We study the set of homomorphisms from a fixed finitely generated group G into a family of groups 𝓖 which are ‘uniformly acylindrically hyperbolic’. Our main results reduce this study to sets of ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

Hyperbolic phonon polaritons confined to the subdiffraction limit exhibit encouragingly long lifetimes and group velocities as slow as 0.002c. Researchers use a time-resolved set-up sensitive to ...

A long standing question in both model theory and group theory has been whether all non-abelian free groups are elementarily equivalent. The question was famously asked by Tarski around 1945 and ...

Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

Margaret Wertheim gave a talk for the Australian Mathematical Sciences Institute at their 2016 annual Summer School. We have built a world of largely straight lines – the houses we live in, the ...