Catharism & Relationship Between the Papacy and The States Questions

Please read the following two articles and then answer the three questions in a ROBUST paragraph for each question.

What is Catharism and why was it deemed such a threat by the medieval Church?
What does the first article by Professor Andrew Latham suggest about the relationship between the papacy and the states (the state of France in this case)?
According to Iskander Rehman, “the Cathar Crusade was not only one of the most consequential wars in the history of Europe, but also one of the most vigorously debated (Links to an external site.)
by its contemporaries. Yet despite all of this, it has largely been forgotten. In many ways, the Cathar Crusade has become to the Middle Ages what the Korean War (Links to an external site.)
is to the modern era: a massively important conflict that has been surprisingly underexplored.” Why is this the case? (Why is it a) so important, b) so debated, and c) so unknown?)