### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Monthly Archives: October 2012

## Japanese for mathematics: Algebraic Variety

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!

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

Posted in Uncategorized
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## Understanding Integration II: 1-Forms and Periods

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

## Japanese for mathematics: Manifold

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

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