Andreas Gathmann

Computational Theory and Mathematics · 2000–2007

A researcher in the Science corpus: 6 papers; trusts 4 researchers and is trusted by 34 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 18 citations into it; #687 of 12,182 by trust here, #1,254 by citations
• Geometry and Topology — 17 citations into it; #506 of 7,422 by trust here, #631 by citations
• Algebra and Number Theory — 13 citations into it; #476 of 2,864 by trust here, #592 by citations

Whom Andreas Gathmann trusts overall

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

1. G. Mikhalkin
2. Hannah Markwig
3. Yuan-Pin Lee
4. Bernd Sturmfels
5. David E. Speyer
6. T. Nishinou
7. Jürgen Richter-Gebert

Who trusts Andreas Gathmann overall

1. Lucia Caporaso
2. G. Mikhalkin
3. Davesh Maulik
4. Nathan Pflueger
5. David Jensen
6. Melody Chan
7. Matthew Baker
8. L. Gottsche
9. Omid Amini
10. R. Pandharipande

Papers from Andreas Gathmann's perspective

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

1. The tropical Grassmannian
2. Tropical curves, their Jacobians and Theta functions
3. Kontsevich's formula and the WDVV equations in tropical geometry
4. Quantum Lefschetz hyperplane theorem
5. Counting curves via lattice paths in polygons
6. Enumerative tropical algebraic geometry
7. SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS
8. Real algebraic curves, the moment map and amoebas
9. Large Complex Structure Limits of K3 Surfaces
10. Homological mirror symmetry and torus fibrations

Their papers

• A Riemann–Roch theorem in tropical geometry (2006) — 197 citations
• Kontsevich's formula and the WDVV equations in tropical geometry (2005) — 96 citations
• The numbers of tropical plane curves through points in general position (2005) — 87 citations
• The Caporaso–Harris formula and plane relative Gromov-Witten invariants in tropical geometry (2005) — 89 citations
• Tropical fans and the moduli spaces of tropical curves (2007) — 125 citations
• Relative Gromov-Witten invariants and the mirror formula (2000) — 57 citations