Qual Solutions

Some solutions to old Stanford math quals. I wrote up a bunch of these when I was preparing for the quals and have decided to type up some of them for future generations of Stanford grad students to use as a reference. Since these getting posted relies on my motivation, it's likely that no algebra quals solutions will be posted since I find the analysis ones to be closer to my interests. I can't guarantee the originality of any of the proofs - some are original, some are lifted from lecture notes, some are from discussions with other grad students, etc. Feel free to e-mail me with any corrections. Lastly, for older quals or for a broader selection of quals, check Daniel Kim Murphy's webpage.