Itamar Oliveira is a PhD student at Cornell University, advised by Dr. Camil Muscalu. Itamar is expected to graduate in May 2022.

42B99. We go over some recent results in the linear/multilinear Fourier extension theory. Under weaker transversality hypotheses, we can show that the k-linear extension conjecture holds if one of the functions is a tensor. Feedback is very welcome!