Peter Huxford

activity

20192026

most citedBraid groups, elliptic curves, and resolving the quartic

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.GT2026

Rigidity of maps between configuration spaces

Rodrigo De Pool, Peter Huxford, Daniel Minahan +1

Let $n \geq 5$ and $m \geq 3$ . Let $Φ : B_{n} \to B_{m}$ be a homomorphism of braid groups. We prove that if the image of $Φ$ is irreducible and not cyclic, then $m = n$ a…

math.GT2024

Noninjectivity of the monodromy of certain equicritical strata

Peter Huxford, Nick Salter

An equicritical stratum is the locus of univariate monic squarefree complex polynomials where the critical points have prescribed multiplicities. Tracking the positions of both roo…

math.GT2023★ 1 cited

Braid groups, elliptic curves, and resolving the quartic

Peter Huxford, Jeroen Schillewaert

We show that, up to a natural equivalence relation, the only non-trivial, non-identity holomorphic maps $Conf_{n} C \to Conf_{m} C$ between unordered co…

math.GR2019

Short presentations of finite simple groups

Peter Huxford

Guralnick, Kantor, Kassabov and Lubotzky (J. Eur. Math. Soc. 13.2, 2011, 391-458) [GKKL] give 3-generator 7-relator presentations of $A_{n}$ and $S_{n}$ with bit-length $O (lo g n)$ for…