My mathematical research has centered around the Atiyah-Singer index theorem and its generalizations. I have been particularly interested in index theorems whose value groups are derived from coarse geometry. C*-algebras and their K-theory provide the main technical tools.

- List of publications (This is auto-generated from my Zotero database, via a collection of macros and scripts. Let me know of anything that doesn’t seem right here.)
- Blog items in category “publications”
- Blog items in category “talks”

Studying the index theorem led me to learn about the topology of high-dimensional manifolds, sometimes called “surgery theory”. I am blogging about this at

I am on the editorial boards of a couple of journals. High quality papers are welcome! Feel free to contact me directly about submissions.