Lucia Caporaso

Geometry and Topology · 2000–2012

A researcher in the Science corpus: 8 papers; trusts 28 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 63 citations into it; #849 of 7,422 by trust here, #825 by citations
• Computational Theory and Mathematics — 47 citations into it; #1,783 of 12,182 by trust here, #2,060 by citations
• Algebra and Number Theory — 28 citations into it; #394 of 2,864 by trust here, #573 by citations
• Mathematical Physics — 16 citations into it; #3,109 of 8,562 by trust here, #4,785 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #5,893 of 10,127 by trust here, #8,120 by citations

Whom Lucia Caporaso trusts overall

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

1. G. Mikhalkin
2. Valery Alexeev
3. Matthew Baker
4. Omid Amini
5. Andreas Gathmann
6. Silvia Brannetti
7. Hajime Urakawa
8. Peter E. Newstead
9. D. Abramovich
10. Sergey Norin

Who trusts Lucia Caporaso overall

1. Matthew Baker
2. G. Farkas
3. David Jensen
4. Omid Amini
5. Melody Chan
6. A. Chiodo
7. Renzo Cavalieri
8. Igor Dolgachev
9. R. Hain
10. Dhruv Ranganathan

Papers from Lucia Caporaso's perspective

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

1. Tropical Geometry and its applications
2. Moduli spaces of rational tropical curves
3. Harmonic morphisms and hyperelliptic graphs
4. On the tropical Torelli map
5. A Riemann–Roch theorem in tropical geometry
6. Compactified Jacobians and Torelli Map
7. On the existence of branched coverings between surfaces with prescribed branch data, I
8. Specialization of linear systems from curves to graphs
9. The tropical Grassmannian
10. Enumerative tropical algebraic geometry in R^2

Their papers

• The tropicalization of the moduli space of curves (2012) — 231 citations
• Riemann–Roch theory for weighted graphs and tropical curves (2011) — 66 citations
• Gonality of algebraic curves and graphs (2012) — 76 citations
• TORELLI THEOREM FOR GRAPHS AND TROPICAL CURVES (2009) — 82 citations
• Algebraic and tropical curves: comparing their moduli spaces (2011) — 89 citations
• Néron models and compactified Picard schemes over the moduli stack of stable curves (2005) — 77 citations
• Moduli of roots of line bundles on curves (2004) — 73 citations
• Recovering plane curves from their bitangents (2000) — 58 citations