David Singerman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Hecke-Farey coordinates for Bring's curve that gives Bring's surface	2024	Doha A. Kattan David Singerman
+	Hecke-Farey coordinates for Bring's surface	2024	Doha A. Kattan David Singerman
+	The engaging symmetry of Riemann surfaces: A historical perspective	2022	Sean A Broughton Gareth A. Jones David Singerman
+	Universal 𝑞-gonal tessellations and their Petrie paths	2022	Doha A. Kattan David Singerman
+ PDF Chat	From Farey fractions to the Klein quartic and beyond	2021	Ioannis Ivrissimtzis David Singerman James Strudwick
+	The diameter of some Hecke-Farey maps	2021	Doha A. Kattan David Singerman
+	The Farey maps modulo n	2019	David Singerman James Strudwick
+	From Farey fractions to the Klein quartic and beyond	2019	Ioannis Ivrissimtzis David Singerman James Strudwick
+	Patterns on Symmetric Riemann Surfaces	2019	Adnan Melekoğlu David Singerman
+	From Farey fractions to the Klein quartic and beyond	2019	Ioannis Ivrissimtzis David Singerman James Strudwick
+	The Farey Maps Modulo N	2018	David Singerman James Strudwick
+	The Farey Maps Modulo N	2018	David Singerman James Strudwick
+ PDF Chat	Petrie polygons, Fibonacci sequences and Farey maps	2016	David Singerman James Strudwick
+	Triangle Groups and Maps	2016	David Singerman
+ PDF Chat	Symmetries of quasiplatonic Riemann surfaces	2015	Gareth A. Jones David Singerman Paul Watson
+	The structure of mirrors on regular maps on Platonic surfaces	2015	Adnan Melekoğlu David Singerman
+	The structure of mirrors on Platonic surfaces	2015	Adnan Melekoğlu David Singerman
+	Symmetries of quasiplatonic Riemann surfaces	2014	Gareth A. Jones David Singerman Paul Watson
+	Using Hoare's Theorem to find the signature of a subgroup of an NEC group	2014	David Singerman Paul Watson
+	The remarkable Accola-Maclachlan surfaces	2014	David Singerman
+	Symmetries of quasiplatonic Riemann surfaces	2014	Gareth A. Jones David Singerman Paul D. Watson
+ PDF Chat	Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”	2013	Matthew G. Brin Gareth A. Jones David Singerman
+	The geometry behind Galois’ final theorem	2012	Pla N David Singerman
+ PDF Chat	DOUBLES OF KLEIN SURFACES	2012	Antonio F. Costa Wendy Hall David Singerman
+ PDF Chat	Transitivity on Weierstrass points	2012	Zoë Laing David Singerman
+	Transitivity on Weierstrass points	2010	Zoë Laing David Singerman
+	The signature of the normalizes of Γ<sub>0</sub>(<i>N</i>)	2010	Mehmet Akbaş David Singerman
+	Transitivity on Weierstrass points	2010	Zoë Laing David Singerman
+ PDF Chat	Reflections of regular maps and Riemann surfaces	2008	Adnan Melekoğlu David Singerman
+ PDF Chat	Cayley graphs, Cori hypermaps, and dessins d'enfants	2008	David Singerman Jürgen Wolfart
+	From Biplanes to the Klein quartic and the Buckyball	2008	P. Martı́n David Singerman Bj Uk
+ PDF Chat	REAL BELYI THEORY	2007	Bernhard Köck David Singerman
+	Real Belyi theory	2006	Bernhard Köck David Singerman
+	Real Belyi theory	2006	Bernhard Köck David Singerman
+	Regular maps and principal congruence subgroups of Hecke groups	2004	Ioannis Ivrissimtzis David Singerman
+	The Riemann Surface of a Uniform Dessin	2003	David Singerman Robert I. Syddall
+	UNICELLULAR DESSINS AND A UNIQUENESS THEOREM FOR KLEIN'S RIEMANN SURFACE OF GENUS 3	2001	David Singerman
+	CHARACTERS AND AUTOMORPHISM GROUPS OF COMPACT RIEMANN SURFACES (London Mathematical Society Lecture Note Series 280) <i>By</i> T<scp>HOMAS</scp> B<scp>REUER</scp>: 199 pp., £24.95 (LMS members price £18.71), <scp>ISBN</scp> 0-521-79809-4 (Cambridge University Press, 2000).	2001	David Singerman
+	Riemann surfaces, Belyi functions and hypermaps	2001	David Singerman
+	Riemann surfaces, Belyi functions and hypermaps	2001	David Singerman
+	Superficies de Riemann y cristalografía	2000	David Singerman
+	Geometric structures on toroidal maps and elliptic curves	2000	David Singerman Robert I. Syddall
+ PDF Chat	On the fixed-point set of automorphisms of non-orientable surfaces without boundary	1998	Milagros Izquierdo David Singerman
+	Normal subgroups of Hecke groups and regular maps	1998	İsmail Naci Cangül David Singerman
+	PAIRS OF SYMMETRIES OF RIEMANN SURFACES	1998	Milagros Izquierdo David Singerman
+	On the fixed-point set of automorphisms of non-orientable surfaces without boundary	1998	Milagros Izquierdo David Singerman
+	Belyi Uniformization of Elliptic Curves	1997	David Singerman Robert I. Syddall
+	None	1997	David Singerman Paul Watson
+ PDF Chat	Non-maximal cyclic group actions on compact Riemann surface	1997	David Singerman Paul Watson
+	Hyperelliptic maps and surfaces	1997	David Singerman
+	Belyi Functions, Hypermaps and Galois Groups	1996	Gareth A. Jones David Singerman
+	Mirrors on Riemann surfaces	1995	David Singerman
+ PDF Chat	Automorphism groups of complex doubles of Klein surfaces	1994	E. Bujalance Antonio F. Costa Grzegorz Gromadzki David Singerman
+	Maps, Hypermaps and Triangle Groups	1994	Gareth A. Jones David Singerman
+	Hypermaps on Surfaces with Boundary	1994	Milagros Izquierdo David Singerman
+ PDF Chat	On the Number of Real Curves Associated to a Complex Algebraic Curve	1994	E. Bujalance Grzegorz Gromadzki David Singerman
+ PDF Chat	On the number of real curves associated to a complex algebraic curve	1994	E. Bujalance Grzegorz Gromadski David Singerman
+	Application of Hoare's theorem to symmetries of Riemann surfaces.	1993	E. Bujalance Antonio F. Costa David Singerman
+	Involutions of compact Klein surfaces	1992	E. Bujalance Antonio F. Costa S. M. Natanzon David Singerman
+	Symmetries of modular surfaces	1992	Mustafa İlhan Akbaş David Singerman
+	The modular group and generalized Farey graphs	1991	Gareth A. Jones David Singerman Keith R. Wicks
+ PDF Chat	The normalizer of Γ<sub>0</sub>(<i>N</i>) in PSL(2, ℝ)	1990	Mehmet Akbaş David Singerman
+	CLASSICAL TESSELLATIONS AND THREE-MANIFOLDS	1989	David Singerman
+	Regular Hypermaps	1988	David Corn David Singerman
+ PDF Chat	Universal Tessellations	1988	David Singerman
+	Elliptic functions	1987	Gareth A. Jones David Singerman
+	Meromorphic continuation and Riemann surfaces	1987	Gareth A. Jones David Singerman
+	The Riemann sphere	1987	Gareth A. Jones David Singerman
+	Introduction	1987	Gareth A. Jones David Singerman
+	Complex Functions	1987	Gareth A. Jones David Singerman
+	A review of complex variable theory	1987	Gareth A. Jones David Singerman
+ PDF Chat	<i>PSL</i>(2, <i>q</i>) as an image of the extended modular group with applications to group actions on surfaces	1987	David Singerman
+	Complex Functions: An Algebraic and Geometric Viewpoint	1987	Gareth A. Jones David Singerman
+	Klein's Riemann Surface of Genus 3 and Regular Imbeddings of Finite Projective Planes	1986	David Singerman
+	The Symmetry Type of a Riemann Surface	1985	E. Bujalance David Singerman
+ PDF Chat	Orientable and non-orientable Klein surfaces with maximal symmetry	1985	David Singerman
+	FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY	1985	Robin Bryant David Singerman
+	The orientability of subgroups of plane groups	1982	A. H. M. Hoare David Singerman
+	THE REAL ANALYTIC THEORY OF TEICHMÜLLER SPACE (Lecture Notes in Mathematics, 820)	1982	David Singerman
+ PDF Chat	Symmetries and pseudo-symmetries of hyperelliptic surfaces	1980	David Singerman
+	Automorphisms of Maps, Permutation Groups and Riemann Surfaces	1976	David Singerman
+	Spaces of Subgroups and Teichmüller Space	1975	A. M. Macbeath David Singerman
+	On the structure of non-Euclidean crystallographic groups	1974	David Singerman
+	Symmetries of Riemann surfaces with large automorphism group	1974	David Singerman
+	Finitely Maximal Fuchsian Groups	1972	David Singerman
+ PDF Chat	Automorphisms of compact non-orientable Riemann surfaces	1971	David Singerman
+	Subgroups of Fuchsian Groups and Finite Permutation Groups	1970	David Singerman

Common Coauthors

Coauthor	Papers Together
Gareth A. Jones	14
James Strudwick	7
E. Bujalance	6
Paul Watson	5
Doha A. Kattan	4
Adnan Melekoğlu	4
Antonio F. Costa	4
Ioannis Ivrissimtzis	4
Milagros Izquierdo	4
Zoë Laing	3
Robert I. Syddall	3
Bernhard Köck	3
Grzegorz Gromadzki	2
Mehmet Akbaş	2
Pla N	2
Grzegorz Gromadski	1
Jürgen Wolfart	1
Matthew G. Brin	1
İsmail Naci Cangül	1
Sean A Broughton	1
Robin Bryant	1
Gareth A. Jones	1
David Corn	1
Bj Uk	1
Keith R. Wicks	1
Wendy Hall	1
S. M. Natanzon	1
A. M. Macbeath	1
Mustafa İlhan Akbaş	1
A. H. M. Hoare	1
Paul D. Watson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Generators and Relations for Discrete Groups	1972	H. S. M. Coxeter W. O. J. Moser	16
+	Finitely Maximal Fuchsian Groups	1972	David Singerman	16
+	Belyi Functions, Hypermaps and Galois Groups	1996	Gareth A. Jones David Singerman	11
+	A Bound for the Number of Automorphisms of a Compact Riemann Surface	1969	Colin M. MacLachlan	9
+	On the structure of non-Euclidean crystallographic groups	1974	David Singerman	9
+	Subgroups of Fuchsian Groups and Finite Permutation Groups	1970	David Singerman	9
+ PDF Chat	On a Theorem of Hurwitz	1961	A. M. Macbeath	8
+	Symmetries of Riemann surfaces with large automorphism group	1974	David Singerman	8
+	Foundations of the theory of Klein surfaces	1971	Norman L. Alling Newcomb Greenleaf	8
+	Automorphisms of Maps, Permutation Groups and Riemann Surfaces	1976	David Singerman	8
+	CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE	1966	William J. Harvey	8
+	Regular Hypermaps	1988	David Corn David Singerman	7
+ PDF Chat	Foundations of the Theory of Klein Surfaces	1971	Norman L. Alling Newcomb Greenleaf	7
+ PDF Chat	On the number of automorphisms of a closed Riemann surface	1968	Robert D. M. Accola	7
+ PDF Chat	Ueber die Transformation siebenter Ordnung der elliptischen Functionen	1878	Félix Klein	6
+ PDF Chat	Automorphism Groups of Compact Bordered Klein Surfaces	1990	E. Bujalance J. J. Etayo J. M. Gamboa Grzegorz Gromadzki	6
+	On a Curve of Genus 7	1965	A. M. Macbeath	6
+	The orientability of subgroups of plane groups	1982	A. H. M. Hoare David Singerman	6
+	Generators and Relations for Discrete Groups	1980	H. S. M. Coxeter W. O. J. Moser	5
+	The Symmetry Type of a Riemann Surface	1985	E. Bujalance David Singerman	5
+	Determination of all Regular Maps of Small Genus	2001	Marston Conder Peter Dobcsányi	5
+	FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY	1985	Robin Bryant David Singerman	5
+	Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach	1990	E. Bujalance José Javier Etayo Gordejuela J. M. Gamboa Grzegorz Gromadzki	5
+	ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD	1980	G. V. Belyi	5
+ PDF Chat	Universal Tessellations	1988	David Singerman	4
+ PDF Chat	Generators and Relations for Discrete Groups	1965	S. DIVYA MARY DAISE H. S. M. Coxeter W. O. J. Moser	4
+ PDF Chat	Groups related to compact Riemann surfaces	1969	Chih-Han Sah	4
+	A note on Wiman and Accola-Maclachlan surfaces	1991	Ravi S. Kulkarni	4
+	Automorphisms of Compact Riemann Surfaces	1963	Joseph Lewittes	4
+	Klein's Riemann Surface of Genus 3 and Regular Imbeddings of Finite Projective Planes	1986	David Singerman	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	3
+	The Eightfold way: the beauty of Klein's quartic curve	2000	Silvio Levy	3
+ PDF Chat	On the Number of Automorphisms of a Closed Riemann Surface	1968	Robert D. M. Accola	3
+ PDF Chat	Kepler’s small stellated dodecahedron as a Riemann surface	2005	Matthias Weber	3
+	The Regular Maps on a Surface of Genus Three	1959	F. A. Sherk	3
+	SMOOTH COVERINGS OF HYPERELLIPTIC SURFACES	1971	Colin M. MacLachlan	3
+ PDF Chat	On branch loci in Teichmüller space	1971	W. J. Harvey	3
+	Topics in Galois Theory	2011	Jean-Pierre Serre	3
+	<i>Linear Groups with an Exposition of the Galois Field Theory</i>	1959	L. E. Dickson J. Gillis	3
+	Involutions of compact Klein surfaces	1992	E. Bujalance Antonio F. Costa S. M. Natanzon David Singerman	3
+	Belyi's Theorem Revisited	2004	Bernhard Köck	3
+	Principal Congruence Subgroups of the Hecke Groups	2000	Mong-Lung Lang Chong-Hai Lim Ser Peow Tan	3
+	Action of Automorphisms of a Compact Riemann Surface on the First Homology Group	1973	A. M. Macbeath	3
+	Operations on Hypermaps, and Outer Automorphisms	1988	Lynne D. James	3
+	Application of Hoare's theorem to symmetries of Riemann surfaces.	1993	E. Bujalance Antonio F. Costa David Singerman	2
+ PDF Chat	Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi	1994	Paula B. Cohen C. Itzykson Jürgen Wolfart	2
+	Automorphisms and coverings of Klein surfaces	1977	Wendy Hall	2
+	Weierstrass points, branch points, and moduli of riemann surfaces	1959	H. E. Rauch	2
+	Hypermaps on Surfaces with Boundary	1994	Milagros Izquierdo David Singerman	2
+	Über dieWeierstrass-Punkte in den Körpern der elliptischen Modulfunktionen	1951	Bruno Schoeneberg	2