Will Donovan

Research

Articles on the arXiv and Google scholar.

Reviews on zbMATH and MathSciNet.

Singularities, derived symmetries, and ambient spaces

• Derived symmetries for crepant contractions to hypersurfaces

Perverse sheaves of categories, semiorthogonal decompositions

• Perverse schobers and wall crossing
• Perverse schobers on Riemann surfaces: constructions and examples
• Mirror symmetry for perverse schobers from birational geometry (with T Kuwagaki)
• Root stacks and periodic decompositions (with A Bodzenta)

Simplices of flops

• Relating derived equivalences for simplices of higher-dimensional flops

Deformation theory, derived symmetries, and 3-folds

• Mixed braid group actions from deformations of surface singularities (with E Segal)
• Noncommutative deformations and flops (with M Wemyss)
• Contractions and deformations (with M Wemyss)
• Twists and braids for general 3-fold flops (with M Wemyss)
• Contractions of 3-folds: deformations and invariants
• Applications of noncommutative deformations
• Noncommutative enhancements of contractions (with M Wemyss)
• Stringy Kähler moduli, mutation and monodromy (with M Wemyss)

Landau-Ginzburg B-models, and birational geometry

• The Pfaffian-Grassmannian equivalence revisited (with N Addington and E Segal)
• Stringy Kähler moduli for the Pfaffian-Grassmannian correspondence

Hyperkähler geometry

• Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences (with N Addington and C Meachan)
• Mukai flops and P-twists (with N Addington and C Meachan)

Grassmannian twists, and window shifts

• Grassmannian twists on the derived category via spherical functors
• Window shifts, flop equivalences and Grassmannian twists (with E Segal)
• Grassmannian twists, derived equivalences and brane transport