Liang Kong Researcher
email: kongl@sustech.edu.cn
Office：Taizhou-502-16
Research Field：Mathematical Physics (Topological field theories, 2d conformal field theories, category theory, representation theory, topological phases of matters)



Essential Information
Portrait
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Name：LiangKong
Position：Professor
Highest Degree：Ph.D in Mathematics
Telephone（office）：
Office：
Email：kongl@sustce.edu.cn
Research Field：MathematicalPhysics (Topological field theories, 2d conformal field theories, categorytheory, representation theory, topological phases of matters)

Educational Background
2005.10Ph.D in Mathematics, Rutgers, the State University of New Jersey
1997.5Master in Physics, University of Houston
1994.7B.S. in Physics, University of Science & Technology of China

Working Experience
2018.9- Shenzhen Institute for Quantum Science andEngineering (SIQSE), SouthernUniversity of Science & Technology.
2017.9-2018.8 Yau Mathematical Science Center, TsinghuaUniversity
2015.7-2016.6 Center of Mathematical Sciences andApplications, Harvard University
2012.9-2017.5 University of New Hampshire
2009.9--2015.7 Institute for AdvancedStudy at Tsinghua University
2005.9--2009.08 Max-Planck Institute forMathematics (Leipzig & Bonn), IHES, Hausdorff Institute of Mathematics,Caltech,
Papers
1.Open-string vertexalgebras, categories and operads, Yi-Zhi Huang, Liang Kong, Comm. Math. Phys.250 (2004) 433–471, [arXiv:math/**]
2.Full field algebras,Yi-Zhi Huang, Liang Kong, Comm. Math. Phys. 272 (2007) 345–396,[arXiv:math/**]
3.Full field algebras,operads and tensor categories, Liang Kong, Adv. Math. 213 (2007) 271–340,[arXiv:math/**]
4.Modular invariancefor conformal full field algebras, Yi-Zhi Huang, Liang Kong, Trans. Amer. Math.Soc. 362 (2010) 3027–3067, [arXiv:math.QA/**]
5.Open-closed fieldalgebras, Liang Kong, Comm. Math. Phys., 280, 207-261 (2008) [arXiv:math.QA/**]
6.Cardy condition foropen-closed field algebras, Liang Kong, Comm. Math. Phys. 283, 25–92 (2008)[arXiv:math/**]
7.Morita classes ofalgebras in modular tensor categories, Liang Kong, Ingo Runkel, Adv. Math. 219,1548–1576 (2008) [arXiv:0708.1897]
8.Cardy algebras andsewing constraints, I, Liang Kong, Ingo Runkel, Comm. Math. Phys. 292, 871–912(2009) [arXiv:0807.3356]
9.Algebraic structuresin Euclidean and Minkowskian two-dimensional conformal field theory, LiangKong, 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 centrefunctor, Alexei Davydov, Liang Kong, Ingo Runkel, Mathematical Foundations ofQuantum 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 StringTheory, Hisham Sati, Urs Schreiber (eds.), Proceedings of Symposia in PureMathematics, AMS, Vol. 83 (2011) 199–244 [arXiv:1107.3649]
12. Invertible defects and isomorphisms ofrational CFTs, Alexei Davydov, Liang Kong, Ingo Runkel, Adv. Theor. Math.Phys., 15, (2011) 43–69 [arXiv:1004.4725]
13. Models for gapped boundaries and domainwalls, Alexei Kitaev, Liang Kong, Comm. Math. Phys. 313 (2012) 351-373[arXiv:1104.5047]
14. Electric-magnetic duality and topologicalorder 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-Wenmodels, Liang Kong, XVIITH International Congress of MathematicalPhysics, 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, AlexeiDavydov, Liang Kong, Ingo Runkel, Adv. Math. 285 (2015) 811-876[arXiv:1307.5956]
19. Modular extensions of unitary braided fusion categoriesand 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 andfermionic/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 ordersfor bosonic and fermionic systems with on-site symmetries, Tian Lan, LiangKong, 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, LiangKong, Hao Zheng, Adv. Math. 323 (2018) 411-426 [arXiv:1704.01447]
24. Gapless edges of 2d topological orders and enrichedmonoidal categories, Liang Kong, Hao Zheng, Nucl. Phys. B 927 (2018) 140-165[arXiv:1705.01087]
25. Topological orders and factorization homology, YinghuaAi, 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 isfully faithful, Liang Kong, Hao Zheng, accepted by Adv. Math.[arXiv:1507.00503]