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

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Education

• 2013 - 2018: Ph.D. in Mathematics, Indiana University, Bloomington, Indiana, USA.
Advisor: Michael Damron

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• 2011 - 2013: M.Phil. in Mathematics, The Chinese University of Hong Kong, Hong Kong.
Advisor: De-Jun Feng

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• 2008 - 2011: B.Sc. in Mathematics, The Chinese University of Hong Kong, Hong Kong.

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Research interests

• Probability theory and related fields.

Publications/Preprints

1. (With W.-K. Chen) Universality of superconcentration in the Sherrington-Kirkpatrick model. [arXiv]

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2. (With A. Sen) Central limit theorem in disordered monomer-dimer model. [arXiv]

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3. (With M. Damron, J. Gold and X. Shen) On the number and size of holes in the growing ball of first-passage percolation. [arXiv]

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4. (With M. Damron, J. Hanson and D. Harper) Transitions for exceptional times in dynamical first-passage percolation. Probability Theory and Related Fields. Volume 185, 1039–1085 (2023). [arXiv, Journal]

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5. (With P. Nolin) Near-critical avalanches in 2D frozen percolation and forest fires. [arXiv]

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6. (With M. Damron, C. Janjigian and X. Shen) Tail bounds for the averaged empirical distribution on a geodesic in first-passage percolation. [arXiv]

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7. (With W.-K. Chen) Universality of approximate message passing algorithms. Electronic Journal of Probability. Volume 26 (2021), article no. 36, 1-44. [arXiv, Journal]

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8. (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]

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9. (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]

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10. (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]

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11. (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]

Poster

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

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Gallery

Simulations of some stochastic spatial models.

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Seminar

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

Probability reading seminar at NTU.

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Teaching

• At NTU:

2023 Spring:

Probability Theory (II).

2022 Fall:

Probability Theory (I).

2022 Spring:

Introduction to Probability Theory.

2021 Fall:

High-dimensional probability.

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• USRP (Undergraduate Summer Research Program):

2022 Summer:

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

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• At UMN:

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.

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• At IU:

2017 Fall:

MATH-D116 Introduction to Finite Mathematics I.

2016 Fall:

MATH-M18 Basic Algebra for Finite Mathematics.

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Links

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