RTG Member’s AIM Square Project
RTG group members Yaiza Canzani and Jeremy Marzuola recently returned from their last week-long SQuaRE (Structured Quartet Research Ensembles) at the the American Institute of Mathematics in San Jose, CA. The two RTG members, along with their collaborators Greg Berkolaiko and Graham Cox began this journey in 2018, when their original collaborative proposal was approved by this NSF funded institute that specializes in bringing small groups together for focused collaboration. Each team is approved for three annual meetings to solidify the collaboration and allow for deeper discussions over a long period of time. The team has been working on projects related to properties of eigenfunctions in a variety of settings, as well as on the notion of equipartition for domains and manifolds. They have found beautiful connections between properties of spectral equipartitions and the corresponding Dirichlet-to-Neumann map for the given partition.