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## Möller, Martin

Compute Distance To:
 Author ID: moller.martin Published as: Moller, Martin; Möller, M.; Möller, Martin Homepage: https://www.uni-frankfurt.de/49952390/Moeller External Links: MGP · Wikidata · GND
 Documents Indexed: 49 Publications since 2005, including 2 Books
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#### Co-Authors

 12 single-authored 6 Chen, Dawei 5 Bainbridge, Matt 5 Grushevsky, Samuel 4 Zorich, Anton 3 Hubert, Pascal 3 Lanneau, Erwan 3 Viehweg, Eckart 3 Zagier, Don Bernard 2 Bouw, Irene I. 2 Eskin, Alex 2 Gendron, Quentin 2 Goujard, Elise 2 Kappes, André 2 Kolyada, Sergiǐ Fedorovych 2 Masur, Howard A. 2 Moree, Pieter 2 Ward, Thomas B. 2 Zuo, Kang 1 Avila Cordeiro de Melo, Artur 1 Bruinier, Jan Hendrik 1 Habegger, Philipp 1 Kontsevich, Maxim Lvovich 1 Manin, Yuri Ivanovich 1 Matheus, Carlos 1 Pohl, Anke D. 1 Sauvaget, Adrien 1 Toledo, Domingo 1 Torres-Teigell, David 1 Yoccoz, Jean-Christophe
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#### Serials

 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Geometry & Topology 3 Oberwolfach Reports 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Journal of the American Mathematical Society 2 Contemporary Mathematics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Geometry 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Algebraic & Geometric Topology 1 Journal of Modern Dynamics 1 Algebra & Number Theory 1 Algebraic Geometry
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#### Fields

 36 Algebraic geometry (14-XX) 28 Several complex variables and analytic spaces (32-XX) 18 Functions of a complex variable (30-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

39 Publications have been cited 371 times in 194 Documents Cited by Year
Teichmüller curves, triangle groups, and Lyapunov exponents. Zbl 1203.37049
Bouw, Irene I.; Möller, Martin
2010
Variations of Hodge structures of a Teichmüller curve. Zbl 1090.32004
Möller, Martin
2006
Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve. Zbl 1111.14019
Möller, Martin
2006
Shimura and Teichmüller curves. Zbl 1221.14033
Möller, Martin
2011
Compactification of strata of abelian differentials. Zbl 1403.14058
Bainbridge, Matt; Chen, Dawei; Gendron, Quentin; Grushevsky, Samuel; Möller, Martin
2018
The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3. Zbl 1250.14014
Bainbridge, Matt; Möller, Martin
2012
Nonvarying sums of Lyapunov exponents of abelian differentials in low genus. Zbl 1266.14018
Chen, Dawei; Möller, Martin
2012
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces. Zbl 1364.37081
Matheus, Carlos; Möller, Martin; Yoccoz, Jean-Christophe
2015
Symplectic and isometric $$\mathrm{SL}(2,\mathbb{R})$$-invariant subbundles of the Hodge bundle. Zbl 1387.14093
Avila, Artur; Eskin, Alex; Möller, Martin
2017
Quadratic differentials in low genus: exceptional and non-varying strata. Zbl 1395.14008
Chen, Dawei; Möller, Martin
2014
Quasimodularity and large genus limits of Siegel-Veech constants. Zbl 1404.32025
Chen, Dawei; Möller, Martin; Zagier, Don
2018
Finiteness results for Teichmüller curves. Zbl 1140.14010
Möller, Martin
2008
Teichmüller curves, Galois actions and $$\widehat{GT}$$-relations. Zbl 1081.14039
Möller, Martin
2005
Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant. Zbl 1277.37048
Möller, M.; Pohl, A. D.
2013
The Arnoux-Yoccoz Teichmüller disc. Zbl 1179.32004
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2009
Strata of $$k$$-differentials. Zbl 1440.14148
Bainbridge, Matt; Chen, Dawei; Gendron, Quentin; Grushevsky, Samuel; Möller, Martin
2019
Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036
Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton
2018
Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces. Zbl 1357.14042
Möller, Martin
2014
Modular embeddings of Teichmüller curves. Zbl 1386.14118
Möller, Martin; Zagier, Don
2016
Lyapunov spectrum of ball quotients with applications to commensurability questions. Zbl 1334.22010
Kappes, André; Möller, Martin
2016
Bounded negativity of self-intersection numbers of Shimura curves in Shimura surfaces. Zbl 1327.14122
Möller, Martin; Toledo, Domingo
2015
Teichmüller curves, mainly from the viewpoint of algebraic geometry. Zbl 1279.14031
Möller, Martin
2013
Linear manifolds in the moduli space of one-forms. Zbl 1148.32007
Möller, Martin
2008
Explicit formulas for infinitely many Shimura curves in genus $$4$$. Zbl 1393.14020
Grushevsky, Samuel; Möller, Martin
2018
Completely periodic directions and orbit closures of many pseudo-Anosov Teichmueller discs in $$\mathrm{Q}(1,1,1,1)$$. Zbl 1244.32010
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2012
Differential equations associated with nonarithmetic Fuchsian groups. Zbl 1184.12003
Bouw, Irene I.; Möller, Martin
2010
Affine groups of flat surfaces. Zbl 1179.30047
Möller, Martin
2009
Special families of curves, of abelian varieties, and of certain minimal manifolds over curves. Zbl 1112.14027
Möller, Martin; Viehweg, Eckart; Zuo, Kang
2006
Counting Feynman-like graphs: quasimodularity and Siegel-Veech weight. Zbl 1433.05155
Goujard, Elise; Möller, Martin
2020
Teichmüller curves in genus three and just likely intersections in $$\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}$$. Zbl 1357.14038
Bainbridge, Matt; Habegger, Philipp; Möller, Martin
2016
Shimura curves within the locus of hyperelliptic Jacobians in genus 3. Zbl 1338.14046
Grushevsky, Samuel; Möller, Martin
2016
Stability of Hodge bundles and a numerical characterization of Shimura varieties. Zbl 1435.14025
Möller, Martin; Viehweg, Eckart; Zuo, Kang
2012
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials. Zbl 1446.14015
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don
2020
The locus of real multiplication and the Schottky locus. Zbl 1333.14022
Bainbridge, Matt; Möller, Martin
2014
$$\mathrm{GL}_2^+(\mathbb R)$$-orbit closures via topological splittings. Zbl 1214.30002
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2010
Kobayashi geodesics in $$\mathcal A_g$$. Zbl 1218.14036
Möller, Martin; Viehweg, Eckart
2010
Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Zbl 1205.00087
Kolyada, Sergiy (ed.); Manin, Yuri (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2010
Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Zbl 1346.37004
Kolyada, Sergiǐ (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2016
Maximally irregularly fibred surfaces of general type. Zbl 1086.14033
Möller, Martin
2005
Counting Feynman-like graphs: quasimodularity and Siegel-Veech weight. Zbl 1433.05155
Goujard, Elise; Möller, Martin
2020
Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials. Zbl 1446.14015
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don
2020
Strata of $$k$$-differentials. Zbl 1440.14148
Bainbridge, Matt; Chen, Dawei; Gendron, Quentin; Grushevsky, Samuel; Möller, Martin
2019
Compactification of strata of abelian differentials. Zbl 1403.14058
Bainbridge, Matt; Chen, Dawei; Gendron, Quentin; Grushevsky, Samuel; Möller, Martin
2018
Quasimodularity and large genus limits of Siegel-Veech constants. Zbl 1404.32025
Chen, Dawei; Möller, Martin; Zagier, Don
2018
Lower bounds for Lyapunov exponents of flat bundles on curves. Zbl 1386.37036
Eskin, Alex; Kontsevich, Maxim; Möller, Martin; Zorich, Anton
2018
Explicit formulas for infinitely many Shimura curves in genus $$4$$. Zbl 1393.14020
Grushevsky, Samuel; Möller, Martin
2018
Symplectic and isometric $$\mathrm{SL}(2,\mathbb{R})$$-invariant subbundles of the Hodge bundle. Zbl 1387.14093
Avila, Artur; Eskin, Alex; Möller, Martin
2017
Modular embeddings of Teichmüller curves. Zbl 1386.14118
Möller, Martin; Zagier, Don
2016
Lyapunov spectrum of ball quotients with applications to commensurability questions. Zbl 1334.22010
Kappes, André; Möller, Martin
2016
Teichmüller curves in genus three and just likely intersections in $$\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}$$. Zbl 1357.14038
Bainbridge, Matt; Habegger, Philipp; Möller, Martin
2016
Shimura curves within the locus of hyperelliptic Jacobians in genus 3. Zbl 1338.14046
Grushevsky, Samuel; Möller, Martin
2016
Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Zbl 1346.37004
Kolyada, Sergiǐ (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2016
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces. Zbl 1364.37081
Matheus, Carlos; Möller, Martin; Yoccoz, Jean-Christophe
2015
Bounded negativity of self-intersection numbers of Shimura curves in Shimura surfaces. Zbl 1327.14122
Möller, Martin; Toledo, Domingo
2015
Quadratic differentials in low genus: exceptional and non-varying strata. Zbl 1395.14008
Chen, Dawei; Möller, Martin
2014
Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces. Zbl 1357.14042
Möller, Martin
2014
The locus of real multiplication and the Schottky locus. Zbl 1333.14022
Bainbridge, Matt; Möller, Martin
2014
Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant. Zbl 1277.37048
Möller, M.; Pohl, A. D.
2013
Teichmüller curves, mainly from the viewpoint of algebraic geometry. Zbl 1279.14031
Möller, Martin
2013
The Deligne-Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3. Zbl 1250.14014
Bainbridge, Matt; Möller, Martin
2012
Nonvarying sums of Lyapunov exponents of abelian differentials in low genus. Zbl 1266.14018
Chen, Dawei; Möller, Martin
2012
Completely periodic directions and orbit closures of many pseudo-Anosov Teichmueller discs in $$\mathrm{Q}(1,1,1,1)$$. Zbl 1244.32010
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2012
Stability of Hodge bundles and a numerical characterization of Shimura varieties. Zbl 1435.14025
Möller, Martin; Viehweg, Eckart; Zuo, Kang
2012
Shimura and Teichmüller curves. Zbl 1221.14033
Möller, Martin
2011
Teichmüller curves, triangle groups, and Lyapunov exponents. Zbl 1203.37049
Bouw, Irene I.; Möller, Martin
2010
Differential equations associated with nonarithmetic Fuchsian groups. Zbl 1184.12003
Bouw, Irene I.; Möller, Martin
2010
$$\mathrm{GL}_2^+(\mathbb R)$$-orbit closures via topological splittings. Zbl 1214.30002
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2010
Kobayashi geodesics in $$\mathcal A_g$$. Zbl 1218.14036
Möller, Martin; Viehweg, Eckart
2010
Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Zbl 1205.00087
Kolyada, Sergiy (ed.); Manin, Yuri (ed.); Möller, Martin (ed.); Moree, Pieter (ed.); Ward, Thomas (ed.)
2010
The Arnoux-Yoccoz Teichmüller disc. Zbl 1179.32004
Hubert, Pascal; Lanneau, Erwan; Möller, Martin
2009
Affine groups of flat surfaces. Zbl 1179.30047
Möller, Martin
2009
Finiteness results for Teichmüller curves. Zbl 1140.14010
Möller, Martin
2008
Linear manifolds in the moduli space of one-forms. Zbl 1148.32007
Möller, Martin
2008
Variations of Hodge structures of a Teichmüller curve. Zbl 1090.32004
Möller, Martin
2006
Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve. Zbl 1111.14019
Möller, Martin
2006
Special families of curves, of abelian varieties, and of certain minimal manifolds over curves. Zbl 1112.14027
Möller, Martin; Viehweg, Eckart; Zuo, Kang
2006
Teichmüller curves, Galois actions and $$\widehat{GT}$$-relations. Zbl 1081.14039
Möller, Martin
2005
Maximally irregularly fibred surfaces of general type. Zbl 1086.14033
Möller, Martin
2005
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#### Cited by 179 Authors

 17 Möller, Martin 13 Wright, Alex 12 Chen, Dawei 10 Matheus, Carlos 7 Eskin, Alex 7 Hubert, Pascal 7 McMullen, Curtis Tracy 6 Avila Cordeiro de Melo, Artur 6 Nguyen, Duc-Manh 6 Pohl, Anke D. 6 Zagier, Don Bernard 6 Zuo, Kang 5 Bainbridge, Matt 5 Filip, Simion 5 Yoccoz, Jean-Christophe 4 Aulicino, David 4 Forni, Giovanni 4 Ghigi, Alessandro 4 Goujard, Elise 4 Lanneau, Erwan 4 Mirzakhani, Maryam 4 Schmidt, Thomas A. 4 Zorich, Anton 3 Aggarwal, Amol 3 Frediani, Paola 3 Gendron, Quentin 3 Kappes, André 3 Lu, Xin 3 Mukamel, Ronen Eliahu 3 Sauvaget, Adrien 3 Stover, Matthew 3 Weiss, Barak 2 Apisa, Paul 2 Bruggeman, Roelof Wichert 2 Chen, Qile 2 Chinburg, Ted 2 Colombo, Elisabetta 2 Costantini, Matteo 2 Delecroix, Vincent 2 Fedosova, Ksenia 2 Finster, Myriam 2 Grushevsky, Samuel 2 Gupta, Subhojoy 2 Kontsevich, Maxim Lvovich 2 Kovács, Sándor J. 2 Lelièvre, Samuel 2 Lieblich, Max David 2 Markwig, Hannah 2 Masur, Howard A. 2 Mullane, Scott 2 Pirola, Gian Pietro 2 Pokora, Piotr 2 Shinomiya, Yoshihiko 2 Skripchenko, Alexandra 2 Tahar, Guillaume 2 van Ittersum, Jan-Willem M. 2 Weitze-Schmithüsen, Gabriela 2 Wu, Chenxi 2 Yu, Fei 1 Adam, Alexander 1 Albano, Alberto 1 Andreatta, Fabrizio 1 Arnoux, Pierre 1 Arredondo, John Alexander 1 Backes, Lucas H. 1 Barros, Ignacio 1 Bauer, Max 1 Bernat, Julien 1 Böhm, Janko 1 Bonanno, Claudio 1 Bouw, Irene I. 1 Bouwman, Andrew 1 Bowman, Joshua P. 1 Brandt, Madeline 1 Bressaud, Xavier 1 Bringmann, Kathrin 1 Bruinier, Jan Hendrik 1 Buchholz, Arne 1 Calderon, Aaron 1 Calta, Kariane 1 Chai, Chingli 1 Chen, Ercai 1 Cheung, Yitwah 1 Choie, YoungJu 1 Chua, Lynn 1 Cohen, Meital 1 de Jong, Robin 1 DeMarco, Laura Grace 1 Di Brino, Gennaro 1 Di Cerbo, Luca Fabrizio 1 Diamantis, Nikolaos 1 Dill, Gabriel A. 1 Do, Hieu Trung 1 Doran, Charles F. 1 Dozier, Benjamin 1 Ellenberg, Jordan S. 1 Farkas, Gavril 1 Fickenscher, Jon 1 Fougeron, Charles 1 Frączek, Krzysztof Marek ...and 79 more Authors
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#### Cited in 66 Serials

 11 Geometriae Dedicata 10 Duke Mathematical Journal 10 Geometric and Functional Analysis. GAFA 10 Journal of Modern Dynamics 9 Mathematische Annalen 9 Geometry & Topology 8 Annals of Mathematics. Second Series 7 Inventiones Mathematicae 7 Ergodic Theory and Dynamical Systems 6 Israel Journal of Mathematics 6 Annales de l’Institut Fourier 5 Journal of the American Mathematical Society 5 Journal of Algebraic Geometry 4 Advances in Mathematics 4 Mathematische Zeitschrift 3 Publications Mathématiques 3 Bulletin of the American Mathematical Society. New Series 3 Selecta Mathematica. New Series 3 Discrete and Continuous Dynamical Systems 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Journal of the Institute of Mathematics of Jussieu 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Experimental Mathematics 2 The Ramanujan Journal 2 Conformal Geometry and Dynamics 1 Communications in Mathematical Physics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Commentationes Mathematicae Universitatis Carolinae 1 Compositio Mathematica 1 Journal of Differential Geometry 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topology Proceedings 1 Annales Mathématiques Blaise Pascal 1 Documenta Mathematica 1 Data Mining and Knowledge Discovery 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 EMS Surveys in Mathematical Sciences 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 Research in Number Theory 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 25 Fields

 102 Algebraic geometry (14-XX) 89 Several complex variables and analytic spaces (32-XX) 82 Functions of a complex variable (30-XX) 74 Dynamical systems and ergodic theory (37-XX) 31 Number theory (11-XX) 12 Manifolds and cell complexes (57-XX) 10 Combinatorics (05-XX) 8 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 6 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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