# Eigil Fjeldgren Rischel

My name is Eigil Fjeldgren Rischel. I’m studying for a PhD in Computer and Information Sciences at the Mathematically Structured Programming group at the University of Strathclyde. My advisors are Neil Ghani and Radu Mardare.

I’m interested in using very abstract mathematics to make things better. “Very abstract mathematics” usually means something from category theory. “Things” has meant “probability and statistics” up until now, but I’m branching out. **If any of this sounds interesting, I want to talk to you**.

## Highlighted writing

- Demystifying the Second Law of Thermodynamics
- Where do numbers come from?
- Infinite products and zero-one laws in categorical probability. A research paper with Tobias Fritz - see also my blog post
- Issues with Bloom et al’s “Are Ideas Getting Harder to Find?” and why total factor productivity should never be used as a measure of innovation, with Alexey Guzey, Applied Divinity Studies, and two anonymous authors.

## Contact

The preferred avenue is ayegill (at) gmail (dot) com. You can also find me on twitter.

## Some other things I’ve written

- Towards Foundatios of Categorical Cybernetics. With Jules Hedges, Matteo Cappuci, and Bruno GavranoviÄ‡. Accepted for ACT 2021
- Compositional Abstraction Error and a Category of Causal Models. With Sebastian Weichwald. An exposition of some of the (correct) ideas in my MSc thesis, written for a non-category minded audience. Accepted for UAI 2021
- Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability. With Tobias Fritz, Paolo Perrone and Tomas Gonda
- On 2020-11-19, I gave a talk for the MIT Categories Seminar. The youtube video is here. The slides are here
- 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
- The Category Theory of Causal Models. My MSc thesis in mathematics, supervised by Sebastian Weichwald. WARNING: Contains at least one substantial error (the category $\mathsf{Err}$ is not actually finitely presentable - sorry!).
- Bounded ultraspaces. A note on some ideas of Lurie concerning higher categorical logic.
- Localizations in higher algebra and algebraic K-theory. My undergraduate thesis. Essentially an account of the results in this paper. Describes how to construct monoidal structures on certain infinity-categories using universal properties. Supervised by Rune Haugseng

You can also take a look at my blog