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Here's a list of projects I want to finish off. I've been thinking about a lot of new stuff for the last year and a half, but I have to go back and teach at U.C. Riverside in September, so it's time to stop starting things and start finishing things.
This is a mix of Azimuth-related stuff and unrelated stuff.
This weekend I checked the galley proofs for the book Infinite-Dimensional Representations of 2-Groups, which I wrote with Derek Wise and two other guys. Derek still needs to check it before we give the publisher the okay to publish it. We've been working on this since 2007, so it'll be great to get that done.
Today I finished off the paper Teleparallel gravity and higher gauge theory, also written with Derek. Again, Derek needs to check it before we put it on the arXiv and submit it for publication.
I want to finish the paper A Noether theorem for Markov processes, based on a blog post written with Brendan Fong. Right now this only applies to Markov processes with bounded transition rates - that needs to be fixed, since these don't include the examples coming from stochastic Petri nets.
I want to finish the paper The beauty of roots, written with Dan Christensen and Sam Derbyshire. This is 'recreational mathematics' as far as I'm concerned, which makes me feel a bit guilty, but we got invited to write about it for the AMS Notices, and it's lots of fun too, so I want to do it.
I want to write a long paper on stochastic Petri nets with Jacob Biamonte, based on the network theory blog posts. This will take at least a couple of months, mixed in with other activities. I'll be happy if it's done when I leave Singapore.
I can imagine other papers, e.g. on quantropy, but this should be enough to keep me busy! I also have some blogging to do:
I want to publicize Allan Erskine's simple online climate models, starting with a blog post.
I want to edit and publish Tim Van Beek's blog post on fluid flows and infinite-dimensional manifolds.
I want to edit and publish Jacob Biamonte's blog post on forbidden eigenstates in stochastic mechanics.
I want to blog about the selected papers network being developed by Chris Lee and Marc Harper.
Blogging makes a fun break from 'real' writing, so I'll go back and forth between these two activities!
I'm writing this list mainly to put my thoughts in order, but I hope I'll feel a burst of pleasure each time I post a comment here saying I've finished another job!