About
I am a third year PhD student at Royal Holloway, University of London, working under Brita Nucinkis. I hold an MMath from The University of Southampton, with my master's thesis supervised by Bernhard Koeck.Lewis.Molyneux(at)rhul.ac.uk
(plus-four-four)7983595269
Research Interests
My Research interests include finiteness properties and other geometric properties of infinite groups, including Thompson and Bieri-Strebel groups, as well as TDLC groups such as Neretin's group. I am particularly interested in methods of calculating the BNSR Invariant.
We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group Fτ. To do so we establish conditions under which the Sigma invariants coincide with those of a subgroup of finite index, addressing a problem posed by Strebel.
Cubulation of Algebraic Bieri-Strebel Groups
Reconstructing the Stein-Farley Cube Complex for Algebraic Bieri-Strebel Groups (Poster)
Finiteness properties of Bieri-Strebel Groups
Finiteness properties of Bieri-Strebel Groups
BNSR Invariants and Finite Index