Peter Cho-Ho Lam

Department of Mathematics
Simon Fraser University
Burnaby, BC V5A 1S6
CANADA

Email: chohol (at) sfu (dot) ca

Last Updated: Sep 6, 2018

About Me

I am currently a fourth-year Ph.D. student in the Department of Mathematics at Simon Fraser University. My supervisors are Stephen Choi and Peter Borwein.

I completed my M.Sc. in the Department of Mathematics in August 2014 at University of Hong Kong, under the supervision of Kai Man Tsang and Yuk Kam Lau. The title of my master thesis is "Primes of the form \(x^2+Dy^2\)".

I completed my B.Sc. in the Department of Mathematics in August 2012 at Chinese University of Hong Kong.

Here is my curriculum vitae.

Research Interests

My research focuses on analytic number theory, especially on problems related to primes. Below are some of the problems I am interested in:

1) Given two irreducible binary forms \(F, G\in\mathbb{Z}[X, Y]\), are there infinitely many \(x, y\in\mathbb{Z}\) such that both \(F(x, y), G(x, y)\) are primes?

2) Let \(n\in\mathbb{N}\) with \(n\equiv4\pmod {24}\). Show that it can be represented as a sum of four squares with very few prime factors.

3) Distribution of Gaussian primes.

4) Variants of Titchmarsh divisor problems, e.g. \(\sum_{p\le x}\tau(p^2+1)\)

Publications

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