Tag: graduate studies

  • Back At School

    It’s good to be back at school. I missed most of last week because I was teaching 30 hours. I didn’t miss much³, but I felt terrible. In the future, I won’t want to miss any school at all. My classmates were actually worried about me, which was kind of nice. I ran some errands.

  • Paracompact Spaces

    I It’s strange that I was actually researching paracompact topological spaces on Sunday and that we are seeing those types of spaces in my complex analysis class. We just started the Berenstein & Gay Complex Variables¹ book and things are pretty interesting. I actually deduced that we were heading there because of some of the…

  • Choosing the Right Grad School

    Great article I found thanks to Andrew. It’s by Danah Boyd on the importance of choosing the right grad school. I know about this and it’s important to choose the right school and the right adviser.

  • Germs & Sheaves

    I I spent most of the day reading up on differentiable manifolds, Riemann surfaces, germs, and sheaves. Some of the concepts are extremely interesting since they tie into category theory. This led me to differential geometry. I supposed that differential geometry had more to do with Euclidean geometry, an undergrad class that I didn’t enjoy…

  • Differentiable Manifolds

    I Things got abstract very quickly in complex analysis. We are constructing differentiable manifolds in the complex plane, to see the topology of  holomorphic domains. It blends together quite a few algebraic notions, as well as some beautiful topology, and it’s extremely interesting. The prof told us that this would fit neatly into a Riemann…

  • Mathematical Teaching Methods

    I It seems to me quite logical on how math classes should proceed. The professor presents some theory, with theorems and their demonstration, as well as definitions and propositions, before venturing into a slew of examples. For some reason, this is completely absent from my classes in Taiwan. The examples. I don’t know what these…

  • Measure Theory and Disposable Teachers

    I I’ve been working hard this week at learning more about measure theory. It’s a really interesting research subject and there are quite a few things that I didn’t know about it. In class, we are currently seeing the Lebesgue measure and topics. I’ve read up on the Borel, Haar, Radon, and Daniell measures. I’ve…

  • Researching Trends

    I I met a very helpful second or third-year grad student¹ that really helped me out with finding interesting research assistant positions. There are two for which I will be applying for. One will be for next semester, and the other one will be for next year, running for a whole year from July 2010…

  • Mathematical Algebraic Structures

    I I’ve spent about 4-5 hours on my algebra homework. I still have another 27 problems to finish¹. Naturally, they get harder as you go along. Kind of annoying. I like writing easier ones first and then moving to harder ones a bit later. I like this to happen in each problem set. For some…

  • More Math Graduate School Advice

    Another post on advice about graduate school. Good and sound advice from Berkeley graduate Noah Snyder.