![]() Ed SegalI am an Associate Professor in the maths department at UCL. I'm part of the geometry group. Contact
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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)(xiv) A non-commutative Bertini theorem (with Jørgen Rennemo and Michel Van den Bergh) J. Noncommutative Geometry 13 (2019), no. 2, 609-616. (xiii) Hori-mological projective duality (with Jørgen Rennemo)
Duke Math. J. 168 (2019), no. 11, 2127-2205. (xii) All autoequivalences are spherical twists (xi) A new 5-fold flop and derived equivalence (x) Quintic threefolds and Fano elevenfolds (with Richard Thomas) (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 (ii) Gauge theory in higher dimensions, II (with Simon Donaldson) (i)
The A-infinity deformation theory of a point and the derived categories of local Calabi-Yaus Lecture NotesManifolds Group Representation Theory Graduate studentsAlex 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
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