# Prof. Luen Fai TAM

**Research Professor***BSc (The Chinese University of Hong Kong)
PhD (Stanford University)*

**ORCID:**

**Address:**

Room 704, Academic Building No.1,

The Chinese University of Hong Kong,

Shatin, N.T., Hong Kong

The Chinese University of Hong Kong,

Shatin, N.T., Hong Kong

**Tel:**

(852) 3943 8066

**Email:**

**Fields of Interest:**

Differential geometry; mathematical general relativity; complex geometry

**Selected Publications:**

- Mantoulidis, Christos; Miao, Pengzi; Tam, Luen-Fai: Capacity, quasi-local mass, and singular fill-ins. J. Reine Angew. Math. 768 (2020), 55–92.
- Shi, Yuguang; Tam, Luen-Fai: Positivity of Brown-York mass with quasi-positive boundary data. Pure Appl. Math. Q. 15 (2019), no. 3, 967–982.
- Huang, Shaochuang; Tam, Luen-Fai: Kähler-Ricci flow with unbounded curvature. Amer. J. Math. 140 (2018), no. 1, 189–220.
- Chan, Pak Yeung; Tam, Luen-Fai: A note on center of mass. Comm. Anal. Geom. 24 (2016), no. 3, 471–486.
- Ni, Lei; Tam, Luen-Fai: Poincaré-Lelong equation via the Hodge-Laplace heat equation. Compos. Math. 149 (2013), no. 11, 1856–1870.
- Miao, Pengzi; Tam, Luen-Fai; Xie, Naqing: Critical points of Wang-Yau quasi-local energy. Ann. Henri Poincaré 12 (2011), no. 5, 987–1017.
- A. Chau, L.F. Tam, On the complex structure of Kähler manifolds with nonnegative curvature. J. Differential Geom. 73 (2006), no. 3, 491--530.
- Ni, Lei; Tam, Luen-Fai: Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature. J. Differential Geom. 64 (2003).
- Y. Shi, L.F. Tam, Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature. J. Differential Geom. 62 (2002), no. 1, 79--125.
- Li, Peter; Tam, Luen-Fai: The heat equation and harmonic maps of complete manifolds. Invent. Math. 105 (1991), no. 1, 1–46

**Major Research Grants:**

- Research Grants Council - General Research Fund

**Honours and Awards:**

- Distinguished Paper Award, International Consortium of Chinese Mathematicians Best Paper Award

#### Courses

Course Code | Course Title | Academic Year | Term |
---|---|---|---|

MATH4030 | Differential Geometry | 2022/23 | 1 |

Course Code | Course Title | Academic Year | Term |
---|---|---|---|

MATH4030 | Differential Geometry | 2021/22 | 1 |

MATH4030 | Differential Geometry | 2020/21 | 1 |

MATH6022A | Topics in Geometry II | 2019/20 | 1 |

MATH4030 | Differential Geometry | 2018/19 | 1 |

MATH6021B | Topics in Geometry I | 2017/18 | 2 |

MATH6021A | Topics in Geometry I | 2016/17 | 1 |

MATH6021A | Topics in Geometry I | 2015/16 | 1 |

MATH4030 | Differential Geometry | 2014/15 | 1 |