Ian M Adelstein

Yale University

Research

This summer I am co-organizing a workshop on Filling Volumes, Geodesics, and Intrinsic Flat Convergence with Christina Sormani at Yale.

I work in geometric analysis and global differential geometry. My research concentrates in two main areas: closed geodesics and the spectrum of the Laplacian. In spectral geometry I study the leaf-invariant spectrum on foliated manifolds. In regard to closed geodesics, I study existence and characterization problems through variational methods.

Here is my arxiv page.

Here is my CV.

Undergraduate Research

The study of closed geodesics is super accessible to undergraduate students, especially when considered on flat surfaces or as billiard paths on doubled polygons. I have led a number of undergraduate research projects, and am the director of the SUMRY 2019 program at Yale. Here are a few papers appropriate for an undergraduate student:

Closed geodesics on doubled polygons

Reframing the Pythagorean theorem (slides)

Teaching

I am a passionate educator and create an engaging and inclusive classroom when I teach. I employ active pedagogy and have a dynamic teaching style that is adaptable to diverse students, classrooms, and material. I've enjoyed teaching across the undergraduate mathematics curriculum, and have a strong belief that when math is taught in an engaging and supportive environment every student is capable of learning and success.

If you are a student, please stop by my office DL 419 anytime; if you are an educator, I am always excited to chat about teaching.