Any suggestions for math projects? (Math Ventures Club)

Using Linear Algebra to solve Graph problems, in particular, algebra over Tropical Semirings. Here's a great, but not graph specific, introduction to the advanced math behind the subject by Madeline Brandt:

https://www.youtube.com/watch?v=S_bVv7Lau-s

There is an open source effort to bring this style of mathematical analysis to graph optimization problems (shortest path, resource scheduling, etc) called the GraphBLAS:

https://graphblas.github.io/

I am the author of the pygraphblas Python binding around the GraphBLAS library, you can find a lot of examples in the demo notebooks shown in the README:

https://github.com/Graphegon/pygraphblas

Hi! We are a group of students from Germany, searching for interesting projects, where we could contribute and learn a lot. Our interests are: applied category theory, computational + "anything" and more generally any applicable math (optimization, ML etc.). We actively search for interesting non-standard topics that might be in a long-term perspective relevant, could enrich our backgrounds and serve as a source of inspiration for future research.

We would love to hear your ideas & suggestions! Thank you.