The spring semester has just ended here at Columbia. I assume for most of you similarly the summer will start soonish. Besides running an REU, supervising undergraduates, talking to graduate students, going to conferences, and doing research, I plan to write about Artin’s axioms for algebraic spaces and algebraic stacks this summer.
What are your summer plans? Maybe you intend to work through some commutative algebra or algebraic geometry topic over the summer. In that case take a look at the exposition of this material in the stacks project (if it is in there) and see if you can improve it. Or, if it isn’t there, write it up and send it over. If you want to coordinate with me, feel free to send me an email.
Another (more nerdy?) project is to devise an online comment system for the stacks project. It could be something simple (like a comment box on the lookup page) or something more serious such as a wiki, blog, or bug-tracker, etc. If you are interested in creating something (and you have the skills to do it), please contact me about it.
Finally, I’ve wondered about having mirrors of the stacks project in (very) different locations. If you know what this entails and you are interested in running one, please contact me.