# Jonathan Pirnay

I recently finished my studies in mathematics at the University of Regensburg. I wrote my master's thesis about Tropical Cycle Classes for the Berkovich Analytification of Algebraic Varieties and my bachelor's thesis about Tropical Hypersurfaces of Laurent Polynomials.

I did several talks at some seminars I took. I just like to collect the notes, maybe they prove to be useful to some person at some time.

- Forms on the Analytification of Algebraic Varieties (Master Thesis Seminar)
- Laplacian on metrized graphs (Seminar on potential theory on the Berkovich projective line)
- Group orders of elliptic curves over finite fields (Seminar on elliptic curves and cryptography) (German)
- Algebraic differential equations (German)

Before mathematics I studied Visual Communications at the School of Art and Design Kassel where I did my master thesis together with Jörn Röder about the protocol and implementation of an anonymous decentralized filesharing network. Find the concept of the network here, the protocol here and the proof of concept here.

You can find my old website with projects I did in Kassel here.

Some Links:

I also code for money.

mail (at) johnnycrab.com

(PGP Key,

ID: 0x2E9549AEBAAA4A52,

Fingerprint: E73C 3E03 73F5 675B 3A52 DC08 2E95 49AE BAAA 4A52)