federico ardila
associate professor
department of mathematics
san francisco state university


. research . teaching . cv . personal . news .



SOME RECENT TALKS.

o Lifted generalized permutahedra and composition polynomials. (Joint Math. Meetings 2012)
o Complejos cubicos CAT(0). (Congreso Colombiano de Matematicas 2011)
o Marked Poset Polytopes in Representation Theory. (FPSAC 2011)
o Severi degrees of toric surfaces are eventually polynomial. (MIT 2010)
o Double Hurwitz numbers as splines. (Joint Math. Meetings 2010)
o CAT(0) cubical complexes. (Joint Math. Meetings 2010)
o The Hopf monoid of generalized permutohedra. (SIAM 2010)
o Combinatorics and geometry of power ideals. (FPSAC 2009)
o Tropical linear spaces. (MSRI minicourse, PRIMA congress 2008)
o Tropical oriented matroids. (MIT 2007)
o Flag arrangements and triangulations of products of simplices. (Berkeley 2006)
o Bergman complexes. (Latin American Algebra Colloquium 2005)

o Counting Lattice Points in Polytopes. (SACNAS 2011)
o Teselaciones. (Colombian Mathematics Congress public lecture 2005)



MY PAPERS AND PREPRINTS.

o Lifted generalized permutahedra and composition polynomials.
        with Jeff Doker
o Acyclic systems of permutations and fine mixed subdivisions of simplices.
        with Cesar Ceballos
o Universal polynomials for Severi degrees of toric surfaces.
        with Florian Block
o Staircase Schur functions are P-Schur positive.
        with Luis Serrano
        (Journal of Algebraic Combinatorics, to appear.)
o Geodesics in CAT(0) cubical complexes.
        with Megan Owen and Seth Sullivant
        (Advances in Applied Mathematics, to appear.)
o Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes.
        with Thomas Bliem and Dido Salazar
        (Journal of Combinatorial Theory Series A, 118 (2011) 2454-2462.)
o Combinatorics and geometry of power ideals.
        with Alex Postnikov
        (Transactions of the American Mathematical Society 362 (2010) 4357-4384..)
o Root polytopes and growth series of root lattices.
        with Matt Beck, Serkan Hosten, Julian Pfeifle, and Kim Seashore
        (SIAM Journal of Discrete Mathematics 25 (2011) 360-378.)
o Matroid polytopes and their volumes.
        with Carolina Benedetti and Jeff Doker
        (Discrete and Computational Geometry 43 (2010) 841-854.)
o When do two planted graphs have the same cotransversal matroid?
        with Amanda Ruiz
        (Boletin de la Sociedad Matematica Mexicana, to appear.)
o Valuations for matroid polytope subdivisions.
        with Alex Fink and Felipe Rincon
        (Canadian Journal of Mathematics, 62 (2010) 1228-1245.)
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 32 (2010) 32-43.)
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 14 (2011) 463-490.)
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 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.



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