Edit Profile (opens in new tab) Faber, Xander Co-Author Distance Author ID: faber.xander Published as: Faber, Xander External Links: MGP Documents Indexed: 29 Publications since 2006, including 2 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 13 Reviews Co-Authors: 27 Co-Authors with 25 Joint Publications 617 Co-Co-Authors all top 5 Co-Authors 5 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 208 times in 158 Documents Cited by ▼ Year ▼ Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025 Baker, Matthew; Faber, Xander 36 2006 Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060 Baker, Matthew; Faber, Xander 31 2011 Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014 Faber, Xander 26 2013 Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060 Goldfeld, Dorian; Hundley, Joseph 26 2011 Prime factors of dynamical sequences. Zbl 1290.11019 Faber, Xander; Granville, Andrew 19 2011 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020 Faber, Xander 19 2013 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082 Doyle, John R.; Faber, Xander; Krumm, David 17 2014 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089 DeMarco, Laura; Faber, Xander 14 2016 Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070 Goldfeld, Dorian; Hundley, Joseph 12 2011 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 9 2017 Degenerations of complex dynamical systems. Zbl 1308.37023 De Marco, Laura; Faber, Xander 7 2014 Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065 Faber, Xander; Grantham, Jon 5 2022 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 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 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118 Faber, Xander; Voloch, José Felipe 3 2011 Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116 Faber, Xander 2 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 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 On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033 Faber, Xander; Thompson, Bianca 1 2016 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 5 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 9 2017 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089 DeMarco, Laura; Faber, Xander 14 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 2 2015 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082 Doyle, John R.; Faber, Xander; Krumm, David 17 2014 Degenerations of complex dynamical systems. Zbl 1308.37023 De Marco, Laura; Faber, Xander 7 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 26 2013 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020 Faber, Xander 19 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 31 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 26 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 12 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 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118 Faber, Xander; Voloch, José Felipe 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 36 2006 all cited Publications top 5 cited Publications all top 5 Cited by 190 Authors 13 Faber, Xander 8 Doyle, John R. 8 Hutz, Benjamin 8 Shokrieh, Farbod 7 Tucker, Thomas John 6 Benedetto, Robert L. 6 de Jong, Robin 5 DeMarco, Laura Grace 5 Ghioca, Dragos 5 Nie, Hongming 4 Cinkir, Zubeyir 4 Jones, Rafe 4 Krumm, David 4 Len, Yoav 4 Silverman, Joseph Hillel 3 Abreu, Alex C. 3 Baker, Matthew H. 3 Bridy, Andrew 3 Jacobs, Kenneth S. 3 Kiwi, Jan 3 Pacini, Marco 3 Shparlinski, Igor E. 2 Andria, Sally 2 Backman, Spencer 2 Baldassarri, Francesco 2 Bojkovic, Velibor 2 Ejder, Özlem 2 Favre, Charles 2 Gross, Andreas 2 Hindes, Wade 2 Ingram, Patrick 2 Kedlaya, Kiran Sridhara 2 Levy, Alon 2 Li, Ruofan 2 Lukina, Olga 2 Luo, Yusheng 2 Manes, Michelle 2 Musiker, Gregg 2 Nguyen, Khoa Dang 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 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 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 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 Goksel, Vefa 1 Gomez-Perez, Domingo 1 Gontmacher, Brandon 1 Haase, Christian Alexander 1 Helminck, Paul Alexander 1 Hsia, Liang-Chung ...and 90 more Authors all top 5 Cited in 76 Serials 10 Mathematische Annalen 8 Transactions of the American Mathematical Society 7 Mathematics of Computation 7 Mathematische Zeitschrift 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 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Journal of Algebraic Combinatorics 3 Research in Number Theory 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 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 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 IMRN. International Mathematics Research Notices 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 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 77 Algebraic geometry (14-XX) 72 Dynamical systems and ergodic theory (37-XX) 57 Number theory (11-XX) 24 Combinatorics (05-XX) 12 Field theory and polynomials (12-XX) 8 Group theory and generalizations (20-XX) 7 Partial differential equations (35-XX) 7 Information and communication theory, circuits (94-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-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 Differential geometry (53-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