Holonomic D-modules on abelian varieties . Finite basis for analytic multiple gaps . Partial regularity for optimal transport maps . Bilipschitz and quasiconformal rotation, stretching and multifractal spectra . Quadratic differentials as stability conditions . Knot state asymptotics I: AJ conjecture and abelian representations . Knot state asymptotics II: witten conjecture and irreducible representations . Rigidity of generic singularities of mean curvature flow