Edit Profile (opens in new tab) Faber, Xander Co-Author Distance Author ID: faber.xander Published as: Faber, Xander External Links: MGP · Wikidata Documents Indexed: 30 Publications since 2006, including 3 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 13 Reviews Co-Authors: 27 Co-Authors with 25 Joint Publications 654 Co-Co-Authors all top 5 Co-Authors 6 single-authored 4 Grantham, Jon 3 Baker, Matthew H. 3 Hutz, Benjamin 3 Manes, Michelle 2 DeMarco, Laura Grace 2 Doyle, John R. 2 Goldfeld, Dorian Morris 2 Hundley, Joseph 2 Thompson, Bianca 2 Vermeulen, Floris 1 Amini, Omid 1 Benedetto, Robert L. 1 Granville, Andrew James 1 Howe, Everett W. 1 Ingram, Patrick 1 Jones, Rafe 1 Juul, Jamie 1 Krumm, David 1 Pardue, Keith 1 Petsche, Clayton 1 Stoll, Michael 1 Towsley, Adam 1 Tucker, Thomas John 1 Viray, Bianca 1 Voloch, José Felipe 1 Walton, Laura 1 Yasufuku, Yu 1 Zelinsky, David S. 1 Zieve, Michael E. all top 5 Serials 3 Journal of Number Theory 3 Mathematische Annalen 3 International Journal of Number Theory 2 Journal of Algebra 2 Journal de Théorie des Nombres de Bordeaux 2 Cambridge Studies in Advanced Mathematics 1 The Fibonacci Quarterly 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Contemporary Mathematics 1 Forum of Mathematics, Sigma 1 Research in Number Theory 1 La Matematica all top 5 Fields 18 Number theory (11-XX) 14 Algebraic geometry (14-XX) 13 Dynamical systems and ergodic theory (37-XX) 3 Field theory and polynomials (12-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 225 times in 169 Documents Cited by ▼ Year ▼ Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025 Baker, Matthew; Faber, Xander 38 2006 Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060 Baker, Matthew; Faber, Xander 33 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060 Goldfeld, Dorian; Hundley, Joseph 31 2011 Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014 Faber, Xander 28 2013 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020 Faber, Xander 20 2013 Prime factors of dynamical sequences. Zbl 1290.11019 Faber, Xander; Granville, Andrew 19 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070 Goldfeld, Dorian; Hundley, Joseph 16 2011 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082 Doyle, John R.; Faber, Xander; Krumm, David 16 2014 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089 DeMarco, Laura; Faber, Xander 12 2016 A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118 Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu 11 2017 Degenerations of complex dynamical systems. Zbl 1308.37023 De Marco, Laura; Faber, Xander 9 2014 Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066 Faber, Xander; Manes, Michelle; Viray, Bianca 5 2015 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086 Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E. 4 2009 Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065 Faber, Xander; Grantham, Jon 4 2022 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118 Faber, Xander; Voloch, José Felipe 3 2011 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019 Faber, Xander; Hutz, Benjamin; Stoll, Michael 3 2011 Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 1521.20053 Faber, Xander 3 2023 Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116 Faber, Xander 3 2015 Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002 2 2013 On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033 Faber, Xander; Thompson, Bianca 1 2016 On abelian covers of the projective line with fixed gonality and many rational points. Zbl 1518.11050 Faber, Xander; Vermeulen, Floris 1 2022 Rational functions with a unique critical point. Zbl 1466.37040 Faber, Xander 1 2014 Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 1521.20053 Faber, Xander 3 2023 Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065 Faber, Xander; Grantham, Jon 4 2022 On abelian covers of the projective line with fixed gonality and many rational points. Zbl 1518.11050 Faber, Xander; Vermeulen, Floris 1 2022 A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118 Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu 11 2017 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089 DeMarco, Laura; Faber, Xander 12 2016 On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033 Faber, Xander; Thompson, Bianca 1 2016 Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066 Faber, Xander; Manes, Michelle; Viray, Bianca 5 2015 Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116 Faber, Xander 3 2015 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082 Doyle, John R.; Faber, Xander; Krumm, David 16 2014 Degenerations of complex dynamical systems. Zbl 1308.37023 De Marco, Laura; Faber, Xander 9 2014 Rational functions with a unique critical point. Zbl 1466.37040 Faber, Xander 1 2014 Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014 Faber, Xander 28 2013 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020 Faber, Xander 20 2013 Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002 2 2013 Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060 Baker, Matthew; Faber, Xander 33 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060 Goldfeld, Dorian; Hundley, Joseph 31 2011 Prime factors of dynamical sequences. Zbl 1290.11019 Faber, Xander; Granville, Andrew 19 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070 Goldfeld, Dorian; Hundley, Joseph 16 2011 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118 Faber, Xander; Voloch, José Felipe 3 2011 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019 Faber, Xander; Hutz, Benjamin; Stoll, Michael 3 2011 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086 Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E. 4 2009 Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025 Baker, Matthew; Faber, Xander 38 2006 all cited Publications top 5 cited Publications all top 5 Cited by 192 Authors 13 Faber, Xander 9 Doyle, John R. 8 Hutz, Benjamin 8 Shokrieh, Farbod 7 Benedetto, Robert L. 7 Tucker, Thomas John 6 de Jong, Robin 6 Nie, Hongming 5 Baker, Matthew H. 5 DeMarco, Laura Grace 5 Ghioca, Dragos 5 Krumm, David 4 Abreu, Alex C. 4 Cinkir, Zubeyir 4 Jones, Rafe 4 Len, Yoav 4 Pacini, Marco 4 Silverman, Joseph Hillel 3 Bridy, Andrew 3 Jacobs, Kenneth S. 3 Kedlaya, Kiran Sridhara 3 Kiwi, Jan 3 Shparlinski, Igor E. 2 Andria, Sally 2 Backman, Spencer 2 Baldassarri, Francesco 2 Bojkovic, Velibor 2 Ejder, Özlem 2 Favre, Charles 2 Goksel, Vefa 2 Gross, Andreas 2 Hindes, Wade 2 Ingram, Patrick 2 Levy, Alon 2 Li, Ruofan 2 Lukina, Olga 2 Luo, Yusheng 2 Manes, Michelle 2 Musiker, Gregg 2 Nguyen, Khoa Dang 2 Okuyama, Yûsuke 2 Ostafe, Alina 2 Payne, Sam 2 Pilgrim, Kevin M. 2 Richman, David Harry 2 Robinson, Michael 2 Rojas, J. Maurice 2 Rumely, Robert S. 2 Shen, Tif 2 Stoll, Michael 2 Tesei, Alberto 2 Ulirsch, Martin 2 Vermeulen, Floris 2 Vishkautsan, Solomon 2 Yuen, Chi Ho 2 Zakharov, Dmitry Vladimirovich 1 Agrawal, Rohit 1 Ahmad, Faseeh 1 Amini, Omid 1 An, Yang 1 Arfeux, Matthieu 1 Avendano, Martin 1 Baccelli, François Louis 1 Bajpai, Dvij 1 Banerjee, Debargha 1 Bérczes, Attila 1 Berkolaiko, Gregory 1 Bleher, Frauke M. 1 Bouw, Irene I. 1 Brandt, Madeline 1 Brugallé, Erwan 1 Burdzy, Krzysztof 1 Cai, Julia 1 Cain, Jennifer 1 Canci, Jung Kyu 1 Carroll, Gregory 1 Cartwright, Dustin A. 1 Chan, Melody 1 Chaudhuri, Chitrabhanu 1 Chen, Ruqian 1 Cheng, Raymond 1 Chinburg, Ted 1 Christ, Karl 1 Cohen, Adina 1 Cools, Filip 1 Dana, Will 1 de Faria, João Alberto 1 de la Puente, Maria Jesus 1 Dietrich, Anna M. 1 Diller, Jeffrey 1 Dragutinović, Dušan 1 Draisma, Jan 1 Dujardin, Romain 1 Eberhart, Ryan 1 Ergür, Alperen Ali 1 Faber, X. W. C. 1 Fang, Lily 1 Ferraguti, Andrea 1 Fu, Hang 1 Glickenstein, David ...and 92 more Authors all top 5 Cited in 81 Serials 11 Mathematische Annalen 8 Mathematische Zeitschrift 8 Transactions of the American Mathematical Society 7 Mathematics of Computation 6 Advances in Mathematics 6 Journal of Number Theory 6 International Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 5 Forum of Mathematics, Sigma 4 Acta Arithmetica 4 Research in Number Theory 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of the London Mathematical Society. Second Series 3 Manuscripta Mathematica 3 Journal of Algebraic Combinatorics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Pure and Applied Algebra 2 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 The Electronic Journal of Combinatorics 2 Selecta Mathematica. New Series 2 Annales Henri Poincaré 2 Journal of Modern Dynamics 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series B 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Kybernetika 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 Computational Geometry 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Automation and Remote Control 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Geometry 1 The New York Journal of Mathematics 1 Séminaire Lotharingien de Combinatoire 1 Journal of Inequalities and Applications 1 Annals of Combinatorics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Complex Variables and Elliptic Equations 1 Groups, Geometry, and Dynamics 1 Algebra & Number Theory 1 Involve 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 Transactions of the American Mathematical Society. Series B 1 Annales Henri Lebesgue 1 La Matematica all top 5 Cited in 32 Fields 83 Algebraic geometry (14-XX) 78 Dynamical systems and ergodic theory (37-XX) 60 Number theory (11-XX) 23 Combinatorics (05-XX) 13 Field theory and polynomials (12-XX) 9 Group theory and generalizations (20-XX) 8 Partial differential equations (35-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Information and communication theory, circuits (94-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.