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For someone with no real interest in cryptography, do elliptic curves have any other interesting applications in computer science?

Well, I was gonna say factorization (https://en.wikipedia.org/wiki/Lenstra_elliptic_curve_factori...), but I didn't see applications outside cryptography.

> but I didn't see applications outside cryptography.

Theoretical computer science (e.g. complexity theory). :-) Always add this application to a research proposal.