TITLE: Research in plane geometry or euclidean geometry
QUESTION [13 upvotes]: I was doing good at school in plane geometry and trigonometry - especially in geometric proofs like proving the equality of two line segments or two angles - more than I was doing in analytic geometry.
I am considering doing research in mathematics to be my career (and my life) someday. and I am wondering about the most interesting research area for me.
What I am asking about is :

Is there still open research fields in plane geometry or Euclidean geometry? Or this area is considered to be fundamentals that are already investigated enough?

Thank you!

REPLY [8 votes]: You can find many papers about recent work in advanced "classical" Euclidean geometry at this site:  http://forumgeom.fau.edu/