federico ardila
assistant professor
department of mathematics
san francisco state university


. research . teaching . cv . personal . news .



SOME RECENT TALKS.

o Tropical linear spaces. (MSRI minicourse, PRIMA congress)
o Combinatorics and geometry of power ideals. (FPSAC 2009)
o Tropical oriented matroids. (MIT combinatorics seminar)
o Flag arrangements and triangulations of products of simplices. (Berkeley combinatorics seminar)
o Teselaciones. (Colombian Mathematics Congress public lecture)



MY PAPERS AND PREPRINTS.

o Combinatorics and geometry of power ideals.
        with Alex Postnikov
        (Transactions of the American Mathematical Society, to appear.)
o Root polytopes and growth series of root lattices.
        with Matt Beck, Serkan Hosten, Julian Pfeifle, and Kim Seashore
        (SIAM Journal of Discrete Mathematics, to appear.)
o Matroid polytopes and their volumes.
        with Carolina Benedetti and Jeff Doker
        (Discrete and Computational Geometry, to appear.)
o When do two planted graphs have the same cotransversal matroid?
        with Amanda Ruiz
        (submitted, 2008.)
o Valuations for matroid polytope subdivisions.
        with Alex Fink and Felipe Rincon
        (Canadian Mathematical Bulletin, to appear.)
o Tropical hyperplane arrangements and oriented matroids.
        with Mike Develin
        (Mathematische Zeitschrift, 262 (2009) 795-816.)
o Pruning processes and a new characterization of convex geometries.
        with Elitza Maneva
        (Discrete Mathematics, 309 (2009) 3083-3091.)
o Flag arrangements and triangulations of products of simplices.
        with Sara Billey
        (Advances in Mathematics, 214 (2007) 495-524.)
o Transversal and cotransversal matroids via their representations.
        (Electronic Journal of Combinatorics, 14 (2007), #N6.)
o Bergman complexes, Coxeter arrangements, and graph associahedra.
        with Vic Reiner and Lauren Williams
        (Seminaire Lotharingien de Combinatoire, 54A (2006), Article B54Aj)
o Tilings.
        with Richard Stanley
        (Clay Mathematics Institute Online Library; Mathematical Intelligencer, to appear.)
o Pflasterungen.
        translation of "Tilings" to German by Gunter Ziegler
        (Mathematische Semesterberichte, 53 (2006), 17-43.)
o Teselaciones.
        translation of "Tilings" to Spanish by Carolina Benedetti
        (Gaceta de la Real Sociedad Matematica Espanola, to appear.)
o The positive Bergman complex of an oriented matroid.
        with Carly Klivans and Lauren Williams
        (European Journal of Combinatorics, 27 (2006), 577-591.)
o The Bergman complex of a matroid and phylogenetic trees.
        with Carly Klivans
        (Journal of Combinatorial Theory, Series B, 96 (2006), 38-49.)
o Subdominant matroid ultrametrics.
        (Annals of Combinatorics, 8 (2004), 379-389.)
o Doce lecciones en combinatoria algebraica.
        with Mercedes Rosas and Mark Skandera
        (in preparation)
o Semimatroids and their Tutte polynomial.
        (Revista Colombiana de Matemáticas, 41 (2007) 39-66.)
o Computing the Tutte polynomial of a hyperplane arrangement.
        (Pacific Journal of Mathematics, 230 (2007), 1-26.)
o The Catalan matroid.
        (Journal of Combinatorial Theory, Series A., 104 (2003), 49-62.)
o Enumerative and algebraic aspects of matroids and hyperplane arrangements.
        (my Ph.D. thesis, MIT, 2003).
o The number of halving circles.
        (American Mathematical Monthly, 111 (2004), 586-592)
o She knows I know.
        (American Mathematical Monthly, to appear)
o The coefficients of a Fibonacci power series.
        (Fibonacci Quarterly, 42 (2004), 202-204)
o A generalization of Euler's R>=2r.
        (Crux Mathematicorum, 21 (1995), 1-2.) (Note.)
o some problems i have proposed.



These are .pdf files. If you prefer another format, I will gladly send it to you.