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Ardila Mantilla, Federico

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Author ID: ardila.federico Recent zbMATH articles by "Ardila Mantilla, 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

Publications by Year

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.
70
2006
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
27
2010
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
26
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
24
2011
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
22
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
20
2009
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
16
2012
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
16
2016
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
13
2010
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
12
2003
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
11
2007
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
10
2015
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
10
2007
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
9
2010
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
9
2005
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
7
2013
Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
6
2012
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
6
2007
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
6
2009
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
6
2015
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
4
2004
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
4
2004
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
4
2015
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
4
2017
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
4
2017
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
3
2013
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
3
2013
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
3
2014
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2
2007
The number of halving circles. Zbl 1187.52012
Ardila, Federico
2
2004
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
2
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
2
2016
Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241
Ardila, Federico; Block, Florian
1
2012
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
1
2006
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
1
2017
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
1
2019
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006
Ardila, Federico; Bliem, Thomas; Salazar, Dido
1
2011
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
1
2019
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
4
2017
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
4
2017
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
1
2017
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
16
2016
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
2
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
2
2016
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
10
2015
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
6
2015
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
4
2015
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
3
2014
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
7
2013
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
3
2013
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
3
2013
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
16
2012
Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
6
2012
Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241
Ardila, Federico; Block, Florian
1
2012
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
26
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
24
2011
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1355.17006
Ardila, Federico; Bliem, Thomas; Salazar, Dido
1
2011
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
27
2010
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
22
2010
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
13
2010
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
9
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
20
2009
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
6
2009
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
11
2007
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
10
2007
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
6
2007
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2
2007
The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021
Ardila, Federico; Klivans, Caroline J.
70
2006
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
1
2006
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
9
2005
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
4
2004
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
4
2004
The number of halving circles. Zbl 1187.52012
Ardila, Federico
2
2004
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
12
2003
all top 5

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
all top 5

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
all top 5

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)

Citations by Year

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