random update — June 19, 2014

random update

Just a random update. I’ve been working on some problems in birational geometry this past year. There were a few that were too small to publish and now I’m working on another that might be? enough to get a paper out of. In any case, that’s my goal right now, to get a paper haha. In any case, it seems like I’ve been improving my research methods and learning some new techniques in algebraic geometry, so that’s good I guess. In other news, as part of my second year of RTG fellowship, I’m helping the first year grad students prepare for qualifying exams which has been fun, going over those types of nice, cut-and-dry problems they usually put on those exams. (June 19?)

edit: (Nov 10) Well that problem I was working on has I was able to find a solution about a month ago. Unfortunately, the intended application that someone else was working on didn’t quite pan out. However, since the proof seems somewhat interesting, maybe it will be written up as a preprint sometime.

edit2: (Nov 16) and here are a couple of special cases to an algebraic proof of Siu’s Deformation Theorem: (DIOPKLTProofOfExistence and an earlier one: TheoremCBetter5.1. For fun, I hashed these into the bitcoin blockchain…

edit3: (April 6, 2015) I’ve just combined the above. Needs a big check for mistakes. Proof.