Upper bounds for packings of spheres of several radii D De Laat, FM de Oliveira Filho, F Vallentin Forum of Mathematics, Sigma 2, e23, 2014 | 63 | 2014 |

Fourier analysis, linear programming, and densities of distance avoiding sets in FM de Oliveira Filho, F Vallentin Journal of the European Mathematical Society 12 (6), 1417-1428, 2010 | 54* | 2010 |

Lower bounds for measurable chromatic numbers C Bachoc, G Nebe, FM de Oliveira Filho, F Vallentin Geometric and Functional Analysis 19 (3), 645-661, 2009 | 53 | 2009 |

Grothendieck inequalities for semidefinite programs with rank constraint J Briët, F Vallentin arXiv preprint arXiv:1011.1754, 2010 | 49 | 2010 |

The positive semidefinite Grothendieck problem with rank constraint J Briët, FM de Oliveira Filho, F Vallentin International Colloquium on Automata, Languages, and Programming, 31-42, 2010 | 44 | 2010 |

Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry F Caluza Machado, FM de Oliveira Filho Experimental Mathematics 27 (3), 362-369, 2018 | 35 | 2018 |

New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry M Dostert, C Guzmán, FMO Filho, F Vallentin Discrete & Computational Geometry 58 (2), 449-481, 2017 | 27 | 2017 |

Spectral bounds for the independence ratio and the chromatic number of an operator C Bachoc, E DeCorte, FM de Oliveira Filho, F Vallentin Israel Journal of Mathematics 202 (1), 227-254, 2014 | 24 | 2014 |

Complete positivity and distance-avoiding sets E DeCorte, FMO Filho, F Vallentin Mathematical Programming, 1-72, 2022 | 20 | 2022 |

Relaxations of combinatorial problems via association schemes E de Klerk, FM de Oliveira Filho, DV Pasechnik Handbook on semidefinite, conic and polynomial optimization, 171-199, 2012 | 17 | 2012 |

Computing upper bounds for the packing density of congruent copies of a convex body FM de Oliveira Filho, F Vallentin New trends in intuitive geometry, 155-188, 2018 | 16 | 2018 |

New bounds for geometric packing and coloring via harmonic analysis and optimization FM de Oliveira Filho | 13 | 2009 |

Flag algebras: A first glance MK Silva, CM Sato arXiv preprint arXiv:1607.04741, 2016 | 12 | 2016 |

Better bounds for planar sets avoiding unit distances T Keleti, M Matolcsi, FM de Oliveira Filho, IZ Ruzsa Discrete & Computational Geometry 55, 642-661, 2016 | 11 | 2016 |

*k*-Point semidefinite programming bounds for equiangular linesD de Laat, FC Machado, FMO Filho, F Vallentin Mathematical Programming, 1-35, 2022 | 9 | 2022 |

New reduction techniques for the group Steiner tree problem CE Ferreira, FM de Oliveira Filho SIAM Journal on Optimization 17 (4), 1176-1188, 2007 | 9 | 2007 |

Some formulations for the group steiner tree problem CE Ferreira, FM de Oliveira Filho Discrete applied mathematics 154 (13), 1877-1884, 2006 | 9 | 2006 |

A recursive Lovász theta number for simplex-avoiding sets D Castro-Silva, F de Oliveira Filho, L Slot, F Vallentin Proceedings of the American Mathematical Society 150 (8), 3307-3322, 2022 | 7 | 2022 |

A quantitative version of Steinhaus’ theorem for compact, connected, rank-one symmetric spaces FM de Oliveira Filho, F Vallentin Geometriae Dedicata 167 (1), 295-307, 2013 | 5 | 2013 |

Mathematical optimization for packing problems FM DE OLIVEIRA FILHO, F VALLENTIN arXiv preprint arXiv:1403.1166, 2014 | 4 | 2014 |