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Author ID: ardila.federico Recent zbMATH articles by "Ardila, Federico"
Published as: Ardila, Federico; Ardila-Mantilla, Federico
Homepage: http://math.sfsu.edu/federico/
External Links: MGP · Wikidata · Google Scholar · MathOverflow · Twitter · dblp
Documents Indexed: 76 Publications since 2003, including 1 Book and 10 Additional arXiv Preprints
1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 51 Co-Authors with 56 Joint Publications
978 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 624 times in 499 Documents Cited by Year
The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021
Ardila, Federico; Klivans, Caroline J.
102
2006
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
36
2010
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
36
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
33
2011
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
29
2016
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
29
2010
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
26
2012
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
26
2009
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
20
2010
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
19
2003
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
17
2007
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
16
2007
Coxeter submodular functions and deformations of Coxeter permutahedra. Zbl 1435.05234
Ardila, Federico; Castillo, Federico; Eur, Christopher; Postnikov, Alexander
16
2020
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
14
2010
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
13
2015
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
12
2015
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
11
2005
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
11
2016
Lagrangian geometry of matroids. Zbl 1512.05068
Ardila, Federico; Denham, Graham; Huh, June
11
2023
The geometry of matroids. Zbl 1398.05050
Ardila, Federico
11
2018
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
10
2007
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
10
2017
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
10
2013
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
10
2017
Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
9
2012
Hopf monoids and generalized permutahedra. Zbl 07753149
Aguiar, Marcelo; Ardila, Federico
9
2023
Valuations and the Hopf monoid of generalized permutahedra. Zbl 1511.52016
Ardila, Federico; Sanchez, Mario
9
2023
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
8
2004
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
8
2014
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
6
2009
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
6
2015
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
6
2013
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
4
2004
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
4
2017
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
4
2013
The number of halving circles. Zbl 1187.52012
Ardila, Federico
3
2004
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
3
2016
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
3
2019
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2
2007
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
2
2006
The harmonic polytope. Zbl 1476.52009
Ardila, Federico; Escobar, Laura
2
2021
CAT(0) geometry, robots, and society. Zbl 1499.68350
Ardila-Mantilla, Federico
2
2020
When do two planted graphs have the same cotransversal matroid? Zbl 1247.05051
Ardila, Federico; Ruiz, Amanda
1
2010
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 Ehrhart theory of the permutahedron. Zbl 1451.14138
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R.
1
2020
Universal polynomials for Severi degrees of toric surfaces. Zbl 1440.14241
Ardila, Federico; Block, Florian
1
2012
Deformations of Coxeter permutahedra and Coxeter submodular functions. Zbl 1435.05233
Ardila, Federico; Castillo, Federico; Christopher, Eur; Alex, Postnikov
1
2019
Positroids, non-crossing partitions, and positively oriented matroids. Zbl 1393.05068
Ardila, Federico; Rincón, Felipe; Williams, Lauren
1
2014
Lagrangian geometry of matroids. Zbl 1512.05068
Ardila, Federico; Denham, Graham; Huh, June
11
2023
Hopf monoids and generalized permutahedra. Zbl 07753149
Aguiar, Marcelo; Ardila, Federico
9
2023
Valuations and the Hopf monoid of generalized permutahedra. Zbl 1511.52016
Ardila, Federico; Sanchez, Mario
9
2023
The harmonic polytope. Zbl 1476.52009
Ardila, Federico; Escobar, Laura
2
2021
Coxeter submodular functions and deformations of Coxeter permutahedra. Zbl 1435.05234
Ardila, Federico; Castillo, Federico; Eur, Christopher; Postnikov, Alexander
16
2020
CAT(0) geometry, robots, and society. Zbl 1499.68350
Ardila-Mantilla, Federico
2
2020
The equivariant Ehrhart theory of the permutahedron. Zbl 1451.14138
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R.
1
2020
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
3
2019
Deformations of Coxeter permutahedra and Coxeter submodular functions. Zbl 1435.05233
Ardila, Federico; Castillo, Federico; Christopher, Eur; Alex, Postnikov
1
2019
The geometry of matroids. Zbl 1398.05050
Ardila, Federico
11
2018
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
10
2017
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
10
2017
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
4
2017
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
29
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
11
2016
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
3
2016
The arithmetic Tutte polynomials of the classical root systems. Zbl 1317.05091
Ardila, Federico; Castillo, Federico; Henley, Michael
13
2015
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
12
2015
Correction to: “Combinatorics and geometry of power ideals”: two counterexamples for power ideals of hyperplane arrangements. Zbl 1315.05009
Ardila, Federico; Postnikov, Alexander
6
2015
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
8
2014
Positroids, non-crossing partitions, and positively oriented matroids. Zbl 1393.05068
Ardila, Federico; Rincón, Felipe; Williams, Lauren
1
2014
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
10
2013
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
6
2013
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
4
2013
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
26
2012
Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
9
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
36
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
33
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
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
36
2010
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
29
2010
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
20
2010
Tilings. Zbl 1242.52022
Ardila, Federico; Stanley, Richard P.
14
2010
When do two planted graphs have the same cotransversal matroid? Zbl 1247.05051
Ardila, Federico; Ruiz, Amanda
1
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
26
2009
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
6
2009
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
17
2007
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
16
2007
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
10
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.
102
2006
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
2
2006
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
11
2005
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
8
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
3
2004
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
19
2003
all top 5

Cited by 627 Authors

23 Ardila, Federico
12 Fourier, Ghislain
11 Rincón, Felipe
10 Castillo, Federico
10 Sturmfels, Bernd
8 Eur, Christopher
7 Berget, Andrew
7 Ceballos, Cesar
7 Fang, Xin
7 Hirai, Hiroshi
7 Markwig, Hannah
7 Padrol, Arnau
7 Pilaud, Vincent
7 Postnikov, Alexander E.
7 Williams, Lauren K.
6 Delucchi, Emanuele
6 Ehrenborg, Richard
6 Ferroni, Luis
6 Fink, Alex
6 Galashin, Pavel
6 Hampe, Simon
6 Higashitani, Akihiro
6 Ohsugi, Hidefumi
5 Chavez, Anastasia
5 Denham, Graham
5 Hetyei, Gábor
5 Huh, June
5 Katz, Eric
5 Loho, Georg
5 Makhlin, Igor
5 Ranganathan, Dhruv
5 Samper, José Alejandro
4 Chepoi, Victor D.
4 Hamaker, Zachary
4 Joswig, Michael
4 Karp, Steven N.
4 Lenz, Matthias
4 Liu, Fu
4 Maclagan, Diane
4 Marberg, Eric
4 Moci, Luca
4 Nenashev, Gleb V.
4 Oh, Suho
4 Owen, Megan
4 Pak, Igor
4 Readdy, Margaret A.
4 Sanyal, Raman
4 Tsuchiya, Akiyoshi
4 Vindas-Meléndez, Andrés R.
4 Yoshida, Ruriko
4 Yu, Josephine
4 Zhang, Leon
3 Agarwala, Susama
3 Bernstein, Daniel Irving
3 Billey, Sara C.
3 Bouchat, Rachelle R.
3 Brown, Tricia Muldoon
3 Brugallé, Erwan
3 Cartwright, Dustin A.
3 Chalopin, Jérémie
3 Dickenstein, Alicia M.
3 Dizier, Avery St.
3 Dochtermann, Anton
3 Draisma, Jan
3 Feigin, Evgeny
3 Goeckner, Bennet
3 Goldner, Christoph
3 Gotti, Felix
3 Guo, John
3 Hibi, Takayuki
3 Jochemko, Katharina Victoria
3 Kus, Deniz
3 Lam, Thomas F.
3 Littelmann, Peter
3 Malvestuto, Francesco Mario
3 Mikhalkin, Grigory B.
3 Morales, Alejandro Henry
3 Oneto, Alessandro
3 Palezzato, Elisa
3 Pawlowski, Brendan Alexander
3 Pegel, Christoph
3 Pešović, Marko
3 Randriamaro, Hery
3 Rau, Johannes
3 Ren, Qingchun
3 Ron, Amos
3 Rowlands, Rowan
3 Santos, Francisco
3 Sarmiento, Camilo
3 Schmitz, Kirsten
3 Shapiro, Boris Zalmanovich
3 Shaw, Kris
3 Speyer, David E.
3 Stojadinović, Tanja
3 Tewari, Vasu V.
3 Torielli, Michele
3 Vinzant, Cynthia
3 Werner, Annette
2 Adiprasito, Karim Alexander
2 Aguiar, Marcelo
...and 527 more Authors
all top 5

Cited in 130 Serials

35 Journal of Combinatorial Theory. Series A
27 Séminaire Lotharingien de Combinatoire
24 Discrete & Computational Geometry
24 The Electronic Journal of Combinatorics
21 Advances in Mathematics
21 European Journal of Combinatorics
17 Advances in Applied Mathematics
17 Journal of Algebraic Combinatorics
15 Algebraic Combinatorics
13 SIAM Journal on Discrete Mathematics
10 Discrete Mathematics
10 Transactions of the American Mathematical Society
9 Journal of Pure and Applied Algebra
8 Journal of Algebra
8 Proceedings of the American Mathematical Society
7 Selecta Mathematica. New Series
7 Transformation Groups
6 Mathematische Zeitschrift
6 Combinatorial Theory
5 Collectanea Mathematica
5 Compositio Mathematica
5 Advances in Geometry
5 Arnold Mathematical Journal
4 Communications in Mathematical Physics
4 Bulletin of the London Mathematical Society
4 Journal of Combinatorial Theory. Series B
4 Memoirs of the American Mathematical Society
4 Linear Algebra and its Applications
4 Journal of Integer Sequences
4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
4 Research in the Mathematical Sciences
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Order
3 Journal of Symbolic Computation
3 Experimental Mathematics
3 Vietnam Journal of Mathematics
3 Annals of Combinatorics
3 Journal of the European Mathematical Society (JEMS)
3 Discrete Mathematics, Algorithms and Applications
3 Algebraic Statistics
2 Discrete Applied Mathematics
2 Beiträge zur Algebra und Geometrie
2 Geometriae Dedicata
2 Inventiones Mathematicae
2 Journal of Computer and System Sciences
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Combinatorica
2 Acta Mathematica Hungarica
2 Journal of the American Mathematical Society
2 Computational Geometry
2 IMRN. International Mathematics Research Notices
2 Designs, Codes and Cryptography
2 Algebras and Representation Theory
2 Journal of High Energy Physics
2 Algebraic & Geometric Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Algebra and its Applications
2 Contributions to Discrete Mathematics
2 Applicable Analysis and Discrete Mathematics
2 Ars Mathematica Contemporanea
2 Journal de l’École Polytechnique – Mathématiques
2 Transactions of the American Mathematical Society. Series B
1 American Mathematical Monthly
1 Communications in Algebra
1 Computer Physics Communications
1 Information Processing Letters
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 The Mathematical Intelligencer
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Le Matematiche
1 Mathematika
1 Nagoya Mathematical Journal
1 Numerische Mathematik
1 Programming and Computer Software
1 Theoretical Computer Science
1 Transactions of the Moscow Mathematical Society
1 Tsukuba Journal of Mathematics
1 Chinese Annals of Mathematics. Series B
1 Graphs and Combinatorics
1 International Journal of Computational Geometry & Applications
1 International Journal of Algebra and Computation
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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 Computational Complexity
1 Combinatorics, Probability and Computing
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Journal of Lie Theory
1 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 30 more Serials
all top 5

Cited in 47 Fields

301 Combinatorics (05-XX)
270 Convex and discrete geometry (52-XX)
209 Algebraic geometry (14-XX)
53 Commutative algebra (13-XX)
36 Order, lattices, ordered algebraic structures (06-XX)
32 Group theory and generalizations (20-XX)
29 Nonassociative rings and algebras (17-XX)
26 Computer science (68-XX)
22 Number theory (11-XX)
21 Associative rings and algebras (16-XX)
17 Geometry (51-XX)
15 Operations research, mathematical programming (90-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Biology and other natural sciences (92-XX)
11 Manifolds and cell complexes (57-XX)
11 Quantum theory (81-XX)
10 Category theory; homological algebra (18-XX)
10 Algebraic topology (55-XX)
10 Statistics (62-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Probability theory and stochastic processes (60-XX)
8 Approximations and expansions (41-XX)
6 Real functions (26-XX)
6 Operator theory (47-XX)
5 Functions of a complex variable (30-XX)
5 Numerical analysis (65-XX)
5 Mechanics of particles and systems (70-XX)
4 Special functions (33-XX)
4 Differential geometry (53-XX)
3 Functional analysis (46-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 \(K\)-theory (19-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 General topology (54-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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