My research does not involve medical surgery but the study of spaces of dimension 5 or larger. Surgery is a mathematical tool that rips spaces apart and glues them back together in a different way than before. With this machinery, topologists are able to understand topological objects and even identify the existence of spaces that we do not even know how to construct explicitly. Surgery theory arises as the combined effort of hundreds of mathematicians over six or seven decades. Recently I co-authored a research monograph on surgery theory which will be published by Princeton University Press.