3 papers
math.AG2026
The classification of smooth 3-fold flops
Gavin Brown, Michael Wemyss
This paper establishes the analytic classification of smooth, simple, 3-fold flops, and in the process provides both an intrinsic characterisation and a classification of their con…
math.AG2024
Noncommutative Singularity Theory
Gavin Brown, Michael Wemyss
This is an expository article on the noncommutative singularity theory of power series in noncommuting variables, its motivation from deformation theory, and its applications to co…
math.AG2023
Derived deformation theory of crepant curves
Gavin Brown, Michael Wemyss
This paper determines the full derived deformation theory of certain smooth rational curves C in Calabi-Yau 3-folds, by determining all higher A_\infty-products in its controlling…