Alexander Kuznetsov

Geometry and Topology · 2001–2016

A researcher in the Science corpus: 23 papers; trusts 49 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 128 citations into it; #104 of 7,422 by trust here, #93 by citations
• Mathematical Physics — 89 citations into it; #167 of 8,562 by trust here, #120 by citations
• Algebra and Number Theory — 38 citations into it; #244 of 2,864 by trust here, #280 by citations
• Statistical and Nonlinear Physics — 22 citations into it; #826 of 10,127 by trust here, #1,990 by citations
• Discrete Mathematics and Combinatorics — 11 citations into it; #810 of 2,017 by trust here, #898 by citations
• Computational Theory and Mathematics — 5 citations into it
• Theoretical Computer Science — 5 citations into it

Whom Alexander Kuznetsov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. T. Bridgeland
2. B. Keller
3. Brendan Hassett
4. Dmitri Orlov
5. D. Huybrechts
6. Shinnosuke Okawa
7. O. Debarre
8. Michel van den Bergh
9. A. Bondal
10. Nicolas Addington

Who trusts Alexander Kuznetsov overall

1. K. Hori
2. Emanuele Macrì
3. P. Stellari
4. Nicolas Addington
5. Arend Bayer
6. Alexander Perry
7. L. Borisov
8. M. Bernardara
9. D. Huybrechts
10. I. Smith

Papers from Alexander Kuznetsov's perspective

Ordered by how strongly the researchers Alexander Kuznetsov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Special Cubic Fourfolds (Compositio Mathematica)
2. Braid group actions on derived categories of coherent sheaves
3. Non-commutative Crepant Resolutions
4. Derived categories of coherent sheaves
5. Stability conditions on triangulated categories
6. Moduli of objects in dg-categories
7. DG quotients of DG categories
8. Triangulated categories of singularities and D-branes in Landau-Ginzburg models
9. The Atiyah class, Hochschild cohomology and the Riemann–Roch theorem
10. Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Their papers

• Derived categories of Gushel–Mukai varieties (2016) — 84 citations
• Hilbert schemes of lines and conics and automorphism groups of Fano threefolds (2016) — 152 citations
• Gushel–Mukai varieties: Linear spaces and periods (2016) — 55 citations
• Derived Categories View on Rationality Problems (2015) — 85 citations
• Gushel--Mukai varieties: classification and birationalities (2015) — 109 citations
• Calabi–Yau and fractional Calabi–Yau categories (2015) — 135 citations
• Derived categories of cyclic covers and their branch divisors (2014) — 49 citations
• Semiorthogonal decompositions in algebraic geometry (2014) — 155 citations
• Categorical resolutions of irrational singularities (2012) — 128 citations
• Instanton bundles on Fano threefolds (2012) — 68 citations
• Exceptional collections on isotropic Grassmannians (2011) — 55 citations
• Hochschild homology and semiorthogonal decompositions (2009) — 112 citations
• Derived categories of Fano threefolds (2008) — 82 citations
• Derived Categories of Cubic Fourfolds (2008) — 232 citations
• Symplectic structures on moduli spaces of sheaves via the Atiyah class (2007) — 85 citations
• Base change for semiorthogonal decompositions (2007) — 153 citations
• Lefschetz decompositions and categorical resolutions of singularities (2006) — 118 citations
• Homological projective duality for Grassmannians of lines (2006) — 119 citations
• Homological projective duality (2005) — 237 citations
• Derived categories of quadric fibrations and intersections of quadrics (2005) — 206 citations