This survey is intended to provide an overview of one of the oldest and most celebrated
open problems in combinatorial algebra: the word problem for one-relation monoids. We …

We prove the vanishing of the bounded cohomology of lamplighter groups for a wide range
of coefficients. This implies the same vanishing for a number of groups with self-similarity …

This monograph introduces a framework for genuine proper equivariant stable homotopy
theory for Lie groups. The adjective 'proper'alludes to the feature that equivalences are …

We show that representations of the Thompson group $ F $ in the automorphisms of a
noncommutative probability space yield a large class of bilateral stationary noncommutative …

There is a map, defined and studied by Jones, from Thompson's group $ F $ to knots. Jones
proved that every knot is in the image of this map--that is, that every knot can be seen as the" …

This book brings new mathematical rigour to the ongoing vigorous debate on how to
quantify biological diversity. The question" what is diversity?" has surprising mathematical …

We study a class of generalisations of Thompson's group $ V $ arising naturally as
topological full groups of purely infinite, minimal groupoids. In the process, we show that the …

We discuss a central limit theorem in the framework of the group algebra of the Thompson
group $ F $. We consider the sequence of self-adjoint elements given by $ a_n=\frac {g_n+ …

Thompson’s quandle arXiv:2407.06058v1 [math.GR] 8 Jul 2024 Page 1 Thompson’s quandle
Markus Szymik July 2024 We reveal that Thompson’s group F has a quandle refinement, and …

Although I never met Dov Tamari, neither in person nor electronically, our work had one
important intersection–the associahedra. This Festschrift has given me the opportunity to set …