I've recently moved to UCL, where I am a Lecturer in Algebraic Geometry. I'm part of the geometry group.
I'm interested in the interactions between geometry, algebra and theoretical physics. More specifically, I work on derived categories of coherent sheaves and their various generalizations. A longer summary of my research, written for the general public, is here.
Publications and preprints (arXiv)
(xiii) Hori-mological projective duality (with Jørgen Rennemo)
(xii) All autoequivalences are spherical twists
(xi) A new 5-fold flop and derived equivalence
(ix) K-theoretic and categorical properties of toric Deligne-Mumford stacks (with Tom Coates, Hiroshi Iritani and Yunfeng Jiang)
(viii) The Pfaffian-Grassmannian equivalence revisited (with Nick Addington and Will Donovan)
(vii) Mixed braid group actions from deformations of surface singularities (with Will Donovan) Comm. Math. Phys. 335 (2015), no. 1, 497-543.
(vi) D-brane probes, branched double covers, and non-commutative resolutions (with Nick Addington and Eric Sharpe) Adv. Theor. Math. Phys. 18 (2014), no. 6, 1369-1436.
(v) Window shifts, flop equivalences and Grassmannian twists (with Will Donovan) Compositio Math. 150 (2014), no. 6, 942-978.
(iv) The closed state space of affine Landau-Ginzburg B-models
(iii) Equivalences between GIT quotients of Landau-Ginzburg B-models
The A-infinity deformation theory of a point and the derived categories of local Calabi-Yaus
Group Representation Theory
The universal closed state space of an open TFT