3 citations · 6 across the 7 of their papers we have counts for
10 papers
Hecke-Farey coordinates for Bring's curve that gives Bring's surface
Doha Kattan, David Singerman
The modular group (which is the Hecke group ) can be used to study triangular maps. Here we use the Hecke group to study the regular map that underlies Bring's surfa…
From Farey fractions to the Klein quartic and beyond
Ioannis Ivrissimtzis, David Singerman, James Strudwick
In his 1878/79 paper "Ueber die transformation siebenter ordnung der elliptischen functionen", Klein produced his famous 14-sided polygon representing the Klein quartic, his Rieman…
The Farey Maps Modulo N
David Singerman, James Strudwick
The Farey map is the universal triangular map whose automorphism group is the classical modular group. We study the quotients of the Farey map by the principal congruence subgroups…
The structure of mirrors on Platonic surfaces
Adnan Melekoğlu, David Singerman
A Platonic surface is a Riemann surface that underlies a regular map and so we can consider its vertices, edge-centres and face-centres. A symmetry (anticonformal involution) of th…
Using Hoare's Theorem to find the signature of a subgroup of an NEC group
David Singerman
We explain how to use Hoare's Theorem to find the signature of a subgroup of an NEC group. We give several examples.
Symmetries of quasiplatonic Riemann surfaces
Gareth A. Jones, David Singerman, Paul D. Watson
We state and prove a corrected version of a theorem of Singerman, which relates the existence of symmetries (anticonformal involutions) of a quasiplatonic Riemann surface $\mathcal…