一、个人简介
I am interested in physics, mathematics and natural philosophy and have published research papers in both physics journals and mathematics journals. Although I was often regarded by my colleagues as a mathematician, all my works are motivated by fundamental questions in physics or natural philosophy. My long term goals are to develop a new calculus for quantum many-body theory or quantum field theory (including a new paradigm of phase transitions) and to gain a deeper understanding of the origin of space and time. A summary of my past research can be found here: LK_research.pdf. I provide a list of topics that I am interested in.
• Physics: topological/conformal/quantum field theories, quantum phases in condensed matter physics (including topological orders, SPT/SET orders, spontaneous symmetry-breaking orders, quantum liquids), phase transitions and quantum gravity.
• Mathematics: vertex operator algebras and their representations, conformal/topological nets, operator algebras, higher categories, higher algebras, higher representations, factorization homology, higher homotopy theory and geometric Langlands correspondence.
See more information on my personal website: https://liang-kong.github.io/
二、教育背景
2005.10 博士（数学）Rutgers, the State University of New Jersey
1997.5 硕士（物理学）美国休斯顿大学
1994.7 学士（物理学）中国科学技术大学
三、工作经历
1. Research Fellow (研究员), International Quantum Academy
2. Research Fellow (研究员), Southern University of Science and Technology（南方科技大学）
3. Associate Professor, YMSC, Tsinghua University（丘成桐数学科学中心，清华大学）
4. Lecturer (讲师), Department of Mathematics, University of New Hampshire
5. Research Associate, Center of Mathematical Sciences and Applications (CMSA), Harvard University
6. Associate Member (副研究员), Institute for Advanced Study at Tsinghua University (清华大学高等研究院）
7. Postdoc, California Institute of Technology, USA
8. Postdoc, Hausdorff Research Institute for Mathematics, Bonn, Germany
9. Postdoc, Max Planck Institute for Mathematics, Bonn
10. Postdoc, IHÉS, France
11. Postdoc, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
四、代表性论文
https://arxiv.org/a/kong_l_1.html
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. Open-closed field algebras, Liang Kong, Comm. Math. Phys., 280, 207-261 (2008) [arXiv:math.QA/0610293]
5. Cardy condition for open-closed field algebras, Liang Kong, Comm. Math. Phys., 283, 25–92 (2008) [arXiv:math/0612255]
6. Morita classes of algebras in modular tensor categories, Liang Kong, Ingo Runkel, Adv. Math. 219, 1548–1576 (2008) [arXiv:0708.1897]
7. Cardy algebras and sewing constraints, I, Liang Kong, Ingo Runkel, Comm. Math. Phys. 292, 871–912 (2009) [arXiv:0807.3356]
8. 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]
9. Models for gapped boundaries and domain walls, Alexei Kitaev, Liang Kong, Comm. Math. Phys. 313 (2012) 351-373 [arXiv:1104.5047]
10. Anyon condensation and tensor categories, Liang Kong, Nucl. Phys. B 886 (2014) 436-482 [arXiv:1307.8244]
11. The functoriality of the centre of an algebra, Alexei Davydov, Liang Kong, Ingo Runkel, Adv. Math. 285 (2015) 811-876 [arXiv:1307.5956]
12. 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]
13. Boundary-bulk relation in topological orders, Liang Kong, Xiao-Gang Wen, Hao Zheng, Nucl. Phys. B 922 (2017), 62-76 [arXiv:1702.00673]
14. Drinfeld center of enriched monoidal categories, Liang Kong, Hao Zheng, Adv. Math. 323 (2018) 411-426 [arXiv:1704.01447]
15. Gapless edges of 2d topological orders and enriched monoidal categories, Liang Kong, Hao Zheng, Nucl. Phys. B 927 (2018) 140-165 [arXiv:1705.01087]
16. 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]
17. A classification of 3+1D bosonic topological orders (I): the case when pointlike excitations are all bosons, Tian Lan, Liang Kong, Xiao-Gang Wen, Phys. Rev. X 8, 021074, (2018) [arXiv:1704.04221]
18. The center functor is fully faithful, Liang Kong, Hao Zheng, Adv. Math. 339 (2018) 749-779 [arXiv:1507.00503]
19. The center of monoidal bicategories in 3+1D Dijkgraaf-Witten Theory, Liang Kong, Yin Tian, Shan Zhou, Adv. Math 360 (2020) 106928 [arXiv:1905.04644]
20. A topological phase transition on the edge of the 2d Z2 topological order, Wei-Qiang Chen, Chao-Ming Jian, Liang Kong, Yi-Zhuang You, Hao Zheng, Phys. Rev. B 102, 045139 (2020), [arXiv:1903.12334]
21. A mathematical theory of gapless edges of 2d topological orders, Part I, Liang Kong, Hao Zheng, J. High Energ. Phys. 2020, 150 (2020) [arXiv:1905.04924]
22. Classification of topological phases with finite internal symmetries in all dimensions, Liang Kong, Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang, Hao Zheng, J. High Energ. Phys., 2020, 93 (2020) [arXiv:2003.08898]
23. Algebraic higher symmetry and categorical symmetry – a holographic and entanglement view of symmetry, Liang Kong, Tian Lan, Xiao-Gang Wen, Zhi Hao Zhang, Hao Zheng, Phys. Rev. Research, 2, 043086 (2020), [arXiv:2005.14178]
24. Pointed Drinfeld center functor, Liang Kong, Wei Yuan, Hao Zheng, Commun. Math. Phys, 381, 1409-1443 (2021) [arXiv:1912.13168] 25. A mathematical theory of gapless edges of 2d topological orders. Part II, Liang Kong, Hao Zheng, Nucl. Phys. B, 966 (2021), 115384 [arXiv:1912.01760]
26. One dimensional gapped quantum phases and enriched fusion categories, Liang Kong, Xiao-Gang Wen, Hao Zheng, J. High Energ. Phys., 2022, 22 (2022) [arXiv:2108.08835]
27. Categories of quantum liquids I, Liang Kong, Hao Zheng, J. High Energ. Phys., 2022, 70 (2022) [arXiv:2011.02859]
28. Categorical computation, Liang Kong, Hao Zheng, Frontiers of Physics, Volume 18, Issue 2, 21302, 2023 https://doi.org/10.1007/s11467-022-1251-5, [arXiv:2102.04814]
29. String condensations in 3+1D and Lagrangian algebras, Jiaheng Zhao, JiaQi Lou, Zhi-Hao Zhang, Ling-Yan Hung, Liang Kong, Yin Tian, Adv. Theor. Math. Phys., Volume 27, Number 2, 583-622, 2023 https://dx.doi.org/10.4310/ATMP.2023.v27.n2.a5, [arXiv:2208.07865]
30. Enriched monoidal categories I: centers, Liang Kong, Wei Yuan, Zhi-Hao Zhang, Hao Zheng, Quantum Topol. (2024) DOI10.4171/QT/217, [arXiv:2104.03121]
31. Categories of quantum liquids II, Liang Kong, Hao Zheng, Commun. Math. Phys., 405, 203 (2024) https://doi.org/10.1007/s00220-024-05078-4, [arXiv:2107.03858]