PEOPLE

LAN Tian 蘭天

### LAN Tian / Assistant Professor

**PHONE:** (852) 3943 6368

**EMAIL:** tlan@cuhk.edu.hk

**OFFICE:** Room G6, G/F, Science Centre North Block

**ORCID:** 0000-0002-0961-969X

### Education

- 2013–2017, PhD in Theoretical Physics Perimeter Institute for Theoretical Physics & University of Waterloo
- 2012–2013, MSc in Theoretical Physics, Perimeter Scholars International (PSI) Perimeter Institute for Theoretical Physics & University of Waterloo
- 2008–2012, BSc in Mathematics and Physics, Tsinghua University

### Position

- 2021-now, Assistant Professor, The Chinese University of Hong Kong
- 2018-2020, Postdoctoral Fellow, Institute for Quantum Computing, University of Waterloo

### Research Interests

- Mathematical framework for topological phases of matter
- Higher categorical structures of symmetry, quantum phases and phase transitions
- Exactly solvable models for topological phases and quantum computation

### Honours and Awards

- Early Career Award 2021/22, University Grants Committee

### Selected Recent Publications

- L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang and H. Zheng, “Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry”, Phys. Rev. Res. 2, 043086 (2020), arXiv:2005.14178.
- L. Kong, T. Lan, X.-G. Wen, Z.-H. Zhang and H. Zheng, “Classification of topological phases with finite internal symmetries in all dimensions”, J. High Energy Phys. 2020, 93 (2020), arXiv:2003. 08898.
- T. Lan and X.-G. Wen, “Classification of 3+1D Bosonic topological orders (II): The case when some pointlike excitations are Fermions”, Phys. Rev. X 9, 021005 (2019), arXiv:1801.08530.
- T. Lan, L. Kong and X.-G. Wen, “Classification of 3+1D bosonic topological orders: The case when pointlike Excitations are all bosons”, Phys. Rev. X 8, 021074 (2018), arXiv:1704.04221.
- T. Lan, L. Kong and X.-G. Wen, “Classification of (2+1)-dimensional topological order and symmetry-protected topological order for bosonic and fermionic systems with on-site symmetries”, Phys. Rev. B 95, 235140 (2017), arXiv:1602.05946.
- T. Lan, L. Kong and X.-G. Wen, “Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries”, Commun. Math. Phys. 351, 709–739 (2017), arXiv:1602.05936.
- T. Lan, L. Kong and X.-G. Wen, “Theory of (2+1)-dimensional fermionic topological orders and fermionic/bosonic topological orders with symmetries”, Phys. Rev. B 94, 155113 (2016), arXiv:1507.04673.
- T. Lan, “Matrix formulation for non-Abelian families”, Phys. Rev. B 100, 241102(R) (2019), arXiv:1908.02599.
- T. Lan and X.-G. Wen, “Hierarchy Construction and Non-Abelian Families of Generic Topological Orders”, Phys. Rev. Lett. 119, 040403 (2017), arXiv:1701.07820.
- T. Lan, J. C. Wang and X.-G. Wen, “Gapped Domain Walls, Gapped Boundaries, and Topological Degeneracy”, Phys. Rev. Lett. 114, 076402 (2015), arXiv:1408.6514.