Zhichao Wang

In this joint work with Xingzhe Li, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci...

In this joint work with X. Zhou, we exhibit the first examples of non-generic metrics on the three sphere in which the varifold associated with a two-parameter min-max construction must be a multiplicity two minimal surface. This is proved by a new...