Edit Profile (opens in new tab) Faber, Xander Co-Author Distance Author ID: faber.xander Published as: Faber, Xander External Links: MGP Documents Indexed: 26 Publications since 2006 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 13 Reviews Co-Authors: 24 Co-Authors with 22 Joint Publications 496 Co-Co-Authors all top 5 Co-Authors 5 single-authored 3 Baker, Matthew H. 3 Grantham, Jon 3 Hutz, Benjamin 3 Manes, Michelle 2 DeMarco, Laura Grace 2 Goldfeld, Dorian Morris 2 Hundley, Joseph 2 Thompson, Bianca 2 Vermeulen, Floris 1 Amini, Omid 1 Benedetto, Robert L. 1 Doyle, John R. 1 Granville, Andrew James 1 Ingram, Patrick 1 Jones, Rafe 1 Juul, Jamie 1 Krumm, David 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 Zieve, Michael E. all top 5 Serials 3 Journal of Number Theory 3 International Journal of Number Theory 2 Journal of Algebra 2 Mathematische Annalen 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 17 Number theory (11-XX) 14 Algebraic geometry (14-XX) 12 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 21 Publications have been cited 193 times in 148 Documents Cited by ▼ Year ▼ Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025Baker, Matthew; Faber, Xander 34 2006 Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060Baker, Matthew; Faber, Xander 29 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060Goldfeld, Dorian; Hundley, Joseph 24 2011 Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014Faber, Xander 24 2013 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020Faber, Xander 19 2013 Prime factors of dynamical sequences. Zbl 1290.11019Faber, Xander; Granville, Andrew 17 2011 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082Doyle, John R.; Faber, Xander; Krumm, David 16 2014 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089DeMarco, Laura; Faber, Xander 14 2016 Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070Goldfeld, Dorian; Hundley, Joseph 10 2011 A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu 9 2017 Degenerations of complex dynamical systems. Zbl 1308.37023De Marco, Laura; Faber, Xander 6 2014 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E. 4 2009 Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066Faber, Xander; Manes, Michelle; Viray, Bianca 4 2015 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118Faber, Xander; Voloch, José Felipe 3 2011 Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 07705160Faber, Xander 3 2023 Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065Faber, Xander; Grantham, Jon 3 2022 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019Faber, Xander; Hutz, Benjamin; Stoll, Michael 2 2011 Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116Faber, 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 Rational functions with a unique critical point. Zbl 1466.37040Faber, Xander 1 2014 On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033Faber, Xander; Thompson, Bianca 1 2016 Finite \(p\)-irregular subgroups of \({\mathrm{PGL}}_2 (k)\). Zbl 07705160Faber, Xander 3 2023 Binary curves of small fixed genus and gonality with many rational points. Zbl 1508.11065Faber, Xander; Grantham, Jon 3 2022 A large arboreal Galois representation for a cubic postcritically finite polynomial. Zbl 1427.11118Benedetto, Robert L.; Faber, Xander; Hutz, Benjamin; Juul, Jamie; Yasufuku, Yu 9 2017 Degenerations of complex dynamical systems. II: Analytic and algebraic stability. Zbl 1343.37089DeMarco, Laura; Faber, Xander 14 2016 On the field of definition of a cubic rational function and its critical points. Zbl 1432.58033Faber, Xander; Thompson, Bianca 1 2016 Computing conjugating sets and automorphism groups of rational functions. Zbl 1391.37066Faber, Xander; Manes, Michelle; Viray, Bianca 4 2015 Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. Zbl 1392.37116Faber, Xander 2 2015 Preperiodic points for quadratic polynomials over quadratic fields. Zbl 1391.37082Doyle, John R.; Faber, Xander; Krumm, David 16 2014 Degenerations of complex dynamical systems. Zbl 1308.37023De Marco, Laura; Faber, Xander 6 2014 Rational functions with a unique critical point. Zbl 1466.37040Faber, Xander 1 2014 Topology and geometry of the Berkovich ramification locus for rational functions. I. Zbl 1288.14014Faber, Xander 24 2013 Topology and geometry of the Berkovich ramification locus for rational functions. II. Zbl 1277.14020Faber, 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 1215.14060Baker, Matthew; Faber, Xander 29 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 2. With exercises by Xander Faber. Zbl 1253.11060Goldfeld, Dorian; Hundley, Joseph 24 2011 Prime factors of dynamical sequences. Zbl 1290.11019Faber, Xander; Granville, Andrew 17 2011 Automorphic representations and \(L\)-functions for the general linear group. Volume 1. With exercises by Xander Faber. Zbl 1247.11070Goldfeld, Dorian; Hundley, Joseph 10 2011 On the number of places of convergence for Newton’s method over number fields. Zbl 1223.37118Faber, Xander; Voloch, José Felipe 3 2011 On the number of rational iterated preimages of the origin under quadratic dynamical systems. Zbl 1242.14019Faber, Xander; Hutz, Benjamin; Stoll, Michael 2 2011 Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086Faber, 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 1114.94025Baker, Matthew; Faber, Xander 34 2006 all cited Publications top 5 cited Publications all top 5 Cited by 184 Authors 11 Faber, Xander 8 Hutz, Benjamin 7 Doyle, John R. 7 Shokrieh, Farbod 7 Tucker, Thomas John 6 Benedetto, Robert L. 5 de Jong, Robin 5 DeMarco, Laura Grace 5 Ghioca, Dragos 4 Cinkir, Zubeyir 4 Jones, Rafe 4 Krumm, David 4 Len, Yoav 4 Nie, Hongming 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 Lukina, Olga 2 Luo, Yusheng 2 Manes, Michelle 2 Musiker, Gregg 2 Nguyen, Khoa Dang 2 Ostafe, Alina 2 Payne, Sam 2 Robinson, Michael 2 Rojas, J. Maurice 2 Rumely, Robert S. 2 Shen, Tif 2 Ulirsch, Martin 2 Vermeulen, Floris 2 Vishkautsan, Solomon 2 Yuen, Chi Ho 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 Draisma, Jan 1 Dujardin, Romain 1 Eberhart, Ryan 1 Ergür, Alperen Ali 1 Faber, X. W. C. 1 Fang, Lily 1 Ferraguti, Andrea 1 Goksel, Vefa 1 Gomez-Perez, Domingo 1 Gontmacher, Brandon 1 Haase, Christian Alexander 1 Helminck, Paul Alexander 1 Hsia, Liang-Chung 1 Jakobson, Dmitry 1 Jekel, David 1 Jensen, David 1 Jespers, Michiel 1 Jørgensen, Palle E. T. 1 Jorgenson, Grayson 1 Joyner, David ...and 84 more Authors all top 5 Cited in 74 Serials 9 Mathematische Annalen 8 Transactions of the American Mathematical Society 7 Mathematische Zeitschrift 6 Mathematics of Computation 6 Journal of Number Theory 5 Advances in Mathematics 5 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 5 Forum of Mathematics, Sigma 3 Israel Journal of Mathematics 3 Acta Arithmetica 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 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 The Electronic Journal of Combinatorics 2 Annales Henri Poincaré 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 Functional Analysis 1 Journal of Pure and Applied Algebra 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 Selecta Mathematica. New Series 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 Journal of Modern 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 all top 5 Cited in 32 Fields 71 Algebraic geometry (14-XX) 67 Dynamical systems and ergodic theory (37-XX) 51 Number theory (11-XX) 23 Combinatorics (05-XX) 12 Field theory and polynomials (12-XX) 7 Group theory and generalizations (20-XX) 7 Partial differential equations (35-XX) 6 Information and communication theory, circuits (94-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-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 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-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 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year