1- A short article with three examples of computational homology https://www.math.upenn.edu/~ghrist/preprints/nieuwarchief.pdf
2- https://www.youtube.com/watch?v=8XJes6XFjxM
3- Computable Topology, the study of “topological and algebraic structure of computation”.
4- Topological data analysis (https://www.youtube.com/watch?v=x3Hl85OBuc0), application of geometrical methods in learning algorithms and in natural language processing/parsing (for the last point though I was not able to find a lot of resources).
I appreciate comments or suggestions regarding the following questions:
1- Research Ideas at the intersection of math (geometry and topology) and computer science. This could be a new topic that I haven’t mentioned here or a refinement/variation of the above ideas.
2- Graduate schools with similar research interests, particularly in the Netherlands and the western part of Germany.
3- Given the interdisciplinary nature of the topics I’ve mentioned, would you recommend a master study in a math department or a computer science/informatics department?
As for me, I have obtained my PhD in Computational Mechanics and I am familiar with some topics in applied math (self study during and after my graduate studies) such as Algebra, Linear Algebra, Analysis, Functional Analysis, Variational Methods and Point-Set Topology.