Earlier quoted context omitted.
My two latest research projects required all of those things. More specific, I tried (and failed) to model movement in an environment as a particle in an electric field. Defining this model required physics of a particle, and optimizing the parameters required differential equations. A sub-section of the project (not done by me) defined a grammar, which required some properties over a semi-ring, which I remember from…
That sounds interesting; can you provide a link to your homepage? Or describe the project in more detail?
I apologize for not having anything less dry to read than papers - as I'm not looking for another job, I don't feel the need to get off my ivory tower too often.
[1] http://ivan-titov.org/papers/emnlp13.pdf (poster: http://www.ling.uni-potsdam.de/~villalba/publications/refexp...)
[2] http://www.ling.uni-potsdam.de/~koller/papers/chart-gre-14.p...