Edit Profile (opens in new tab) Padrol, Arnau Co-Author Distance Author ID: padrol.arnau Published as: Padrol, Arnau External Links: MGP · Wikidata Videos: carmin.tv Documents Indexed: 38 Publications since 2012, including 2 Additional arXiv Preprints Co-Authors: 30 Co-Authors with 33 Joint Publications 664 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Ceballos, Cesar 7 Pilaud, Vincent 6 Sarmiento, Camilo 4 Adiprasito, Karim Alexander 3 Philippe, Eva 3 Poullot, Germain 2 Gonska, Bernd 2 Palu, Yann 2 Plamondon, Pierre-Guy 2 Ritter, Julian 2 Sanyal, Raman 2 Theran, Louis 1 Brinkmann, Philip 1 Castillo, Federico 1 Chen, Hao 1 Grande, Francesco 1 Hubard, Alfredo 1 Labbé, Jean-Philippe 1 Lagarias, Jeffrey C. 1 Liebert, Julia 1 Luo, Yusheng 1 Martinez-Sandoval, Leonardo 1 Miyata, Hiroyuki 1 Nill, Benjamin 1 Paták, Pavel 1 Patáková, Zuzana 1 Pfeifle, Julian 1 Sarmiento, Carmilo 1 Schilling, Christian 1 Ziegler, Günter Matthias all top 5 Serials 4 Séminaire Lotharingien de Combinatoire 3 European Journal of Combinatorics 3 Discrete & Computational Geometry 2 Journal of Combinatorial Theory. Series A 2 Combinatorica 2 IMRN. International Mathematics Research Notices 2 The Electronic Journal of Combinatorics 1 Israel Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Experimental Mathematics 1 Annales Henri Poincaré 1 Advances in Geometry all top 5 Fields 35 Convex and discrete geometry (52-XX) 16 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Operations research, mathematical programming (90-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 205 times in 145 Documents Cited by ▼ Year ▼ Many neighborly polytopes and oriented matroids. Zbl 1283.52013 Padrol, Arnau 32 2013 Geometry of \(\nu \)-Tamari lattices in types \(A\) and \(B\). Zbl 1402.05221 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 22 2019 The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes. Zbl 1480.06003 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 18 2020 Associahedra for finite-type cluster algebras and minimal relations between \(g\)-vectors. Zbl 1528.13023 Padrol, Arnau; Palu, Yann; Pilaud, Vincent; Plamondon, Pierre-Guy 14 2023 Polygons as sections of higher-dimensional polytopes. Zbl 1312.52008 Padrol, Arnau; Pfeifle, Julian 9 2015 Dyck path triangulations and extendability. Zbl 1307.51017 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 9 2015 Extension complexity of polytopes with few vertices or facets. Zbl 1354.52014 Padrol, Arnau 8 2016 Universality theorems for inscribed polytopes and Delaunay triangulations. Zbl 1329.52013 Adiprasito, Karim A.; Padrol, Arnau; Theran, Louis 8 2015 On type cones of \(g\)-vector fans. Zbl 1447.05230 Padrol, Arnau; Palu, Yann; Pilaud, Vincent; Plamondon, Pierre-Guy 7 2020 Neighborly inscribed polytopes and Delaunay triangulations. Zbl 1386.52009 Gonska, Bernd; Padrol, Arnau 7 2016 Extension complexity and realization spaces of hypersimplices. Zbl 1387.52042 Grande, Francesco; Padrol, Arnau; Sanyal, Raman 7 2018 Enumerating neighborly polytopes and oriented matroids. Zbl 1370.52018 Miyata, Hiroyuki; Padrol, Arnau 7 2015 Scribability problems for polytopes. Zbl 1370.52017 Chen, Hao; Padrol, Arnau 5 2017 The universality theorem for neighborly polytopes. Zbl 1399.52026 Adiprasito, Karim A.; Padrol, Arnau 5 2017 Deformation cones of graph associahedra and nestohedra. Zbl 1498.52018 Padrol, Arnau; Pilaud, Vincent; Poullot, Germain 5 2023 Colorful simplicial depth, Minkowski sums, and generalized Gale transforms. Zbl 1417.52036 Adiprasito, Karim A.; Brinkmann, Philip; Padrol, Arnau; Paták, Pavel; Patáková, Zuzana; Sanyal, Raman 5 2019 Six topics on inscribable polytopes. Zbl 1357.52016 Padrol, Arnau; Ziegler, Günter M. 4 2016 Shard polytopes. Zbl 1519.52006 Padrol, Arnau; Pilaud, Vincent; Ritter, Julian 4 2021 Geometry of \(\nu\)-Tamari lattices in types \(A\) and \(B\). Zbl 1385.05092 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Carmilo 4 2017 Shard polytopes. Zbl 1522.52026 Padrol, Arnau; Pilaud, Vincent; Ritter, Julian 4 2023 A universality theorem for projectively unique polytopes and a conjecture of Shephard. Zbl 1347.52012 Adiprasito, Karim A.; Padrol, Arnau 3 2016 Delaunay triangulations with disconnected realization spaces. Zbl 1395.68314 Padrol, Arnau; Theran, Louis 3 2014 The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes. Zbl 1323.52007 Nill, Benjamin; Padrol, Arnau 3 2015 Sweeps, polytopes, oriented matroids, and allowable graphs of permutations. Zbl 07829394 Padrol, Arnau; Philippe, Eva 3 2024 An effective solution to convex 1-body \(N\)-representability. Zbl 1530.81148 Castillo, Federico; Labbé, Jean-Philippe; Liebert, Julia; Padrol, Arnau; Philippe, Eva; Schilling, Christian 3 2023 Polytopes with few vertices and few facets. Zbl 1341.52021 Padrol, Arnau 2 2016 Moser’s shadow problem. Zbl 1426.52004 Lagarias, Jeffrey C.; Luo, Yusheng; Padrol, Arnau 2 2018 \(\nu\)-Tamari lattices via subword complexes. Zbl 1378.05213 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 1 2017 The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem. Zbl 1466.05153 Martínez-Sandoval, Leonardo; Padrol, Arnau 1 2021 Sweeps, polytopes, oriented matroids, and allowable graphs of permutations. Zbl 07829394 Padrol, Arnau; Philippe, Eva 3 2024 Associahedra for finite-type cluster algebras and minimal relations between \(g\)-vectors. Zbl 1528.13023 Padrol, Arnau; Palu, Yann; Pilaud, Vincent; Plamondon, Pierre-Guy 14 2023 Deformation cones of graph associahedra and nestohedra. Zbl 1498.52018 Padrol, Arnau; Pilaud, Vincent; Poullot, Germain 5 2023 Shard polytopes. Zbl 1522.52026 Padrol, Arnau; Pilaud, Vincent; Ritter, Julian 4 2023 An effective solution to convex 1-body \(N\)-representability. Zbl 1530.81148 Castillo, Federico; Labbé, Jean-Philippe; Liebert, Julia; Padrol, Arnau; Philippe, Eva; Schilling, Christian 3 2023 Shard polytopes. Zbl 1519.52006 Padrol, Arnau; Pilaud, Vincent; Ritter, Julian 4 2021 The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem. Zbl 1466.05153 Martínez-Sandoval, Leonardo; Padrol, Arnau 1 2021 The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes. Zbl 1480.06003 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 18 2020 On type cones of \(g\)-vector fans. Zbl 1447.05230 Padrol, Arnau; Palu, Yann; Pilaud, Vincent; Plamondon, Pierre-Guy 7 2020 Geometry of \(\nu \)-Tamari lattices in types \(A\) and \(B\). Zbl 1402.05221 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 22 2019 Colorful simplicial depth, Minkowski sums, and generalized Gale transforms. Zbl 1417.52036 Adiprasito, Karim A.; Brinkmann, Philip; Padrol, Arnau; Paták, Pavel; Patáková, Zuzana; Sanyal, Raman 5 2019 Extension complexity and realization spaces of hypersimplices. Zbl 1387.52042 Grande, Francesco; Padrol, Arnau; Sanyal, Raman 7 2018 Moser’s shadow problem. Zbl 1426.52004 Lagarias, Jeffrey C.; Luo, Yusheng; Padrol, Arnau 2 2018 Scribability problems for polytopes. Zbl 1370.52017 Chen, Hao; Padrol, Arnau 5 2017 The universality theorem for neighborly polytopes. Zbl 1399.52026 Adiprasito, Karim A.; Padrol, Arnau 5 2017 Geometry of \(\nu\)-Tamari lattices in types \(A\) and \(B\). Zbl 1385.05092 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Carmilo 4 2017 \(\nu\)-Tamari lattices via subword complexes. Zbl 1378.05213 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 1 2017 Extension complexity of polytopes with few vertices or facets. Zbl 1354.52014 Padrol, Arnau 8 2016 Neighborly inscribed polytopes and Delaunay triangulations. Zbl 1386.52009 Gonska, Bernd; Padrol, Arnau 7 2016 Six topics on inscribable polytopes. Zbl 1357.52016 Padrol, Arnau; Ziegler, Günter M. 4 2016 A universality theorem for projectively unique polytopes and a conjecture of Shephard. Zbl 1347.52012 Adiprasito, Karim A.; Padrol, Arnau 3 2016 Polytopes with few vertices and few facets. Zbl 1341.52021 Padrol, Arnau 2 2016 Polygons as sections of higher-dimensional polytopes. Zbl 1312.52008 Padrol, Arnau; Pfeifle, Julian 9 2015 Dyck path triangulations and extendability. Zbl 1307.51017 Ceballos, Cesar; Padrol, Arnau; Sarmiento, Camilo 9 2015 Universality theorems for inscribed polytopes and Delaunay triangulations. Zbl 1329.52013 Adiprasito, Karim A.; Padrol, Arnau; Theran, Louis 8 2015 Enumerating neighborly polytopes and oriented matroids. Zbl 1370.52018 Miyata, Hiroyuki; Padrol, Arnau 7 2015 The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes. Zbl 1323.52007 Nill, Benjamin; Padrol, Arnau 3 2015 Delaunay triangulations with disconnected realization spaces. Zbl 1395.68314 Padrol, Arnau; Theran, Louis 3 2014 Many neighborly polytopes and oriented matroids. Zbl 1283.52013 Padrol, Arnau 32 2013 all cited Publications top 5 cited Publications all top 5 Cited by 206 Authors 22 Padrol, Arnau 12 Ceballos, Cesar 11 Pilaud, Vincent 6 Adiprasito, Karim Alexander 6 Mühle, Henri 6 Novik, Isabella 6 Sanyal, Raman 6 Zheng, Hailun 5 von Bell, Matias 5 Ziegler, Günter Matthias 4 Dobbins, Michael Gene 4 Ehrenborg, Richard 4 Hetyei, Gábor 4 Santos, Francisco 4 Weltge, Stefan 4 Yip, Martha 3 De Loera, Jesús A. 3 Defant, Colin 3 Fang, Wenjie 3 Goaoc, Xavier 3 Gouveia, Joao 3 López de Medrano, Santiago 3 Pons, Viviane 3 Readdy, Margaret A. 3 Ritter, Julian 3 Sarmiento, Camilo 3 Shitov, Yaroslav Nikolaevich 2 Albertin, Doriann 2 Bergeron, Nantel 2 Black, Alexander E. 2 Cardinal, Jean 2 Chen, Hao 2 Doolittle, Joseph 2 Fusy, Éric 2 Humbert, Abel 2 Kaibel, Volker 2 Knauer, Kolja B. 2 Lam, Thomas F. 2 Lee, Seunghun 2 Loho, Georg 2 Macchia, Antonio 2 Merino, Arturo I. 2 Mütze, Torsten 2 Nevo, Eran 2 Nill, Benjamin 2 Novelli, Jean-Christophe 2 Ogawa, Yasuaki 2 Palu, Yann 2 Philippe, Eva 2 Poullot, Germain 2 Shah, Amit 2 Sinn, Rainer 2 Wiebe, Amy 1 Aardal, Karen I. 1 Abhishek, Md. 1 Aloupis, Greg 1 Amiot, Claire 1 Arkani-Hamed, Nima 1 Averkov, Gennadiy 1 Banerjee, Pinaki 1 Baralić, Đorđe 1 Barmeier, Severin 1 Baur, Karin 1 Bazier-Matte, Véronique 1 Bennett-Tennenhaus, Raphael 1 Bogart, Tristram 1 Böröczky, Karoly jun. 1 Brandenburg, Marie-Charlotte 1 Briggs, Joseph 1 Casbi, Elie 1 Castillo, Federico 1 Cesar, Ceballos 1 Cetina, Francisco A. Mayorga 1 Chapelier-Laget, Nathan 1 Chenevière, Clément 1 Chepoi, Victor D. 1 Cibulka, Josef 1 Corrigan, Gabriel 1 Crawley-Boevey, William 1 Dermenjian, Aram 1 Douville, Guillaume 1 Eur, Christopher 1 Fink, Alex 1 Firsching, Moritz 1 Freeman, Nicolas 1 Frick, Florian 1 Galashin, Pavel 1 Gillis, Nicolas 1 Glineur, François 1 Goeckner, Bennet 1 Gómez Gutiérrez, Vinicio 1 Gonska, Bernd 1 Gonzáles D’León, Rafael S. 1 González d’León, Rafael S. 1 Grande, Francesco 1 Gupte, Akshay 1 Haugland, Johanne 1 He, Song 1 Hegde, Subramanya 1 Hernández-Ortiz, Rangel ...and 106 more Authors all top 5 Cited in 59 Serials 16 Discrete & Computational Geometry 11 Séminaire Lotharingien de Combinatoire 9 European Journal of Combinatorics 8 The Electronic Journal of Combinatorics 5 Israel Journal of Mathematics 5 SIAM Journal on Discrete Mathematics 5 Oberwolfach Reports 3 Advances in Mathematics 3 Journal of Algebra 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Combinatorica 3 Annals of Combinatorics 3 Combinatorial Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Mathematika 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Advances in Applied Mathematics 2 Acta Mathematica Hungarica 2 Mathematical Programming. Series A. Series B 2 Experimental Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of High Energy Physics 2 Advances in Geometry 2 Forum of Mathematics, Sigma 2 Enumerative Combinatorics and Applications 1 Discrete Mathematics 1 Information Processing Letters 1 Physics Letters. B 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Computer and System Sciences 1 Mathematische Zeitschrift 1 Operations Research Letters 1 Journal of Symbolic Computation 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of Global Optimization 1 Bulletin of the American Mathematical Society. New Series 1 Selecta Mathematica. New Series 1 Electronic Journal of Probability 1 Izvestiya: Mathematics 1 Theory of Computing Systems 1 Journal of the ACM 1 Algebras and Representation Theory 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Involve 1 Transactions of the American Mathematical Society. Series B 1 SIAM Journal on Applied Algebra and Geometry 1 Épijournal de Géométrie Algébrique. EPIGA 1 SciPost Physics all top 5 Cited in 32 Fields 98 Convex and discrete geometry (52-XX) 69 Combinatorics (05-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 19 Algebraic geometry (14-XX) 18 Operations research, mathematical programming (90-XX) 14 Manifolds and cell complexes (57-XX) 11 Associative rings and algebras (16-XX) 9 Commutative algebra (13-XX) 8 Category theory; homological algebra (18-XX) 8 Geometry (51-XX) 8 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 5 General and overarching topics; collections (00-XX) 5 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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