I am a Ph. D. candidate in Mathematics at Wesleyan University, working under the supervision of Felipe A. Ramirez.

I study homegeneous dynamics and its applications to Diophantine approximations. In particular, I'm interested in $p$-adic analogues of Diophantine approximation results.


Blog

I occasionally (read: sporadically) write posts on the material I'm reading and problems that arise while talking to others. This is where they end up:

Can there be an uncountable tiling of the plane?

I came across a post on Reddit one morning that posed the following interesting little question: Are the only tilings of the plane countable?

Hello World, again

So I’ve redone this blog, again. Last time I did this I was learning how to play with NodeJS. There were some serious design flaws with that implementation; mainly due to the fact that I didn’t really know how I wanted to use it. However, it gave me some practice with NodeJS and I had a bunch of fun. This time I have a better idea of how I wanted this to work (and I...

Norms Induce Metrics

This post was written back when I was an undergrad (as you can tell by the date). It's not an amazing result, but was a fun exercise that arose from an interesting conversation I had with a professor at the time.

How different are metrics and norms?

This post was written back when I was an undergrad (as you can tell by the date). It's not an amazing result, but was a fun exercise that arose from an interesting conversation I had with a professor at the time.