Edit Profile (opens in new tab) Koch, Sarah Colleen Compute Distance To: Compute Author ID: koch.sarah-c Published as: Koch, Sarah; Koch, Sarah C. Homepage: http://www-personal.umich.edu/~kochsc/ External Links: MGP Documents Indexed: 20 Publications since 2007 Co-Authors: 21 Co-Authors with 16 Joint Publications 284 Co-Co-Authors all top 5 Co-Authors 3 single-authored 6 Buff, Xavier 6 Epstein, Adam Lawrence 4 Pilgrim, Kevin M. 2 Lei, Tan 1 Antolín-Camarena, Omar 1 Belk, James M. 1 Calegari, Danny Matthew Cornelius 1 DeMarco, Laura Grace 1 Floyd, William J. 1 Hironaka, Eriko 1 Hubbard, John Hamal 1 Kelsey, Gregory A. 1 Lodge, Russell 1 McMullen, Curtis Tracy 1 Meyer, Daniel 1 Parry, Walter R. 1 Rees, Mary 1 Roeder, Roland K. W. 1 Rosemann, Henning 1 Saenz, Edgar A. 1 Selinger, Nikita 1 Walker, Alden all top 5 Serials 2 Ergodic Theory and Dynamical Systems 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Advances in Mathematics 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Notices of the American Mathematical Society 1 Journal of Modern Dynamics 1 Journal of Topology 1 Arnold Mathematical Journal all top 5 Fields 13 Dynamical systems and ergodic theory (37-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Functions of a complex variable (30-XX) 3 Algebraic geometry (14-XX) 3 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 113 times in 74 Documents Cited by ▼ Year ▼ Teichmüller theory and critically finite endomorphisms. Zbl 1310.32016Koch, Sarah 24 2013 An analytic construction of the Deligne-Mumford compactification of the moduli space of curves. Zbl 1318.32019Hubbard, John H.; Koch, Sarah 20 2014 On Thurston’s pullback map. Zbl 1180.37065Buff, Xavier; Epstein, Adam; Koch, Sarah; Pilgrim, Kevin 16 2009 Pullback invariants of Thurston maps. Zbl 1343.30038Koch, Sarah; Pilgrim, Kevin M.; Selinger, Nikita 12 2016 Böttcher coordinates. Zbl 1288.37012Buff, Xavier; Epstein, Adam; Koch, Sarah 9 2012 Questions about polynomial matings. Zbl 1364.37099Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan 7 2012 Twisted matings and equipotential gluings. Zbl 1408.37084Buff, Xavier; Epstein, Adam L.; Koch, Sarah 6 2012 Origami, affine maps, and complex dynamics. Zbl 1388.37056Floyd, William; Kelsey, Gregory; Koch, Sarah; Lodge, Russell; Parry, Walter; Pilgrim, Kevin M.; Saenz, Edgar 5 2017 Computing dynamical degrees of rational maps on moduli space. Zbl 1378.37082Koch, Sarah; Roeder, Roland K. W. 5 2016 Roots, Schottky semigroups, and a proof of Bandt’s conjecture. Zbl 1393.37062Calegari, Danny; Koch, Sarah; Walker, Alden 4 2017 A disconnected deformation space of rational maps. Zbl 1419.37041Hironaka, Eriko; Koch, Sarah 2 2017 Eigenvalues of the Thurston operator. Zbl 1453.37038Buff, Xavier; Epstein, Adam L.; Koch, Sarah 1 2020 On balanced planar graphs, following W. Thurston. Zbl 1452.57020Koch, Sarah; Lei, Tan 1 2020 SaddleDrop: a tool for studying dynamics in \(\mathbb{C}^2\). Zbl 1197.65208Koch, Sarah C. 1 2010 Eigenvalues of the Thurston operator. Zbl 1453.37038Buff, Xavier; Epstein, Adam L.; Koch, Sarah 1 2020 On balanced planar graphs, following W. Thurston. Zbl 1452.57020Koch, Sarah; Lei, Tan 1 2020 Origami, affine maps, and complex dynamics. Zbl 1388.37056Floyd, William; Kelsey, Gregory; Koch, Sarah; Lodge, Russell; Parry, Walter; Pilgrim, Kevin M.; Saenz, Edgar 5 2017 Roots, Schottky semigroups, and a proof of Bandt’s conjecture. Zbl 1393.37062Calegari, Danny; Koch, Sarah; Walker, Alden 4 2017 A disconnected deformation space of rational maps. Zbl 1419.37041Hironaka, Eriko; Koch, Sarah 2 2017 Pullback invariants of Thurston maps. Zbl 1343.30038Koch, Sarah; Pilgrim, Kevin M.; Selinger, Nikita 12 2016 Computing dynamical degrees of rational maps on moduli space. Zbl 1378.37082Koch, Sarah; Roeder, Roland K. W. 5 2016 An analytic construction of the Deligne-Mumford compactification of the moduli space of curves. Zbl 1318.32019Hubbard, John H.; Koch, Sarah 20 2014 Teichmüller theory and critically finite endomorphisms. Zbl 1310.32016Koch, Sarah 24 2013 Böttcher coordinates. Zbl 1288.37012Buff, Xavier; Epstein, Adam; Koch, Sarah 9 2012 Questions about polynomial matings. Zbl 1364.37099Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan 7 2012 Twisted matings and equipotential gluings. Zbl 1408.37084Buff, Xavier; Epstein, Adam L.; Koch, Sarah 6 2012 SaddleDrop: a tool for studying dynamics in \(\mathbb{C}^2\). Zbl 1197.65208Koch, Sarah C. 1 2010 On Thurston’s pullback map. Zbl 1180.37065Buff, Xavier; Epstein, Adam; Koch, Sarah; Pilgrim, Kevin 16 2009 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 9 Pilgrim, Kevin M. 8 Koch, Sarah Colleen 5 Floyd, William J. 5 Parry, Walter R. 5 Ramadas, Rohini 4 Bartholdi, Laurent 4 Ueno, Kohei 3 Dudko, Dzmitry 2 Astorg, Matthieu 2 Bainbridge, Matt 2 Buff, Xavier 2 Dang, Nguyen-Bac 2 Epstein, Adam Lawrence 2 Eskin, Alex 2 Favre, Charles 2 Hironaka, Eriko 2 Ishii, Yutaka 2 Kelsey, Gregory A. 2 Lei, Tan 2 Lodge, Russell 2 Möller, Martin 2 Saenz, Edgar A. 2 Selinger, Nikita 1 Ávarez-Parrilla, Á. 1 Benedetto, Robert L. 1 Berman, Robert J. 1 Biane, Philippe 1 Boissy, Corentin 1 Boyd, Suzanne Hruska 1 Bray, Harrison 1 Calegari, Danny Matthew Cornelius 1 Cannon, James W. 1 Chen, Dawei 1 Chéritat, Arnaud 1 Cordwell, Kristin 1 Cui, Guizhen 1 Davis, Diana 1 Degrijse, Dieter 1 DeMarco, Laura Grace 1 Díaz, Raquel Gómez 1 Dozier, Benjamin 1 Gao, Yan 1 Gendron, Quentin 1 Gignac, William 1 Gilbertson, Selina 1 González-Aguilera, Víctor 1 González-Cely, Leydi J. 1 Grushevsky, Samuel 1 Guenancia, Henri 1 Gupta, Subhojoy 1 Gutiérrez-Soto, Roberto 1 Habegger, Philipp 1 He, Yan Mary 1 Henriksen, Christian 1 Hidalgo, Rubén Antonio 1 Himeki, Yutaro 1 Hu, Guangming 1 Ingram, Patrick 1 Ji, Zhuchao 1 Jones, Rafe 1 Kal’nitskiĭ, Vyacheslav S. 1 Kontsevich, Maxim Lvovich 1 Kra, Irwin 1 Le, van Tu 1 Levy, Alon 1 Lin, Jan-Li 1 Lindsey, Kathryn A. 1 Logde, Russell 1 Luo, Yusheng 1 Matsumoto, Yukio 1 McMullen, Curtis Tracy 1 Meyer, Daniel 1 Mirzakhani, Maryam 1 Miyachi, Hideki 1 Mohammadi, Amir 1 Muciño-Raymundo, Jesús 1 Nekrashevych, Volodymyr V. 1 Nuechterlein, Nicholas 1 Petrosyan, Nansen 1 Pinella, Samantha 1 Qi, Yi 1 Rees, Mary 1 Rodríguez-Basulto, Clío H. 1 Roeder, Roland K. W. 1 Ruggiero, Matteo 1 Rugh, Hans Henrik 1 Salerno, Adriana 1 Sapir, Jenya 1 Shaw, Kristin M. 1 Shepelevtseva, Anastasia 1 Silverman, Joseph Hillel 1 Tamburelli, Andrea 1 Thurston, Dylan Paul 1 Timorin, Vladlen Anatol’evich 1 Walker, Alden 1 Wilkerson, Mary 1 Wolpert, Scott A. 1 Zorich, Anton all top 5 Cited in 34 Serials 9 Ergodic Theory and Dynamical Systems 9 Conformal Geometry and Dynamics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 3 Groups, Geometry, and Dynamics 3 Arnold Mathematical Journal 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Fundamenta Mathematicae 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Vestnik St. Petersburg University. Mathematics 1 The Electronic Journal of Combinatorics 1 Advances in Geometry 1 Algebraic & Geometric Topology 1 Miscelánea Matemática 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Modern Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Research in the Mathematical Sciences 1 Annales Fennici Mathematici all top 5 Cited in 20 Fields 50 Dynamical systems and ergodic theory (37-XX) 24 Several complex variables and analytic spaces (32-XX) 19 Functions of a complex variable (30-XX) 17 Algebraic geometry (14-XX) 15 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 2 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year