First Week of the Fall Term 2011 – Mathematics Graduate School

Gradient Flows by Luigi Ambrosio

It’s the second week of school, but with a bank holiday last Monday (09/12/11), graduate school started up slowly. It will take until next week until everyone is finally registered to all of their classes. It took me a while to do so as well, because they changed up the system from a program that you installed on your computer to an online version. The online version is better, but you need to know where to go. I finally registered to my classes last Tuesday. I have three this semester:

Topics in Geometric Analysis: This class is with my thesis advisor and we will be exploring gradient flows in metric spaces. We will be using Luigi Ambrosio’s book of the same title. It promises to be an interesting class. Although, it’s not exactly what I’d like to do in my thesis, it’s getting there. I’d like more measure theory, but luckily, my advisor is doing research in the field. There are six students in the class, but only 4 were registered on Monday. I don’t know if the other two will be registering, my guess is yes. Two of my classmates are the other graduate students of my advisor. We are all going to a workshop in Hsinchu in Differential Geometry  on Saturday. Since I work most Saturdays, it’s not really a problem getting up. It will be a break from the norm, and I have a keen interest in Differential Geometry.

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Recent Wiki Readings

Sunday was consumed by research on spectral sequences, category theory, homological algebra, sheaf theory, topos theory, chain complexes, homotopy theory, cohomology, and functors (tor, ext, hom). These are all concepts of advanced algebra, graduate and doctoral level math in my opinion. I didn’t understand everything, but I’m thirsting for more knowledge on these concepts. When I’m at the library on Wednesday, I’ll pop by to get a few books on these subjects. Maybe I’ll just get and introduction to homological algebra.

I’ve already sent an email to the Analysis III professor asking for class notes so that I can read them and practice for the next semester.

The American Revolution was also on my mind. Since I was watching the John Adams mini-series on HBO, I was curious about certain facts. The Boston Massacre, the Boston Tea Party, the Battle of Bunker Hill, and the Join or Die articles were read.

I’m a bit annoyed at the mini-series. Why?

Well none of the great historical battles or events are portrayed in this series, at least until now. The characters witness them, but the viewers don’t see them. It’s annoying. I find that it cuts the narrative.

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