About me

As of September 2023 I started as a PhD student in algebraic topology at UCPH with advisors Robert Burklund and Jesper Grodal. My main interests are in stable homotopy theory and higher algebra. I am particularly fascinated by the interplay between modern homotopy theory and algebraic geometry as well as $p$-adic arithmetic. Specifically I think about deformation theory, higher algebra in positive characteristic and chromatic homotopy theory. I am also getting into motivic homotopy theory.

Writing

Preprints

On the deformation theory of $\mathbb{E}_\infty$-coalgebras
Based on my master’s thesis. About to be updated (06.04.24): arxiv link

Notes

Expository material and lecture notes I took.

Galois categories and the etale fundamental group
My bachelor thesis, with some minor edits: pdf

Topological Cyclic Homology
Lecture notes on THH, TC and friends: pdf
Course taught by Thomas Nikolaus and Achim Krause.

Algebraic Number Theory
Lecture notes for a first course on algebraic number theory: pdf
Course taught by Christopher Deninger.

CV

My CV as of 09.06.23:

Curriculum Vitae

Contact

You can reach me under:

florian.riedel@pm.me