Jean-Yves Welschinger

Geometry and Topology · 2003–2013

A researcher in the Science corpus: 5 papers; trusts 8 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 15 citations into it; #602 of 7,422 by trust here, #1,009 by citations
• Applied Mathematics — 5 citations into it

Whom Jean-Yves Welschinger trusts overall

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

1. I. Itenberg
2. G. Mikhalkin
3. Viatcheslav Kharlamov
4. Eugenii Shustin
5. Fedor Nazarov
6. Steve Zelditch
7. Bernard Shiffman
8. M. Sodin

Who trusts Jean-Yves Welschinger overall

1. I. Itenberg
2. G. Mikhalkin
3. Eugenii Shustin
4. Jake Solomon
5. Erwan Brugallé
6. Viatcheslav Kharlamov
7. P. Biran
8. Sergey Fomin
9. O. Cornea
10. J. Walcher

Papers from Jean-Yves Welschinger's perspective

Ordered by how strongly the researchers Jean-Yves Welschinger trusts endorse each paper. Same corpus, a different order for every researcher.

1. Counting curves via lattice paths in polygons
2. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
3. Logarithmic equivalence of Welschinger and Gromov-Witten invariants
4. On the number of nodal domains of random spherical harmonics
5. EQUILIBRIUM DISTRIBUTION OF ZEROS OF RANDOM POLYNOMIALS
6. Real and complex zeros of Riemannian random waves
7. Random complex zeroes, I. Asymptotic normality
8. Random Matrices and Complexity of Spin Glasses
9. Number Variance of Random Zeros on Complex Manifolds
10. Welschinger invariant and enumeration of real rational curves

Their papers

• Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants (2003) — 102 citations
• EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS (2013) — 54 citations
• Betti numbers of random real hypersurfaces and determinants of random symmetric matrices (2012) — 66 citations
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry (2003) — 235 citations
• Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry (2003) — 100 citations