D. Joyce

Geometry and Topology · 2000–2019

A researcher in the Science corpus: 25 papers; trusts 80 researchers and is trusted by 48 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 141 citations into it; #227 of 7,422 by trust here, #207 by citations
• Mathematical Physics — 93 citations into it; #432 of 8,562 by trust here, #366 by citations
• Applied Mathematics — 39 citations into it; #1,449 of 7,620 by trust here, #1,710 by citations
• Algebra and Number Theory — 26 citations into it; #827 of 2,864 by trust here, #902 by citations
• Computational Theory and Mathematics — 22 citations into it
• Nuclear and High Energy Physics — 15 citations into it; #4,567 of 6,161 by trust here, #5,861 by citations
• Discrete Mathematics and Combinatorics — 13 citations into it
• Statistical and Nonlinear Physics — 6 citations into it

Whom D. Joyce trusts overall

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

1. T. Bridgeland
2. K. Behrend
3. P. Seidel
4. David I. Spivak
5. M. Haskins
6. D. Huybrechts
7. Franziska Bittner
8. Knut Smoczyk
9. Takehiko Yasuda
10. M. Kontsevich

Who trusts D. Joyce overall

1. T. Bridgeland
2. M. Haskins
3. Yukinobu Toda
4. A. Kovalev
5. H. Anciaux
6. Sergey Grigorian
7. O. Ben-Bassat
8. Spiro Karigiannis
9. Semyon Alesker
10. Christopher Brav

Papers from D. Joyce's perspective

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

1. Fukaya Categories and Picard-Lefschetz Theory
2. Stability conditions on triangulated categories
3. Symmetric Obstruction Theories and Hilbert Schemes of Points on Threefolds
4. Curve counting via stable pairs in the derived category
5. Geometry on Arc Spaces of Algebraic Varieties
6. Twisted connected sums and special Riemannian holonomy
7. Large Complex Structure Limits of K3 Surfaces
8. Gromov–Witten theory and Donaldson–Thomas theory, I (Compositio Mathematica)
9. Homological mirror symmetry and torus fibrations
10. A theory of generalized Donaldson–Thomas invariants

Their papers

• Algebraic Geometry over 𝐶^{∞}-rings (2019) — 47 citations
• A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces (2017) — 65 citations
• Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds (2015) — 92 citations
• A generalization of manifolds with corners (2015) — 47 citations
• Conjectures on Bridgeland stability for Fukaya categories of Calabi-Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow (2014) — 84 citations
• A classical model for derived critical loci (2013) — 89 citations
• A ‘Darboux theorem’ for shifted symplectic structures on derived Artin stacks, with applications (2013) — 119 citations
• A Darboux theorem for derived schemes with shifted symplectic structure (2013) — 78 citations
• Symmetries and stabilization for sheaves of vanishing cycles (2012) — 100 citations
• On manifolds with corners (2009) — 158 citations
• A theory of generalized Donaldson–Thomas invariants (2008) — 436 citations
• Immersed Lagrangian Floer Theory (2008) — 112 citations
• Self-similar solutions and translating solitons for Lagrangian mean curvature flow (2008) — 87 citations
• Riemannian Holonomy Groups And Calibrated Geometry (2007) — 294 citations
• MOTIVIC INVARIANTS OF ARTIN STACKS AND ‘STACK FUNCTIONS’ (2005) — 125 citations
• Configurations in abelian categories. II. Ringel–Hall algebras (2005) — 157 citations
• Constructible Functions on Artin Stacks (2004) — 59 citations
• Calabi-Yau manifolds and related geometries (2003) — 352 citations
• Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June, 2001 (2003) — 91 citations
• Lectures on special Lagrangian geometry (2001) — 59 citations