Professor Damin Wu, jointly with S.T. Yau, has settled a conjecture in complex geometry and algebraic geometry posed by Yau in the 1970s. The conjecture asserts that a projective manifold has an ample canonical bundle if the manifold admits a Kahler metric with negative holomorphic curvature.

The paper by Wu and Yau proving the conjecture is entitled Negative holomorphic curvature and positive canonical bundle, and will appear in the prestigious journal Inventiones Mathematicae.