Chiu-Chu Melissa Liu

Chiu-Chu Melissa Liu ( Chinese  劉秋菊  /  刘秋菊 , Pinyin Liú Qiūjú ; * December 15, 1974 ) is a Chinese mathematician from Taiwan who deals with algebraic and symplectic geometry . She is a professor at Columbia University .

Liu graduated from National Taiwan University with a bachelor's degree in 1996 and received his PhD from Shing-Tung Yau at Harvard University in 2002 (Spectrum of the Laplacian and its Applications to Differential Geometry). She was then a Junior Fellow at Harvard, from 2005 Assistant Professor and from 2006 Associate Professor at Northwestern University . In 2006 she became an Associate Professor and 2012 Professor at Columbia University.

She contributed to Gromow-Witten invariants on Calabi-Yau manifolds (she introduced open Gromow-Witten invariants), the theory of the topological vertex and a new definition of quasi-local masses in general relativity (including proof of their positivity ). With Kefeng Liu and others she proved the Marino-Vafa conjecture about Hodge integrals of modular spaces of Deligne-Mumford curves. She extended Michael Atiyah and Raoul Bott's theory of modular spaces of stable vector bundles to non-orientable Riemann surfaces.

In 2007 she received the Morningside Silver Medal and in 2012 she became a Fellow of the American Mathematical Society . From 2007 she was a Sloan Fellow. In 2010 she was invited speaker at the International Congress of Mathematicians in Hyderabad (Gromov-Witten theory of Calabi-Yau 3-folds).

Fonts

• with J. Li, Liu, J. Zhou: A mathematical theory of the topological vertex, Geom. Topol. 13 (2009), pp. 527-621.
• Gromov-Witten-invariants of toric Calabi-Yau 3-folds, in: Handbook of Geometric Analysis, Volume 2
• with K. Liu, J. Zhou: A proof of a conjecture of Marino-Vafa on Hodge Integrals, J. Differential Geom. 65 (2003), pp. 289-340.

Web links

• Homepage, Columbia University

Individual evidence

1. ↑ Chiu-Chu Melissa Liu in the Mathematics Genealogy Project (English)