Ed SegalI'm an algebraic geometer in the maths department at UCL. Contact
 
Research interestsI'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)(xix) The McKay correspondence in type D_{4} via VGIT (with Tarig Abdelgadir) (xviii) Equivariant Fukaya categories at singular values (with Yankı Lekili) (xvii) Serre functors of residual categories via hybrid models (with Federico Barbacovi) (xvi) Line fields on punctured surfaces and twisted derived categories (xv) Discriminants and semiorthogonal decompositions (with Alex Kite) (xiv) A noncommutative Bertini theorem (with Jørgen Rennemo and Michel Van den Bergh) (xiii) Horimological projective duality (with Jørgen Rennemo) (xii) All autoequivalences are spherical twists (xi) A new 5fold flop and derived equivalence (x) Quintic threefolds and Fano elevenfolds (with Richard Thomas) (ix) Ktheoretic and categorical properties of toric DeligneMumford stacks (with Tom Coates, Hiroshi Iritani and Yunfeng Jiang) (viii) The PfaffianGrassmannian equivalence revisited (with Nick Addington and Will Donovan) (vii) Mixed braid group actions from deformations of surface singularities (with Will Donovan) (vi) Dbrane probes, branched double covers, and noncommutative resolutions (with Nick Addington and Eric Sharpe) (v) Window shifts, flop equivalences and Grassmannian twists (with Will Donovan) (iv) The closed state space of affine LandauGinzburg Bmodels (iii) Equivalences between GIT quotients of LandauGinzburg Bmodels (ii) Gauge theory in higher dimensions, II (with Simon Donaldson) (i)
The Ainfinity deformation theory of a point and the derived categories of local CalabiYaus Lecture notesManifolds Group Representation Theory Graduate studentsMichela Barbieri Edwin Hollands Federico Barbacovi (graduated 2023) Bradley Doyle (graduated 2021) Alex Kite (graduated 2019) If you're interested in doing a PhD with me you should apply to the LSGNT. Applications are normally open in November/December each year. Miscellaneous The universal closed state space of an open TFT The 7 Colour Theorem The Incredible Predictive Power of String Theory The Geometry of Gauged Linear Sigma Models
