Self-introduction: Yukimi Goto

I am Yukimi Goto, a special postdoctoral researcher of iTHEMS.
I have been interested in the mathematical study of physical models. For example, I have investigated the following question in my research: How many electrons can an atom bind? This is a fascinating open problem in mathematical physics. Intuitively, this question is related to the size of the system, e.g., the question: Why are the radii of atoms more or less independent of their nuclear charge? Although one might think these are simple consequences of electrostatics alone, the Pauli exclusion principle plays an essential role.
My hope is to understand physics. However, to be honest, I’m not a physicist but an applied mathematician. So, I’m happy if you tell me physics.