Eugenii Shustin

Geometry and Topology · 2002–2013

A researcher in the Science corpus: 10 papers; trusts 21 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 74 citations into it; #917 of 7,422 by trust here, #763 by citations
• Computational Theory and Mathematics — 49 citations into it; #1,345 of 12,182 by trust here, #1,983 by citations
• Mathematical Physics — 35 citations into it
• Algebra and Number Theory — 23 citations into it; #420 of 2,864 by trust here, #489 by citations
• Numerical Analysis — 11 citations into it
• Applied Mathematics — 9 citations into it
• Computational Mathematics — 5 citations into it

Whom Eugenii Shustin trusts overall

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

1. G. Mikhalkin
2. Jean-Yves Welschinger
3. I. Itenberg
4. Dinesh Manocha
5. Mikael Passare
6. Ravi Vakil
7. Viatcheslav Kharlamov
8. H. Rullg̊ard
9. M. Kontsevich
10. O. Y. Viro

Who trusts Eugenii Shustin overall

1. I. Itenberg
2. Ilya Tyomkin
3. Erwan Brugallé
4. Viatcheslav Kharlamov
5. G. Mikhalkin
6. Zur Izhakian
7. Jean-Yves Welschinger
8. Louis H. Rowen
9. Eric Katz
10. Jürgen Richter-Gebert

Papers from Eugenii Shustin's perspective

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

1. Counting curves via lattice paths in polygons
2. Enumerative tropical algebraic geometry
3. Counting curves on rational surfaces
4. A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces
5. A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
6. The numbers of tropical plane curves through points in general position
7. Real algebraic curves, the moment map and amoebas
8. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
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
• A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces (2004) — 59 citations
• Logarithmic equivalence of Welschinger and Gromov-Witten invariants (2004) — 87 citations
• A tropical approach to enumerative geometry (2006) — 104 citations
• Real algebraic geometry (2013) — 1,051 citations
• Welschinger invariants of real Del Pezzo surfaces of degree ≥ 3 (2011) — 52 citations
• Tropical Algebraic Geometry (2007) — 148 citations
• Introduction to Singularities and Deformations (2007) — 390 citations
• Patchworking singular algebraic curves, non-Archimedean amoebas and enumerative geometry (2002) — 52 citations