67 citations · 103 across the 16 of their papers we have counts for
4 papers · 1 filter
Algebraically hyperbolic groups
Giles Gardam, Dawid Kielak, Alan D. Logan
We initiate the study of torsion-free algebraically hyperbolic groups; these groups generalise torsion-free hyperbolic groups and are intricately related to groups with no Baumslag…
Target-wavelength-trimmed second harmonic generation with gallium phosphide-on-nitride ring resonators
Lillian Thiel, Alan D. Logan, Srivatsa Chakravarthi +4
We demonstrate post-fabrication target-wavelength trimming with a gallium phosphide on silicon nitride integrated photonic platform using controlled electron-beam exposure of hydro…
Variations on the Post Correspondence Problem for free groups
Laura Ciobanu, Alan D. Logan
The Post Correspondence Problem is a classical decision problem about equalisers of free monoid homomorphisms. We prove connections between several variations of this classical pro…
JSJ decompositions and polytopes for two-generator one-relator groups
Giles Gardam, Dawid Kielak, Alan D. Logan
We provide a direct connection between the Z_{max} (or essential) JSJ decomposition and the Friedl--Tillmann polytope of a hyperbolic two-generator one-relator group with abelianis…