Publications

I have been a coauthor on three published scientific papers, and in addition I have three preprints available on arXiv.

1.Punctual Hilbert schemes for Kleinian singularities as quiver varieties*, in Algebraic Geometry 8 (6) (2021) 680–704. Available online here, co-written with Ádám Gyenge, Alastair Craw, and Balázs Szendrői.

1. Quot Schemes for Kleinian Orbifolds* in SIGMA 17 (2021). Available online here, co-written with Ádám Gyenge, Alastair Craw, and Balázs Szendrői.

2. Quiver Varieties and Framed Sheaves on Compactified Kleinian Singularities. Available online here in Journal of Algebra and its Applications., as a preprinthere This is largely a cleaned-up version of some results from my DPhil thesis, giving a set-theoretical bijection between (the closed points of) certain Nakajima quiver varieties and sets of framed sheaves on stacks compactifying Kleinian singularities.

Preprints:

1. Moduli spaces of framed sheaves on compactified Kleinian singularities. Available online here. This preprint constructs the spaces of framed sheaves mentioned in the previous preprint as quasiprojective schemes.
2. Noncommutative projective partial resolutions and quiver varieties. Co-authored with Ádám Gyenge. Available online here. This preprint generalises much of the above work, constructing a class of noncommutative projective surfaces and investigating the spaces of framed sheaves on them.
3. Quiver Schemes for Nongeneric Stability and Cornering. Co-authored with Lukas Bertsch. Available online here In this preprint, we investigate the infinitesimal properties of quiver schemes in many cases, inclusing Nakajima quiver varieties.