Edit Profile (opens in new tab) Singer, David A. Co-Author Distance Author ID: singer.david-a Published as: Singer, David A.; Singer, David; Singer, D. more...less External Links: MGP Documents Indexed: 39 Publications since 1974, including 1 Book 1 Further Contribution Co-Authors: 13 Co-Authors with 32 Joint Publications 231 Co-Co-Authors all top 5 Co-Authors 8 single-authored 16 Langer, Joel C. 8 Gluck, Herman 2 Hochstenbach, Michiel E. 2 Krigelman, Kenneth 2 Zachlin, Paul F. 1 Alexander, Stephanie B. 1 Barros, Manuel 1 Connelly, Robert 1 Efimov, Nikolaĭ Vladimirovich 1 Garay, Oscar Jesus 1 Gertler, Janos J. 1 Hilton, Peter John 1 Huang, Rongpei 1 Ivey, Thomas A. 1 Jacobowitz, Howard 1 Kazdan, Jerry L. 1 Kolmogorov, Andreĭ Nikolaevich 1 Maltz, Robert 1 Moore, John Douglas 1 Novikov, Sergeĭ Petrovich 1 Roitberg, Joseph 1 Sabitov, Idzhad Khakovich 1 Steinberg, Daniel H. 1 Warner, Frank W. all top 5 Serials 3 American Mathematical Monthly 3 Journal of Differential Geometry 3 Milan Journal of Mathematics 2 Conformal Geometry and Dynamics 2 Annals of Mathematics. Second Series 2 Bulletin of the American Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 Automatica 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Topology 1 Annals of Global Analysis and Geometry 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Nova Journal of Algebra and Geometry 1 Forum Geometricorum 1 Mediterranean Journal of Mathematics 1 Complex Analysis and its Synergies 1 Geometry 1 Undergraduate Texts in Mathematics all top 5 Fields 24 Differential geometry (53-XX) 6 Geometry (51-XX) 6 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 773 times in 563 Documents Cited by ▼ Year ▼ Stable orbits and bifurcation of maps of the interval. Zbl 0391.58014 Singer, David 189 1978 The total squared curvature of closed curves. Zbl 0554.53013 Langer, Joel; Singer, David A. 154 1984 Knotted elastic curves in \({\mathbb{R}}^ 3\). Zbl 0595.53001 Langer, Joel; Singer, David A. 66 1984 Lagrangian aspects of the Kirchhoff elastic rod. Zbl 0859.73040 Langer, Joel; Singer, David A. 65 1996 Curve straightening and a minimax argument for closed elastic curves. Zbl 0561.53004 Langer, Joel; Singer, David A. 42 1985 Curves in the hyperbolic plane and mean curvature of tori in 3-space. Zbl 0554.53014 Langer, Joel; Singer, David 38 1984 Curve-straightening in Riemannian manifolds. Zbl 0653.53032 Langer, Joel; Singer, David A. 30 1987 Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001 Ivey, Thomas A.; Singer, David A. 27 1999 Scattering of geodesic fields, I. Zbl 0399.58011 Gluck, Herman; Singer, David 27 1978 A new structural framework for parity equation-based failure detection and isolation. Zbl 0701.90039 Gertler, Janos; Singer, David 20 1990 Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres. Zbl 0965.53040 Barros, Manuel; Garay, Oscar J.; Singer, David A. 16 1999 Foci and foliations of real algebraic curves. Zbl 1150.14005 Langer, Joel C.; Singer, David A. 10 2007 Liouville integrability of geometric variational problems. Zbl 0819.58017 Langer, J.; Singer, D. 10 1994 Scattering of geodesic fields. II. Zbl 0436.53047 Gluck, Herman; Singer, David A. 8 1979 Curves whose curvature depends on distance from the origin. Zbl 1037.53500 Singer, David A. 7 1999 The location of critical points of finite Blaschke products. Zbl 1093.53019 Singer, David A. 7 2006 Reflections on the lemniscate of Bernoulli: the forty-eight faces of a mathematical gem. Zbl 1227.14033 Langer, Joel C.; Singer, David A. 6 2010 The converse to the Gauss-Bonnet theorem in PL. Zbl 0294.57014 Gluck, Herman; Krigelman, Kenneth; Singer, David 6 1974 When is a curve an octahedron? Zbl 1206.53006 Langer, Joel C.; Singer, David A. 5 2010 Diffeomorphisms of the circle and hyperbolic curvature. Zbl 1039.53020 Singer, David A. 4 2001 Deformations of geodesic fields. Zbl 0334.53047 Gluck, Herman; Singer, David 4 1976 Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063 Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. 4 2013 The trefoil. Zbl 1312.14084 Langer, Joel C.; Singer, David A. 4 2014 Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one. Zbl 0508.58010 Langer, Joel; Singer, David A. 3 1982 The existence of nontriangulable cut loci. Zbl 0338.53045 Singer, David; Gluck, Herman 3 1976 A new flow on starlike curves in \(\mathbb{R}^3\). Zbl 1007.53007 Huang, Rongpei; Singer, David A. 3 2002 Preassigning curvature of polyhedra homeomorphic to the two-sphere. Zbl 0291.57009 Singer, David 3 1974 Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. Zbl 0483.53001 2 1980 Geometry: plane and fancy. Zbl 0893.51002 Singer, David A. 2 1998 Flat curves. Zbl 1388.14093 Langer, Joel C.; Singer, David A. 2 2017 Subdividing the trefoil by origami. Zbl 1311.51013 Langer, Joel C.; Singer, David A. 2 2013 The lemniscatic chessboard. Zbl 1284.33015 Langer, Joel C.; Singer, David A. 2 2011 Isometries of the plane. Zbl 0844.51013 Singer, David A. 1 1995 Geodesic fields and construction of nontriangulable cut loci. Zbl 0332.53027 Gluck, Herman; Singer, David 1 1976 Normal forms in Lorentzian spaces. Zbl 0867.15007 Singer, David A.; Steinberg, Daniel H. 1 1994 Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022 Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. 1 2008 Flat curves. Zbl 1388.14093 Langer, Joel C.; Singer, David A. 2 2017 The trefoil. Zbl 1312.14084 Langer, Joel C.; Singer, David A. 4 2014 Numerical approximation of the field of values of the inverse of a large matrix. Zbl 1299.65063 Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. 4 2013 Subdividing the trefoil by origami. Zbl 1311.51013 Langer, Joel C.; Singer, David A. 2 2013 The lemniscatic chessboard. Zbl 1284.33015 Langer, Joel C.; Singer, David A. 2 2011 Reflections on the lemniscate of Bernoulli: the forty-eight faces of a mathematical gem. Zbl 1227.14033 Langer, Joel C.; Singer, David A. 6 2010 When is a curve an octahedron? Zbl 1206.53006 Langer, Joel C.; Singer, David A. 5 2010 Eigenvalue inclusion regions from inverses of shifted matrices. Zbl 1176.15022 Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. 1 2008 Foci and foliations of real algebraic curves. Zbl 1150.14005 Langer, Joel C.; Singer, David A. 10 2007 The location of critical points of finite Blaschke products. Zbl 1093.53019 Singer, David A. 7 2006 A new flow on starlike curves in \(\mathbb{R}^3\). Zbl 1007.53007 Huang, Rongpei; Singer, David A. 3 2002 Diffeomorphisms of the circle and hyperbolic curvature. Zbl 1039.53020 Singer, David A. 4 2001 Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001 Ivey, Thomas A.; Singer, David A. 27 1999 Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres. Zbl 0965.53040 Barros, Manuel; Garay, Oscar J.; Singer, David A. 16 1999 Curves whose curvature depends on distance from the origin. Zbl 1037.53500 Singer, David A. 7 1999 Geometry: plane and fancy. Zbl 0893.51002 Singer, David A. 2 1998 Lagrangian aspects of the Kirchhoff elastic rod. Zbl 0859.73040 Langer, Joel; Singer, David A. 65 1996 Isometries of the plane. Zbl 0844.51013 Singer, David A. 1 1995 Liouville integrability of geometric variational problems. Zbl 0819.58017 Langer, J.; Singer, D. 10 1994 Normal forms in Lorentzian spaces. Zbl 0867.15007 Singer, David A.; Steinberg, Daniel H. 1 1994 A new structural framework for parity equation-based failure detection and isolation. Zbl 0701.90039 Gertler, Janos; Singer, David 20 1990 Curve-straightening in Riemannian manifolds. Zbl 0653.53032 Langer, Joel; Singer, David A. 30 1987 Curve straightening and a minimax argument for closed elastic curves. Zbl 0561.53004 Langer, Joel; Singer, David A. 42 1985 The total squared curvature of closed curves. Zbl 0554.53013 Langer, Joel; Singer, David A. 154 1984 Knotted elastic curves in \({\mathbb{R}}^ 3\). Zbl 0595.53001 Langer, Joel; Singer, David A. 66 1984 Curves in the hyperbolic plane and mean curvature of tori in 3-space. Zbl 0554.53014 Langer, Joel; Singer, David 38 1984 Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one. Zbl 0508.58010 Langer, Joel; Singer, David A. 3 1982 Investigations in the metric theory of surfaces. Collection of articles. (Issledovaniya po metricheskoj teorii poverkhnostej. Sbornik statej). Transl. from the English and from the French by I.Kh.Sabitov. Zbl 0483.53001 2 1980 Scattering of geodesic fields. II. Zbl 0436.53047 Gluck, Herman; Singer, David A. 8 1979 Stable orbits and bifurcation of maps of the interval. Zbl 0391.58014 Singer, David 189 1978 Scattering of geodesic fields, I. Zbl 0399.58011 Gluck, Herman; Singer, David 27 1978 Deformations of geodesic fields. Zbl 0334.53047 Gluck, Herman; Singer, David 4 1976 The existence of nontriangulable cut loci. Zbl 0338.53045 Singer, David; Gluck, Herman 3 1976 Geodesic fields and construction of nontriangulable cut loci. Zbl 0332.53027 Gluck, Herman; Singer, David 1 1976 The converse to the Gauss-Bonnet theorem in PL. Zbl 0294.57014 Gluck, Herman; Krigelman, Kenneth; Singer, David 6 1974 Preassigning curvature of polyhedra homeomorphic to the two-sphere. Zbl 0291.57009 Singer, David 3 1974 all cited Publications top 5 cited Publications all top 5 Cited by 681 Authors 23 Garay, Oscar Jesus 22 Pámpano, Álvaro 20 Barros, Manuel 13 Arroyo, Josu J. 12 Cánovas, Jose S. 12 Langer, Joel C. 11 Singer, David A. 10 Ferrández, Angel 10 Liz, Eduardo 9 El-Morshedy, Hassan A. 9 Franco Leis, Daniel 9 Lucas, Pascual 9 Tanaka, Minoru 8 Castro, Ildefonso 8 Kawakubo, Satoshi 8 Ruiz-Herrera, Alfonso 7 Braverman, Elena 7 Dall’Acqua, Anna 7 Munoz Guillermo, Maria 7 Nusse, Helena Engelina 6 Fernandez Andres, Manuel 6 Grunau, Hans-Christoph 6 Itoh, Jin-ichi 6 Lin, Chun-Chi 6 Sinclair, Robert 5 Cabrerizo, Jose Luis 5 Castro-Infantes, Ildefonso 5 de la Llave, Rafael 5 Huang, Rongpei 5 Jurdjevic, Velimir 5 Linnér, Anders 5 Mencía, José J. 5 Musso, Emilio 5 Pinkall, Ulrich 5 Pozzi, Paola 5 Reiter, Philipp 5 Rodkina, Alexandra 5 Segura, Juan 5 Wheeler, Glen E. 4 Boer, Martin P. 4 Castro-Infantes, Jesús 4 Cuomo, Massimo 4 de Melo, Welington 4 Greco, Leopoldo 4 Hebda, James J. 4 Holmes, Philip J. 4 Kooi, Bob W. 4 López Camino, Rafael 4 Meroño Bayo, Miguel Angel 4 Okabe, Shinya 4 Palmer, Bennett 4 Perán, Juan 4 Perevaryukha, Andreĭ Yur’evich 4 Pluda, Alessandra 4 Schwetlick, Hartmut R. 4 Tresser, Charles 4 Tükel, Gözde Özkan 4 Vîlcu, Costin 4 von der Mosel, Heiko 3 Bartels, Sören 3 Bonnard, Bernard 3 Caillau, Jean-Baptiste 3 Clauvelin, Nicolas 3 Deckelnick, Klaus 3 Eckmann, Jean-Pierre 3 Eichmann, Sascha 3 Fried, Eliot 3 Garcke, Harald 3 Gebhardt, Cristian Guillermo 3 Gluck, Herman 3 Gorkin, Pamela B. 3 Gruber, Anthony 3 Ivey, Thomas A. 3 Jiménez López, Víctor 3 Lyubich, Mikhail 3 Marheineke, Nicole 3 Misiurewicz, Michał 3 Novaga, Matteo 3 Oliveira, Henrique M. 3 Perline, Ron 3 Romero, Ignacio 3 Saker, Samir H. 3 Spener, Adrian 3 Tabachnikov, Serge L. 3 Toda, Magdalena 3 Trofimchuk, Sergei I. 3 Turhan, Tunahan 3 Viana, Marcelo 3 Wang, Peng 3 Wegener, Raimund 3 Yücesan, Ahmet 2 Akamatsu, Toyohiro 2 Arroja Neves, André 2 Audoly, Basile 2 Basseville, Michèle 2 Blatt, Simon 2 Bor, Gil 2 Buchner, Michael A. 2 Collet, Pierre 2 Dahhou, Boutaieb ...and 581 more Authors all top 5 Cited in 218 Serials 21 Journal of Mathematical Analysis and Applications 18 Journal of Geometry and Physics 12 Communications in Mathematical Physics 12 Transactions of the American Mathematical Society 12 Physica D 10 Journal of Difference Equations and Applications 9 Tôhoku Mathematical Journal. Second Series 9 Journal of Elasticity 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Mathematical Physics 7 Chaos, Solitons and Fractals 7 Proceedings of the American Mathematical Society 7 Differential Geometry and its Applications 7 Journal of Nonlinear Science 7 Calculus of Variations and Partial Differential Equations 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Differential Equations 6 Mathematische Annalen 6 Ergodic Theory and Dynamical Systems 5 Journal of Mathematical Biology 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Inventiones Mathematicae 5 Mathematische Zeitschrift 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Turkish Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 4 Archive for Rational Mechanics and Analysis 4 International Journal of Control 4 Journal of Statistical Physics 4 Rocky Mountain Journal of Mathematics 4 Publications Mathématiques 4 Journal of the Mathematical Society of Japan 4 Results in Mathematics 4 Annals of Global Analysis and Geometry 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 The Journal of Geometric Analysis 4 Journal of Dynamics and Differential Equations 4 Chaos 4 Nonlinear Analysis. Real World Applications 4 Milan Journal of Mathematics 4 Mediterranean Journal of Mathematics 4 Advances in Calculus of Variations 4 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Systems Science 3 Journal of Computational Physics 3 Mathematical Biosciences 3 Nonlinearity 3 Applied Mathematics and Computation 3 Automatica 3 Journal of Geometry 3 Manuscripta Mathematica 3 Numerische Mathematik 3 Systems & Control Letters 3 Journal of Economic Dynamics & Control 3 Linear Algebra and its Applications 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Nonlinear Dynamics 3 Conformal Geometry and Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Bulletin of the American Mathematical Society 3 Journal of Physics A: Mathematical and Theoretical 3 Advances in Mathematical Physics 3 Geometric Flows 2 Modern Physics Letters A 2 Acta Mechanica 2 American Mathematical Monthly 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of the Franklin Institute 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Methods in the Applied Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of Mathematical Biology 2 Acta Mathematica 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Glasgow Mathematical Journal 2 Journal of Economic Theory 2 Mathematics and Computers in Simulation 2 Theoretical Population Biology 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Discrete & Computational Geometry 2 Computational Mechanics 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 Applied Mathematical Modelling 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Journal of Knot Theory and its Ramifications 2 Experimental Mathematics 2 Russian Journal of Mathematical Physics 2 European Journal of Control 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Lobachevskii Journal of Mathematics ...and 118 more Serials all top 5 Cited in 51 Fields 230 Differential geometry (53-XX) 168 Dynamical systems and ergodic theory (37-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 71 Mechanics of deformable solids (74-XX) 58 Partial differential equations (35-XX) 58 Biology and other natural sciences (92-XX) 54 Global analysis, analysis on manifolds (58-XX) 41 Ordinary differential equations (34-XX) 41 Difference and functional equations (39-XX) 33 Systems theory; control (93-XX) 27 Numerical analysis (65-XX) 20 Manifolds and cell complexes (57-XX) 18 Functions of a complex variable (30-XX) 16 Mechanics of particles and systems (70-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Real functions (26-XX) 12 Geometry (51-XX) 11 Algebraic geometry (14-XX) 11 Fluid mechanics (76-XX) 9 Special functions (33-XX) 9 Convex and discrete geometry (52-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Measure and integration (28-XX) 8 Operator theory (47-XX) 8 Relativity and gravitational theory (83-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 General topology (54-XX) 7 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Mathematics education (97-XX) Citations by Year