Welcome!

The purpose of this blog is to share bits of mathematics I find interesting. These may be bits I understand and feel I can explain well in a blog post, or they may be bits I am confused about and want feedback on. I hope to make this blog a place for frank and productive mathematical conversations.

My main focus is number theory, with an emphasis on *number* and a de-emphasis on *theory*. You can even expect posts about particular numbers—not only the famous ones like and , but also underappreciated numbers like . My interests are fairly broad and applied, and I will also post about non-number-theoretic topics.

I am sure this blog will stray outside of mathematics proper from time to time. For example, I may write posts on teaching, personal projects, maths history, mathematical culture, or issues relevant to academia and the internet.

I encourage anyone to comment on posts and ask questions. Mathematical questions from students and amateurs are explicitly encouraged, and pseudonymous comments are allowed. In order to keep the comment section welcoming and useful, I will delete any comments that are bigoted, rude, or totally off-topic.

If you find an error in one of my blog posts, please make a comment about it; I will correct it and credit you in the post.

This WordPress site supports basic HTML and in comments. To write code in a comment, simply put your code in dollar signs with the word “latex” at the beginning and “&s=1” at the end. For example, typing

**$****latex \displaystyle \sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}&s=1****$**

produces the inline image

.

The postfix “&s=1” isn’t strictly necessary—it’s just making the font size larger. More information is available on the LaTeX for WordPress support page.