Who to ask whether my math logic research results are novel?
The best way of finding out if your ideas are novel is to do a literature search. 

A good place to start would be arxiv.org, which is a well-known pre-print repository (i.e. place where papers get uploaded before they are published) that has plenty of mathematical papers. 

See what research has been done in the same area as you and you will get an idea of whether or not your research is novel, as well as the standard your work needs to reach if you intend to publish it in the future.