Edit Profile Ardila Mantilla, Federico Compute Distance To: Compute Author ID: ardila.federico Published as: Ardila, Federico; Ardila-Mantilla, Federico Homepage: http://math.sfsu.edu/federico/ External Links: MGP · Wikidata · MathOverflow · dblp Documents Indexed: 57 Publications since 2003 all top 5 Co-Authors 13 single-authored 6 Castillo, Federico 5 Williams, Lauren K. 4 Doker, Jeffrey 4 Rincón, Felipe 3 Ceballos, Cesar 3 Postnikov, Alexander 3 Stanley, Richard Peter 3 Vindas-Meléndez, Andrés R. 2 Baker, Tia 2 Bastidas, Hanner 2 Benedetti, Carolina 2 Bliem, Thomas 2 Block, Florian 2 Guo, John 2 Henley, Michael 2 Klivans, Caroline J. 2 Salazar, Dido 2 Samper, José Alejandro 2 Supina, Mariel 2 Yatchak, Rika 1 Alex, Postnikov 1 Beck, Matthias 1 Billey, Sara C. 1 Boocher, Adam 1 Brugallé, Erwan 1 Christopher, Eur 1 Cortez, Ricardo 1 Develin, Mike 1 Eur, Christopher 1 Fink, Alex 1 Hoşten, Serkan 1 Maneva, Elitza N. 1 Owen, Megan 1 Pfeifle, Julian 1 Reiner, Victor 1 Ruiz, Amanda 1 Schindler, Anna 1 Seashore, Kim 1 Serrano, Luis G. 1 Sullivant, Seth all top 5 Serials 5 Notices of the American Mathematical Society 4 Séminaire Lotharingien de Combinatoire 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 3 SIAM Journal on Discrete Mathematics 2 The Mathematical Intelligencer 2 Journal of Combinatorial Theory. Series A 2 Advances in Applied Mathematics 2 Discrete & Computational Geometry 2 IMRN. International Mathematics Research Notices 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 1 American Mathematical Monthly 1 Discrete Mathematics 1 Mathematische Semesterberichte 1 Canadian Journal of Mathematics 1 The Fibonacci Quarterly 1 Journal of Combinatorial Theory. Series B 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Revista Colombiana de Matemáticas 1 European Journal of Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española all top 5 Fields 37 Combinatorics (05-XX) 35 Convex and discrete geometry (52-XX) 9 Algebraic geometry (14-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Geometry (51-XX) 4 Group theory and generalizations (20-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 37 Publications have been cited 347 times in 296 Documents Cited by ▼ Year ▼ The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021Ardila, Federico; Klivans, Caroline J. 67 2006 Combinatorics and geometry of power ideals. Zbl 1226.05019Ardila, Federico; Postnikov, Alexander 27 2010 Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009Ardila, Federico; Bliem, Thomas; Salazar, Dido 24 2011 Root polytopes and growth series of root lattices. Zbl 1261.52010Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim 23 2011 Matroid polytopes and their volumes. Zbl 1204.52016Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey 20 2010 Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024Ardila, Federico; Develin, Mike 19 2009 Geodesics in CAT(0) cubical complexes. Zbl 1275.05055Ardila, Federico; Owen, Megan; Sullivant, Seth 15 2012 Positroids and non-crossing partitions. Zbl 1325.05015Ardila, Federico; Rincón, Felipe; Williams, Lauren 13 2016 Valuations for matroid polytope subdivisions. Zbl 1231.05053Ardila, Federico; Fink, Alex; Rincón, Felipe 12 2010 The Catalan matroid. Zbl 1031.05030Ardila, Federico 12 2003 The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091Ardila, Federico; Castillo, Federico; Henley, Michael 10 2015 Flag arrangements and triangulations of products of simplices. Zbl 1194.14078Ardila, Federico; Billey, Sara 10 2007 Tilings. Zbl 1242.52022Ardila, Federico; Stanley, Richard P. 9 2010 Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011Ardila, Federico 9 2007 Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102Ardila, Federico; Reiner, Victor; Williams, Lauren 9 2005 Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169Ardila, Federico; Block, Florian 8 2013 Pruning processes and a new characterization of convex geometries. Zbl 1171.52001Ardila, Federico; Maneva, Elitza 6 2009 Semimatroids and their Tutte polynomials. Zbl 1136.05008Ardila, Federico 6 2007 Subdominant matroid ultrametrics. Zbl 1055.05023Ardila, Federico 6 2004 Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009Ardila, Federico 5 2015 Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137Ardila, Federico; Serrano, Luis G. 5 2012 Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009Ardila, Federico; Postnikov, Alexander 4 2015 The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129Ardila, Federico; Brugallé, Erwan 3 2017 Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251Ardila, Federico; Baker, Tia; Yatchak, Rika 3 2014 Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009Ardila, Federico; Doker, Jeffrey 3 2013 Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301Ardila, Federico; Ceballos, Cesar 3 2013 Positively oriented matroids are realizable. Zbl 1358.05045Ardila, Federico; Rincón, Felipe; Williams, Lauren 2 2017 The topology of the external activity complex of a matroid. Zbl 1344.05036Ardila, Federico; Castillo, Federico; Samper, José Alejandro 2 2016 The closure of a linear space in a product of lines. Zbl 1331.05051Ardila, Federico; Boocher, Adam 2 2016 Transversal and cotransversal matroids via their representations. Zbl 1113.05021Ardila, Federico 2 2007 The coefficients of a Fibonacci power series. Zbl 1076.11007Ardila, Federico 2 2004 The equivariant volumes of the permutahedron. Zbl 1436.51019Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R. 1 2019 The configuration space of a robotic arm in a tunnel. Zbl 1377.68257Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John 1 2017 Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241Ardila, Federico; Block, Florian 1 2012 Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006Ardila, Federico; Bliem, Thomas; Salazar, Dido 1 2011 The positive Bergman complex of an oriented matroid. Zbl 1088.52012Ardila, Federico; Klivans, Caroline; Williams, Lauren 1 2006 The number of halving circles. Zbl 1187.52012Ardila, Federico 1 2004 The equivariant volumes of the permutahedron. Zbl 1436.51019Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R. 1 2019 The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129Ardila, Federico; Brugallé, Erwan 3 2017 Positively oriented matroids are realizable. Zbl 1358.05045Ardila, Federico; Rincón, Felipe; Williams, Lauren 2 2017 The configuration space of a robotic arm in a tunnel. Zbl 1377.68257Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John 1 2017 Positroids and non-crossing partitions. Zbl 1325.05015Ardila, Federico; Rincón, Felipe; Williams, Lauren 13 2016 The topology of the external activity complex of a matroid. Zbl 1344.05036Ardila, Federico; Castillo, Federico; Samper, José Alejandro 2 2016 The closure of a linear space in a product of lines. Zbl 1331.05051Ardila, Federico; Boocher, Adam 2 2016 The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091Ardila, Federico; Castillo, Federico; Henley, Michael 10 2015 Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009Ardila, Federico 5 2015 Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009Ardila, Federico; Postnikov, Alexander 4 2015 Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251Ardila, Federico; Baker, Tia; Yatchak, Rika 3 2014 Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169Ardila, Federico; Block, Florian 8 2013 Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009Ardila, Federico; Doker, Jeffrey 3 2013 Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301Ardila, Federico; Ceballos, Cesar 3 2013 Geodesics in CAT(0) cubical complexes. Zbl 1275.05055Ardila, Federico; Owen, Megan; Sullivant, Seth 15 2012 Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137Ardila, Federico; Serrano, Luis G. 5 2012 Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241Ardila, Federico; Block, Florian 1 2012 Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009Ardila, Federico; Bliem, Thomas; Salazar, Dido 24 2011 Root polytopes and growth series of root lattices. Zbl 1261.52010Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim 23 2011 Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006Ardila, Federico; Bliem, Thomas; Salazar, Dido 1 2011 Combinatorics and geometry of power ideals. Zbl 1226.05019Ardila, Federico; Postnikov, Alexander 27 2010 Matroid polytopes and their volumes. Zbl 1204.52016Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey 20 2010 Valuations for matroid polytope subdivisions. Zbl 1231.05053Ardila, Federico; Fink, Alex; Rincón, Felipe 12 2010 Tilings. Zbl 1242.52022Ardila, Federico; Stanley, Richard P. 9 2010 Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024Ardila, Federico; Develin, Mike 19 2009 Pruning processes and a new characterization of convex geometries. Zbl 1171.52001Ardila, Federico; Maneva, Elitza 6 2009 Flag arrangements and triangulations of products of simplices. Zbl 1194.14078Ardila, Federico; Billey, Sara 10 2007 Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011Ardila, Federico 9 2007 Semimatroids and their Tutte polynomials. Zbl 1136.05008Ardila, Federico 6 2007 Transversal and cotransversal matroids via their representations. Zbl 1113.05021Ardila, Federico 2 2007 The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021Ardila, Federico; Klivans, Caroline J. 67 2006 The positive Bergman complex of an oriented matroid. Zbl 1088.52012Ardila, Federico; Klivans, Caroline; Williams, Lauren 1 2006 Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102Ardila, Federico; Reiner, Victor; Williams, Lauren 9 2005 Subdominant matroid ultrametrics. Zbl 1055.05023Ardila, Federico 6 2004 The coefficients of a Fibonacci power series. Zbl 1076.11007Ardila, Federico 2 2004 The number of halving circles. Zbl 1187.52012Ardila, Federico 1 2004 The Catalan matroid. Zbl 1031.05030Ardila, Federico 12 2003 all cited Publications top 5 cited Publications all top 5 Cited by 401 Authors 14 Ardila Mantilla, Federico 10 Fourier, Ghislain 10 Sturmfels, Bernd 7 Rincón, Felipe 6 Ceballos, Cesar 6 Fang, Xin 5 Ehrenborg, Richard 5 Fink, Alex 5 Hampe, Simon 5 Hirai, Hiroshi 5 Williams, Lauren K. 4 Berget, Andrew 4 Castillo, Federico 4 Chavez, Anastasia 4 Delucchi, Emanuele 4 Hetyei, Gábor 4 Katz, Eric 4 Moci, Luca 4 Ohsugi, Hidefumi 4 Postnikov, Alexander 3 Cartwright, Dustin A. 3 Dickenstein, Alicia M. 3 Eur, Christopher 3 Feigin, Evgeny 3 Gotti, Felix 3 Hibi, Takayuki 3 Joswig, Michael 3 Lenz, Matthias 3 Littelmann, Peter 3 Liu, Fu 3 Loho, Georg 3 Malvestuto, Francesco Mario 3 Markwig, Hannah 3 Nenashev, Gleb V. 3 Oh, Suho 3 Oneto, Alessandro 3 Owen, Megan 3 Padrol, Arnau 3 Pak, Igor 3 Pegel, Christoph 3 Ranganathan, Dhruv 3 Readdy, Margaret A. 3 Ren, Qingchun 3 Ron, Amos 3 Samper, José Alejandro 3 Sanyal, Raman 3 Sarmiento, Camilo 3 Schmitz, Kirsten 3 Shapiro, Boris Zalmanovich 2 Adiprasito, Karim Alexander 2 Alexandersson, Per 2 Allamigeon, Xavier 2 Bernstein, Daniel Irving 2 Bibak, Khodakhast 2 Billera, Louis J. 2 Billey, Sara C. 2 Block, Florian 2 Bouchat, Rachelle R. 2 Brown, Tricia Muldoon 2 Brugallé, Erwan 2 Cellini, Paola 2 Chan, Swee Hong 2 Chatelain, Vanessa 2 Chepoi, Victor D. 2 Choi, Seungil 2 Crapo, Henry H. 2 Denham, Graham 2 Dizier, Avery St. 2 Dlugosch, Martin 2 Dochtermann, Anton 2 Doker, Jeffrey 2 Draisma, Jan 2 Fife, Tara 2 Forcey, Stefan 2 Fröberg, Ralf 2 Gaiffi, Giovanni 2 Goubault, Eric 2 Guo, John 2 Hacking, Paul 2 Hamaker, Zachary 2 Higashitani, Akihiro 2 Holtz, Olga 2 Horn, Silke 2 Huh, June 2 Jensen, Anders Nedergaard 2 Kahle, Thomas 2 Kapron, Bruce M. 2 Khare, Apoorva 2 Kim, Sangwook 2 Kiritchenko, Valentina 2 Klivans, Caroline J. 2 Kus, Deniz 2 Kwon, Jae-Hoon 2 Lange, Carsten 2 Maclagan, Diane 2 Maftuleac, Daniela 2 Makhlin, Igor 2 Marberg, Eric 2 Markwig, Thomas 2 McAlmon, Robert ...and 301 more Authors all top 5 Cited in 87 Serials 28 Journal of Combinatorial Theory. Series A 20 European Journal of Combinatorics 17 Séminaire Lotharingien de Combinatoire 14 Advances in Mathematics 13 Discrete & Computational Geometry 13 Journal of Algebraic Combinatorics 10 Transactions of the American Mathematical Society 10 SIAM Journal on Discrete Mathematics 9 Journal of Pure and Applied Algebra 8 Discrete Mathematics 8 Journal of Algebra 8 Advances in Applied Mathematics 8 The Electronic Journal of Combinatorics 5 Mathematische Zeitschrift 5 Transformation Groups 5 Algebraic Combinatorics 4 Collectanea Mathematica 4 Compositio Mathematica 4 Journal of Combinatorial Theory. Series B 4 Proceedings of the American Mathematical Society 4 Linear Algebra and its Applications 4 Arnold Mathematical Journal 3 Order 3 Experimental Mathematics 3 Selecta Mathematica. New Series 3 Journal of the European Mathematical Society (JEMS) 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Beiträge zur Algebra und Geometrie 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Combinatorica 2 Journal of Symbolic Computation 2 Computational Geometry 2 Journal of Integer Sequences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Research in the Mathematical Sciences 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of the American Mathematical Society 1 International Journal of Computational Geometry & Applications 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mathematical Programming. Series A. Series B 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Combinatorics, Probability and Computing 1 Journal of Combinatorial Optimization 1 Journal of Graph Algorithms and Applications 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Advances in Geometry 1 Algebraic & Geometric Topology 1 Foundations of Computational Mathematics 1 Portugaliae Mathematica. Nova Série 1 Oberwolfach Reports 1 Contributions to Discrete Mathematics 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 Logical Methods in Computer Science 1 The College Mathematics Journal 1 Journal of Statistical Theory and Practice 1 Discrete Mathematics, Algorithms and Applications 1 The Journal of Software for Algebra and Geometry 1 Journal of Theoretical Biology 1 ISRN Discrete Mathematics 1 Forum of Mathematics, Sigma 1 ISRN Combinatorics 1 Mathematics 1 Special Matrices 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications all top 5 Cited in 46 Fields 172 Combinatorics (05-XX) 152 Convex and discrete geometry (52-XX) 119 Algebraic geometry (14-XX) 35 Commutative algebra (13-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 20 Nonassociative rings and algebras (17-XX) 18 Computer science (68-XX) 17 Group theory and generalizations (20-XX) 12 Associative rings and algebras (16-XX) 10 Operations research, mathematical programming (90-XX) 9 Number theory (11-XX) 8 Approximations and expansions (41-XX) 8 Geometry (51-XX) 8 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Category theory; homological algebra (18-XX) 3 Differential geometry (53-XX) 2 Field theory and polynomials (12-XX) 2 \(K\)-theory (19-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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