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

My research is primarily focused in 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:

#### A pedagogic moment at a conference

Recently, I was at a Math conference for graduate students. I think I’ve taken away some new Math from it, but I was reminded of a very important learning/teaching lesson during a talk. It’s an easy lesson to forget, which is why I’m writing it here as a reminder to myself and others.

#### 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.