I am an assistant professor in the Department of Mathematics at National Taiwan University. Before NTU, I was a Dunham Jackson assistant professor (postdoc) in the School of Mathematics at University of Minnesota. I graduated from Indiana University in 2018.

Office: Astronomy Mathematics Building 506

Email: waikitlam(at)ntu.edu.tw

CV

- 2013 - 2018: Ph.D. in Mathematics, Indiana University, Bloomington, Indiana, USA. Advisor: Michael Damron
- 2011 - 2013: M.Phil. in Mathematics, The Chinese University of Hong Kong, Hong Kong. Advisor: De-Jun Feng
- 2008 - 2011: B.Sc. in Mathematics, The Chinese University of Hong Kong, Hong Kong.

- Probability theory and related fields.

- (With M. Damron, J. Hanson and D. Harper) Exceptional behavior in critical first-passage percolation and random sums. [arXiv]
- (With W.-K. Chen) Universality of superconcentration in the Sherrington-Kirkpatrick model.
*Random Structures & Algorithms*. Volume 64, Issue 2 (2024), 267-286. [arXiv, Journal] - (With A. Sen) Central limit theorem in disordered monomer-dimer model. [arXiv]
- (With M. Damron, J. Gold and X. Shen) On the number and size of holes in the growing ball of first-passage percolation.
*Transactions of the American Mathematical Society*. Volume 377 (2024), 1641-1670. [arXiv, Journal] - (With M. Damron, J. Hanson and D. Harper) Transitions for exceptional times in dynamical first-passage percolation.
*Probability Theory and Related Fields*. Volume 185 (2023), 1039–1085. [arXiv, Journal] - (With P. Nolin) Near-critical avalanches in 2D frozen percolation and forest fires. [arXiv]
- (With M. Damron, C. Janjigian and X. Shen) Tail bounds for the averaged empirical distribution on a geodesic in first-passage percolation. [arXiv]
- (With W.-K. Chen) Universality of approximate message passing algorithms.
*Electronic Journal of Probability*. Volume 26 (2021), article no. 36, 1-44. [arXiv, Journal] - (With M. Damron and J. Hanson) Universality of the time constant for 2D critical first-passage percolation.
*Annals of Applied Probability*. Volume 33, Number 3 (2023), 1701-1731. [arXiv, Journal] - (With W.-K. Chen) Order of fluctuations of the free energy in the SK model at critical temperature.
*ALEA Latin American Journal of Probability and Mathematical Statistics*. Volume 16 (2019), 809-816. [arXiv, Journal] - (With M. Damron and J. Hanson) The size of the boundary in first-passage percolation.
*Annals of Applied Probability*. Volume 28, Number 5 (2018), 3184-3214. [arXiv, Journal] - (With M. Damron and X. Wang) Asymptotics for 2D critical first passage percolation.
*Annals of Probability*. Volume 45, Number 5 (2017), 2941-2970. [arXiv, Journal]

This poster briefly explains my work on two dimensional critical first-passage percolation (1 and 4 above).

Simulations of some stochastic spatial models.

In Spring 2018, I organized a graduate student seminar on random matrix theory. Click here for the notes.

Probability Seminar on NTU Campus.

Student Probability seminar at NTU.

- At NTU:
- USRP (Undergraduate Summer Research Program):
- At UMN:
- At IU:

2024 Spring: | Analysis (Honors) II. |

2023 Fall: | Analysis (Honors) I. |

2023 Spring: | Probability Theory (II). |

2022 Fall: | Probability Theory (I). |

2022 Spring: | Introduction to Probability Theory. |

2021 Fall: | High-dimensional probability. |

2022 Summer: | Planar statistical physics: Bernoulli percolation (with Jhih-Huang Li). |

2021 Spring: | MATH 5652 Introduction to Stochastic Processes. |

2020 Fall: | MATH 5651 Basic Theory of Probability and Statistics. |

2020 Spring: | MATH 5652 Introduction to Stochastic Processes. |

2019 Fall: | MATH 5652 Introduction to Stochastic Processes. |

2019 Spring: | MATH 5651 Basic Theory of Probability and Statistics. |

2018 Fall: | MATH 5651 Basic Theory of Probability and Statistics. |

2017 Fall: | MATH-D116 Introduction to Finite Mathematics I. |

2016 Fall: | MATH-M18 Basic Algebra for Finite Mathematics. |

Random Growth Models by Michael Damron, Firas Rassoul-Agha, and Timo Seppäläinen