Published April 17, 2011
mathematics , science
Tags: asia, experience, graduate class, graduate program, international, NTNU, NTU, report, taipei, taiwan
NTNU Main building on Heping Dong Rd.
I just read Fili’s most recent post about his stint at a Taiwanese university (I couldn’t tell which from the post). Having been an international student at NTNU, in the graduate program of Mathematics since ’09, I have different things to report. Granted, I am studying in sciences at the graduate level, so the classes are ultimately very small. I have 4 students in one class and 2 in another.
Still, there are some important points to remember when you think about doing a graduate program in Taiwan.
Continue reading ‘Doing A Graduate Degree In Taiwan’
Atiyah's Introduction to Commutative Algebra
This year, the graduate class format changed dramatically for me. I went from a normal class, filled with students, to classes with at the most 4 students and a professor. Actually, my Complex Analysis II class has only another student enrolled. As such, the format has changed. The professors no longer give 3h-lectures, the students do, each in turn.
Basically, each graduate student will prepare a 3h-lecture¹. In one class, that means that I lecture every 4 weeks. In another, it’s every other week². Preparing the lecture involves going over the textbook and the proofs. Depending on how detailed the proofs are, you’ll need to flesh them out further, and make them understandable, citing the right theorems, propositions, etc. Depending on what book/resources you are using, this might take quite a few hours. It also depends on the overall complexity of the class and the overall sparseness of the authors of the book. Atiyah’s books is very sparse. The proofs are sometimes quite short and they need to be expanded significantly.
Continue reading ‘Mathematics Graduate Class Lecture Format’
Introduction to Commutative Algebra
Last Thursday, I gave my first lecture in a graduate class of mathematics. There were three other students in that class, and the professor. All of the students were graduate students in Algebra. I was the sole person in Analysis. At first, this intimate setting was pretty daunting. I hadn’t taken the class last semester and the prof obviously didn’t like me being part of it¹.
Continue reading ‘Giving Lectures & Presentations in Graduate Classes (Commutative Algebra)†’
The NY Review of Books reviews Masha Gessen’s Perfect Rigor, a fascinating biography of Grigory (Grisha) Perelman, the Russian mathematician who proved the Poincaré Conjecture. What I find surprising is that she wrote this biography without talking with Perelman or his mother.
Dang, while working on some posts I just noticed that the date today is all in binary!
If you didn’t know, that’s 22 in decimal. So today’s 22!
As some topological spaces can be metrizable, the same can be said of categories. Certain categories can be concretizable, if they are isomorphic to a concrete category. I must be making progress as I understood almost everything in that post from David Speyer.