Abstract: I will first present measurements on nanoscale superconductors featuring a doubly connected sample topology, focusing on the observation of the destructive regime - the loss of superconductivity near the half flux quanta in ultrasmall doubly connected superconductors - and the Little-Parks-de Gennes effect. I will discuss fundamental questions raised by by this experiment. I will then present our recent work on Sr2RuO4, a leading candidate for chiral p-wave superconductor featuring non-trivial topological properties, especially our magnetoresistance detection of half-flux-quantum states in this material. Finally, I will briefly mention career opportunities at Shanghai Jiao Tong University.