**Some Foundations of Graph Embeddings** Tutorial on Positional and Structural Graph Representations invariances.org/graph-repres... Given at the NSF-Simons National Institute for Theory and Mathematics in Biology.

Slides of my presentation "Mathematical Foundations of Graph Foundation Models" yesterday at the AMS Session of the #JMM2025. The accompanying paper is coming soon. www.cs.purdue.edu/homes/ribeir...

I'm told this is a more intellectual version of ML Twitter :). I have a question... What papers have made good *theoretical* advances towards graph foundation models? Jan 8th 1-2pm I am giving a talk at the Joint Mathematics Meeting on the topic meetings.ams.org/math/jmm2025...