For Primal, the data is under Explore. You can reach out to Miljan to understand how they do their data analysis.

If you use Iris, you can look into from a client perspective where it gives you a Web of Trust based on someone you know who knows someone - you can set this to n=3 or n-5. Iris's dev is Martti Malmi

If you wanna explore filters through relays, Mazin runs Nostr.wine relay. It has similar filter features as iris (but via relays). nostr wine has expanded over time so Mazin has many features as well

nostr.band is a search tool by Artur Brugeman. He has many stats such what is trending etc - you can check with him on how he does this calculations. Artur has many other creations here as well.

coracle has its own version of web of trust - but it uses a diff formula. you can refer to Hodlbod on this.

these are just some of the areas where data analysis and math is used. there might be more that i have missed out. Hope this helps. Good luck to you!

Data center’s heat will be used a lot from this on, perhaps mainly for heating something. How they are used will be applicable to bitcoin miners

Perhaps help with cryptography audits or new cryptographic features? That's all math before the code gets involved

Focus on the cryptography part. Of course you'll have to learn to code a bit for that, but cryptography is not your typical software development job, and most nostr devs aren't great with cryptography

Learn to code? Math is orders of magnitude harder to learn than most programming languages.

What are your thoughts on probability distribution modeling such as Erdon Renyi or similar ones to analyse community-based structure for networks - nodes, edges and connections. For Nostr this could be based on #follows, #relays, while the connection could be part of the r/w function of the relays and the ability to broadcast to other relays. This was a random thought in terms of clients and relays that operate within the Nostr sphere - if there is a formula to plug in the variables that reflects the outcome of the community structure. This community based structure model could be within the same family of NIP65 gossip model, blastr and it gives a clear picture of how the communication is flowing, what's the strength and weakness, filtering effects tailing the normal distribution etc .

I think you have a very unique and useful skillset for Nostr - mathematical modeling draws a picture of how the systems are, the possibilities and probabilities. For some people it will be easier to imagine relay operations or Nostr better if there is a mathematical model explaining it.

Perhaps what you can do is to read up all the NIPs out there, and let your creativity go wild.