I. Itenberg

Geometry and Topology · 2000–2016

A researcher in the Science corpus: 10 papers; trusts 16 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 79 citations into it; #1,649 of 7,422 by trust here, #749 by citations
• Computational Theory and Mathematics — 67 citations into it; #2,471 of 12,182 by trust here, #1,936 by citations
• Algebra and Number Theory — 37 citations into it; #1,464 of 2,864 by trust here, #948 by citations
• Mathematical Physics — 32 citations into it
• Numerical Analysis — 10 citations into it
• Applied Mathematics — 7 citations into it
• Computational Mechanics — 7 citations into it

Whom I. Itenberg trusts overall

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

1. G. Mikhalkin
2. Jean-Yves Welschinger
3. Eugenii Shustin
4. Ravi Vakil
5. Viatcheslav Kharlamov
6. Erwan Brugallé
7. Sergey Fomin
8. Andreas Gathmann
9. Martyn Marshall
10. O. Y. Viro

Who trusts I. Itenberg overall

1. Jean-Yves Welschinger
2. Erwan Brugallé
3. Viatcheslav Kharlamov
4. Eugenii Shustin
5. Eric Katz
6. L. Gottsche
7. G. Mikhalkin
8. Vivek V. Shende
9. C. Okonek
10. Jake Solomon

Papers from I. Itenberg's perspective

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

1. Counting curves on rational surfaces
2. Counting curves via lattice paths in polygons
3. Enumerative tropical algebraic geometry
4. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
5. A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
6. A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces
7. The numbers of tropical plane curves through points in general position
8. Real algebraic curves, the moment map and amoebas
9. Logarithmic equivalence of Welschinger and Gromov-Witten invariants
10. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)

Their papers

• Welschinger invariant and enumeration of real rational curves (2003) — 114 citations
• A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces (2006) — 81 citations
• Tropical Homology (2016) — 79 citations
• Logarithmic equivalence of Welschinger and Gromov-Witten invariants (2004) — 87 citations
• Brief introduction to tropical geometry (2015) — 101 citations
• On Block-Goettsche multiplicities for planar tropical curves (2012) — 57 citations
• Algebraic and Combinatorial Aspects of Tropical Geometry (2013) — 118 citations
• Real algebraic geometry (2013) — 1,051 citations
• Welschinger invariants of real Del Pezzo surfaces of degree ≥ 3 (2011) — 52 citations
• Real Enriques Surfaces (2000) — 139 citations