Jan 18, 2016
I’ve often heard people say that the interesting part of number theory is the interaction between addition and multiplication, but I only yesterday realized one reason why that is, triggered by convincing myself that $a b = \mathrm{lcm}(a,b)\mathrm{gcd}(a,b)$ (a train of thought triggered by seeing the letters “GCD” graffitied on a wall in Chicago).…
Jul 9, 2014
The other day I was sitting in The Coop in Cambridge, reading a book on combinatorial games, and so naturally I started wondering about games played in groups, or on their Cayley graphs at least.…
Jan 21, 2013
If I say the word “swimming” to you, you’ve got a fair bit of information about what word I’m going to say next.…