L. Katzarkov

Geometry and Topology · Publications mathématiques (Bures-sur-Yvette) · 2000–2016

A researcher in the Science corpus: 18 papers; trusts 65 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 273 citations into it; #480 of 7,422 by trust here, #227 by citations
• Mathematical Physics — 204 citations into it; #528 of 8,562 by trust here, #251 by citations
• Algebra and Number Theory — 70 citations into it; #1,419 of 2,864 by trust here, #1,227 by citations
• Statistical and Nonlinear Physics — 50 citations into it; #1,323 of 10,127 by trust here, #1,579 by citations
• Nuclear and High Energy Physics — 23 citations into it
• Computational Theory and Mathematics — 18 citations into it
• Discrete Mathematics and Combinatorics — 13 citations into it; #950 of 2,017 by trust here, #640 by citations
• Applied Mathematics — 11 citations into it

Whom L. Katzarkov trusts overall

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

1. P. Seidel
2. Dmitri Orlov
3. D. Auroux
4. B. Keller
5. Bertrand Toën
6. M. Kontsevich
7. Alexander Kuznetsov
8. Mark Gross
9. T. Bridgeland
10. K. Fukaya

Who trusts L. Katzarkov overall

1. Dmitri Orlov
2. P. Seidel
3. D. Auroux
4. H. Iritani
5. Yankı Lekili
6. M. Abouzaid
7. Matthew R. Ballard
8. Bohan Fang
9. Sergey Galkin
10. F. Catanese

Papers from L. Katzarkov's perspective

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

1. Homological mirror symmetry and torus fibrations
2. Fukaya Categories and Picard-Lefschetz Theory
3. Homological mirror symmetry for the quartic surface
4. Braid group actions on derived categories of coherent sheaves
5. Fukaya categories and deformations
6. Mirror Symmetry
7. Triangulated categories of singularities and D-branes in Landau-Ginzburg models
8. Homological mirror symmetry for Calabi–Yau hypersurfaces in projective space
9. Mirror symmetry for weighted projective planes and their noncommutative deformations
10. Stability conditions on triangulated categories

Their papers

• Tropical Homology (2016) — 79 citations
• Flat surfaces and stability structures (2014) — 250 citations
• Dynamical systems and categories (2013) — 104 citations
• Towards Mirror Symmetry for Varieties of General Type (2012) — 71 citations
• Determinantal Barlow surfaces and phantom categories (2012) — 64 citations
• Variation of geometric invariant theory quotients and derived categories (2012) — 136 citations
• Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces (2012) — 131 citations
• A category of kernels for equivariant factorizations and its implications for Hodge theory (2011) — 89 citations
• Homological mirror symmetry for punctured spheres (2011) — 91 citations
• Orlov spectra: bounds and gaps (2010) — 71 citations
• On the geometry of Deligne-Mumford stacks (2009) — 107 citations
• Hodge theoretic aspects of mirror symmetry (2008) — 133 citations
• Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves (2005) — 216 citations
• Mirror symmetry for weighted projective planes and their noncommutative deformations (2004) — 230 citations
• Singular Lefschetz pencils (2004) — 108 citations
• Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves (2002) — 122 citations
• Fundamental groups of complements of plane curves and symplectic invariants (2002) — 50 citations
• Branched coverings of ℂℙ2 and invariants of symplectic 4-manifolds (2000) — 56 citations