Bernd S Siebert

Geometry and Topology · 2002–2021

A researcher in the Science corpus: 14 papers; trusts 22 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 99 citations into it; #268 of 7,422 by trust here, #179 by citations
• Mathematical Physics — 51 citations into it; #1,087 of 8,562 by trust here, #722 by citations
• Computational Theory and Mathematics — 26 citations into it; #1,572 of 12,182 by trust here, #2,201 by citations
• Algebra and Number Theory — 22 citations into it; #413 of 2,864 by trust here, #766 by citations
• Discrete Mathematics and Combinatorics — 13 citations into it; #640 of 2,017 by trust here, #713 by citations
• Applied Mathematics — 10 citations into it
• Statistical and Nonlinear Physics — 7 citations into it; #1,399 of 10,127 by trust here, #1,677 by citations

Whom Bernd S Siebert trusts overall

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

1. Mark Gross
2. Jun Li
3. M. Kontsevich
4. G. Mikhalkin
5. Y. Soibelman
6. T. Nishinou
7. Fumiharu Kato
8. D. Abramovich
9. P. Hacking
10. Martin Olsson

Who trusts Bernd S Siebert overall

1. Mark Gross
2. D. Abramovich
3. Dhruv Ranganathan
4. M. Abouzaid
5. Martin Ulirsch
6. P. Hacking
7. Helge Ruddat
8. Qile Chen
9. M. Kontsevich
10. L. Katzarkov

Papers from Bernd S Siebert's perspective

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

1. Large Complex Structure Limits of K3 Surfaces
2. Enumerative tropical algebraic geometry
3. Homological mirror symmetry and torus fibrations
4. Stable Morphisms to Singular Schemes and Relative Stable Morphisms
5. Tropical Geometry And Mirror Symmetry
6. Logarithmic Gromov-Witten invariants
7. LOG SMOOTH DEFORMATION AND MODULI OF LOG SMOOTH CURVES
8. The numbers of tropical plane curves through points in general position
9. Boundedness of the space of stable logarithmic maps
10. Birational invariance in logarithmic Gromov–Witten theory (Compositio Mathematica)

Their papers

• Toric degenerations of toric varieties and tropical curves (2004) — 257 citations
• The tropical vertex (2009) — 189 citations
• Decomposition of degenerate Gromov–Witten invariants (2017) — 77 citations
• The canonical wall structure and intrinsic mirror symmetry (2021) — 50 citations
• Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations (2019) — 55 citations
• Theta functions on varieties with effective anti-canonical class (2016) — 58 citations
• Logarithmic Gromov-Witten invariants (2011) — 267 citations
• An invitation to toric degenerations (2008) — 60 citations
• Mirror Symmetry via Logarithmic Degeneration Data II (2007) — 126 citations
• From real affine geometry to complex geometry (2007) — 308 citations
• Virtual fundamental classes, global normal cones and Fulton’s canonical classes (2005) — 53 citations
• Mirror Symmetry via Logarithmic Degeneration Data I (2003) — 256 citations
• On the holomorphicity of genus two Lefschetz fibrations (2003) — 97 citations
• Affine manifolds, log structures, and mirror symmetry (2002) — 98 citations