Essential Information

Name：Liang Kong

Position：Professor

Highest Degree：Ph.D in Mathematics

Research Field：Mathematical Physics (Topological field theories, 2d conformal field theories, category theory, representation theory, topological phases of matters)


Educational Background

2005.10  Ph.D in Mathematics, Rutgers, the State University of New Jersey

1997.5  Master in Physics, University of Houston

1994.7  B.S. in Physics, University of Science & Technology of China


Working Experience

2018.9-   Shenzhen Institute for Quantum Science and Engineering (SIQSE), Southern University of Science & Technology.

2017.9-2018.8    Yau Mathematical Science Center, Tsinghua University

2015.7-2016.6    Center of Mathematical Sciences and Applications, Harvard University

2012.9-2017.5    University of New Hampshire

2009.9--2015.7   Institute for Advanced Study at Tsinghua University

2005.9--2009.08  Max-Planck Institute for Mathematics (Leipzig & Bonn), IHES, Hausdorff Institute of Mathematics, Caltech,


Papers

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 field 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]

10.      Field theories with defects and the centre functor, Alexei Davydov, Liang Kong, Ingo Runkel, Mathematical Foundations of Quantum Field and Perturbative String Theory, Hisham Sati, Urs Schreiber (eds.), Proceedings of Symposia in Pure Mathematics, AMS Vol. 83 (2011) 71–128 [arXiv:1107.0495]

11.      Conformal field theory and a new geometry, Liang Kong, Mathematical Foundations of Quantum Field and Perturbative String Theory, Hisham Sati, Urs Schreiber (eds.), Proceedings of Symposia in Pure Mathematics, AMS, Vol. 83 (2011) 199–244 [arXiv:1107.3649]

12.      Invertible defects and isomorphisms of rational CFTs, Alexei Davydov, Liang Kong, Ingo Runkel, Adv. Theor. Math. Phys., 15, (2011) 43–69 [arXiv:1004.4725]

13.      Models for gapped boundaries and domain walls, Alexei Kitaev, Liang Kong, Comm. Math. Phys. 313 (2012) 351-373 [arXiv:1104.5047]

14.      Electric-magnetic duality and topological order on the lattice, Oliver Buerschaper, Matthias Christandl, Liang Kong, Miguel Aguado, Nuclear Physics B. 876 [FS] (2013) 619-636 [arXiv:1006.5823]

15.      Some universal properties of Levin-Wen models, Liang Kong, XVIITH International Congress of Mathematical Physics, World Scientific 444-455 (2014) [arXiv:1211.4644]

16.      Cardy algebras and sewing constraints, II, Liang Kong, Qin Li, Ingo Runkel, Adv. Math. 262 (2014) 604-681 [arXiv:1310.1875]

17.      Anyon condensation and tensor categories, Liang Kong, Nucl. Phys. B 886 (2014)436-482 [arXiv:1307.8244]

18.      The functoriality of the centre of an algebra, Alexei Davydov, Liang Kong, Ingo Runkel, Adv. Math. 285 (2015) 811-876 [arXiv:1307.5956]

19.      Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries, Tian Lan, Liang Kong, Xiao-Gang Wen, Comm. Math. Phys. 351 (2017) 709-739 [arXiv:1602.05936]

20.      A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries, Tian Lan, Liang Kong, Xiao-Gang Wen, Phys. Rev. B 94, 155113 (2016) [arXiv:1602.05936]

21.      Classification of 2+1D topological orders and SPT orders for bosonic and fermionic systems with on-site symmetries, Tian Lan, Liang Kong, Xiao-Gang Wen, Phys. Rev. B 95, 235140 (2017) [arXiv:1602.05936]

22.      Boundary-bulk relation in topological orders, Liang Kong, Xiao-Gang Wen, Hao Zheng, Nucl. Phys. B 922 (2017), 62-76 [arXiv:1702.00673]

23.      Drinfeld center of enriched monoidal categories, Liang Kong, Hao Zheng, Adv. Math. 323 (2018) 411-426 [arXiv:1704.01447]

24.      Gapless edges of 2d topological orders and enriched monoidal categories, Liang Kong, Hao Zheng, Nucl. Phys. B 927 (2018) 140-165 [arXiv:1705.01087]

25.      Topological orders and factorization homology, Yinghua Ai, Liang Kong, Hao Zheng, Adv. Theor. Math. Phys. Vol. 21, Number 8, (2017) 1845-1894 [arXiv:1607.08422]

26.      A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons, Tian Lan, Liang Kong, Xiao-Gang Wen, Phys. Rev. X 8, 021074, (2018) [arXiv:1704.04221]

27.      The center functor is fully faithful, Liang Kong, Hao Zheng, accepted by Adv. Math. [arXiv:1507.00503]