Saying hi from Singapore :)

I don't really know much, but that doesn't stop me from reading and answering questions here. Sometimes I get things right, and other times I get them wrong. Thankfully, the former is (slightly!) more common.

My interests shift rapidly as I learn new things. Currently, I am mostly interested in things with an algebraic or topological flavour, particularly linear algebra and algebraic topology. I have also recently gained an interest in set theory and formal logic, and the connections this has to the realm of philosophy, though my understanding of this is still currently extremely rudimentary.

Here are some of my more interesting questions:

• Are these square matrices always diagonalisable?
• A continuous curve intersects its 90 degrees rotated copy?
• On determinants of a certain class of matrices
• Topological "Freshman's Dream"
• Is there a natural group of subgroups of a group?