On the Works of ChiuChu Melissa Liu Kefeng

On the Works of Chiu-Chu Melissa Liu Kefeng Liu

Chiu-Chu Melissa Liu ◆ Born in Taiwan. ◆ Ph. D, Harvard University in 2002. ◆ Junior Fellow at Harvard from 2002 to 2005. ◆ Associate professor at Northwestern University and Columbia University.

Research Fields ◆ Mathematical problems from theoretical physics related to algebraic geometry, differential geometry, symplectic geometry and topology. She is one of major young leaders in these fields. ◆ In just five years of getting her Ph. D, Chiu-Chu M. Liu has done several fundamental and influential works on several different topics, some of them are truly landmarks in the subjects.

Foundations of Open Gromov. Witten Invariants ◆ ◆ Definition of open Gromov-Witten invariants, in the presence of a circle action. It covers many examples arising in Chern-Simons string duality. This is a major breakthrough in the subject.

The Marino-Vafa Conjecture and Mathematical Theory of Topological Vertex ◆ Proof of the famous Marino-Vafa conjecture with many corollaries. ◆ Mathematical vertex. ◆ Leading foundation of theory of topological to many striking formulas for moduli spaces of Riemann surfaces and Gromov-Witten invariants of toric Calabi-Yau.

Positivity of Quasi-local Mass ◆ ◆ Proposal of new definitions of quasi-local energy and quasi-local angular momentums, proof of the positivity of quasi-local energy. Major advance in the field of general relativity.

Moduli Spaces of Yang-Mills Connections on Non-orientable Riemann Surfaces ◆ Extension of the fundamental works of Atiyah. Bott on moduli spaces of stable bundles to non -orientable Riemann surfaces.

Summary ◆ ◆ Chiu-Chu M. Liu has made fundamental contributions to several major fields of mathematics and theoretical physics. She fully deserves the distinguished Morningside Award.

Thank You! 谢谢！