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Are there some applications of moduli of curves theory? I was wondering if moduli of curves theory is used (or could be used) for doing research in applied mathematics.

I am doing my PhD in algebraic geometry (in particular, moduli of curves) and I would like to focus also on some applications, but I don't know if they exists and I can't find anything on the web. Thank you.

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I'm not entirely sure what "moduli of curves theory" is, but if I'm not mistaken, there are some pretty amazing applications of the moduli stack of elliptic curves in physics. –  Jon Beardsley Sep 18 '12 at 14:29
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Probably this should be a community wiki? –  Karl Schwede Sep 18 '12 at 14:46
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