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## Ardila Mantilla, Federico

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 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: 58 Publications since 2003
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#### Co-Authors

 13 single-authored 6 Castillo, Federico 5 Williams, Lauren K. 4 Doker, Jeffrey 4 Rincón, Felipe 4 Vindas-Meléndez, Andrés R. 3 Ceballos, Cesar 3 Postnikov, Alexander 3 Stanley, Richard Peter 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 Schindler, Anna 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 Seashore, Kim 1 Serrano, Luis G. 1 Sullivant, Seth
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#### 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 Discrete & Computational Geometry 3 SIAM Journal on Discrete Mathematics 2 The Mathematical Intelligencer 2 Journal of Combinatorial Theory. Series A 2 Advances in Applied Mathematics 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
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#### Fields

 37 Combinatorics (05-XX) 36 Convex and discrete geometry (52-XX) 9 Algebraic geometry (14-XX) 8 Geometry (51-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 5 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-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)

#### Citations contained in zbMATH Open

37 Publications have been cited 368 times in 317 Documents Cited by Year
The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021
Ardila, Federico; Klivans, Caroline J.
2006
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
2010
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
2011
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
2009
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
2012
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
2016
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
2010
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
2003
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
2007
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
2015
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
2007
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
2010
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
2005
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
2013
Staircase skew Schur functions are Schur $$P$$-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
2012
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
2007
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
2009
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
2015
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
2004
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
2004
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
2015
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
2017
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
2017
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
2013
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
2013
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
2014
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2007
The number of halving circles. Zbl 1187.52012
Ardila, Federico
2004
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
2016
Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241
Ardila, Federico; Block, Florian
2012
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
2006
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
2017
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
2019
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006
Ardila, Federico; Bliem, Thomas; Salazar, Dido
2011
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
2019
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
2017
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
2017
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
2017
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
2016
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
2016
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
2015
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
2015
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
2015
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
2014
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
2013
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
2013
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
2013
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
2012
Staircase skew Schur functions are Schur $$P$$-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
2012
Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241
Ardila, Federico; Block, Florian
2012
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
2011
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006
Ardila, Federico; Bliem, Thomas; Salazar, Dido
2011
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
2010
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
2010
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
2010
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
2009
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
2009
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
2007
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
2007
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
2007
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2007
The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021
Ardila, Federico; Klivans, Caroline J.
2006
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
2006
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
2005
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
2004
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
2004
The number of halving circles. Zbl 1187.52012
Ardila, Federico
2004
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
2003
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#### Cited by 419 Authors

 14 Ardila Mantilla, Federico 11 Fourier, Ghislain 10 Sturmfels, Bernd 9 Rincón, Felipe 6 Ceballos, Cesar 6 Fang, Xin 5 Castillo, Federico 5 Ehrenborg, Richard 5 Fink, Alex 5 Hampe, Simon 5 Hirai, Hiroshi 5 Williams, Lauren K. 4 Berget, Andrew 4 Chavez, Anastasia 4 Delucchi, Emanuele 4 Hetyei, Gábor 4 Katz, Eric 4 Liu, Fu 4 Moci, Luca 4 Ohsugi, Hidefumi 4 Postnikov, Alexander 4 Ranganathan, Dhruv 3 Cartwright, Dustin A. 3 Dickenstein, Alicia M. 3 Draisma, Jan 3 Eur, Christopher 3 Feigin, Evgeny 3 Gotti, Felix 3 Hamaker, Zachary 3 Hibi, Takayuki 3 Joswig, Michael 3 Kus, Deniz 3 Lenz, Matthias 3 Littelmann, Peter 3 Loho, Georg 3 Makhlin, Igor 3 Malvestuto, Francesco Mario 3 Marberg, Eric 3 Markwig, Hannah 3 Nenashev, Gleb V. 3 Oh, Suho 3 Oneto, Alessandro 3 Owen, Megan 3 Padrol, Arnau 3 Pak, Igor 3 Palezzato, Elisa 3 Pawlowski, Brendan Alexander 3 Pegel, Christoph 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 3 Speyer, David E. 3 Torielli, Michele 3 Vinzant, Cynthia 3 Yu, Josephine 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 Chávez Lomelí, Laura E. 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 Ferroni, Luis 2 Fife, Tara 2 Forcey, Stefan 2 Fröberg, Ralf 2 Gaiffi, Giovanni 2 Goubault, Eric 2 Guo, John 2 Hacking, Paul 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 ...and 319 more Authors
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#### Cited in 93 Serials

 28 Journal of Combinatorial Theory. Series A 19 European Journal of Combinatorics 17 Séminaire Lotharingien de Combinatoire 15 Advances in Mathematics 15 Discrete & Computational Geometry 13 Journal of Algebraic Combinatorics 10 Transactions of the American Mathematical Society 10 SIAM Journal on Discrete Mathematics 9 Discrete Mathematics 9 Journal of Pure and Applied Algebra 9 Advances in Applied Mathematics 9 The Electronic Journal of Combinatorics 8 Journal of Algebra 6 Algebraic Combinatorics 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Selecta Mathematica. New Series 5 Transformation Groups 4 Collectanea Mathematica 4 Compositio Mathematica 4 Journal of Combinatorial Theory. Series B 4 Linear Algebra and its Applications 4 Arnold Mathematical Journal 3 Communications in Mathematical Physics 3 Order 3 Experimental Mathematics 3 Journal of Integer Sequences 3 Journal of the European Mathematical Society (JEMS) 3 Research in the Mathematical Sciences 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 Algebras and Representation Theory 2 Advances in Geometry 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algebra and its Applications 2 Discrete Mathematics, Algorithms and Applications 1 American Mathematical Monthly 1 Information Processing Letters 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 of Number Theory 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 IMRN. International Mathematics Research Notices 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 The Australasian Journal of Combinatorics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Combinatorics, Probability and Computing 1 Journal of Lie Theory 1 Journal of Combinatorial Optimization 1 Journal of Graph Algorithms and Applications 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 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 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 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 46 Fields

 187 Combinatorics (05-XX) 161 Convex and discrete geometry (52-XX) 129 Algebraic geometry (14-XX) 35 Commutative algebra (13-XX) 23 Nonassociative rings and algebras (17-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 21 Computer science (68-XX) 18 Group theory and generalizations (20-XX) 12 Associative rings and algebras (16-XX) 10 Number theory (11-XX) 10 Geometry (51-XX) 10 Operations research, mathematical programming (90-XX) 8 Approximations and expansions (41-XX) 8 Biology and other natural sciences (92-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Linear and multilinear algebra; matrix theory (15-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) 3 Category theory; homological algebra (18-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-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 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 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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