Edit Profile (opens in new tab) Schmidt, Thomas A. Co-Author Distance Author ID: schmidt.thomas-a Published as: Schmidt, Thomas A.; Schmidt, Thomas; Schmidt, T. more...less Homepage: https://math.oregonstate.edu/directory/thomas-a-schmidt External Links: MGP Documents Indexed: 54 Publications since 1990, including 7 Additional arXiv Preprints Reviewing Activity: 151 Reviews Co-Authors: 29 Co-Authors with 44 Joint Publications 508 Co-Co-Authors all top 5 Co-Authors 10 single-authored 10 Sheingorn, Mark E. 9 Hubert, Pascal 8 Kraaikamp, Cor 5 Calta, Kariane 4 Arnoux, Pierre 2 Daowsud, Katthaleeya 2 Smeets, Ionica 1 Bugeaud, Yann 1 Burton, Robert M. jun. 1 Crisp, David James 1 Do, Hieu Trung 1 Dziadosz, Susan 1 Edwards, Brandon 1 Fisher, Albert Meads 1 Garity, Dennis J. 1 Gutkin, Eugene 1 Insel, Thomas 1 Koç, Çetin Kaya 1 Masur, Howard A. 1 Nakada, Hitoshi 1 Rosen, David 1 Sanderson, Slade 1 Savaş, Erkay 1 Smith, Katherine M. 1 Steiner, Wolfgang 1 Walker, Mesa 1 Wiles, Peter 1 Yıltekin-Karataş, Ayşe 1 Zorich, Anton Vladimirovich all top 5 Serials 4 Journal of Number Theory 3 Journal of Modern Dynamics 2 Nonlinearity 2 Bulletin de la Société Mathématique de France 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of the Australian Mathematical Society 2 International Journal of Number Theory 1 Bulletin of the Australian Mathematical Society 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the American Mathematical Society. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 RIMS Kôkyûroku Bessatsu 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 40 Number theory (11-XX) 22 Functions of a complex variable (30-XX) 21 Dynamical systems and ergodic theory (37-XX) 9 Group theory and generalizations (20-XX) 5 Algebraic geometry (14-XX) 5 Manifolds and cell complexes (57-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 306 times in 198 Documents Cited by ▼ Year ▼ An introduction to Veech surfaces. Zbl 1130.37367 Hubert, Pascal; Schmidt, Thomas A. 41 2006 Natural extensions for the Rosen fractions. Zbl 0938.11036 Burton, Robert M.; Kraaikamp, Cornelis; Schmidt, Thomas A. 24 2000 Invariants of translation surfaces. Zbl 0985.32008 Hubert, Pascal; Schmidt, Thomas A. 23 2001 Infinitely generated Veech groups. Zbl 1056.30044 Hubert, Pascal; Schmidt, Thomas A. 23 2004 Length spectra of the Hecke triangle groups. Zbl 0840.11019 Schmidt, Thomas A.; Sheingorn, Mark 20 1995 Natural extensions and entropy of \(\alpha \)-continued fractions. Zbl 1333.11079 Kraaikamp, Cor; Schmidt, Thomas A.; Steiner, Wolfgang 20 2012 Affine diffeomorphisms of translation surfaces: periodic points, Fuchsian groups, and arithmeticity. Zbl 1106.37018 Gutkin, Eugene; Hubert, Pascal; Schmidt, Thomas A. 19 2003 Veech surfaces with nonperiodic directions in the trace field. Zbl 1186.37050 Arnoux, Pierre; Schmidt, Thomas A. 16 2009 Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019 Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton 12 2006 Cross sections for geodesic flows and \(\alpha\)-continued fractions. Zbl 1268.37038 Arnoux, Pierre; Schmidt, Thomas A. 11 2013 Hecke groups and continued fractions. Zbl 0754.11012 Rosen, D.; Schmidt, T. 8 1992 Veech groups and polygonal coverings. Zbl 0977.30027 Hubert, Pascal; Schmidt, Thomas A. 7 2000 Remarks on the Rosen \(\lambda\)-continued fractions. Zbl 0790.11043 Schmidt, Thomas A. 7 1993 Infinitely many lattice surfaces with special pseudo-Anosov maps. Zbl 1322.30015 Calta, Kariane; Schmidt, Thomas A. 6 2013 Continued fractions for a class of triangle groups. Zbl 1336.11051 Calta, Kariane; Schmidt, Thomas A. 6 2012 Riemann surfaces have Hall rays at each cusp. Zbl 0877.30019 Schmidt, Thomas A.; Sheingorn, Mark 5 1997 Rational period functions and parabolic cohomology. Zbl 0874.11039 Schmidt, Thomas A. 5 1996 Natural extensions for \(\alpha \)-Rosen continued fractions. Zbl 1209.11078 Kraaikamp, Cornelis; Schmidt, Thomas A.; Smeets, Ionica 5 2010 Transcendence with Rosen continued fractions. Zbl 1331.11054 Bugeaud, Yann; Hubert, Pascal; Schmidt, Thomas A. 5 2013 On the infinite volume Hecke surfaces. Zbl 0838.30039 Schmidt, Thomas A.; Sheingorn, Mark 4 1995 Parametrizing simple closed geodesy on \(\Gamma^3 \setminus{\mathcal H}\). Zbl 1111.11035 Schmidt, Thomas A.; Sheingorn, Mark 4 2003 New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant. Zbl 1426.37039 Do, Hieu Trung; Schmidt, Thomas A. 3 2016 Closed curves and geodesics with two self-intersections on the punctured torus. Zbl 0901.57022 Crisp, David; Dziadosz, Susan; Garity, Dennis J.; Insel, Thomas; Schmidt, Thomas A.; Wiles, Peter 3 1998 Galois orbits of principle congruence Hecke curves. Zbl 1046.11046 Schmidt, Thomas A.; Smith, Katherine M. 3 2003 Diophantine approximation on Veech surfaces. (Approximation diophantienne sur les surfaces de Veech.) Zbl 1316.11061 Hubert, Pascal; Schmidt, Thomas A. 3 2012 Generating elliptic curves of prime order. Zbl 1012.94546 Savaş, Erkay; Schmidt, Thomas A.; Koç, Çetin K. 2 2001 Commensurable continued fractions. Zbl 1351.37164 Arnoux, Pierre; Schmidt, Thomas A. 2 2014 Distribution of approximants and geodesic flows. Zbl 1326.37024 Fisher, Albert M.; Schmidt, Thomas A. 2 2014 Infinitely many real quadratic fields of class number one. Zbl 0839.11053 Schmidt, Thomas A. 2 1995 Geometry of infinitely generated Veech groups. Zbl 1095.30033 Hubert, Pascal; Schmidt, Thomas A. 2 2006 Metric and arithmetic properties of mediant-Rosen maps. Zbl 1238.11074 Kraaikamp, Cor; Nakada, Hitoshi; Schmidt, Thomas A. 2 2009 Natural extensions and Gauss measures for piecewise homographic continued fractions. (Extensions naturelles et mesures de Gauss pour des algorithmes de fraction continues homographiques par morceaux.) Zbl 1432.37065 Arnoux, Pierre; Schmidt, Thomas A. 2 2019 Low height geodesic on \(\Gamma^3\backslash\mathcal H\) height formulas and examples. Zbl 1197.11049 Schmidt, Thomas A.; Sheingorn, Mark 2 2007 Tong’s spectrum for Rosen continued fractions. Zbl 1173.11042 Kraaikamp, Cornelis; Schmidt, Thomas A.; Smeets, Ionica 2 2007 Continued fractions for rational torsion. Zbl 1505.11156 Daowsud, Katthaleeya; Schmidt, Thomas A. 1 2018 Klein’s cubic surface and a ‘non-arithmetic’ curve. Zbl 0885.11033 Schmidt, Thomas A. 1 1997 Classifying low height geodesics on \(\Gamma^3\setminus \mathcal H\). Zbl 1197.11048 Schmidt, Thomas A.; Sheingorn, Mark 1 2007 Canonical translation surfaces for computing Veech groups. Zbl 1511.37042 Edwards, Brandon; Sanderson, Slade; Schmidt, Thomas A. 1 2022 Synchronization is full measure for all \(\alpha\)-deformations of an infinite class of continued fractions. Zbl 1475.37009 Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. 1 2020 Canonical translation surfaces for computing Veech groups. Zbl 1511.37042 Edwards, Brandon; Sanderson, Slade; Schmidt, Thomas A. 1 2022 Synchronization is full measure for all \(\alpha\)-deformations of an infinite class of continued fractions. Zbl 1475.37009 Calta, Kariane; Kraaikamp, Cor; Schmidt, Thomas A. 1 2020 Natural extensions and Gauss measures for piecewise homographic continued fractions. (Extensions naturelles et mesures de Gauss pour des algorithmes de fraction continues homographiques par morceaux.) Zbl 1432.37065 Arnoux, Pierre; Schmidt, Thomas A. 2 2019 Continued fractions for rational torsion. Zbl 1505.11156 Daowsud, Katthaleeya; Schmidt, Thomas A. 1 2018 New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant. Zbl 1426.37039 Do, Hieu Trung; Schmidt, Thomas A. 3 2016 Commensurable continued fractions. Zbl 1351.37164 Arnoux, Pierre; Schmidt, Thomas A. 2 2014 Distribution of approximants and geodesic flows. Zbl 1326.37024 Fisher, Albert M.; Schmidt, Thomas A. 2 2014 Cross sections for geodesic flows and \(\alpha\)-continued fractions. Zbl 1268.37038 Arnoux, Pierre; Schmidt, Thomas A. 11 2013 Infinitely many lattice surfaces with special pseudo-Anosov maps. Zbl 1322.30015 Calta, Kariane; Schmidt, Thomas A. 6 2013 Transcendence with Rosen continued fractions. Zbl 1331.11054 Bugeaud, Yann; Hubert, Pascal; Schmidt, Thomas A. 5 2013 Natural extensions and entropy of \(\alpha \)-continued fractions. Zbl 1333.11079 Kraaikamp, Cor; Schmidt, Thomas A.; Steiner, Wolfgang 20 2012 Continued fractions for a class of triangle groups. Zbl 1336.11051 Calta, Kariane; Schmidt, Thomas A. 6 2012 Diophantine approximation on Veech surfaces. (Approximation diophantienne sur les surfaces de Veech.) Zbl 1316.11061 Hubert, Pascal; Schmidt, Thomas A. 3 2012 Natural extensions for \(\alpha \)-Rosen continued fractions. Zbl 1209.11078 Kraaikamp, Cornelis; Schmidt, Thomas A.; Smeets, Ionica 5 2010 Veech surfaces with nonperiodic directions in the trace field. Zbl 1186.37050 Arnoux, Pierre; Schmidt, Thomas A. 16 2009 Metric and arithmetic properties of mediant-Rosen maps. Zbl 1238.11074 Kraaikamp, Cor; Nakada, Hitoshi; Schmidt, Thomas A. 2 2009 Low height geodesic on \(\Gamma^3\backslash\mathcal H\) height formulas and examples. Zbl 1197.11049 Schmidt, Thomas A.; Sheingorn, Mark 2 2007 Tong’s spectrum for Rosen continued fractions. Zbl 1173.11042 Kraaikamp, Cornelis; Schmidt, Thomas A.; Smeets, Ionica 2 2007 Classifying low height geodesics on \(\Gamma^3\setminus \mathcal H\). Zbl 1197.11048 Schmidt, Thomas A.; Sheingorn, Mark 1 2007 An introduction to Veech surfaces. Zbl 1130.37367 Hubert, Pascal; Schmidt, Thomas A. 41 2006 Problems on billiards, flat surfaces and translation surfaces. Zbl 1307.37019 Hubert, Pascal; Masur, Howard; Schmidt, Thomas; Zorich, Anton 12 2006 Geometry of infinitely generated Veech groups. Zbl 1095.30033 Hubert, Pascal; Schmidt, Thomas A. 2 2006 Infinitely generated Veech groups. Zbl 1056.30044 Hubert, Pascal; Schmidt, Thomas A. 23 2004 Affine diffeomorphisms of translation surfaces: periodic points, Fuchsian groups, and arithmeticity. Zbl 1106.37018 Gutkin, Eugene; Hubert, Pascal; Schmidt, Thomas A. 19 2003 Parametrizing simple closed geodesy on \(\Gamma^3 \setminus{\mathcal H}\). Zbl 1111.11035 Schmidt, Thomas A.; Sheingorn, Mark 4 2003 Galois orbits of principle congruence Hecke curves. Zbl 1046.11046 Schmidt, Thomas A.; Smith, Katherine M. 3 2003 Invariants of translation surfaces. Zbl 0985.32008 Hubert, Pascal; Schmidt, Thomas A. 23 2001 Generating elliptic curves of prime order. Zbl 1012.94546 Savaş, Erkay; Schmidt, Thomas A.; Koç, Çetin K. 2 2001 Natural extensions for the Rosen fractions. Zbl 0938.11036 Burton, Robert M.; Kraaikamp, Cornelis; Schmidt, Thomas A. 24 2000 Veech groups and polygonal coverings. Zbl 0977.30027 Hubert, Pascal; Schmidt, Thomas A. 7 2000 Closed curves and geodesics with two self-intersections on the punctured torus. Zbl 0901.57022 Crisp, David; Dziadosz, Susan; Garity, Dennis J.; Insel, Thomas; Schmidt, Thomas A.; Wiles, Peter 3 1998 Riemann surfaces have Hall rays at each cusp. Zbl 0877.30019 Schmidt, Thomas A.; Sheingorn, Mark 5 1997 Klein’s cubic surface and a ‘non-arithmetic’ curve. Zbl 0885.11033 Schmidt, Thomas A. 1 1997 Rational period functions and parabolic cohomology. Zbl 0874.11039 Schmidt, Thomas A. 5 1996 Length spectra of the Hecke triangle groups. Zbl 0840.11019 Schmidt, Thomas A.; Sheingorn, Mark 20 1995 On the infinite volume Hecke surfaces. Zbl 0838.30039 Schmidt, Thomas A.; Sheingorn, Mark 4 1995 Infinitely many real quadratic fields of class number one. Zbl 0839.11053 Schmidt, Thomas A. 2 1995 Remarks on the Rosen \(\lambda\)-continued fractions. Zbl 0790.11043 Schmidt, Thomas A. 7 1993 Hecke groups and continued fractions. Zbl 0754.11012 Rosen, D.; Schmidt, T. 8 1992 all cited Publications top 5 cited Publications all top 5 Cited by 222 Authors 21 Schmidt, Thomas A. 11 Hubert, Pascal 9 Kraaikamp, Cor 7 Koruoglu, Ozden 6 Langeveld, Niels Daniël Simon 6 Nguyen, Duc-Manh 5 Dajani, Karma 5 Kalle, Charlene 5 McMullen, Curtis Tracy 5 Nakada, Hitoshi 5 Sahin, Recep 5 Sheingorn, Mark E. 5 Weitze-Schmithüsen, Gabriela 4 Carminati, Carlo 4 Matheus, Carlos 4 Ressler, Wendell 4 Weiss, Barak 4 Wright, Alex 3 Bruin, Henk 3 Demir, Bilal 3 Francaviglia, Stefano 3 Gutkin, Eugene 3 Marchese, Luca 3 Masur, Howard A. 3 Merriman, Claire 3 Möller, Martin 3 Panti, Giovanni 3 Steiner, Wolfgang 3 Ulcigrai, Corinna 3 Vandehey, Joseph 3 Yılmaz Özgür, Nihal 2 Apisa, Paul 2 Arnoux, Pierre 2 Beck, József 2 Boca, Florin-Petre 2 Boulanger, Julien 2 Burton, Robert M. jun. 2 Calsamiglia-Mendlewicz, Gabriel 2 Calta, Kariane 2 Cangul, Ismail Naci 2 Chen, Bo 2 Delecroix, Vincent 2 Deroin, Bertrand 2 Eskin, Alex 2 Finster, Myriam 2 Forni, Giovanni 2 Freedman, Sam 2 Heersink, Byron 2 Hooper, W. Patrick 2 Ikikardes, Sebahattin 2 Lanneau, Erwan 2 Lelièvre, Samuel 2 Meral, Taner 2 Natsui, Rie 2 Schmoll, Martin Johannes 2 Sebe, Gabriela Ileana 2 Shinomiya, Yoshihiko 2 Skripchenko, Alexandra 2 Smeets, Ionica 2 Smillie, John 2 Strenner, Balázs 2 Thuswaldner, Jörg Maximilian 2 Yang, Yuxuan 2 Yuan, Pingzhi 2 Zhong, Yumin 1 Adiceam, Faustin 1 Albers, Peter 1 Andersen, Nickolas 1 Arredondo, John Alexander 1 Artigiani, Mauro 1 Athreya, Jayadev S. 1 Aulicino, David 1 Avila, Artur 1 Baik, Hyungryul 1 Barat, Guy 1 Bédaride, Nicolas 1 Berman, Jonah 1 Bertazzon, Jean-Francois 1 Berthé, Valérie 1 Besbes, Yosra 1 Birol, Furkan 1 Borovkova, Svetlana 1 Bouw, Irene I. 1 Bröker, Reinier 1 Broughton, S. Allen 1 Bruggeman, Roelof Wichert 1 Bugeaud, Yann 1 Capuano, Laura 1 Chen, Joe Po-Chou 1 Chen, William Wai Lim 1 Chen, William Yun 1 Cheung, Yitwah 1 Choi, Inhyeok 1 Choie, YoungJu 1 Chowdhury, Zawad 1 Clark, Peter Louis 1 Cohen, Meital 1 Colognese, Paul 1 Das, Tushar Kanti 1 Dauer, Thomas ...and 122 more Authors all top 5 Cited in 80 Serials 12 Geometriae Dedicata 10 Journal of Number Theory 9 Ergodic Theory and Dynamical Systems 7 Transactions of the American Mathematical Society 7 Journal of Modern Dynamics 6 Geometric and Functional Analysis. GAFA 6 Geometry & Topology 5 Annales de l’Institut Fourier 5 Bulletin de la Société Mathématique de France 5 Discrete and Continuous Dynamical Systems 5 International Journal of Number Theory 4 Israel Journal of Mathematics 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Bulletin of the American Mathematical Society. New Series 4 Experimental Mathematics 3 Nonlinearity 3 Acta Arithmetica 3 Inventiones Mathematicae 3 Mathematische Nachrichten 3 Acta Mathematica Hungarica 3 Indagationes Mathematicae. New Series 3 The Ramanujan Journal 3 Conformal Geometry and Dynamics 3 Journal of the European Mathematical Society (JEMS) 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Monatshefte für Mathematik 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Journal de Théorie des Nombres de Bordeaux 2 Honam Mathematical Journal 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Fixed Point Theory and Applications 2 Groups, Geometry, and Dynamics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Commentationes Mathematicae Universitatis Carolinae 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Differential Geometry and its Applications 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Algebra Colloquium 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Algebras and Representation Theory 1 Chaos 1 Integers 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Topology 1 Asian-European Journal of Mathematics 1 Arnold Mathematical Journal 1 Actes des Rencontres du C.I.R.M. all top 5 Cited in 27 Fields 96 Number theory (11-XX) 95 Dynamical systems and ergodic theory (37-XX) 65 Functions of a complex variable (30-XX) 45 Several complex variables and analytic spaces (32-XX) 31 Group theory and generalizations (20-XX) 27 Algebraic geometry (14-XX) 21 Manifolds and cell complexes (57-XX) 12 Measure and integration (28-XX) 9 Differential geometry (53-XX) 8 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year