Erwan Brugallé

Geometry and Topology · 2007–2015

A researcher in the Science corpus: 9 papers; trusts 20 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 91 citations into it; #1,841 of 7,422 by trust here, #1,203 by citations
• Computational Theory and Mathematics — 81 citations into it; #4,176 of 12,182 by trust here, #3,033 by citations
• Algebra and Number Theory — 41 citations into it; #1,332 of 2,864 by trust here, #618 by citations
• Mathematical Physics — 25 citations into it; #3,745 of 8,562 by trust here, #3,664 by citations
• Information Systems — 8 citations into it
• Computational Mechanics — 7 citations into it
• Applied Mathematics — 6 citations into it
• Statistical and Nonlinear Physics — 5 citations into it

Whom Erwan Brugallé trusts overall

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

1. G. Mikhalkin
2. Ravi Vakil
3. Jun Li
4. Jean-Yves Welschinger
5. O. Y. Viro
6. Eugenii Shustin
7. I. Itenberg
8. Matthew Baker
9. Viatcheslav Kharlamov
10. M. Kontsevich

Who trusts Erwan Brugallé overall

1. I. Itenberg
2. G. Mikhalkin
3. Sergey Fomin
4. Omid Amini
5. Philipp Jell
6. Matthew Baker
7. Kristin M. Shaw
8. Travis Mandel
9. David Jensen
10. Dhruv Ranganathan

Papers from Erwan Brugallé's perspective

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

1. Counting curves on rational surfaces
2. Homological mirror symmetry and torus fibrations
3. A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces
4. A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
5. Real algebraic curves, the moment map and amoebas
6. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
7. SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
8. Moduli spaces of rational tropical curves
9. Enumeration of curves via floor diagrams
10. Tropical Homology

Their papers

• Floor decompositions of tropical curves : the planar case (2008) — 87 citations
• Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (2013) — 120 citations
• Tropical Open Hurwitz numbers (2010) — 58 citations
• Brief introduction to tropical geometry (2015) — 101 citations
• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces (2014) — 48 citations
• Lifting harmonic morphisms II: tropical curves and metrized complexes (2014) — 76 citations
• Algebraic and Combinatorial Aspects of Tropical Geometry (2013) — 118 citations
• Inflection Points of Real and Tropical Plane Curves (2011) — 59 citations
• Enumeration of curves via floor diagrams (2007) — 90 citations