Embedding ellipsoids into the one-point blowup of CP^2

This talk reports on joint work with Maria Bertozzi, Tara Holm, Emily Maw, Grace Mwakyoma, Ana Rita Pires, and Morgan Weiler on a WiSCon project to investigate the embedding capacity function of the one-point blow up of ℂP2. We found three new families of staircases, that are related by symmetries and have other interesting structural features. This talk will explain our findings and our conjectures.