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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: 77 Publications since 2003, including 1 Book and 8 Additional arXiv Preprints
1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 53 Co-Authors with 57 Joint Publications
1,007 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 742 times in 571 Documents Cited by Year
The Bergman complex of a matroid and phylogenetic trees. Zbl 1082.05021
Ardila, Federico; Klivans, Caroline J.
118
2006
Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. Zbl 1234.52009
Ardila, Federico; Bliem, Thomas; Salazar, Dido
44
2011
Matroid polytopes and their volumes. Zbl 1204.52016
Ardila, Federico; Benedetti, Carolina; Doker, Jeffrey
43
2010
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
38
2016
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
36
2011
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
30
2010
Tropical hyperplane arrangements and oriented matroids. Zbl 1175.52024
Ardila, Federico; Develin, Mike
28
2009
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
27
2012
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
25
2010
Coxeter submodular functions and deformations of Coxeter permutahedra. Zbl 1435.05234
Ardila, Federico; Castillo, Federico; Eur, Christopher; Postnikov, Alexander
23
2020
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
20
2003
Hopf monoids and generalized permutahedra. Zbl 07753149
Aguiar, Marcelo; Ardila, Federico
20
2023
Flag arrangements and triangulations of products of simplices. Zbl 1194.14078
Ardila, Federico; Billey, Sara
19
2007
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
18
2007
Lagrangian geometry of matroids. Zbl 1512.05068
Ardila, Federico; Denham, Graham; Huh, June
17
2023
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
16
2017
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
14
2015
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
13
2016
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
13
2015
The geometry of matroids. Zbl 1398.05050
Ardila, Federico
13
2018
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
12
2007
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
12
2017
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
12
2005
Valuations and the Hopf monoid of generalized permutahedra. Zbl 1511.52016
Ardila, Federico; Sanchez, Mario
12
2023
Universal polynomials for Severi degrees of toric surfaces. Zbl 1408.14169
Ardila, Federico; Block, Florian
11
2013
Moving robots efficiently using the combinatorics of CAT(0) cubical complexes. Zbl 1339.68251
Ardila, Federico; Baker, Tia; Yatchak, Rika
10
2014
Staircase skew Schur functions are Schur \(P\)-positive. Zbl 1253.05137
Ardila, Federico; Serrano, Luis G.
9
2012
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
8
2004
Pruning processes and a new characterization of convex geometries. Zbl 1171.52001
Ardila, Federico; Maneva, Elitza
6
2009
Lifted generalized permutahedra and composition polynomials. Zbl 1280.52009
Ardila, Federico; Doker, Jeffrey
6
2013
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
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
5
2004
Acyclic systems of permutations and fine mixed subdivisions of simplices. Zbl 1267.05301
Ardila, Federico; Ceballos, Cesar
5
2013
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
5
2017
The harmonic polytope. Zbl 1476.52009
Ardila, Federico; Escobar, Laura
5
2021
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
4
2019
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
3
2006
CAT(0) geometry, robots, and society. Zbl 1499.68350
Ardila-Mantilla, Federico
3
2020
The number of halving circles. Zbl 1187.52012
Ardila, Federico
3
2004
The bipermutahedron. Zbl 1502.52015
Ardila, Federico
3
2022
The topology of the external activity complex of a matroid. Zbl 1344.05036
Ardila, Federico; Castillo, Federico; Samper, José Alejandro
3
2016
Transversal and cotransversal matroids via their representations. Zbl 1113.05021
Ardila, Federico
2
2007
The equivariant Ehrhart theory of the permutahedron. Zbl 1451.14138
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R.
2
2020
Deformations of Coxeter permutahedra and Coxeter submodular functions. Zbl 1435.05233
Ardila, Federico; Castillo, Federico; Christopher, Eur; Alex, Postnikov
1
2019
When do two planted graphs have the same cotransversal matroid? Zbl 1247.05051
Ardila, Federico; Ruiz, Amanda
1
2010
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 1440.14241
Ardila, Federico; Block, Florian
1
2012
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 geometry of geometries: matroid theory, old and new. Zbl 1535.05051
Ardila-Mantilla, Federico
1
2023
Hopf monoids and generalized permutahedra. Zbl 07753149
Aguiar, Marcelo; Ardila, Federico
20
2023
Lagrangian geometry of matroids. Zbl 1512.05068
Ardila, Federico; Denham, Graham; Huh, June
17
2023
Valuations and the Hopf monoid of generalized permutahedra. Zbl 1511.52016
Ardila, Federico; Sanchez, Mario
12
2023
The geometry of geometries: matroid theory, old and new. Zbl 1535.05051
Ardila-Mantilla, Federico
1
2023
The bipermutahedron. Zbl 1502.52015
Ardila, Federico
3
2022
The harmonic polytope. Zbl 1476.52009
Ardila, Federico; Escobar, Laura
5
2021
Coxeter submodular functions and deformations of Coxeter permutahedra. Zbl 1435.05234
Ardila, Federico; Castillo, Federico; Eur, Christopher; Postnikov, Alexander
23
2020
CAT(0) geometry, robots, and society. Zbl 1499.68350
Ardila-Mantilla, Federico
3
2020
The equivariant Ehrhart theory of the permutahedron. Zbl 1451.14138
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R.
2
2020
The equivariant volumes of the permutahedron. Zbl 1436.51019
Ardila, Federico; Schindler, Anna; Vindas-Meléndez, Andrés R.
4
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
13
2018
Positively oriented matroids are realizable. Zbl 1358.05045
Ardila, Federico; Rincón, Felipe; Williams, Lauren
16
2017
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial. Zbl 1405.14129
Ardila, Federico; Brugallé, Erwan
12
2017
The configuration space of a robotic arm in a tunnel. Zbl 1377.68257
Ardila, Federico; Bastidas, Hanner; Ceballos, Cesar; Guo, John
5
2017
Positroids and non-crossing partitions. Zbl 1325.05015
Ardila, Federico; Rincón, Felipe; Williams, Lauren
38
2016
The closure of a linear space in a product of lines. Zbl 1331.05051
Ardila, Federico; Boocher, Adam
13
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
14
2015
Algebraic and geometric methods in enumerative combinatorics. Zbl 1330.05009
Ardila, Federico
13
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
10
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
11
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
5
2013
Geodesics in CAT(0) cubical complexes. Zbl 1275.05055
Ardila, Federico; Owen, Megan; Sullivant, Seth
27
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
44
2011
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
36
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
43
2010
Combinatorics and geometry of power ideals. Zbl 1226.05019
Ardila, Federico; Postnikov, Alexander
30
2010
Valuations for matroid polytope subdivisions. Zbl 1231.05053
Ardila, Federico; Fink, Alex; Rincón, Felipe
25
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
28
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
19
2007
Computing the Tutte polynomial of a hyperplane arragement. Zbl 1152.52011
Ardila, Federico
18
2007
Semimatroids and their Tutte polynomials. Zbl 1136.05008
Ardila, Federico
12
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.
118
2006
The positive Bergman complex of an oriented matroid. Zbl 1088.52012
Ardila, Federico; Klivans, Caroline; Williams, Lauren
3
2006
Bergman complexes, Coxeter arrangements, and graph associahedra. Zbl 1178.05102
Ardila, Federico; Reiner, Victor; Williams, Lauren
12
2005
Subdominant matroid ultrametrics. Zbl 1055.05023
Ardila, Federico
8
2004
The coefficients of a Fibonacci power series. Zbl 1076.11007
Ardila, Federico
5
2004
The number of halving circles. Zbl 1187.52012
Ardila, Federico
3
2004
The Catalan matroid. Zbl 1031.05030
Ardila, Federico
20
2003
all top 5

Cited by 705 Authors

26 Ardila, Federico
13 Eur, Christopher
12 Fourier, Ghislain
12 Rincón, Felipe
11 Castillo, Federico
11 Sturmfels, Bernd
9 Ferroni, Luis
8 Markwig, Hannah
8 Pilaud, Vincent
8 Postnikov, Alexander E.
7 Berget, Andrew
7 Ceballos, Cesar
7 Fang, Xin
7 Fink, Alex
7 Higashitani, Akihiro
7 Hirai, Hiroshi
7 Makhlin, Igor
7 Padrol, Arnau
7 Williams, Lauren K.
6 Delucchi, Emanuele
6 Ehrenborg, Richard
6 Galashin, Pavel
6 Hampe, Simon
6 Huh, June
6 Loho, Georg
6 Ohsugi, Hidefumi
6 Samper, José Alejandro
5 Chavez, Anastasia
5 Denham, Graham
5 Feigin, Evgeny
5 Hetyei, Gábor
5 Joswig, Michael
5 Pak, Igor
5 Ranganathan, Dhruv
5 Sanyal, Raman
5 Yoshida, Ruriko
4 Billey, Sara C.
4 Chepoi, Victor D.
4 Hamaker, Zachary
4 Karp, Steven N.
4 Katz, Eric
4 Lam, Thomas F.
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 Pešović, Marko
4 Readdy, Margaret A.
4 Shaw, Kris
4 Speyer, David E.
4 Tsuchiya, Akiyoshi
4 Vindas-Meléndez, Andrés R.
4 Vinzant, Cynthia
4 Yu, Josephine
4 Zhang, Leon
3 Agarwala, Susama
3 Backman, Spencer
3 Bernstein, Daniel Irving
3 Bonin, Joseph E.
3 Bouchat, Rachelle R.
3 Brown, Tricia Muldoon
3 Brugallé, Erwan
3 Cartwright, Dustin A.
3 Chalopin, Jérémie
3 Chan, Swee Hong
3 Dickenstein, Alicia M.
3 Dizier, Avery St.
3 Dochtermann, Anton
3 Draisma, Jan
3 Early, Nicholas
3 Goeckner, Bennet
3 Goldner, Christoph
3 Gotti, Felix
3 Guo, John
3 Hibi, Takayuki
3 Jochemko, Katharina Victoria
3 Kannan, Siddarth
3 Knauer, Kolja B.
3 Kus, Deniz
3 Larson, Matt
3 Li, Shiyue
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 Randriamaro, Hery
3 Rau, Johannes
3 Ren, Qingchun
3 Ron, Amos
3 Rowlands, Rowan
3 Santos, Francisco
3 Sarmiento, Camilo
...and 605 more Authors
all top 5

Cited in 141 Serials

36 Journal of Combinatorial Theory. Series A
29 Séminaire Lotharingien de Combinatoire
27 Discrete & Computational Geometry
27 The Electronic Journal of Combinatorics
25 Advances in Mathematics
23 European Journal of Combinatorics
18 Advances in Applied Mathematics
18 Journal of Algebraic Combinatorics
18 Algebraic Combinatorics
15 SIAM Journal on Discrete Mathematics
12 Discrete Mathematics
11 Selecta Mathematica. New Series
10 Journal of Pure and Applied Algebra
10 Transactions of the American Mathematical Society
9 Journal of Algebra
9 Proceedings of the American Mathematical Society
7 Mathematische Zeitschrift
7 Transformation Groups
7 Combinatorial Theory
6 Proceedings of the London Mathematical Society. Third Series
6 Advances in Geometry
5 Bulletin of the London Mathematical Society
5 Collectanea Mathematica
5 Compositio Mathematica
5 Annals of Combinatorics
5 Arnold Mathematical Journal
4 Communications in Mathematical Physics
4 Journal of Combinatorial Theory. Series B
4 Journal of the London Mathematical Society. Second Series
4 Memoirs of the American Mathematical Society
4 Journal of Symbolic Computation
4 Linear Algebra and its Applications
4 Journal of Integer Sequences
4 Journal of the European Mathematical Society (JEMS)
4 Journal of High Energy Physics
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 Combinatorica
3 Order
3 Experimental Mathematics
3 Vietnam Journal of Mathematics
3 Discrete Mathematics, Algorithms and Applications
3 Forum of Mathematics, Sigma
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 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 Mathematical Programming. Series A. Series B
2 Algebras and Representation Theory
2 Algebraic & Geometric Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Algebra and its Applications
2 Oberwolfach Reports
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 Bulletin of Mathematical Biology
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 Osaka Journal of Mathematics
1 Programming and Computer Software
1 Publications de l’Institut Mathématique. Nouvelle Série
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 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
...and 41 more Serials
all top 5

Cited in 48 Fields

352 Combinatorics (05-XX)
308 Convex and discrete geometry (52-XX)
244 Algebraic geometry (14-XX)
60 Commutative algebra (13-XX)
42 Order, lattices, ordered algebraic structures (06-XX)
34 Nonassociative rings and algebras (17-XX)
33 Group theory and generalizations (20-XX)
32 Computer science (68-XX)
27 Associative rings and algebras (16-XX)
26 Number theory (11-XX)
20 Operations research, mathematical programming (90-XX)
19 Geometry (51-XX)
16 Quantum theory (81-XX)
15 Biology and other natural sciences (92-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Manifolds and cell complexes (57-XX)
12 Statistics (62-XX)
11 Category theory; homological algebra (18-XX)
11 Probability theory and stochastic processes (60-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Algebraic topology (55-XX)
9 Approximations and expansions (41-XX)
7 Real functions (26-XX)
7 Functions of a complex variable (30-XX)
7 Numerical analysis (65-XX)
6 Operator theory (47-XX)
5 Differential geometry (53-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Functional analysis (46-XX)
4 Mechanics of particles and systems (70-XX)
3 Field theory and polynomials (12-XX)
3 Special functions (33-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 History and biography (01-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 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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