3 papers
math.RT2026
Nilpotent quiver varieties with multiplicities and symmetrisable crystals
Victoria Hoskins, Joshua Jackson, Tanguy Vernet
We construct analogues of Nakajima's nilpotent quiver varieties for quivers with multiplicities, by developing new stability conditions for framed nilpotent quiver representations…
math.AG2025
Moduli spaces of representations of quivers with multiplicities via non-reductive GIT
Victoria Hoskins, Joshua Jackson, Tanguy Vernet
We construct new moduli spaces of quiver representations with multiplicities, i.e. over rings of truncated power series. This includes moduli of framed representations and analogue…
math.AG2025
The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity
Joshua Jackson, David Swinarski
Kempf proved that when a point is unstable in the sense of Geometric Invariant Theory, there is a ``worst'' destabilizing 1-parameter subgroup . It is natural to ask: what…