Frank Sottile

Geometry and Topology · with Aguiar · 2002–2004

A researcher in the Science corpus: 6 papers; trusts 10 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 23 citations into it; #1,485 of 7,422 by trust here, #1,119 by citations
• Discrete Mathematics and Combinatorics — 16 citations into it; #256 of 2,017 by trust here, #167 by citations
• Mathematical Physics — 16 citations into it
• Algebra and Number Theory — 13 citations into it; #489 of 2,864 by trust here, #592 by citations
• Computational Theory and Mathematics — 8 citations into it; #8,712 of 12,182 by trust here, #11,946 by citations

Whom Frank Sottile trusts overall

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

1. Ralf Holtkamp
2. Marcelo Aguiar
3. Jean-Louis Loday
4. Michael E. Hoffman
5. G. Mikhalkin
6. Maria O. Ronco
7. Sara C. Billey
8. Jean-Yves Welschinger

Who trusts Frank Sottile overall

1. Marcelo Aguiar
2. Kurusch Ebrahimi-Fard
3. Li Guo
4. C. Okonek
5. Swapneel Mahajan
6. Jean-Louis Loday
7. Jean-Christophe Novelli
8. Nantel Bergeron
9. Loïc Foissy
10. A. Teleman

Papers from Frank Sottile's perspective

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

1. Comparison of Hopf algebras on trees
2. Structure of The Malvenuto-Reutenauer Hopf Algebra of Permutations (Extended Abstract)
3. Counting curves via lattice paths in polygons
4. Combinatorics of rooted trees and Hopf algebras
5. On the structure of cofree Hopf algebras
6. Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
7. Welschinger invariant and enumeration of real rational curves
8. The homogeneous coordinate ring of a toric variety
9. Lower bounds for Kazhdan-Lusztig polynomials from patterns
10. Relating the Connes–Kreimer and Grossman–Larson Hopf Algebras Built on Rooted Trees

Their papers

• Lower bounds for real solutions to sparse polynomial systems (2004) — 50 citations
• Structure of the Loday–Ronco Hopf algebra of trees (2004) — 87 citations
• Cocommutative Hopf Algebras of Permutations and Trees (2004) — 47 citations
• Grothendieck polynomials via permutation patterns and chains in the Bruhat order (2004) — 46 citations
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations (2003) — 278 citations
• Structure of The Malvenuto-Reutenauer Hopf Algebra of Permutations (Extended Abstract) (2002) — 159 citations