The Kinnos read nowadays on Tisha B'Av seem to have been standardized more or less amongst Ashkenazim to the same 40-odd kinnos, but it obviously wasn't always the case. Many of the Kinnos were written in the past 1000 years by authors across Europe. Undoubtedly there have been hundreds, if not thousands, of dirges written about tragedies which have befallen the Jewish people throughout our history. Yet only a very limited selection of kinnos have made their way into almost every Ashkenaz Kinnos publication available today.
Who compiled and arranged the Ashkenaz Kinnos the way we have them today, and when did this take place?