# Publications

All my preprints on the ArXiv.

## Preprints

- Sums of regular self-adjoint operators in Hilbert C*-modules, (with M. Lesch), arXiv: 1803.08295
- Hecke operators in KK-theory and the K-homology of Bianchi groups, (with M. H. Sengun), arXiv:1610.06808
- Boundaries, spectral triples and K-homology (with I. Forsyth, M. Goffeng and A. Rennie), arXiv:1607.07143

## Journal articles

- Hecke modules for arithmetic groups via bivariant K-theory (with M.H. Sengun), to appear in Ann. K-theory , arXiv:1710.00331.
- Operator *-correspondences in analysis and geometry (with D. Blecher and J. Kaad) to appear in Proc. Lond. Math. Soc.
- Wieler solenoids, Cuntz-Pimsner algebras and K-theory (with R.J. Deeley, M.Goffeng and M. F. Whittaker) to appear in Ergodic Th. Dynam. Sys.
- Shift tail equivalence and an unbounded representative of the Cuntz-Pimsner extension (with M.Goffeng and A. Rennie), Ergodic Th. Dynam. Sys. Vol. 38, Issue 4,1389-1421.
- The bordism group of unbounded KK-cycles (with R.J. Deeley and M. Goffeng), J. Topol. Anal. Vol. 10 No.2 (2018) 355-400.
- Nonunital spectral triples and metric completeness in unbounded KK-theory (with A. Rennie), J. Funct. An. Volume 271 (2016), Issue 9, 2460–2538.
- Gauge Theory for spectral triples and the unbounded Kasparov product (with S. Brain and W.D. van Suijlekom), J. Noncommut. Geom. 10 (2016), 135-206.
- Spectral triples and finite summability for Cuntz-Krieger algebras (with M. Goffeng), Documenta Math. 20 (2015), 89--170.
- Dense domains, symmetric operators and spectral triples (with I. Forsyth and A. Rennie), New York J. Math. 20 (2014), 1001--1020.
- Unbounded bivariant K-theory and correspondences in noncommutative geometry, J. Reine Angew. Math. 69 (2014), 101--172 (published online September 2012).
- Groupoid cocycles and K-theory, Munster J. of Math. 4 (2011), 233--256.

## Refereed conference proceedings

- Spectral triples on O_N (with M.Goffeng), 2016 Matrix Annals, "Refining C*-algebraic invariants for dynamics using KK-theory".
- Spectral triples and KK-theory, a survey Clay Math. Proceedings 16, "Topics in Noncommutative Geometry"(2012), 197--213.