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Mathematics

D-Index
35
Citations
4211
World Ranking
2815
National Ranking
23

Overview

Alexander Kuznetsov is affiliated with the Steklov Mathematical Institute in the Russian Federation. Their primary research lies within the broad domain of Mathematics, with a significant focus on Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, as well as Algebra and Number Theory.

Their research topics cover a range of complex mathematical areas including Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Algebraic structures and combinatorial models, Homotopy and Cohomology in Algebraic Topology, Nonlinear Waves and Solitons, Commutative Algebra and Its Applications, and Meromorphic and Entire Functions.

Alexander Kuznetsov has contributed extensively to the academic literature, with notable recent publications including:

  • Rationality of Fano threefolds over non-closed fields, 2023, American Journal of Mathematics
  • On higher-dimensional del Pezzo varieties, 2023, Izvestiya Mathematics
  • Categorical joins, 2020, Journal of the American Mathematical Society
  • RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK, 2022, Journal of the Institute of Mathematics of Jussieu

Frequent coauthors in their research include Yuri Prokhorov, Alexander Perry, Valery Alexeev, Olivier Debarre, and Arend Bayer, indicating collaboration across a range of projects within their fields of study.

Alexander Kuznetsov's work has been published in various venues, with several contributions to arXiv (Cornell University), Izvestiya Mathematics, Известия Российской академии наук Серия математическая, Geometry & Topology, and the American Journal of Mathematics. This array of publication venues reflects involvement with both preprint and peer-reviewed mathematical literature.

Best Publications

  • Derived Categories of Cubic Fourfolds

    Alexander Kuznetsov

  • Homological projective duality

    Alexander Kuznetsov

  • Derived categories of quadric fibrations and intersections of quadrics

    Alexander Kuznetsov

  • Hyperplane sections and derived categories

    A G Kuznetsov

  • Semiorthogonal decompositions in algebraic geometry

    Alexander Kuznetsov

  • Homological projective duality for Grassmannians of lines

    Alexander Kuznetsov

  • Base change for semiorthogonal decompositions

    Alexander Kuznetsov

  • Noncommutative Instantons and Twistor Transform

    Anton Kapustin;Alexander Kuznetsov;Dmitri Orlov

  • Calabi-Yau and fractional Calabi-Yau categories

    Alexander Kuznetsov

  • Hilbert schemes of lines and conics and automorphism groups of Fano threefolds

    Alexander G. Kuznetsov;Alexander G. Kuznetsov;Alexander G. Kuznetsov;Yuri G. Prokhorov;Yuri G. Prokhorov;Yuri G. Prokhorov;Constantin A. Shramov;Constantin A. Shramov

  • Hochschild homology and semiorthogonal decompositions

    Alexander Kuznetsov

  • Lefschetz decompositions and Categorical resolutions of singularities

    Alexander Kuznetsov

  • Categorical resolutions of irrational singularities

    Alexander Kuznetsov;Alexander Kuznetsov;Valery A. Lunts

  • Exceptional collections for Grassmannians of isotropic lines

    Alexander Kuznetsov

  • Instanton bundles on Fano threefolds

    Alexander Kuznetsov;Alexander Kuznetsov;Alexander Kuznetsov

  • Derived categories of Fano threefolds

    Alexander Kuznetsov;Alexander Kuznetsov

  • Gushel--Mukai varieties: classification and birationalities

    Olivier Debarre;Alexander Kuznetsov

  • Symplectic structures on moduli spaces of sheaves via the Atiyah class

    A. Kuznetsov;D. Markushevich

  • Derived Categories View on Rationality Problems

    Alexander Kuznetsov;Alexander Kuznetsov;Alexander Kuznetsov

  • Increasing trees and alternating permutations

    A G Kuznetsov;I M Pak;A E Postnikov

  • Derived categories of Gushel-Mukai varieties

    Alexander Kuznetsov;Alexander Perry

Frequent Co-Authors

Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Victor Ginzburg
Victor Ginzburg University of Chicago
Brendan Hassett
Brendan Hassett Brown University
Arnaud Beauville
Arnaud Beauville Université Côte d'Azur
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
Dmitri Orlov
Dmitri Orlov Steklov Mathematical Institute
Igor Pak
Igor Pak University of California, Los Angeles

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