5 citations · 9 across the 9 of their papers we have counts for
10 papers
Deep Learning of Topological Equivalence Classes
Linden Disney-Hogg, Max Zuev
We demonstrate an application of deep learning to the problem of identifying whether two generating vectors correspond to topologically equivalent finite group actions on Riemann s…
The Parity of Invariant Characteristics
Linden Disney-Hogg
We demonstrate a method to prove that a theta characteristic on Riemann surface invariant under the action of has even parity by considering the repres…
Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces
S. Allen Broughton, Linden Disney-Hogg
Given a finite group acting orientably on a surface of genus , the group acts faithfully on the homology group , preserving the symplectic…
Locations of JNR skyrmions
Josh Cork, Linden Disney-Hogg
We develop and prove new geometric and algebraic characterisations for locations of constituent skyrmions, as well as their signed multiplicity, using Sutcliffe's JNR ansatz. Some…
Dihedrally Symmetric Monopoles and Affine Toda Equations
H. W. Braden, Linden Disney-Hogg
We show that any BPS monopole of charge with rotational spatial dihedral symmetry is gauge equivalent to the Nahm data obtained from affine Toda equations of $C_l^{(1)}…
Orbits of Theta Characteristics
H. W. Braden, Linden Disney-Hogg
The theta characteristics on a Riemann surface are permuted by the induced action of the automorphism group, with the orbit structure being important for the geometry of the curve…
Towards a Classification of Charge-3 Monopoles with Symmetry
H. W. Braden, Linden Disney-Hogg
We classify all possible charge-3 monopole spectral curves with non-trivial automorphism group and within these identify those with elliptic quotients. By focussing on elliptic quo…
Bring's curve: Old and New
H. W. Braden, Linden Disney-Hogg
Bring's curve, the unique Riemann surface of genus-4 with automorphism group , has many exceptional properties. We review, give new proofs of, and extend a number of these inc…
Rigorous numerical integration of algebraic functions
Nils Bruin, Linden Disney-Hogg, Wuqian Effie Gao
We present an algorithm which uses Fujiwara's inequality to bound algebraic functions over ellipses of a certain type, allowing us to concretely implement a rigorous Gauss-Legendre…
An English translation of A. Wiman's "On the algebraic curves of genus , and , which posses unambiguous transformations into themselves"
Linden Disney-Hogg, Andrew Beckett, Isabella Deutsch
This is an English translation of the paper "Ueber die algebraischen Curven von den Geschlechtern , und , welche eindeutigen Transformationen in sich besitzen" by And…