Liang Kong

  Associate Member

Education background

Ph.D. in mathematics, Oct. 2005, Rutgers, The State University of New Jersey

M.S. in physics, May, 1997, University of Houston.

B.Sc. in physics, July, 1994, Univ. of Sci. and Tech. of China.

Experience

09/2009 -present, Associate Member,Institute for Advanced Study, Tsinghua University, China

09/2008-08/2009, Post-doctoral fellow,California Institute of Technology.

05/2008-08/2008, Post-doctoral fellowHausdor Research Institute for Mathematics, Bonn, Germany

12/2006-04/2008, Post-doctoral fellowMax Planck Institute for Mathematics, Bonn

02/2006-04/2006, 09/2006-11/2006,Post-doctoral fellow, IHÉS, France.

09/2005-01/2006, 05/2006-08/2006, Post-doctoral fellow,Max Planck Institute for Mathematics in the Sciences,Leipzig, Germany.

Areas of Research Interests/ Research Projects

Conformal Field Theory and Representation Theory

Category Theory and Algebraic Geometry

Topological/Quantum Order and Phase Transition

Academic Achievement

1. Open-string vertex algebras, categories and operads,

Yi-Zhi Huang, Liang Kong,Comm. Math. Phys. 250 (2004) 433-471, [arXiv:math/0308248]

2. Full field algebras,

Yi-Zhi Huang, Liang Kong,Comm. Math. Phys. 272 (2007) 345-396, [arXiv:math/0511328]

3. Full fieeld algebras, operads and tensor categories,

Liang Kong, Adv. Math. 213 (2007) 271-340, [arXiv:math/0603065]

4. Modular invariance for conformal full field algebras

Yi-Zhi Huang, Liang Kong,Trans. Amer. Math. Soc. 362 (2010) 3027-3067, [arXiv:math.QA/0609570]

5. Open-closed field algebras,

Liang Kong,Comm. Math. Phys., 280, 207-261 (2008) [arXiv:math.QA/0610293]

6. Cardy condition for open-closed field algebras,

Liang Kong, Comm. Math. Phys., 283, 25-92 (2008) [arXiv:math/0612255]

7. Morita classes of algebras in modular tensor categories,

Liang Kong, Ingo Runkel, Adv. Math. 219, 1548-1576 (2008) [arXiv:0708.1897]

8. Cardy algebras and sewing constraints, I ,

Liang Kong, Ingo Runkel, Comm. Math. Phys. 292, 871-912 (2009) [arXiv:0807.3356]

9. Algebraic structures in Euclidean and Minkowskian two-dimensional conformal field theory,

Liang Kong, Ingo. Runkel, Noncommutative structures in Mathematics and Physics,

217{238, K. Vlaam. Acad. Belgie Wet. Kunsten (KVAB), Brussels, 2010, [arXiv:0902.3829]