Is this CW question ok: In what new areas would you like to see mathematical application?
Right now it's formulated very informally. Perhaps it could be made more focused. Sometimes I want to read books or papers relating to "maths of...[insert]" but search shows that math hasn't hitherto penetrated certain areas. (Although problem is one can slap "math of" and come up with pretty much anything.)
- mathematics of vexillology and heraldry : how to generate random, new designs by plugging in values using the 63 representing symbols
- using braid theory to choreograph puppetry, fencing or dancing patterns
- surveillance theory : how can we create more structures like Panopticon
- using knot theory to develop generalized lock theory (only application so far I saw was in an algebraic topology book where a lock was generalized to knots, forgot the title...)
- mathematics of smuggling or hustling: how can the process of say transporting a concealed object from an agent to agent around 'obstacles' be modeled or formalized using graph theory (in fact a two dimensional extension of Graham et al.'s Theory of Juggling) / of course it's utility to detect crimes) :)
- using swarm intelligence to model NFL or NHL offense patterns?
- creating templates for story plots based on data-mining of musical scores (there are lot of software templates out there)
- generating 'witty' one liner advertising slogans from a 'bot' that eavesdrops on twitters, proverbs, expressions, existing ones...etc
- the recently bumped thread of 'taco shape' made me wonder if 'culinary theory' can be introduced
Of course, a broader field would be to ask: Can creativity be automated? of P vs NP. But can we break down that into further applications to new sub-areas? (although most examples were from humanities)
[And lest one asks why don't "I" use them creating formal theories and submitting them to journals. But I do not possess the minimal requirement to do so; also, it's basically a big-list idea where cross-collaboration between experts are required. Least I could do was ask this question. :) ]