A Year in Hiatus!

This year has been rather crazy for me and so haven’t had much time to blog. The reason being that I completed my honours year in Australia in 6 months instead of the full year (they thought it was impossible, but I did it!) which required a lot of time and...

Analysis Tricks Part 1

I recently learnt a really neat trick when it comes to proving two quantities are equivalent. It started of with my supervisor claiming that for some and , (1)   is obvious. To me, it was not obvious at all, and may not be so obvious to you either. But what my...

Putnam 2017 A2

I am currently in China doing a lot of nice work on the wave equation, can’t wait to tell you all about it! But here is a nice problem I did for fun. Today we will look at a Putnam Problem, here is the question, (screenshot from the problem sheet that can be...

On the definition of a Topological Manifold

EDIT 7/1/2019: The proof for each finite subset of a Hausdorff space is closed is corrected. Before I begin, as stated in my articles section, I said I am going to start writing about all the neat maths I’ve learnt throughout my final year project in physics, in...

The Cauchy Problem in General Relativity

So last week, I presented a talk on the Cauchy Problem in General relativity, at the science student research showcase run by my university. Today I wanted to do a brief overview of the problem and the developments made in it since Einstein published his theory of...
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