Metric pinching of locally symmetric spaces. Metric curvature, convergence, and topological finiteness. A metric characterization of manifolds with boundary. Almost Riemannian spaces. J. Differential Geom.
Students often wonder what sort of research mathematicians do, and why they do it.
Geometry, my field of research, has applications, for example in physics, engineering, and computer imaging, but I am generally not directly involved in finding such applications. On the other hand, research and teaching are linked, and can strongly complement one another. Even at the level of calculus, the content of which is hardly affected by current mathematical research, I believe that my involvement in research makes a positive contribution to my teaching. I am sure that I could not be an effective calculus teacher if my mind were not engaged in mathematical problems that are as fresh and challenging for me as calculus is for my calculus students. Teaching I enjoy teaching a wide variety of classes at all levels from calculus on up.