# Eigil Fjeldgren Rischel

My name is Eigil Fjeldgren Rischel. I’m an aspiring mathematician. Currently I’m studying for an MSc at the University of Copenhagen. My thesis is being suprvised by Sebastian Weichwald. From October, I’ll be doing a PhD in Computer Science at the Mathematically Structured Programming group at the University of Strathclyde.

I can be reached at ayegill (at) gmail (dot) com. I also semi-maintain these acounts: github, twitter, goodreads. Please feel free to contact me on any of these channels :). I can also be found hanging out at the category theory Zulip chat.

## Research Interests

The unifying buzzword for all the stuff I’m interested in is ‘Category Theory’. I’m particularly interested in the applications of category theory(in the sense of applied mathematics). Currently I’m studying applications to statistics and probability. I used to be really into algebraic topology, but I don’t do much work in that space anymore. But if you want to chat about it, feel free to send me an email.

## Some things I’ve written

- The Zero-One Laws of Kolmogorov and Hewitt-Savage in Categorical Probability. A statement and proof of a classical theorem of probability theory in an abstract (i.e categorical) setting. With Tobias Fritz. Now published by Compositionality
- Localizations in higher algebra and algebraic K-theory. My undergraduate thesis. Essentially an account of the results in this paper. Describes how to construct multiplicative structures on certain infinity-categories using universal properties. Supervised by Rune Haugseng
- Bounded ultraspaces. A note on some ideas of Lurie concerning higher categorical logic.
- On 2020-06-06, I gave a talk for the Categorical Probability and Statistics conference. There’s a video online here, and my slides are here

You can also take a look at my blog