Alexander Kuznetsov

Alexander Kuznetsov 's AcademicInfluence.com Rankings

Alexander Kuznetsov

Mathematics

#2104

World Rank

#3299

Historical Rank

Algebra

#46

World Rank

#81

Historical Rank

Group Theory

#259

World Rank

#306

Historical Rank

Number Theory

#327

World Rank

#407

Historical Rank

mathematics Degrees

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Mathematics

Why Is Alexander Kuznetsov Influential?

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According to Wikipedia, Alexander Gennadyevich Kuznetsov is a Russian mathematician working at the Steklov Mathematical Institute and the Interdisciplinary Scientific Center J.-V. Poncelet, Moscow, and head of the Laboratory of Algebraic Geometry and its Applications of the Higher School of Economics. He graduated from Moscow State School 57 in 1990. He received a Ph.D. in 1998 under the supervision of . Kuznetsov is known for his research in algebraic geometry, mostly concerning derived categories of coherent sheaves and their semiorthogonal decompositions.

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Alexander Kuznetsov '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

Homological projective duality (2005) (209)
Derived Categories of Cubic Fourfolds (2008) (191)
Derived categories of quadric fibrations and intersections of quadrics (2005) (173)
Hyperplane sections and derived categories (2005) (168)
Semiorthogonal decompositions in algebraic geometry (2014) (132)
Base change for semiorthogonal decompositions (2007) (128)
Noncommutative Instantons and Twistor Transform (2000) (123)
Homological projective duality for Grassmannians of lines (2006) (109)
Lefschetz decompositions and categorical resolutions of singularities (2006) (107)
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds (2016) (103)
Calabi–Yau and fractional Calabi–Yau categories (2015) (102)
Categorical resolutions of irrational singularities (2012) (100)
Hochschild homology and semiorthogonal decompositions (2009) (90)
Exceptional collections for Grassmannians of isotropic lines (2005) (85)
Gushel--Mukai varieties: classification and birationalities (2015) (84)
Derived Categories View on Rationality Problems (2015) (68)
Derived categories of Gushel–Mukai varieties (2016) (64)
Derived categories of Fano threefolds (2008) (64)
Derived categories of cubic and V14 threefolds (2003) (60)
Instanton bundles on Fano threefolds (2012) (54)
Quiver varieties and Hilbert schemes (2001) (49)
Gushel–Mukai varieties: Linear spaces and periods (2016) (47)
Exceptional collections on isotropic Grassmannians (2011) (44)
Height of exceptional collections and Hochschild cohomology of quasiphantom categories (2012) (38)
Derived Categories of Families of Sextic del Pezzo Surfaces (2017) (38)
Quiver Varieties and a Noncommutative P2 (2001) (36)
On Küchle varieties with Picard number greater than 1 (2015) (36)
Derived equivalence of Ito–Miura–Okawa–Ueda Calabi–Yau 3-folds (2016) (35)
Küchle fivefolds of type c5 (2016) (35)
Derived categories of cyclic covers and their branch divisors (2014) (33)
The Laumon's resolution of Drinfeld's compactification is small (1996) (33)
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics (2016) (31)
On nodal Enriques surfaces and quartic double solids (2010) (31)
Derived categories of curves as components of Fano manifolds (2016) (31)
Wilson's Grassmannian and a noncommutative quadric (2002) (30)
On residual categories for Grassmannians (2018) (27)
Gushel–Mukai varieties: Moduli (2018) (23)
Categorical joins (2018) (20)
Derived Categories of Fano Threefolds V12 (2005) (20)
Rationality of Fano threefolds over non-closed fields (2019) (18)
Double covers of quadratic degeneracy and Lagrangian intersection loci (2018) (17)
Derived categories of singular surfaces (2018) (17)
Categorical cones and quadratic homological projective duality (2019) (16)
Residual categories for (co)adjoint Grassmannians in classical types (2020) (14)
Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category (2010) (14)
Gushel--Mukai varieties: intermediate Jacobians (2020) (12)
Derived categories of coherent sheaves on Abelian varieties and equivalences between them (2016) (12)
Exceptional collections in surface-like categories (2017) (11)
Coble fourfold, 𝔖6-invariant quartic threefolds, and Wiman–Edge sextics (2017) (11)
DERIVED CATEGORIES OF THE CAYLEY PLANE AND THE COADJOINT GRASSMANNIAN OF TYPE F (2020) (10)
On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections (2017) (10)
Prime Fano threefolds of genus 12 with a $G_m$-action (2017) (8)
Homological projective duality for quadrics (2019) (8)
Serre functors and dimensions of residual categories (2021) (7)
Semiorthogonal decompositions in families (2021) (6)
Embedding derived categories of Enriques surfaces in derived categories of Fano varieties (2018) (6)
Derived category of V_{12} Fano threefolds (2003) (6)
Rationality of Mukai Varieties over Non-closed Fields (2020) (5)
Upper and lower densities of Gabor Gaussian systems (2020) (4)
Homologically finite-dimensional objects in triangulated categories (2022) (4)
Categorical absorptions of singularities and degenerations (2022) (4)
On higher-dimensional del Pezzo varieties (2022) (4)
RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK (2021) (3)
Derived categories of families of Fano threefolds (2022) (3)
Simultaneous categorical resolutions (2021) (3)
Paraboloc sheaves on surfaces and affine Lie algebra (2000) (2)
Quadric bundles and hyperbolic equivalence (2021) (2)
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics (2017) (2)
Instanton bundles on Fano threefolds Research Article (2012) (1)
On the cohomology of Gushel-Mukai sixfolds (2016) (1)
A G ] 6 J ul 2 00 1 Quiver varieties and a noncommutative P (2018) (0)
Refined blowups (2014) (0)
Exceptional collections on isotropic (2016) (0)
Explicit deformation of the horospherical variety of type $\mathrm{G}_2$ (2023) (0)
Commensurations of out(Fn) . Dynamics on blowups of the projective plane . Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products . Homological projective duality . Sur les équations d'Halphen et les actions de SL[2](c) (2007) (0)
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds (2018) (0)
A simple counterexample to the Jordan-H\"older property for derived categories (2013) (0)
Central European Journal of Mathematics Instanton bundles on Fano threefolds (2012) (0)
A G ] 6 J un 2 01 7 GUSHEL – MUKAI VARIETIES : LINEAR SPACES AND PERIODS (0)
Derived categories of cyclic covers and their branch divisors (2016) (0)
Rationality of Fano 3-folds over non-closed fields (2019) (0)
A G ] 1 3 M ar 2 00 2 Wilson ’ s Grassmannian and a Non-commutative Quadric (0)
A G ] 1 S ep 2 00 8 DERIVED CATEGORIES OF FANO THREEFOLDS (0)

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Why Is Alexander Kuznetsov Influential?

Alexander Kuznetsov 's Published Works

Published Works

Other Resources About Alexander Kuznetsov

What Schools Are Affiliated With Alexander Kuznetsov ?

Alexander Kuznetsov 's AcademicInfluence.com Rankings