Viatcheslav Kharlamov

Geometry and Topology · 2000–2013

A researcher in the Science corpus: 7 papers; trusts 12 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 44 citations into it; #1,742 of 7,422 by trust here, #968 by citations
• Computational Theory and Mathematics — 36 citations into it; #2,740 of 12,182 by trust here, #2,761 by citations
• Mathematical Physics — 21 citations into it; #8,149 of 8,562 by trust here, #7,868 by citations
• Algebra and Number Theory — 17 citations into it; #1,449 of 2,864 by trust here, #1,490 by citations
• Numerical Analysis — 10 citations into it

Whom Viatcheslav Kharlamov trusts overall

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

1. G. Mikhalkin
2. Eugenii Shustin
3. Jean-Yves Welschinger
4. I. Itenberg
5. Ravi Vakil
6. Lee Rudolph
7. Martyn Marshall
8. Andreas Gathmann
9. Karin Gatermann

Who trusts Viatcheslav Kharlamov overall

1. I. Itenberg
2. Jean-Yves Welschinger
3. Eugenii Shustin
4. Erwan Brugallé
5. Eric Katz
6. G. Mikhalkin
7. L. Gottsche
8. Lee Rudolph

Papers from Viatcheslav Kharlamov's perspective

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

1. Counting curves via lattice paths in polygons
2. Counting curves on rational surfaces
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. Enumerative tropical algebraic geometry
6. The numbers of tropical plane curves through points in general position
7. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
8. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
9. Logarithmic equivalence of Welschinger and Gromov-Witten invariants
10. Symmetry groups, semidefinite programs, and sums of squares

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
• Logarithmic equivalence of Welschinger and Gromov-Witten invariants (2004) — 87 citations
• Real algebraic geometry (2013) — 1,051 citations
• Welschinger invariants of real Del Pezzo surfaces of degree ≥ 3 (2011) — 52 citations
• On braid monodromy factorizations (2003) — 50 citations
• Real Enriques Surfaces (2000) — 139 citations