Preparations for Christmas done, now in the mood for posting in my “dear diary” category (actually never been able to have one in the real world, excepting one try when I was 12, during a sea trip, which resulted in a meteo report).

Now, what? Let’s see:

* 1. *With detached curiosity (because of an optimistic nature), I read that the agency which manages research grants here has been dismantled and a new organization of its activity will start soon (here, in Romanian). Given my previous reactions, like those under this tag, I better have a plan B, right? So, is there anybody there interested in using my capacity to generate new ideas 😉 ? I anticipated this, some time ago, thinking about a job shelter, and even had some subconscious thoughts when I wrote a professional wishlist.

* 2.* I am very glad to have the occasion to learn a lot, this year, for example about some amazing ideas, like Digital Materialization, see also Carl Vilbrandt on google+. There are posts on this blog concerning digital materialization and eventual benefits of collaboration between DM and euclideon (which is not a scam, if there is still needed to mention). “Now, what?” applies very well here, in the sense, that I am very curious to see if there is really any use of fractal image compression (type) algorithms for freps (and for the format euclideon uses), or what else is happening there?

* 3.* Where is graphic lambda calculus going? For me it is firstly a proof of the fact that “computing with space” is a kind of computing (albeit I am still not convinced that “computing” applies to the way the visual brain works). There are plenty of mathematical venues to explore, like: is there a pi-calculus version, a typed version, is the extended beta move reasonable, can it be used for real for computing, and so on.

Most of all, what is this duality meaning? Is there a category theory fact, hiding in there, given that some typed lambda calculi (with eta reduction) admit a description in cartesian closed categories?

* 4.* Will appear a Journal of very short papers? Will publishers start to value peer-reviews? I am very excited about such ideas and my best hope is that the “global mind” of www users will come with much better ideas than a single “neuron” like me might have.

* 5.* Although I changed the route less than a couple of years ago, I am still interested in sub-riemannian geometry and subjects alike. In fact, I am longing for some plain old fashioned research and article writing period on solid math subjects, after this crazy shift I took. However, I have no regrets, because I was right when I wrote, without any proof, about computing with space!