LEWIS MOLYNEUX
Postgraduate Reseacher
Royal Holloway, University of London
Royal Holloway, University of London
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.
Preprints and Publications
The Sigma Invariants for the Golden Mean Thompson Group (Joint with Brita Nucinkis and Yuri Santos Rego)
September 2023
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.
Talks Given
Homological aspects of TDLC Groups
November 2023
Oberwolfach, Germany
Finiteness properties of Bieri-Strebel Groups
Groups of Thompson and their Relatives
September 2023
Magdeburg, Germany
Finiteness properties of Bieri-Strebel Groups
Functor Categories of Groups - Regional Meeting
April 2023
Lancaster, UK
BNSR Invariants and Finite Index