The most important mathematical topics for understanding cryptography?

Hi.

I was thinking of studying some mathematics this summer. Mainly for
it's own sake. The trouble is I don't know what to chose!

To make matters simpler, I have decided to study the mathematical
topics most useful for understanding cryptography (since I am
interested in cryptography too, and will pursue it later).

What _are_ the most important mathematical topics in cryptography?
Abstract algebra? Discrete mathematics? Number theory?

Thank you!
Björn

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be#bjrn;se (GPG public key: 0x81DA4221)
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