3 papers
math.AG2026
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…
math.AG2025
Functoriality of Coulomb branches
Tom Gannon, Ben Webster
We prove that the affine closure of the cotangent bundle of the parabolic base affine space for or is a Coulomb branch, which confirms a conjecture…
math.RT2024
Quantization of the universal centralizer and central D-modules
Tom Gannon, Victor Ginzburg
The group scheme of universal centralizers of a complex reductive group has a quantization called the spherical nil-DAHA. The category of modules over this ring is equivalent,…