**Mark Sheingorn marksh@alum.dartmouth.org
**

**Individual Closed Horocyclic Orbits on the Modular Surface**, (with Marvin Knopp),`http://arxiv.org/abs/1103.6278`**McShane's Identity, Using Elliptic Elements**, (with Thomas A. Schmidt),*Geometricae Dedicata*, 134 (2008) 75-90.**Classifying Low Height Geodesics on**, (with Thomas A. Schmidt),*Int'l J. of Number Theory*, 3 (2007) 421-438.**Low Height Geodesics on : Explicit Height Formulae, Examples and Local Isolation**, (with Thomas A. Schmidt),*Int'l J. of Number Theory*, 3 (2007) 473-501.**Parametrizing Simple Closed Geodesy on**, (with Thomas A. Schmidt),*Journal of the Australian Math. Soc.*, 74 (2003) 43-60.**Geodesics on Riemann Surfaces with Ramification Points of Order Greater than Two**,*New York Journal of Mathematics*, New York J. Math., 7 (2001), 189-199.**Covering the Hecke Triangle Groups**, (with Thomas A. Schmidt),*Ramanujan Journal*, 1 (1997), 155-163.**Riemann Surfaces Have Hall Rays at Each Cusp**, (with Thomas A. Schmidt),*Ill. J of Math*, 41 (1997), 378-397.**Dirichlet Series and Hecke Triangle Groups of Infinite Volume**, (with Marvin Knopp),*Acta Arithmetica*, LXXVI.3 (1996), 227-244.**Length Spectra of Hecke Triangle Surfaces**, (with Thomas A. Schmidt),*Mathematische Zeit.*, 220 (1995), 369-397.**On Infinite Volume Hecke Triangle Surfaces**, (with Thomas A. Schmidt),*Compositio Math.*, 95 (1995), 247-262.**The Riemann Surface**,*Acta Arithmetica*, 63 (1993), 255-266.-
**Continued Fractions, Congruence Subgroups, and the Hecke Triangle Groups**, in ``Number Theory with an Emphasis on the Markoff Spectrum'', A. Pollington and W. Moran, eds.,*Lecture Notes in Pure and Applied Mathematics*147 (1993), Marcel Dekker, New York. (pp. 239-254) - ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds.,
*Cont. Math.*143 (1993), AMS, Providence, RI. **Low Height Hecke Triangle Group Geodesics**, in ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds.,*Cont. Math.*143 (1993), AMS, Providence, RI. (pp. 545-560)**In Appreciation of Emil Grosswald**, (with David Bressoud and Marvin Knopp), in ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds.,*Cont. Math.*143 (1993), AMS, Providence, RI. (pp. 1-8)-
**Effective Lower Bounds for the Norm of the Poincaré -Operator**,*TAMS*, 325 (1991), 453-463. -
**Hyperbolic Reflections on Pell's Equation**,*J. of Number Theory*, 33 (1989), 267-285. -
**Rational Solutions of and Simple Closed Geodesics on Fricke Surfaces**, in ``Holomorphic Functions and Moduli I''; D. Drasin et al, eds.; MSRI Publ. 10; Springer-Verlag, New York, 1988. (pp. 229-236) -
**Closed Geodesics on a Riemann Surface with Application to the Markov Spectrum**,*TAMS*295(1986), 635-647. (with A. Beardon and J. Lehner) -
**Characterization of Simple Closed Geodesics on Fricke Surfaces**,*Duke Math. J.*52 (1985), 535-545. -
**A Symbolic Dynamics for Geodesics on Punctured Riemann surfaces**,*Math. Ann.*268 (1984), 425-448. (with J. Lehner) -
**Computing Self-intersections of Closed Geodesics on Finite-sheeted Covers of the Modular Surface**,*Math. Comp.*44 (1985), 233-240. (with J. Lehner) -
**Simple Closed Geodesics on Arise from the Markov Spectrum**,*BAMS*11 (1984), 359-362. (with J. Lehner) -
**Exponential Sums Connected with Ramanujan's -Function**,*Mathematika*29 (1982), 270-277. (with L.A. Parson) -
**Trajectories on Riemann Surfaces**, in ``Explicit Solutions of Quantum and Classical Models and Parallel Arithmetical Problems''; D.V. & G.V.Chudnovsky, eds.; Marcel Dekker, New York, 1984. (pp. 379-400.) -
**Bounding the Norm of the Poincaré -Operator**, Lecture Notes in Mathematics # 899, Springer-Verlag, New York, 1981, 422-441. (with L.A. Parson) -
**Transitivity for the Modular Group**,*Proc. Cambridge Phil.Soc.*, 88 (1980), 409-423. -
**Boundary Behavior of Automorphic Forms and Transitivity for the Modular Group**,*Ill. J. of Math.*, 24 (1980), 440-451. -
**Characterization of Fuchsian Groups whose Integrable Forms are Bounded**,*Ann. of Math.*, 106 (1977), 239-258. (with D. Niebur) -
**Fields with Large Kronecker Constant**,*J. of Number Theory*, 9 (1977), 182-186. (with T. Callahan & M.Newman) -
**Continuous Solution of a Homogeneous Functional Equation**,*Æquationes Math.*, 13 (1975), 47-59. (with M. Newman) -
**Variations on Continuity**,*Math. Magazine*, 47 (1974), 41-43. (with R. Bumcrot) -
**Polynomial Approximation in the Bers spaces**, Princeton Annals Surv. 2, 79 (1974), 58-67. (with T. Metzger) -
**Poincare Series Bounded away from Zero in a Fundamental Region**,*Am. J. of Math.*, 95 (1973), 729-749. -
**Characterizations of**,*NBS J. of Res.*, 77B (1973), 85-92.