at CMU on February 4, 2010) (2014) (60)
On the Zero Slice of the Sphere Spectrum (2003) (52)
Univalent Foundations of Mathematics (2011) (49)
A possible new approach to the motivic spectral sequence for algebraic K-theory (2001) (47)
On 2-torsion in motivic cohomology (2001) (41)
Motives over simplicial schemes (2008) (39)
Simplicial radditive functors (2008) (34)
Notes on type systems (2009) (33)
Subsystems and regular quotients of C-systems (2014) (31)
A C-system defined by a universe in a category (2014) (30)
Notes on motivic cohomology (2004) (29)
Univalent Foundations Project ( a modified version of an NSF grant application ) (2010) (26)
Bloch-Kato conjecture for Z / 2-coefficients and algebraic Morava K-theories (1995) (25)
Univalence in Simplicial Sets (2012) (24)
Homotopy Type Theory: Univalent Foundations of Mathematics (2013) (23)
On motivic cohomology with Z=l-coecients (2011) (23)
$\infty $-groupoids and homotopy types (1991) (18)
A cubical approach to straightening (2020) (17)
C-systems defined by universe categories: presheaves (2017) (16)
Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory (2007) (15)
Mini-Workshop: The Homotopy Interpretation of Constructive Type Theory (2011) (13)
Martin-Lof identity types in the C-systems defined by a universe category 1 (2015) (12)
Categorical Structures for Type Theory in Univalent Foundations (2017) (12)
PRODUCTS OF FAMILIES OF TYPES AND ( Π , λ )-STRUCTURES ON C-SYSTEMS (2016) (11)
A univalent formalization of the p-adic numbers (2015) (11)
Products of families of types in the C-systems defined by a universe category (2015) (11)
THE ( Π , λ )-STRUCTURES ON THE C-SYSTEMS DEFINED BY UNIVERSE CATEGORIES (2017) (11)
Notes on homotopy λ-calculus (2006) (11)
Lectures on motivic cohomology 2000/2001 (written by Pierre Deligne) (2008) (10)
C-system of a module over a Jf-relative monad (2016) (10)
Experimental library of univalent formalization of mathematics (2013) (10)
Homology of schemes and covariant motives (1992) (9)
VOEVODSKY’S SEATTLE LECTURES: K-THEORY AND MOTIVIC COHOMOLOGY V. Voevodsky (Notes by C. Weibel) These notes are based on a series of talks given by V. Voevodsky at the AMS Sum- (2014) (9)
A universe polymorphic type system (2014) (9)
C-system of a module over a monad on sets 1 (2014) (8)
Homology of schemes II (1994) (7)
Lawvere theories and C-systems (2015) (6)
A preliminary univalent formalization of the p-adic numbers (2013) (5)
4. Bivariant Cycle Cohomology (2011) (4)
Lawvere theories and Jf-relative monads (2016) (3)
Cycles, Transfers, and Motivic Homology Theories. (AM-143) (2011) (3)
Univalent Semantics of Constructive Type Theories (2011) (2)
Historic inference from non-recombinant genetic data (2004) (1)
Reduced power operations in motivic cohomology . Motivic cohomology with z/2-coefficients . A conformally invariant sphere theorem in four dimensions . Tameness on the boundary and Ahlfors' measure conjecture . Determinantal probability measures (2003) (1)
Subsystems of C-systems (2014) (1)
MODELS, INTERPRETATIONS AND THE INITIALLITY CONJECTURES (2017) (1)
The (Pi,lambda)-structures on the C-systems defined by universe categories (2017) (1)
THE DIVINE SPARK To the memory of (2018) (0)
Sheaves and sheaves with transfers in the cdh-topology (2006) (0)
C-system of a finitary monad (2014) (0)
Introduction to the Second Part (0)
Lawvere theories and C-systems 1 (2016) (0)
The Work of Vladimir Voevodsky (2002) (0)
Products of families of types and (Pi,lambda)-structures on C-systems (2017) (0)
Philadelphia, PA, USA May 18–20, 2011 (2012) (0)
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (2001) (0)
Categories and functors in mathematics (2019) (0)
Lateral Distribution of Muons in Groups (1990) (0)
Preliminary title : B-presheaves 1 (2016) (0)
References [1] V. A. Voevodskiĭ. Galois group Gal ( ¯ Q/Q) and Teihmuller modular groups. In Proc. (2010) (0)

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Vladimir Voevodsky's Academic­Influence.com Rankings