Research Interests

I study operator algebras, K-theory and coarse geometry. These areas of mathematics involve a wide variety of beautiful ideas from analysis, topology and geometry.


Publications

Each is available in several formats:
dvi
postscript
pdf
math review or other info

If you are downloading over a slow connection, be advised that some of the files, especially the postscript files, are huge.
Also the version of a paper obtained here is not necessarily the final version (that is, the one that appears in print).

K-Homology and the Index Theorem
A Note on Toeplitz Operators, written jointly with N. Higson
Relative E-Theory
Boundary Calculations in Relative E-Theory
The Wick Quantization and Asymptotic Homomorphisms
Equivariant E-Theory for C*-Algebras, written jointly with N. Higson and J. Trout
Berezin Quantization and K-Homology
Exactness and the Novikov Conjecture, written jointly with J. Kaminker
  • also available: notes from a related talk given at the Groupoid Fest '99 in Iowa City (.dvi or .ps)
  • also available: notes from a talk given at the Joint Meetings 2000 in Washington (.dvi or .ps)
Addendum to "Exactness and the Novikov Conjecture", written jointly with J. Kaminker
Boundary Calculations in E-Theory for Operators of Dirac Type
Exactness of One Relator Groups
  • also available: notes from a related talk given at the the AMS Meeting in San Francisco, Oct 2000 (.dvi or .ps (~1M))
Group C*-algebras and K-Theory, written jointly with N. Higson
  • This appeared in volume 1831 of the Springer LNM series. For the contents of the volume see Springer's web site.
Geometric and Analytic Properties of Groups, written jointly with J. Kaminker
  • This appeared in volume 1831 of the Springer LNM series. For the contents of the volume see Springer's web site.
Uniform Embeddability and Exactness of Free Products, written jointly with X. Chen, M. Dadarlat and G. Yu
Constructions Preserving Hilbert Space Uniform Embeddability of Discrete Groups, written jointly with M. Dadarlat
The Novikov Conjecture for Linear Groups, written jointly with N. Higson and S. Weinberger
  • also available: notes from a related talk given at the AMS Sectional Meeting in Bloomington, April 2003 (.dvi or .ps)
  • also available: notes from a talk given at the Clay Mathematics Institute -- Vanderbilt University Summer School on Noncommutative Geometry, May 2003 (.dvi or .ps)
Exactness and Uniform Embeddability of Discrete Groups, written jointly with J. Kaminker
Uniform embeddings of bounded geometry spaces into reflexive Banach space, written jointly with Nate Brown
Uniform embeddability of relatively hyperbolic groups, written jointly with Marius Dadarlat
Weak amenability of CAT(0) cubical groups, written jointly with Nigel Higson
Property A and CAT(0) cube complexes, written jointly with Jacek Brodzki, Sarah Campbell, Graham Niblo and Nick Wright


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