We propose an ansatz for the wave function of a non-interacting quantum particle in a
deterministic quasicrystalline potential. It is applicable to both continuous and discrete …

We identify the leading order term of the asymptotic expansion of the Witten–Reshetikhin–
Turaev invariants for finite order mapping tori with classical invariants for all simple and …

Let F be a finitely generated discrete group. Given a covering map H to G of Lie groups with
G either compact or complex reductive, there is an induced covering map Hom (F, H) to Hom …

We generalize two of our previous results on abelian definable groups in p-adically closed
fields [12, 13] to the non-abelian case. First, we show that if G is a definable group that is not …

We prove the definability and actually the finiteness of the commutator width of many
commutator subgroups in groups definable in o-minimal structures. This applies in particular …

We show that torsion-free finitely generated nilpotent groups are characterised by their
group C⁎-algebras and we additionally recover their nilpotency class as well as the …

We prove that the forgetful functors from the categories of C⁎-and W⁎-algebras to Banach⁎-
algebras, Banach algebras or Banach spaces are all monadic, answering a question of J …

To a compact Lie group G one can associate a space E (2; G) akin to the poset of cosets of
abelian subgroups of a discrete group. The space E (2; G) was introduced by Adem, F …

We initiate the large scale geometric study of Banach-Lie groups, especially of linear
Banach-Lie groups. We show that the exponential length, originally introduced by Ringrose …

We introduce and study the model-theoretic notions of absolute connectedness and type-
absolute connectedness for groups. We prove that groups of rational points of split …