There is no research anywhere, in any field, that has nothing to do with math.

Now this is most certainly wrong. Example (search "history research"):

"Research in history involves developing an understanding of the past through the examination and interpretation of evidence. Evidence may exist in the form of texts, physical remains of historic sites, recorded data, pictures, maps, artifacts, and so on."

Taking a very obvious example, you can't do much in the way of historical research without at least trying to establish which things happened before which other things. It's a serious problem in ancient history.

but you can do that without any math background, for sure there are applications of math in history research but they are just applications

I'm pretty sure modern historians use a lot of mathematical tools: statistics, information science, digital archives, computer imaging, etc. It's very hard to search for this, though, because all of the results concern the history of mathematics. You have to examine the tools and methods used.

Pretty much every field in the social sciences and humanities requires their undergrads to take at least one course in statistics. Sure, these students may complain about it but they need to be trained to not make common statistical errors in their publications. Unfortunately, they still do, which highlights the importance of mathematical education even in these fields.