25 citations · 146 across the 36 of their papers we have counts for
4 papers · 1 filter
A Banach space determined by the Weil height
Daniel Allcock, Jeffrey D. Vaaler
The absolute logarithmic Weil height is well defined on the group of units of the algebraic closure of the rational numbers, modulo roots of unity, and induces a metric topology on…
Triangles of Baumslag-Solitar Groups
Daniel Allcock
Our main result is that many triangles of Baumslag-Solitar groups collapse to finite groups, generalizing a famous example of Hirsch. A triangle of Baumslag-Solitar groups means a…
Monodromy Groups of Hurwitz-type Problems
Daniel Allcock, Chris Hall
We solve the Hurwitz monodromy problem for degree-4 covers. That is, the Hurwitz space H_{4,g} of all simply branched covers of P^1 of degree 4 and genus g is an unramified cover o…
On the Y555 complex reflection group
Daniel Allcock
We give a computer-free proof of a theorem of Basak, describing the group generated by 16 complex reflections of order 3, satisfying the braid and commutation relations of the Y555…