Open notebook

I have started an open notebook. It's somewhere I plan to post some of the mathematical questions I'm thinking about, while I'm thinking about them, and to post whatever progress I've made on them, while it's being made. This is quite different from my usual mode of working (where I think about things for a year or more and then eventually write up the distillate and post it to arXiv).

I have been planning to try this out for a very long time, but there was always been reasons not to. A shorter list is the list of reasons I wanted to try it:

• Increasingly, I'm working on the interface between symplectic geometry, complex algebraic geometry, and low-dimensional topology. I don't have so many contacts in the algebraic geometry or low-dimensional topology worlds, so this is a way for random people to see what I'm doing, in the hope that something serendipitous might occur.
• It sounded like fun when I read about it.

So far, I've started one project (about Lefschetz pencils on Godeaux surfaces) and posted some thoughts and some Python code. It's maybe a little difficult to figure out what it's all about at the moment, but that's because 90\% of the project is either in my head or on scrap paper. I'm hoping to rectify that in the next few weeks, but the online version will necessarily lag behind in comprehensibility (it takes time to write things down, even messily).

If you want to contribute in some way, please let me know!