There's been a lot happening in the world of elliptic curve cryptography lately: new IETF-approved curves for use in protocols like TLS, Juniper's Dual_EC_DRBG getting its points swapped in the wild, and new advances in isogeny-based crypto that may keep some form of ECC alive in a post-quantum world. In this talk we'll touch on these topics as we get a broad look at the current state of curves in modern cryptography.