Combinatorial Hopf algebras and generalized Dehn–Sommerville relations M Aguiar, N Bergeron, F Sottile Compositio Mathematica 142 (1), 1-30, 2006 | 297 | 2006 |
Structure of the Malvenuto–Reutenauer Hopf algebra of permutations M Aguiar, F Sottile Advances in Mathematics 191 (2), 225-275, 2005 | 180 | 2005 |
Orbitopes R Sanyal, F Sottile, B Sturmfels Mathematika 57 (2), 274-314, 2011 | 163 | 2011 |
Algorithm 921: alphaCertified: certifying solutions to polynomial systems JD Hauenstein, F Sottile ACM Transactions on Mathematical Software (TOMS) 38 (4), 1-20, 2012 | 159 | 2012 |
Intersection theory on spherical varieties W Fulton, R MacPherson, F Sottile, B Sturmfels Journal of Algebraic Geometry 4, 181-193, 1995 | 159 | 1995 |
Real solutions to equations from geometry F Sottile University Lecture Series, AMS, 2011 | 130 | 2011 |
Schubert polynomials, the Bruhat order, and the geometry of flag manifolds N Bergeron, F Sottile | 107 | 1998 |
Pieri's formula for flag manifolds and Schubert polynomials F Sottile Annales de l'Institut Fourier 46 (1), 89-110, 1996 | 99 | 1996 |
Tableau switching: algorithms and applications G Benkart, F Sottile, J Stroomer journal of combinatorial theory, Series A 76 (1), 11-43, 1996 | 88 | 1996 |
Noncommutative Pieri operators on posets N Bergeron, S Mykytiuk, F Sottile, S van Willigenburg Journal of Combinatorial Theory, Series A 91 (1-2), 84-110, 2000 | 87 | 2000 |
Numerical schubert calculus B Huber, F Sottile, B Sturmfels Journal of Symbolic Computation 26 (6), 767-788, 1998 | 86 | 1998 |
Structure of the Loday–Ronco Hopf algebra of trees M Aguiar, F Sottile Journal of Algebra 295 (2), 473-511, 2006 | 85 | 2006 |
New fewnomial upper bounds from Gale dual polynomial systems F Bihan, F Sottile Moscow mathematical journal 7 (3), 2007 | 80 | 2007 |
Toric ideals, real toric varieties, and the algebraic moment map F Sottile arXiv preprint math/0212044, 2002 | 64 | 2002 |
Real Schubert calculus: polynomial systems and a conjecture of Shapiro and Shapiro F Sottile Experimental Mathematics 9 (2), 161-182, 2000 | 64* | 2000 |
Irrational proofs for three theorems of Stanley M Beck, F Sottile European Journal of Combinatorics 28 (1), 403-409, 2007 | 61 | 2007 |
Some remarks on real and complex output feedback J Rosenthal, F Sottile Systems & Control Letters 33 (2), 73-80, 1998 | 59 | 1998 |
Formulas of Brion, Lawrence, and Varchenko on Rational Generating Functions for Cones. M Beck, C Haase, F Sottile Mathematical Intelligencer 31 (1), 2009 | 56* | 2009 |
Enumerative geometry for the real Grassmannian of lines in projective space F Sottile | 56 | 1997 |
Galois groups of Schubert problems via homotopy computation A Leykin, F Sottile Mathematics of Computation 78 (267), 1749-1765, 2009 | 52 | 2009 |