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.
I'm hiring a postdoc to work with me on my ERC funded project Birational Geometry, B-branes and Artin Stacks. The post is for two years, starting in the spring or summer of 2018. The closing date for applications is 26th November.
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