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stoutfellowIt's been a while since I had a Master's student. Last semester, though, one of my students approached me, saying she wanted to study geometry and asking for a topic. (She was enrolled in one of my advanced geometry classes, and is now taking the other.) I offered her two possibilities, one belonging to my current research and the other to previous work, and she chose the former.
My methods of identifying possibly-interesting classes of polygons pick out some "isolated" classes which are likely to be especially interesting. There are only a few of them - thirty-two in all. Ten of them turn out not to be interesting; of the remainder, five or six are already well understood. (I will, I think, have a few comments to make about them, but not much.) That leaves sixteen or seventeen new and interesting. They're the low-hanging fruit of my methods, and will be the main topic of Taxonomy II.
I have assigned my student six of those classes, describing some techniques of investigation, and asked her to find out everything she could about them. I then stopped thinking about those classes - it's only fair! She's doing quite well, so far; she's discovered some properties of these classes that I hadn't noticed. She should finish (the project, and her degree) by the end of this semester, and I plan on giving her co-author credit on Taxonomy II.
My methods of identifying possibly-interesting classes of polygons pick out some "isolated" classes which are likely to be especially interesting. There are only a few of them - thirty-two in all. Ten of them turn out not to be interesting; of the remainder, five or six are already well understood. (I will, I think, have a few comments to make about them, but not much.) That leaves sixteen or seventeen new and interesting. They're the low-hanging fruit of my methods, and will be the main topic of Taxonomy II.
I have assigned my student six of those classes, describing some techniques of investigation, and asked her to find out everything she could about them. I then stopped thinking about those classes - it's only fair! She's doing quite well, so far; she's discovered some properties of these classes that I hadn't noticed. She should finish (the project, and her degree) by the end of this semester, and I plan on giving her co-author credit on Taxonomy II.
