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On the Works of Chiu-Chu Melissa Liu

On the Works of Chiu-Chu Melissa Liu. Kefeng Liu. Chiu-Chu Melissa Liu. ◆ Born in Taiwan. ◆ PhD, Harvard University in 2002. ◆ Junior Fellow at Harvard from 2002 to 2005. ◆ Associate professor at Northwestern University and Columbia University. Research Fields.

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On the Works of Chiu-Chu Melissa Liu

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  1. On the Works of Chiu-Chu Melissa Liu Kefeng Liu

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

  3. 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 PhD, Chiu-Chu M. Liu has done several fundamental and influential works on several different topics, some of them are truly landmarks in the subjects.

  4. 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.

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

  6. 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.

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

  8. 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.

  9. 秋菊 芳菊开林耀，青松冠岩列。 怀此贞秀姿，卓为霜下杰。 --- 陶渊明

  10. 赠刘秋菊 刘季兴汉， 提三尺剑，创百世功， 大丈夫是也。 秋菊似锦， 读万卷书，传千秋业, 一妇人而矣。 ---丘成桐

  11. Thank You!谢谢！

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