# A Discussion on Some Open Problems

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This talk will be more of a discussion on some open problems we have seen so far. It should be independent of the previous talks. We will focus on a few of the problems on class groups and isogenies referred to in the Altug-Chen paper discussed on 2/22/19. The preprint is available here: https://eprint.iacr.org/2018/926 and notes from the previous talk can be found here: https://www.math.uci.edu/~schollt/multilinear_map_seminar/scholl-02-22-1.... The problems we will focus on are finding an elliptic curve with a specified endomorphism ring, and finding l-isogenies over composite rings.