### Mathematics of relativistic point particles

##### Project Abstract

It is somewhat common to treat a physical body as a cumulative effect of a big number of point particles. It might sound very surprising that such a line of reasoning is not commonly applied in the relativistic context. The reason for this is that the very idea of point particle is problematic in general relativity! Very roughly speaking, one cannot stuff a blob of mass into too tiny of a space without forming a black hole. This project will contribute to an ongoing effort of finding mathematical mechanisms for dealing with point particle limits in different physical contexts.