**
Very ample divisors on curves,
11 Dec 2018
**

All of the sources that I have found characterizing very ample divisors reference Hartshorne or otherwise use, in my opinion, “non-elementary” arguments. Here are some “elementary” proofs that I worked out with some fellow grad students.

Belyi’s Theorem is an arithmetic-geometric result that has the unusual quality of being both fairly recent and provable with only the material from a first course in classical algebraic geometry.

**
Applying to grad school,
23 Jun 2018
**

I have spent a lot of time applying to grad schools, here are some useful things that I found during my search.

**
French learning materials,
17 Jun 2018
**

I have recently started learning French. Here is a list of some of the materials that I have been working from.

**
Path 3-coloring plane graphs,
15 Jun 2018
**

A path coloring of a graph partitions its vertex set into color classes such that each class induces a disjoint union of paths. In my computer science masters project I implemented several algorithms to compute path colorings of graphs embedded in the plane.

**
The permutationlock domain,
10 Jun 2018
**

The domain name “permutation lock” is something that I came up with back in high school when I learned that the locking mechanism on a “combination lock” does not fit with the combinatorial notion of a combination.