Spencer Hamblen

activity

20132024

most citedLocal arboreal representations

9 citations · 16 across the 7 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

Sums of squares in Quaternion rings

Anna Cooke, Spencer Hamblen, Sam Whitfield

Lagrange's Four Squares Theorem states that any positive integer can be expressed as the sum of four integer squares. We investigate the analogous question over Quaternion rings, f…

math.NT2016★ 9 cited

Local arboreal representations

Jacqueline Anderson, Spencer Hamblen, Bjorn Poonen +1

Let $K$ be a field complete with respect to a discrete valuation $v$ of residue characteristic $p$ . Let $f (z) \in K [z]$ be a separable polynomial of the form $z^{ℓ} - c .$ Given $a \…