Research

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.

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.

 

 

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