Welcome to Xiaobo Liu's Homepage

Mailing Address:

Department of Mathematics, MC 4444

Columbia University

2990 Broadway, New York, NY 10027

Office: 505 Mathematics Building

Phone: 212-854-4762

Email: xiaoboli@math.columbia.edu

Title: Ritt Assistant Professor of Mathematics

Educational background:

BS math, Peking University

PhD math, University of Southern California

Teaching:

Spring 2008:

Calculus IV

Research interest: Topological quantum field theory, low dimensional topology.

Publications:

Representations of the quantum Teichmuller space, and invariants of surface diffeomorphisms (With Francis Bonahon) , Geom. Topol. 11 (2007), 889-937

The quantum Teichmuller space as a noncommutative algebraic object, preprint, 2004

Quantum hyperbolic invariants for diffeomorphisms of small surfaces, preprint, 2006

Local representations of the quantum Teichmuller space (With Francis Bonahon & Hua Bai) , preprint, 2007