Monthly Archives: October 2012

Japanese for mathematics: Algebraic Variety

Posted on October 22, 2012 by Charles Siegel

Last time on this series, I talked about the word manifold.  Today, we’re going to add a modifier.

Posted in Japanese for Mathematics | 4 Comments

Grant Day!

Posted on October 15, 2012 by Charles Siegel

No substantive post today, because my grant application is due.  New post next week!

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Understanding Integration II: 1-Forms and Periods

Posted on October 15, 2012 by Charles Siegel

Last time, we discussed integration theory of functions along paths on Riemann surfaces, and then we decided that we wanted to talk about compact Riemann surfaces.  Unfortunately, there aren’t any holomorphic functions on them, and meromorphic functions are the wrong … Continue reading →

Posted in AG From the Beginning, Algebraic Geometry, Complex Analysis, Curves | Leave a comment

Japanese for mathematics: Manifold

Posted on October 8, 2012 by Charles Siegel

So, I’m trying to learn Japanese, being as I live in Japan, so I’ve decided to start this series.  I’m armed with a mathematical English-Japanese dictionary, a kanji look-up website, and a willingness to be corrected if I happen to … Continue reading →

Posted in Japanese for Mathematics | 4 Comments

Understanding Integration I: Riemann Surfaces

Posted on October 1, 2012 by Charles Siegel

I’m back! And now, posting from Kavli IPMU in Japan.  Now, I’m going to start a series on theta functions, Jacobians, Pryms, and abelian varieties more generally, hopefully with some applications, with my goal being at least one post a … Continue reading →

Posted in Abelian Varieties, AG From the Beginning, Algebraic Geometry, Complex Analysis, Curves | 5 Comments