53 citations · 143 across the 33 of their papers we have counts for
44 papers
Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
Gwyn Bellamy, Tom Gannon
We show that the nilpotent cone associated to a simply connected semisimple algebraic group, together with all its crepant projective partial resolutions, can be constructed as Ham…
Namikawa--Weyl groups of symplectic quotient singularities
Gwyn Bellamy, Gerhard Röhrle, Johannes Schmitt
We classify the Namikawa--Weyl groups associated to symplectic quotient singularities when is a symplectic reflection group. Our classification shows that every irreducib…
Singularities in Calogero--Moser Varieties
Gwyn Bellamy, Ruslan Maksimau, Travis Schedler
In this article we describe completely the singularities appearing in Calogero--Moser varieties associated (at any parameter) to the wreath product symplectic reflection groups. We…
The semi-invariant ring as the Cox ring of a GIT quotient
Gwyn Bellamy, Alastair Craw, Travis Schedler
We study GIT quotients whose linearisation map defines an isomorphism between the group of characters of and the Picard group of modulo torsion. Our…
The Procesi bundle over the -fixed points of the Hilbert scheme of points in
Gwyn Bellamy, Raphaël Paegelow
For a finite subgroup of and , we study the fibers of the Procesi bundle over the -fixed points of the Hilbert scheme of points in…
Two invariant subalgebras of rational Cherednik algebras
Gwyn Bellamy, Misha Feigin, Niall Hird
Originally motivated by connections to integrable systems, two natural subalgebras of the rational Cherednik algebra have been considered in the literature. The first is the subalg…