Skip to main content
Research
  1. Queen Mary University of London
  2. Research
  3. Publications

Publications: PROF Federico Ardila

Back to Search
Ardila-Mantilla F, Banerjee N, Weir C ( 2026 ) . Markov Chains, CAT(0) Cube Complexes, and Enumeration: Monotone Paths in a Strip Mix Slowly . International Mathematics Research Notices vol. 2026 , ( 4 )
Ardila F ( 2024 ) . The Coefficients of a Fibonacci Power Series . The Fibonacci Quarterly vol. 42 , ( 3 ) 202 - 204 .
Ardila-Mantilla F, Eur C, Penaguiao R ( 2024 ) . The Tropical Critical Points of an Affine Matroid . SIAM Journal on Discrete Mathematics vol. 38 , ( 2 ) 1930 - 1942 .
Ardila-Mantilla F, Eur C, Penaguiao R ( 2024 ) . THE TROPICAL CRITICAL POINTS OF AN AFFINE MATROID . SIAM Journal on Discrete Mathematics vol. 38 , ( 2 ) 1930 - 1942 .
Aguiar M, Ardila F ( 2023 ) . Hopf Monoids and Generalized Permutahedra . Memoirs of the American Mathematical Society vol. 289 , ( 1437 )
Ardila F, Denham G, Huh J ( 2023 ) . Lagrangian combinatorics of matroids . Algebraic Combinatorics vol. 6 , ( 2 ) 387 - 411 .
Ardila-Mantilla F, Benedetti-Velásquez C ( 2022 ) . 5. Todxs Cuentan en ECCO: Building a Mathematical Community by Federico Ardila-Mantilla and Carolina Benedetti-Velásquez . Notices of the American Mathematical Society vol. 69 , ( 10 )
Ardila F ( 2022 ) . The bipermutahedron . Combinatorial Theory vol. 2 , ( 3 )
Ardila F, Denham G, Huh J ( 2022 ) . Lagrangian geometry of matroids . Journal of the American Mathematical Society vol. 36 , ( 3 ) 727 - 794 .
Ardila F ( 2022 ) . Tutte polynomials of hyperplane arrangements and the finite field method . Handbook of the Tutte Polynomial and Related Topics , Taylor & Francis
Ardila F, Sanchez M ( 2022 ) . Valuations and the Hopf Monoid of Generalized Permutahedra . International Mathematics Research Notices vol. 2023 , ( 5 ) 4149 - 4224 .
Ardila F, Escobar L ( 2021 ) . The harmonic polytope . Selecta Mathematica vol. 27 , ( 5 )
Ardila F, Beck M, McWhirter J ( 2020 ) . The arithmetic of Coxeter permutahedra . Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales vol. 44 , ( 173 ) 1152 - 1166 .
Aougab T, Ardila F, Athreya J, Goins E, Hoffman C, Kent A, Khadjavi L, O'neil C et al. ( 2020 ) . Boycott collaboration with police . Notices of the American Mathematical Society vol. 67 , ( 9 )
Ardila F, Supina M, Vindas-Meléndez AR ( 2020 ) . The equivariant Ehrhart theory of the permutahedron . Proceedings of the American Mathematical Society vol. 148 , ( 12 ) 5091 - 5107 .
Ardila-Mantilla F ( 2020 ) . CAT(0) Geometry, Robots, and Society . Notices of the American Mathematical Society vol. 67 , ( 07 )
Ardila F, Castillo F, Eur C, Postnikov A ( 2020 ) . Coxeter submodular functions and deformations of Coxeter permutahedra . Advances in Mathematics vol. 365 ,
Ardila F, Supina M, Vindas-Meléndez AR ( 2020 ) . The equivariant Ehrhart theory of the permutahedron . Seminaire Lotharingien De Combinatoire ( 84 )
Ardila F, Schindler A, Vindas-Meléndez AR ( 2019 ) . The Equivariant Volumes of the Permutahedron . Discrete & Computational Geometry vol. 65 , ( 3 ) 618 - 635 .
Ardila F, Castillo F, Eur C, Postnikov A ( 2019 ) . Deformations of Coxeter permutahedra and Coxeter submodular functions . Fpsac 2019 31st International Conference on Formal Power Series and Algebraic Combinatorics .
Ardila F, Schindlery A, Vindas-Meléndezz AR ( 2019 ) . The equivariant volumes of the permutahedron . Seminaire Lotharingien De Combinatoire ( 82 )
Ardila F, Fink A, Rincón F ( 2018 ) . Valuations for Matroid Polytope Subdivisions . Canadian Journal of Mathematics vol. 62 , ( 6 ) 1228 - 1245 .
Cortez R, Ardila F ( 2018 ) . Pamela Harris: The Mathematical Rise and Social Contribution of a Dreamer . Notices of the American Mathematical Society vol. 65 , ( 08 )
Ardila F ( 2018 ) . The Geometry of Matroids . Notices of the American Mathematical Society vol. 65 , ( 08 )
Ardila F, Bastidas H, Ceballos C, Guo J ( 2017 ) . The Configuration Space of a Robotic Arm in a Tunnel . SIAM Journal on Discrete Mathematics vol. 31 , ( 4 ) 2675 - 2702 .
Ardila F, Rincón F, Williams LK ( 2017 ) . Positively oriented matroids are realizable . Journal of the European Mathematical Society vol. 19 , ( 3 ) 815 - 833 .
Ardila-Mantilla F ( 2016 ) . Todos Cuentan: Cultivating Diversity in Combinatorics . Notices of the American Mathematical Society vol. 63 , ( 10 ) 1164 - 1170 .
Ardila F, Castillo F, Samper JA ( 2016 ) . The Topology of the External Activity Complex of a Matroid . The Electronic Journal of Combinatorics vol. 23 , ( 3 )
Ardila F, Brugallé E ( 2016 ) . The Double Gromov–Witten Invariants of Hirzebruch Surfaces are Piecewise Polynomial . International Mathematics Research Notices vol. 2017 , ( 2 ) 614 - 641 .
Ardila F ( 2016 ) . Catalan Numbers . The Mathematical Intelligencer vol. 38 , ( 2 ) 4 - 5 .
Ardila F, Bastidas H, Ceballos C, Guo J ( 2016 ) . The configuration space of a robotic arm in a tunnel of width 2 . Discrete Mathematics and Theoretical Computer Science . 61 - 72 .
Ardila F, Castillo F, Samper JA ( 2016 ) . The topology of the external activity complex of a matroid . Discrete Mathematics and Theoretical Computer Science . 73 - 82 .
Ardila F, Boocher A ( 2015 ) . The closure of a linear space in a product of lines . Journal of Algebraic Combinatorics vol. 43 , ( 1 ) 199 - 235 .
Ardila F, Rincón F ( 2015 ) . Positroids and non-crossing partitions . Transactions of the American Mathematical Society vol. 368 , ( 1 ) 337 - 363 .
Ardila F, Postnikov A ( 2015 ) . Correction to “Combinatorics and geometry of power ideals”: Two counterexamples for power ideals of hyperplane arrangements . Transactions of the American Mathematical Society vol. 367 , ( 5 ) 3759 - 3762 .
Ardila F, Baker T, Yatchak R ( 2014 ) . Moving Robots Efficiently Using the Combinatorics of CAT(0) Cubical Complexes . SIAM Journal on Discrete Mathematics vol. 28 , ( 2 ) 986 - 1007 .
Ardila F, Castillo F, Henley M ( 2014 ) . The Arithmetic Tutte Polynomials of the Classical Root Systems . International Mathematics Research Notices vol. 2015 , ( 12 ) 3830 - 3877 .
Ardila F, Castillo F, Henley M ( 2014 ) . The arithmetic Tutte polynomials of the classical root systems . Discrete Mathematics and Theoretical Computer Science . 851 - 862 .
Ardila F, Baker T, Yatchak R ( 2013 ) . Moving robots efficiently using the combinatorics of CAT(0) cubical complexes . Discrete Mathematics and Theoretical Computer Science . 849 - 860 .
Ardila F, Rincón F, Williams L ( 2013 ) . Positively oriented matroids are realizable .
Ardila F, Rincón F, Williams L ( 2013 ) . Positroids and non-crossing partitions .
Ardila F, Doker J ( 2013 ) . Lifted generalized permutahedra and composition polynomials . Advances in Applied Mathematics vol. 50 , ( 4 ) 607 - 633 .
Ardila F, Block F ( 2013 ) . Universal polynomials for Severi degrees of toric surfaces . Advances in Mathematics vol. 237 , 165 - 193 .
Ardila F, Ceballos C ( 2013 ) . Acyclic Systems of Permutations and Fine Mixed Subdivisions of Simplices . Discrete & Computational Geometry vol. 49 , ( 3 ) 485 - 510 .
Ardila F, Doker J ( 2012 ) . Lifted generalized permutahedra and composition polynomials . Discrete Mathematics and Theoretical Computer Science . 923 - 934 .
Ardila F, Block F ( 2012 ) . Universal polynomials for severi degrees of toric surfaces . Discrete Mathematics and Theoretical Computer Science . 863 - 874 .
Ardila F, Serrano LG ( 2012 ) . Staircase skew Schur functions are Schur P-positive . Journal of Algebraic Combinatorics vol. 36 , ( 3 ) 409 - 423 .
Ardila F, Owen M, Sullivant S ( 2012 ) . Geodesics in CAT(0) cubical complexes . Advances in Applied Mathematics vol. 48 , ( 1 ) 142 - 163 .
Ardila F, Bliem T, Salazar D ( 2011 ) . Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes . Fpsac 11 23rd International Conference on Formal Power Series and Algebraic Combinatorics . 27 - 38 .
Ardila F, Bliem T, Salazar D ( 2011 ) . Gelfand–Tsetlin polytopes and Feigin–Fourier–Littelmann–Vinberg polytopes as marked poset polytopes . Journal of Combinatorial Theory Series A vol. 118 , ( 8 ) 2454 - 2462 .
Ardila F, Beck M, Hoten S, Pfeifle J, Seashore K ( 2011 ) . Root Polytopes and Growth Series of Root Lattices . SIAM Journal on Discrete Mathematics vol. 25 , ( 1 ) 360 - 378 .
Ardila F, Stanley RP ( 2010 ) . Tilings* . The Mathematical Intelligencer vol. 32 , ( 4 ) 32 - 43 .
Ardila F, Postnikov A ( 2010 ) . Combinatorics and geometry of power ideals . Transactions of the American Mathematical Society vol. 362 , ( 8 ) 4357 - 4384 .
Ardila F, Benedetti C, Doker J ( 2009 ) . Matroid polytopes and their volumes . Fpsac 09 21st International Conference on Formal Power Series and Algebraic Combinatorics . 77 - 88 .
Ardila F, Benedetti C, Doker J ( 2009 ) . Matroid Polytopes and their Volumes . Discrete & Computational Geometry vol. 43 , ( 4 ) 841 - 854 .
Ardila F, Maneva E ( 2009 ) . Pruning processes and a new characterization of convex geometries . Discrete Mathematics vol. 309 , ( 10 ) 3083 - 3091 .
Ardila F, Fink A, Rincón F ( 2008 ) . Valuations for matroid polytope subdivisions .
Ardila F, Develin M ( 2008 ) . Tropical hyperplane arrangements and oriented matroids . Mathematische Zeitschrift vol. 262 , ( 4 ) 795 - 816 .
Ardila F ( 2007 ) . Transversal and cotransversal matroids via their representations . Fpsac 07 19th International Conference on Formal Power Series and Algebraic Combinatorics .
Ardila F, Billey S ( 2007 ) . Flag arrangements and triangulations of products of simplices . Advances in Mathematics vol. 214 , ( 2 ) 495 - 524 .
Ardila F ( 2007 ) . Transversal and Cotransversal Matroids via their Representations . The Electronic Journal of Combinatorics vol. 14 , ( 1 )
Ardila F ( 2007 ) . Computing the Tutte polynomial of a hyperplane arragement . Pacific Journal of Mathematics vol. 230 , ( 1 ) 1 - 26 .
Ardila F, Billey S ( 2006 ) . Flag arrangements and triangulations of products of simplices . Fpsac 2006 Proceedings 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics . 12 - 23 .
Ardila F, Klivans C, Williams L ( 2006 ) . The positive Bergman complex of an oriented matroid . European Journal of Combinatorics vol. 27 , ( 4 ) 577 - 591 .
Ardila F, Stanley RP ( 2006 ) . Pflasterungen . Mathematische Semesterberichte vol. 53 , ( 1 ) 17 - 43 .
Ardila F, Klivans CJ ( 2006 ) . The Bergman complex of a matroid and phylogenetic trees . Journal of Combinatorial Theory Series B vol. 96 , ( 1 ) 38 - 49 .
Ardila F, Reiner V, Williams L ( 2005 ) . Bergman complexes, coxeter arrangements, and graph associahedra . Fpsac Proceedings 2005 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics . 47 - 58 .
Ardila F ( 2005 ) . Subdominant Matroid Ultrametrics . Annals of Combinatorics vol. 8 , ( 4 ) 379 - 389 .
Ardila F ( 2004 ) . The Number of Halving Circles . American Mathematical Monthly vol. 111 , ( 7 )
Ardila F ( 2003 ) . The Catalan matroid . Journal of Combinatorial Theory Series A vol. 104 , ( 1 ) 49 - 62 .
Back to Search