I graduated in 2007 with a mathematics degree and have since had multiple postdocs at R1 universities. While I have definitely enjoyed my experiences as a researcher, I am very interested in pursuing a career teaching at a small liberal arts institution.
So, my question is how to present my research-heavy resume in a way that is palatable to a college which may be wary of my credentials? Is it advisable to drop "invited talks/conferences" from my CV? Do I select only my favorite publications to include?
Also, I understand that it is inappropriate to give an overly detailed research statement. However, as a representation theorist, I think it is to my advantage that my research draws on a lot of different fields. Is it better to explain the broader relevance of my research, or do I ignore that in favor of what I can teach undergraduates to program on a computer? Does it make sense to write separate statements?