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...

Just a post to provide some information. As one might have noticed, Prof. Bao has left HKUST to join HKU starting from this academic year. Fortunately, Prof. Nitzschner has joined us last year, so ...

This is the last time that I can call myself year 1. Actually that day probably ended since JUPAS registration. Not sure. Well if the student centre says I’m year 1 (it does), then I guess I still ...

I just spent the whole evening messing with personal wikis. I have been wanting to create a personal wiki for my maths notes for quite some time. The short conclusion is that there are currently no...

Sorry to the three readers of my blog. This is a very late post, two weeks after the start of the summer term. This has been a chaotic term. Check my course list for more details. Honestly, it has...

I first posted this on UST Space, a course review website for HKUST students. I will copy it here as well. Now that I have successfully transferred to IRE, and that my reviews have uniquely reveal...

I have failed. As I am writing these words, I am doing something that I would not be doing had things gone the right way. (There is a grammar mistake here somewhere, I am sure.) Right now, 100 mete...

Lecture highlights: More details about the construction of our category of mappings between subsets of Euclidean spaces The velocity functor Pushforward map Definition of smooth manifold ...