It is funny writing this after my first week at UBC, but here we are. It is clear that this blog has gotten increasingly unhinged. Some divine power must have seen this and thought I was too cocky ...

I started writing this on the first day of the summer term (June 16). Somehow I think my memory got even worse, I cannot remember much of what went on at the start of the semester. But what I can r...

On scaling limits in higher dimensions A large part of the recent developments on the loop-erased random walk (LERW) have been focused on its scaling limit in three dimensions. As of now, the bigg...

I first learned about the theory of Schramm-Loewner Evolutions (SLE) after learning about the conjectured conformal invariance of two-dimensional critical percolation through the article Percolatio...

Hello and welcome to another session of pitiful self-reflection. I have already written a version of this on Zhihu, which is an account of what I have done in 2024 and my plans for the new year ahe...

Third blog post within one week! By the way I love post-midterm UST. The campus is a lot more empty. It is more than a week after my last midterm (Honors Real Analysis) has ended. Now that I am on...

Two blog posts in one week! Today I went to the mathematics session of the Future Science Prize Symposium. The four talks given were A Glimpse at Statistical Physics from Percolation - Jian Di...

Yesterday, I attended my first Hong Kong Probability Seminar. Gefei Cai, from Peking, spoke about the 3 point connectivity problem in 2D critical percolation. Perhaps I should heed Ravi Vakil’s ad...

Ideas in Mathematics The idea of continuity. We have a beautiful formula [\lvert B^A \rvert = \lvert B \rvert ^ {\lvert A \rvert}.] But what happens when at least one of $A$ and $B$ are empty? Th...

Going into Year 2, I am rather uncertain about my goals this year. On the one hand, I have already started working my way into the field of statistical mechanics and random geometry. Yet, I lack th...