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Author ID: singerman.david Recent zbMATH articles by "Singerman, David"
Published as: Singerman, David; Singerman, D.
Homepage: https://www.southampton.ac.uk/people/5wyskk/emeritus-professor-david-singerman
External Links: MGP · ResearchGate
Documents Indexed: 65 Publications since 1970, including 1 Book and 2 Additional arXiv Preprints
Co-Authors: 26 Co-Authors with 42 Joint Publications
431 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 1,178 times in 707 Documents Cited by Year
Theory of maps on orientable surfaces. Zbl 0391.05024
Jones, Gareth A.; Singerman, David
170
1978
Finitely maximal Fuchsian groups. Zbl 0251.20052
Singerman, David
126
1972
Complex functions. An algebraic and geometric viewpoint. Zbl 0608.30001
Jones, Gareth A.; Singerman, David
110
1987
Subgroups of Fuchsian groups and finite permutation groups. Zbl 0206.30804
Singerman, D.
87
1970
Belyĭ functions, hypermaps and Galois groups. Zbl 0853.14017
Jones, Gareth; Singerman, David
67
1996
Symmetries of Riemann surfaces with large automorphism group. Zbl 0272.30022
Singerman, David
59
1974
On the structure of non-Euclidean crystallographic groups. Zbl 0284.20053
Singerman, David
54
1974
Foundations of the theory of maps on surfaces with boundary. Zbl 0565.05026
Bryant, Robin P.; Singerman, David
39
1985
Spaces of subgroups and Teichmüller space. Zbl 0314.32012
Macbeath, A. M.; Singerman, D.
36
1975
Automorphisms of compact non-orientable Riemann surfaces. Zbl 0232.30012
Singerman, D.
35
1971
Maps, hypermaps and triangle groups. Zbl 0833.20045
Jones, Gareth; Singerman, David
29
1994
Regular hypermaps. Zbl 0665.57002
Corn, David; Singerman, David
29
1988
The modular group and generalized Farey graphs. Zbl 0728.20040
Jones, G. A.; Singerman, D.; Wicks, K.
29
1991
The symmetry type of a Riemann surface. Zbl 0545.30032
Bujalance, E.; Singerman, D.
22
1985
Normal subgroups of Hecke groups and regular maps. Zbl 0893.20036
Cangül, İ. N.; Singerman, D.
21
1998
The normalizer of \(\Gamma_ 0(N)\) in \(\mathrm{PSL}(2,\mathbb R)\). Zbl 0709.20025
Akbaş, Mehmet; Singerman, David
21
1990
PSL(2,q) as an image of the extended modular group with applications to group actions on surfaces. Zbl 0588.20029
Singerman, David
19
1987
The orientability of subgroups of plane groups. Zbl 0489.20036
Hoare, A. H. M.; Singerman, D.
19
1982
Symmetries and pseudo-symmetries of hyperelliptic surfaces. Zbl 0425.30039
Singerman, David
14
1980
Universal tessellations. Zbl 0658.57004
Singerman, David
14
1988
Application of Hoare’s theorem to symmetries of Riemann surfaces. Zbl 0794.30029
Bujalance, E.; Costa, A. F.; Singerman, D.
13
1993
The signature of the normalizer \(\Gamma_ 0(N)\). Zbl 0813.20055
Akbas, M.; Singerman, D.
12
1992
Involutions of compact Klein surfaces. Zbl 0758.30036
Bujalance, E.; Costa, A. F.; Natanzon, S. M.; Singerman, D.
12
1992
Regular maps and principal congruence subgroups of Hecke groups. Zbl 1075.20022
Ivrissimtzis, Ioannis; Singerman, David
10
2005
The Riemann surface of a uniform dessin. Zbl 1064.14030
Singerman, David; Syddall, Robert I.
10
2003
Real Belyi theory. Zbl 1148.14012
Köck, Bernhard; Singerman, David
9
2007
Automorphisms of maps, permutation groups and Riemann surfaces. Zbl 0322.20001
Singerman, David
9
1976
Riemann surfaces, Belyi functions and hypermaps. Zbl 1015.14015
Singerman, David
8
2001
Automorphism groups of complex doubles of Klein surfaces. Zbl 0810.30035
Bujalance, E.; Costa, A. F.; Gromadzki, G.; Singerman, D.
8
1994
Belyĭ uniformization of elliptic curves. Zbl 0868.14019
Singerman, D.; Syddall, R. I.
7
1997
Klein’s Riemann surface of genus 3 and regular imbeddings of finite projective planes. Zbl 0571.51007
Singerman, David
6
1986
Hypermaps on surfaces with boundary. Zbl 0814.57001
Izquierdo, Milagros; Singerman, David
6
1994
Pairs of symmetries of Riemann surfaces. Zbl 0914.30029
Izquierdo, Milagros; Singerman, David
6
1998
On the number of real curves associated to a complex algebraic curve. Zbl 0820.30025
Bujalance, Emilio; Gromadzki, Grzegorz; Singerman, David
5
1994
Cayley graphs, Cori hypermaps, and dessins d’enfants. Zbl 1175.05068
Singerman, David; Wolfart, Jürgen
5
2008
The remarkable Accola-Maclachlan surfaces. Zbl 1351.30028
Singerman, David
5
2015
Petrie polygons, Fibonacci sequences and Farey maps. Zbl 1347.05046
Singerman, David; Strudwick, James
5
2016
On the fixed-point set of automorphisms of non-orientable surfaces without boundary. Zbl 0913.20019
Izquierdo, M.; Singerman, D.
4
1998
The structure of mirrors on regular maps on platonic surfaces. Zbl 1338.30032
Melekoğlu, Adnan; Singerman, David
4
2016
The Farey maps modulo \(n\). Zbl 1521.11023
Singerman, David; Strudwick, James
4
2020
Weierstrass points on regular maps. Zbl 0891.30024
Singerman, D.; Watson, P. D.
3
1997
Orientable and non-orientable Klein surfaces with maximal symmetry. Zbl 0561.30037
Singerman, David
3
1985
Reflections of regular maps and Riemann surfaces. Zbl 1198.30041
Melekoğlu, Adnan; Singerman, David
3
2008
Unicellular dessins and a uniqueness theorem for Klein’s Riemann surface of genus 3. Zbl 1044.30018
Singerman, David
3
2001
Symmetries of quasiplatonic Riemann surfaces. Zbl 1337.30056
Jones, Gareth; Singerman, David; Watson, Paul
3
2015
Non-maximal cyclic group actions on compact Riemann surfaces. Zbl 0903.20027
Singerman, David; Watson, Paul
2
1997
Maps on surfaces with boundary. Zbl 0555.05033
Singerman, David
2
1983
Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. Zbl 1276.57003
Brin, Matthew G.; Jones, Gareth A.; Singerman, David
2
2013
Geometric structures on toroidal maps and elliptic curves. Zbl 0984.05028
Singerman, David; Syddall, Robert I.
2
2000
The diameter of some Hecke-Farey maps. Zbl 07362866
Kattan, Doha; Singerman, David
2
2021
Hyperelliptic maps and surfaces. Zbl 0958.05035
Singerman, David
1
1997
Mirrors on Riemann surfaces. Zbl 0851.30025
Singerman, David
1
1995
Doubles of Klein surfaces. Zbl 1253.30052
Costa, Antonio F.; Hall, Wendy; Singerman, David
1
2012
Transitivity on Weierstrass points. Zbl 1257.30042
Laing, Zoë; Singerman, David
1
2012
From Farey fractions to the Klein quartic and beyond. Zbl 1476.30146
Ivrissimtzis, Ioannis; Singerman, David; Strudwick, James
1
2021
The diameter of some Hecke-Farey maps. Zbl 07362866
Kattan, Doha; Singerman, David
2
2021
From Farey fractions to the Klein quartic and beyond. Zbl 1476.30146
Ivrissimtzis, Ioannis; Singerman, David; Strudwick, James
1
2021
The Farey maps modulo \(n\). Zbl 1521.11023
Singerman, David; Strudwick, James
4
2020
Petrie polygons, Fibonacci sequences and Farey maps. Zbl 1347.05046
Singerman, David; Strudwick, James
5
2016
The structure of mirrors on regular maps on platonic surfaces. Zbl 1338.30032
Melekoğlu, Adnan; Singerman, David
4
2016
The remarkable Accola-Maclachlan surfaces. Zbl 1351.30028
Singerman, David
5
2015
Symmetries of quasiplatonic Riemann surfaces. Zbl 1337.30056
Jones, Gareth; Singerman, David; Watson, Paul
3
2015
Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. Zbl 1276.57003
Brin, Matthew G.; Jones, Gareth A.; Singerman, David
2
2013
Doubles of Klein surfaces. Zbl 1253.30052
Costa, Antonio F.; Hall, Wendy; Singerman, David
1
2012
Transitivity on Weierstrass points. Zbl 1257.30042
Laing, Zoë; Singerman, David
1
2012
Cayley graphs, Cori hypermaps, and dessins d’enfants. Zbl 1175.05068
Singerman, David; Wolfart, Jürgen
5
2008
Reflections of regular maps and Riemann surfaces. Zbl 1198.30041
Melekoğlu, Adnan; Singerman, David
3
2008
Real Belyi theory. Zbl 1148.14012
Köck, Bernhard; Singerman, David
9
2007
Regular maps and principal congruence subgroups of Hecke groups. Zbl 1075.20022
Ivrissimtzis, Ioannis; Singerman, David
10
2005
The Riemann surface of a uniform dessin. Zbl 1064.14030
Singerman, David; Syddall, Robert I.
10
2003
Riemann surfaces, Belyi functions and hypermaps. Zbl 1015.14015
Singerman, David
8
2001
Unicellular dessins and a uniqueness theorem for Klein’s Riemann surface of genus 3. Zbl 1044.30018
Singerman, David
3
2001
Geometric structures on toroidal maps and elliptic curves. Zbl 0984.05028
Singerman, David; Syddall, Robert I.
2
2000
Normal subgroups of Hecke groups and regular maps. Zbl 0893.20036
Cangül, İ. N.; Singerman, D.
21
1998
Pairs of symmetries of Riemann surfaces. Zbl 0914.30029
Izquierdo, Milagros; Singerman, David
6
1998
On the fixed-point set of automorphisms of non-orientable surfaces without boundary. Zbl 0913.20019
Izquierdo, M.; Singerman, D.
4
1998
Belyĭ uniformization of elliptic curves. Zbl 0868.14019
Singerman, D.; Syddall, R. I.
7
1997
Weierstrass points on regular maps. Zbl 0891.30024
Singerman, D.; Watson, P. D.
3
1997
Non-maximal cyclic group actions on compact Riemann surfaces. Zbl 0903.20027
Singerman, David; Watson, Paul
2
1997
Hyperelliptic maps and surfaces. Zbl 0958.05035
Singerman, David
1
1997
Belyĭ functions, hypermaps and Galois groups. Zbl 0853.14017
Jones, Gareth; Singerman, David
67
1996
Mirrors on Riemann surfaces. Zbl 0851.30025
Singerman, David
1
1995
Maps, hypermaps and triangle groups. Zbl 0833.20045
Jones, Gareth; Singerman, David
29
1994
Automorphism groups of complex doubles of Klein surfaces. Zbl 0810.30035
Bujalance, E.; Costa, A. F.; Gromadzki, G.; Singerman, D.
8
1994
Hypermaps on surfaces with boundary. Zbl 0814.57001
Izquierdo, Milagros; Singerman, David
6
1994
On the number of real curves associated to a complex algebraic curve. Zbl 0820.30025
Bujalance, Emilio; Gromadzki, Grzegorz; Singerman, David
5
1994
Application of Hoare’s theorem to symmetries of Riemann surfaces. Zbl 0794.30029
Bujalance, E.; Costa, A. F.; Singerman, D.
13
1993
The signature of the normalizer \(\Gamma_ 0(N)\). Zbl 0813.20055
Akbas, M.; Singerman, D.
12
1992
Involutions of compact Klein surfaces. Zbl 0758.30036
Bujalance, E.; Costa, A. F.; Natanzon, S. M.; Singerman, D.
12
1992
The modular group and generalized Farey graphs. Zbl 0728.20040
Jones, G. A.; Singerman, D.; Wicks, K.
29
1991
The normalizer of \(\Gamma_ 0(N)\) in \(\mathrm{PSL}(2,\mathbb R)\). Zbl 0709.20025
Akbaş, Mehmet; Singerman, David
21
1990
Regular hypermaps. Zbl 0665.57002
Corn, David; Singerman, David
29
1988
Universal tessellations. Zbl 0658.57004
Singerman, David
14
1988
Complex functions. An algebraic and geometric viewpoint. Zbl 0608.30001
Jones, Gareth A.; Singerman, David
110
1987
PSL(2,q) as an image of the extended modular group with applications to group actions on surfaces. Zbl 0588.20029
Singerman, David
19
1987
Klein’s Riemann surface of genus 3 and regular imbeddings of finite projective planes. Zbl 0571.51007
Singerman, David
6
1986
Foundations of the theory of maps on surfaces with boundary. Zbl 0565.05026
Bryant, Robin P.; Singerman, David
39
1985
The symmetry type of a Riemann surface. Zbl 0545.30032
Bujalance, E.; Singerman, D.
22
1985
Orientable and non-orientable Klein surfaces with maximal symmetry. Zbl 0561.30037
Singerman, David
3
1985
Maps on surfaces with boundary. Zbl 0555.05033
Singerman, David
2
1983
The orientability of subgroups of plane groups. Zbl 0489.20036
Hoare, A. H. M.; Singerman, D.
19
1982
Symmetries and pseudo-symmetries of hyperelliptic surfaces. Zbl 0425.30039
Singerman, David
14
1980
Theory of maps on orientable surfaces. Zbl 0391.05024
Jones, Gareth A.; Singerman, David
170
1978
Automorphisms of maps, permutation groups and Riemann surfaces. Zbl 0322.20001
Singerman, David
9
1976
Spaces of subgroups and Teichmüller space. Zbl 0314.32012
Macbeath, A. M.; Singerman, D.
36
1975
Symmetries of Riemann surfaces with large automorphism group. Zbl 0272.30022
Singerman, David
59
1974
On the structure of non-Euclidean crystallographic groups. Zbl 0284.20053
Singerman, David
54
1974
Finitely maximal Fuchsian groups. Zbl 0251.20052
Singerman, David
126
1972
Automorphisms of compact non-orientable Riemann surfaces. Zbl 0232.30012
Singerman, D.
35
1971
Subgroups of Fuchsian groups and finite permutation groups. Zbl 0206.30804
Singerman, D.
87
1970
all top 5

Cited by 572 Authors

39 Bujalance, Emilio
36 Costa Gonzáles, Antonio Félix
34 Nedela, Roman
33 Jones, Gareth A.
30 Conder, Marston Donald Edward
29 Gromadzki, Grzegorz
27 Širáň, Jozef
21 Hidalgo, Rubén Antonio
21 Izquierdo, Milagros
18 Singerman, David
16 Cirre, Francisco-Javier
16 Etayo Gordejuela, José Javier
15 Breda d’Azevedo, Antonio J.
15 Martinez, Ernesto C.
15 May, Coy L.
15 Sahin, Recep
13 Koruoglu, Ozden
12 Du, Shaofei
12 Güler, Bahadır Özgür
12 Mednykh, Aleksandr Dmitrievich
12 Reyes-Carocca, Sebastián
12 Tyszkowska, Ewa
10 Škoviera, Martin
10 Wootton, Aaron
9 Gamboa Mutuberria, José Manuel
9 Kozłowska-Walania, Ewa
9 Tucker, Thomas W.
8 Raschel, Kilian
7 Broughton, S. Allen
7 Catalano, Domenico A.
7 González-Diez, Gabino
7 Ikikardes, Sebahattin
7 Kwak, Jin Ho
7 Kwon, Young Soo
7 Zimmerman, Jay J.
6 Cangul, Ismail Naci
6 Gross, Jonathan L.
6 Melekoğlu, Adnan
6 Rojas, Anita M.
6 Streit, Manfred
6 Wolfart, Jürgen
5 Bacelo, Adrián
5 Demir, Bilal
5 Fernandes, Maria Elisa
5 Fuertes, Yolanda
5 Gözütok, Nazlı Yazıcı
5 Hu, Kan
5 Karabáš, Ján
5 Lang, Mong Lung
5 Leemans, Dimitri
5 Li, Caiheng
5 Maclachlan, Colin
5 Mansour, Toufik
5 Mushtaq, Qaiser
5 Porto, Ana Maria
5 Szepietowski, Błażej
5 Torres-Teigell, David
5 Walsh, Timothy R. S.
5 Wang, Na’er
5 Wang, Yan
5 Wilson, Stephen E.
5 Yılmaz Özgür, Nihal
4 Bartolini, Gabriel
4 Beşenk, Murat
4 Chaichana, Khuanchanok
4 Değer, Ali Hikmet
4 Feng, Yanquan
4 Girondo, Ernesto
4 Jaipong, Pradthana
4 Jajcay, Robert
4 James, Lynne D.
4 Kader, Serkan
4 Kurkova, Irina A.
4 Pellicer, Daniel
4 Quispe, Saül
4 Şanli, Zeynep
4 Surowski, David B.
3 Akbaş, Mehmet
3 Beardon, Alan Frank
3 Bessis, Laurence
3 Bujalance, José A.
3 Cortázar, Ismael
3 Estrada, Beatriz
3 Ivrissimtzis, Ioannis P.
3 Keskin, Refik
3 Kolpakov, Alexander A.
3 Köroğlu, Tuncay
3 Koss, Lorelei
3 Kra, Irwin
3 Leyton-Alvarez, Maximiliano
3 Natanzon, Sergei M.
3 Ng, Tuen-Wai
3 Petronio, Carlo
3 Potočnik, Primož
3 Praeger, Cheryl Elisabeth
3 Rosenberger, Gerhard
3 Stothers, W. Wilson
3 Tapanyo, Wanchai
3 Weiss, Asia Ivić
3 Ying, Daniel
...and 472 more Authors
all top 5

Cited in 207 Serials

36 Discrete Mathematics
35 Journal of Algebra
34 European Journal of Combinatorics
23 Glasgow Mathematical Journal
21 Journal of Pure and Applied Algebra
16 Transactions of the American Mathematical Society
14 Rocky Mountain Journal of Mathematics
14 Geometriae Dedicata
14 Journal of Combinatorial Theory. Series B
14 Proceedings of the American Mathematical Society
14 Journal of Algebraic Combinatorics
13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
12 Mathematica Slovaca
12 Revista Matemática Iberoamericana
12 Ars Mathematica Contemporanea
10 Archiv der Mathematik
9 Communications in Algebra
9 Manuscripta Mathematica
9 The Art of Discrete and Applied Mathematics
8 Israel Journal of Mathematics
7 Topology and its Applications
7 Turkish Journal of Mathematics
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Bulletin of the London Mathematical Society
6 Mathematische Zeitschrift
6 Journal of Group Theory
6 Acta Mathematica Sinica. English Series
5 Journal of Number Theory
5 Mathematische Annalen
5 Graphs and Combinatorics
5 Discrete & Computational Geometry
5 Journal of Mathematical Sciences (New York)
5 The Electronic Journal of Combinatorics
5 Revista Matemática Complutense
5 Computational Methods and Function Theory
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Combinatorial Theory. Series A
4 Experimental Mathematics
4 The Ramanujan Journal
4 Conformal Geometry and Dynamics
4 Journal of High Energy Physics
4 Mediterranean Journal of Mathematics
4 Albanian Journal of Mathematics
3 Mathematics of Computation
3 Beiträge zur Algebra und Geometrie
3 Advances in Mathematics
3 Applied Mathematics and Computation
3 International Journal of Mathematics and Mathematical Sciences
3 Siberian Mathematical Journal
3 Theoretical Computer Science
3 Advances in Applied Mathematics
3 Bulletin of the Iranian Mathematical Society
3 Journal of Symbolic Computation
3 International Journal of Mathematics
3 Aequationes Mathematicae
3 Bulletin of the American Mathematical Society. New Series
3 Algebra Colloquium
3 Filomat
3 Transformation Groups
3 Honam Mathematical Journal
3 Annals of Combinatorics
3 Journal of the Australian Mathematical Society
3 Journal of Algebra and its Applications
3 European Journal of Mathematics
3 Open Mathematics
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Journal d’Analyse Mathématique
2 Letters in Mathematical Physics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Czechoslovak Mathematical Journal
2 Publications Mathématiques
2 Journal of Graph Theory
2 Journal of Soviet Mathematics
2 Kodai Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Computational Geometry
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Chemistry
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Algebraic & Geometric Topology
2 JP Journal of Geometry and Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 Quantum Information Processing
2 Algebra and Discrete Mathematics
2 Fixed Point Theory and Applications
2 Groups, Geometry, and Dynamics
2 ISRN Geometry
2 Annales Fennici Mathematici
1 American Mathematical Monthly
1 European Journal of Physics
1 Houston Journal of Mathematics
1 International Journal of Engineering Science
...and 107 more Serials
all top 5

Cited in 48 Fields

297 Group theory and generalizations (20-XX)
293 Functions of a complex variable (30-XX)
222 Combinatorics (05-XX)
178 Algebraic geometry (14-XX)
126 Manifolds and cell complexes (57-XX)
104 Number theory (11-XX)
35 Several complex variables and analytic spaces (32-XX)
28 Geometry (51-XX)
26 Convex and discrete geometry (52-XX)
17 Dynamical systems and ergodic theory (37-XX)
15 Quantum theory (81-XX)
12 Special functions (33-XX)
11 Computer science (68-XX)
9 Differential geometry (53-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Topological groups, Lie groups (22-XX)
7 Ordinary differential equations (34-XX)
7 Probability theory and stochastic processes (60-XX)
5 Field theory and polynomials (12-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Associative rings and algebras (16-XX)
5 General topology (54-XX)
4 Commutative algebra (13-XX)
4 Nonassociative rings and algebras (17-XX)
4 Category theory; homological algebra (18-XX)
4 Operator theory (47-XX)
4 Algebraic topology (55-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Mathematical logic and foundations (03-XX)
3 Partial differential equations (35-XX)
3 Difference and functional equations (39-XX)
3 Numerical analysis (65-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Citations by Year