Are modern Irish people at all related to the Celts (Gauls) conquered by the Romans under Julius Caesar?

by trytoholdon

I was reading about Caesar’s conquest of the Celts in Gaul. At the time, I believe, Ireland was mostly uninhabited. So, I assume that these are the same Celts who immigrated there. However, I’m not sure and wanted to ask an expert.

I understand that Agricola, the Roman governor of Britain, is said to have employed a Celtic chieftain — Túathal Techtmar in Irish myth — who later conquered Ireland.

Typologyguy

I go into how the Iron Age people of Ireland came to be associated with a grand "Celtic" narrative of mass migration in this thread

Suffice it to say, Ireland had been continuously inhabited for many thousands of years by the time of the Roman conquests in Gaul and was by no means mostly uninhabited.