Joel Langer

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All published works

Action	Title	Year	Authors
+	AN ARGUMENT PRINCIPLE FOR REAL FUNCTIONS AND NONHARMONIC SINGULARITIES IN THE PLANE	2024	Joel Langer
+	Hexagonal pencils of cubic plane curves	2024	Joel Langer Jeremy Wall
+ PDF Chat	Orthogonal Families of Bicircular Quartics, Quadratic Differentials, and Edwards Normal Form	2023	Joel Langer David A. Singer
+ PDF Chat	Confocal Families of Hyperbolic Conics via Quadratic Differentials	2023	Joel Langer David A. Singer
+	On foliations of the real projective plane defined by decomposable pencils of cubics	2022	Joel Langer Jeremy Wall
+ PDF Chat	On the geometric mean of a pair of oriented, meromorphic foliations, Part I	2018	Joel Langer David A. Singer
+	Flat Curves	2017	Joel Langer David A. Singer
+	Plotting the polyhedral geometry of a quadratic differential	2017	Joel Langer
+	The Trefoil	2013	Joel Langer David A. Singer
+	On meromorphic parameterizations of real algebraic curves	2011	Joel Langer
+	Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem	2010	Joel Langer David A. Singer
+	When Is a Curve an Octahedron?	2010	Joel Langer David A. Singer
+	Foci and Foliations of Real Algebraic Curves	2007	Joel Langer David A. Singer
+	Rational diffeomorphisms of the circle	2007	Joel Langer
+ PDF Chat	Schwarz Reflection Geometry II: Local and Global Behavior of the Exponential Map	2007	Annalisa Calini Joel Langer
+ PDF Chat	Schwarz reflection geometry I: Continuous iteration of reflection	2003	Annalisa Calini Joel Langer
+	Straightening soliton curves	2001	Joel Langer
+	Schwarz Reflection Geometry I: Continuous Iteration of Reflection	2001	Annalisa Calini Joel Langer
+	Taimanov’s surface evolution and Bäcklund transformations for curves	1999	Óscar J. Garay Joel Langer
+	Recursion in Curve Geometry	1999	Joel Langer
+	Curve motion inducing modified Korteweg-de Vries systems	1998	Joel Langer Ron Perline
+	The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation	1995	Joel Langer Ron Perline
+	The planar filament equation	1995	Joel Langer Ronald Perline
+	Liouville integrability of geometric variational problems	1994	Joel Langer David A. Singer
+ PDF Chat	Local geometric invariants of integrable evolution equations	1994	Joel Langer Ron Perline
+	Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation	1994	Joel Langer Ron Perline
+	The planar filament equation	1994	Joel Langer Ron Perline
+	Poisson geometry of the filament equation	1991	Joel Langer Ron Perline
+	Curve-straightening in Riemannian manifolds	1987	Joel Langer David A. Singer
+ PDF Chat	The normalized curve shortening flow and homothetic solutions	1986	Uwe Abresch Joel Langer
+	A compactness theorem for surfaces withL p -bounded second fundamental form	1985	Joel Langer
+	Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space	1984	Joel Langer David A. Singer
+ PDF Chat	The total squared curvature of closed curves	1984	Joel Langer David A. Singer
+	Diffeomorphisms of the circle and geodesic fields on Riemann surfaces of genus one	1982	Joel Langer David A. Singer

Common Coauthors

Coauthor	Papers Together
David A. Singer	13
Ron Perline	5
Annalisa Calini	3
Jeremy Wall	2
Ronald K. Perline	2
Óscar J. Garay	1
Uwe Abresch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Poisson geometry of the filament equation	1991	Joel Langer Ron Perline	6
+ PDF Chat	The total squared curvature of closed curves	1984	Joel Langer David A. Singer	6
+	Foci and Foliations of Real Algebraic Curves	2007	Joel Langer David A. Singer	5
+	Complex structures adapted to smooth vector fields	2002	Jesús Muciño–Raymundo	5
+ PDF Chat	None	2006	David A. Singer	4
+	Abel's Theorem on the Lemniscate	1981	Michael J. Rosen	4
+	Handbook of Elliptic Integrals for Engineers and Physicists	1954	Paul F. Byrd Morris D. Friedman	4
+	On meromorphic parameterizations of real algebraic curves	2011	Joel Langer	4
+ PDF Chat	Regular curves on Riemannian manifolds	1958	Stephen T. Smale	4
+ PDF Chat	Schwarz reflection geometry I: Continuous iteration of reflection	2003	Annalisa Calini Joel Langer	4
+ PDF Chat	The Schwarz Function and Its Applications	1974	Philip J. Davis	4
+ PDF Chat	The heat equation shrinking convex plane curves	1986	Michael E. Gage Richard S. Hamilton	4
+ PDF Chat	Local geometric invariants of integrable evolution equations	1994	Joel Langer Ron Perline	3
+	Plane Algebraic Curves	1933		3
+	Abel's Theorem on the Lemniscate	1981	Michael Rosen	3
+ PDF Chat	BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION	1998	Annalisa Calini Thomas Ivey	3
+	When Is a Curve an Octahedron?	2010	Joel Langer David A. Singer	3
+	Mathematics and Its History	1989	John Stillwell	3
+	Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space	1984	Joel Langer David A. Singer	3
+	Solitons on moving space curves	1977	G. L. Lamb	3
+	Mathematics and Its History	2002	John Stillwell	3
+	Introduction to Riemann Surfaces.	1959	T. K. Pan George Ś. Springer	3
+	An elementary treatise on cubic and quartic curves	1901	A. B. Basset	3
+	The Schwarz function and its generalization to higher dimensions	1992	Harold S. Shapiro	2
+	Geometric approach to discrete series of unirreps for Vir.	1998	A. A. Kirillov	2
+ PDF Chat	Regular Curves on Riemannian Manifolds	1958	Stephen T. Smale	2
+	None	1997	I. A. Taĭmanov	2
+	Elliptic Functions and Elliptic Integrals	1997	Viktor Prasolov Yuri Solovyev	2
+ PDF Chat	On the geometric mean of a pair of oriented, meromorphic foliations, Part I	2018	Joel Langer David A. Singer	2
+	Flat Curves	2017	Joel Langer David A. Singer	2
+	Persson's list of singular fibers for a rational elliptic surface	1990	Rick Miranda	2
+ PDF Chat	On real and complex cubic curves	2018	Araceli Bonifant John Milnor	2
+ PDF Chat	Conformal Maps and Integrable Hierarchies	2000	P. Wiegmann A. Zabrodin	2
+	Elementary Geometry of Algebraic Curves	1998	C. G. Gibson	2
+	Application of soliton theory to the construction of pseudospherical surfaces in R3	1993	M. Melko Ivan Sterling	2
+ PDF Chat	An elementary geometric characterization of the integrable motions of a curve	1994	Adam Doliwa P. M. Santini	2
+	Conformal Mapping on Riemann Surfaces.	1968	Emil Grosswald Harvey Cohn	2
+	Curve motion inducing modified Korteweg-de Vries systems	1998	Joel Langer Ron Perline	2
+	Integrability and the motion of curves	1992	Kazuaki Nakayama Harvey Segur Miki Wadati	2
+	Curvature on holomorphic plane curves. II	1977	Linda Ness	2
+	There is More than One Way to Frame a Curve	1975	Richard L. Bishop	2
+	Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem	2010	Joel Langer David A. Singer	2
+	Topology and sine-Gordon evolution of constant torsion curves	1999	Annalisa Calini Thomas Ivey	2
+	Geometry of Complex Numbers	1962	Hans Schwerdtfeger	2
+ PDF Chat	Knot Types, Homotopies and Stability of Closed Elastic Rods	1999	Thomas Ivey David A. Singer	2
+	Lie sphere geometry	1992	Thomas E. Cecil	2
+	Die Brennpunktseigenschaften der eigentlichen Ellipse in der ebenen nichteuklidischen hyperbolischen Geometrie	1949	Friedrich Schilling	2
+ PDF Chat	Schwarz Reflection Geometry II: Local and Global Behavior of the Exponential Map	2007	Annalisa Calini Joel Langer	2
+ PDF Chat	Modified Novikov-Veselov equation and differential geometry of surfaces	1997	I. A. Taĭmanov	2
+ PDF Chat	Helices, Hasimoto Surfaces and Bäcklund Transformations	2000	Thomas Ivey	2