Mark Sheingorn

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All published works

Action	Title	Year	Authors
+	Trajectories on Reimann Surfaces	2018	Mark Sheingorn
+	Continued Fractions and Congruence Subgroup Geodesics	2017	Mark Sheingorn
+	Continued Fractions and Congruence Subgroup Geodesics	2017	Mark Sheingorn
+	Two algorithms for closed horocycles on the modular surface	2014	Marvin I. Knopp Mark Sheingorn
+	Hausdorff dimension of the set of real numbers of Lagrange value three	2012	Thomas Schmidt Mark Sheingorn
+	Hausdorff dimension of the set of real numbers of Lagrange value three	2012	Thomas Schmidt Mark Sheingorn
+	Individual Closed Horocyclic Orbits on the Modular Surface	2011	Marvin I. Knopp Mark Sheingorn
+	Individual Horocyclic Orbits on $H \backslash \Gamma(1)$, Closed and Otherwise	2010	Marvin I. Knopp Mark Sheingorn
+	Horocyclic Orbits on $\Gamma(1)\frontslash\mathcal{H}$, \ Closed and Otherwise	2010	Marvin I. Knopp Mark Sheingorn
+	Individual Horocyclic Orbits on $H \backslash Γ(1)$, Closed and Otherwise	2010	Marvin I. Knopp Mark Sheingorn
+	Horocyclic Orbits on $Γ(1)\frontslash\mathcal{H}$, \ Closed and Otherwise	2010	Marvin I. Knopp Mark Sheingorn
+ PDF Chat	McShane’s identity, using elliptic elements	2008	Thomas A. Schmidt Mark Sheingorn
+	McShane's identity, using elliptic elements	2008	Thomas A. Schmidt Mark Sheingorn
+	LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$: HEIGHT FORMULAS AND EXAMPLES	2007	Thomas Schmidt Mark Sheingorn
+	CLASSIFYING LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$	2007	Thomas A. Schmidt Mark Sheingorn
+	LOW HEIGHT GEODESICS AND THE MARKOFF SPECTRUM	2004	Thomas A. Schmidt Mark Sheingorn
+	Low height geodesics and the Markoff spectrum	2004	Thomas Schmidt Mark Sheingorn
+ PDF Chat	Parametrizing simple closed geodesy on Γ<sup>3</sup>\ℋ	2003	Thomas Schmidt Mark Sheingorn
+	Geodesics on Riemann Surfaces with Ramification Points of Order Greater than Two	2001	Mark Sheingorn
+ PDF Chat	Riemann surfaces have Hall rays at each cusp	1997	Thomas Schmidt Mark Sheingorn
+	None	1997	Thomas Schmidt Mark Sheingorn
+ PDF Chat	On Dirichlet series and Hecke triangle groups of infinite volume	1996	Marvin I. Knopp Mark Sheingorn
+	Length spectra of the Hecke triangle groups	1995	Thomas A. Schmidt Mark Sheingorn
+	On the infinite volume Hecke surfaces	1995	Thomas A. Schmidt Mark Sheingorn
+ PDF Chat	The √p Riemann surface	1993	Mark Sheingorn
+	A Tribute to Emil Grosswald: Number Theory and Related Analysis	1993	Marvin I. Knopp Mark Sheingorn
+	Low height Hecke triangle group geodesics	1993	Mark Sheingorn
+	Effective Lower Bounds for the Norm of the Poincare Θ-Operator	1991	Mark Sheingorn
+ PDF Chat	Effective lower bounds for the norm of the Poincaré Θ-operator	1991	Mark Sheingorn
+	Hyperbolic reflections on pell's equation	1989	Mark Sheingorn
+	Rational solutions of E~=l aix~ = dXIX2Xa and simple closed geodesics on Fricke surfaces	1988	Mark Sheingorn
+	Rational solutions of $$\Sigma _{i = 1}^3{a_i}x_i^2 = d{x_1}{x_2}{x_3} $$ and simple closed geodesics on Fricke surfaces	1988	Mark Sheingorn
+	Characterization of simple closed geodesics on Fricke surfaces	1985	Mark Sheingorn
+	Exponential sums connected with Ramanujan's function τ( <i>n</i> )	1982	L. Alayne Parson Mark Sheingorn
+	Bounding the norm of the Poincaré θ-operator	1981	L. Alayne Parson Mark Sheingorn
+	Transitivity for the modular group	1980	Mark Sheingorn
+ PDF Chat	Boundary behavior of automorphic forms and transitivity for the modular group	1980	Mark Sheingorn
+ PDF Chat	Corrigendum to “Continuous solutions of a homogenous functional equation”	1978	Morris Newman Mark Sheingorn
+	Characterization of Fuchsian Groups Whose Integrable Forms are Bounded	1977	Douglas Niebur Mark Sheingorn
+	Fields with large Kronecker constants	1977	T. Callahan Morris Newman Mark Sheingorn
+	Continuous solutions of a homogeneous functional equation	1975	Morris Newman Mark Sheingorn
+	POLYNOMIAL APPROXIMATION IN THE BERS SPACES	1974	Thomas A. Metzger Mark Sheingorn
+	Poincare Series of Polynomials Bounded Away from Zero on a Fundamental Region	1973	Mark Sheingorn

Common Coauthors

Coauthor	Papers Together
Marvin I. Knopp	8
Thomas Schmidt	7
Thomas A. Schmidt	6
Morris Newman	3
L. Alayne Parson	2
Thomas A. Metzger	1
T. Callahan	1
Douglas Niebur	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Characterization of simple closed geodesics on Fricke surfaces	1985	Mark Sheingorn	13
+ PDF Chat	Diophantine approximation on hyperbolic Riemann surfaces	1986	Andrew Haas	11
+ PDF Chat	Closed geodesics on a Riemann surface with application to the Markov spectrum	1986	Alan F. Beardon Joseph Lehner M. Sheingorn	9
+	Minimum of quadratic forms with respect to Fuchsian groups. II.	1977	Asmus L. Schmidt	7
+	Diophantine approximation on hyperbolic orbifolds	1988	Andrew Haas	6
+ PDF Chat	Parametrizing simple closed geodesy on Γ<sup>3</sup>\ℋ	2003	Thomas Schmidt Mark Sheingorn	5
+	Approach to Markoff's Minimal Forms Through Modular Functions	1955	Harvey Cohn	5
+	Simple geodesics and a series constant over Teichmuller space	1998	Greg McShane	5
+	Modular Forms and Functions	1977	R. A. Rankin	5
+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner	5
+	The Markoff and Lagrange Spectra	1989	Thomas W. Cusick Mary Flahive	5
+ PDF Chat	The Geometry of Discrete Groups	1983	Alan F. Beardon	4
+ PDF Chat	A Geometrical Proof of a Theorem of Hurwitz	1916	Lester R. Ford	4
+	The Markov Spectra for Triangle Groups	1997	L. Ya. Vulakh	4
+	The Hurwitz Constant and Diophantine Approximation on Hecke Groups	1986	Andrew Haas Caroline Series	3
+	Transitivity properties of the horocyclic and geodesic flows on moduli space	1981	Howard Masur	3
+	Über eine spezielle Klasse reeller periodischer Funktionen	1915	Celestyn Burstin	3
+	Topics in number theory	1956	W. J. LeVeque	3
+	On the Kähler form of the moduli space of once punctured tori	1983	Scott A. Wolpert	3
+	Hyperbolic reflections on pell's equation	1989	Mark Sheingorn	3
+	Ergodic theory, symbolic dynamics, and hyperbolic spaces	1991	T. Bedford Mark Keane Caroline Series	3
+	NUMBER THEORY WITH AN EMPHASIS ON THE MARKOFF SPECTRUM	1993	TD Wooley Trevor D. Wooley	3
+	Geodesics on modular surfaces and continued fractions	1982	Richard Moeckel	3
+	Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series	1981	Peter Sarnak	3
+ PDF Chat	Boundary behavior of automorphic forms and transitivity for the modular group	1980	Mark Sheingorn	3
+	Simple geodesics on a punctured surface	2006	Chaim Goodman-Strauss Yo’av Rieck	2
+	A class of continued fractions associated with certain properly discontinuous groups	1954	David W. Rosen	2
+	Weil-Petersson volumes and intersection theory on the moduli space of curves	2006	Maryam Mirzakhani	2
+	Arithmetic hyperbolic surface bundles	1995	Β. H. Bowditch Colin M. MacLachlan Alan W. Reid	2
+	Number Theory with an Emphasis on the Markoff Spectrum	2017	Andrew D. Pollington William Moran	2
+ PDF Chat	Closed curves and geodesics with two self-intersections on the Punctured torus	1998	David J. Crisp Susan Dziadosz Dennis J. Garity Thomas R. Insel Thomas Schmidt Peter Wiles	2
+	On Discontinuous Groups Operating on the Product of the Upper Half Planes	1963	Hideo Shimizu	2
+	On lifts of extremal quasiconformal mappings	1977	Kurt Strebel	2
+ PDF Chat	Sur les formes quadratiques binaires ind�finies	1880	A. Markoff	2
+	WEIERSTRASS POINTS AND SIMPLE GEODESICS	2004	Greg McShane	2
+ PDF Chat	The Class-Number of Real Quadratic Fields	1951	N. C. Ankeny Emil Artin S. Chowla	2
+ PDF Chat	Generalizations of McShane's identity to hyperbolic cone-surfaces	2006	Ser Peow Tan Yan Loi Wong Ying Zhang	2
+	Geometry of Discrete Groups	2006	Alan F. Beardon	2
+	TWO DOUBLY DEGENERATE GROUPS	1979	Troels Jørgensen Albert Marden	2
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels	2
+	A note on Ramanujan's arithmetical function τ(n)	1929	J. R. Wilton	2
+	The approximation of irrational numbers by fractions with odd or even terms	1940	Raphael M. Robinson	2
+	Nondivergence of horocyclic flows on moduli space	2002	Yair N. Minsky Barak Weiss	2
+ PDF Chat	Riemann surfaces have Hall rays at each cusp	1997	Thomas Schmidt Mark Sheingorn	2
+ PDF Chat	Grenzkreisgruppen und kettenbruchartige Algorithmen	1965	M. Eichler	2
+ PDF Chat	The number of lattice points within a contour and visible from the origin	1994	Douglas Hensley	2
+	LOW HEIGHT GEODESICS ON $\Gamma^3 \backslash \mathcal{H}$: HEIGHT FORMULAS AND EXAMPLES	2007	Thomas Schmidt Mark Sheingorn	2
+ PDF Chat	On a quantitative refinement of the Lagrange spectrum	2002	Edward B. Burger Amanda Folsom Alexander Pekker Rungporn Roengpitya Julia Snyder	2
+ PDF Chat	Growth of the number of simple closed geodesics on hyperbolic surfaces	2008	Maryam Mirzakhani	2
+ PDF Chat	Approximation to real irrationals by certain classes of rational fractions	1940	William T. Scott	2