  The Green-Griffiths-Lang conjecture says that for every complex projective
algebraic variety $X$ of general type there exists a proper algebraic
subvariety of $X$ containing all nonconstant entire holomorphic curves
$f:\mathbb{C} \to X$. Using equivariant localisation on the Demailly-Semple jet
differentials bundle we give an affirmative answer to this conjecture for
generic projective hypersurfaces $X \subset \mathbb{P}^{n+1}$ of degree
$\mathrm{deg}(X) \ge n^{9n}$.
