LEWIS MOLYNEUX

Postgraduate Reseacher
Royal Holloway, University of London
Image Credit: Petra Lein, Archives of the Mathematisches Forschungsinstitut Oberwolfach

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.

Arxiv - New York Journal of Mathematics

Talks Given

Groups and Algebras in Bicocca for Young Algebraists 2024 (GABY 2024)
June 2024
Milan, Italy

Cubulation of Algebraic Bieri-Strebel Groups


Modern Methods in Infinite Group Theory
June 2024
Bristol, UK

Reconstructing the Stein-Farley Cube Complex for Algebraic Bieri-Strebel Groups (Poster)


Young Geometric Group Theory XII
April 2024
Bristol, UK

Thompson-Like Groups (Discussion Session)


Bristol Junior Geometry Seminar
February 2024
Bristol, UK

An Introduction to BNSR invariants


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