Mathematical Interests: Geometry, particularly the question "where do we go after HS geometry?"The integration of HS geometry and HS algebra. Calculus.

I am a differential geometer, which means my work combines aspects of good old Euclidean geometry with calculus. I have taught in the PROMYS program at BU for all but one of its fifteen years, so I have a lot of experience dealing with gifted HS students and motivated HS math teachers. I have some limited but very intense experience with HS students who are not highly self-motivated in math -- my two kids. I am interested in seeing how to deepen the HS geometry curriculum, to explore where geometry goes after standard Euclidean geometry (but without using calculus). I am simultaneously interested in seeing how to broaden the HS geometry curriculum, to explore in particular the connections between the HS geometry and algebra curricula. While there are millions of topics to explore, I am very interested in working with HS teachers to understand which will work in the classroom. My goal is to combine my limited expertise in geometry with the teachers' expertise in the classroom to produce some meaningful geometry topics that all of us -- students and teachers -- can investigate in an intellectually challenging way.