Publications

Tracially complete C*-algebras, with Carrión, Castillejos, Evington, Gabe, Schafhauser and Tikuisis. arXiv:2310.20594

Classifying *-homomorphisms I: unital simple nuclear C*-algebras,
with Carrión, Gabe, Schafhauser and Tikuisis.  arXiv:2307.06480

Abstract classification theorems for amenable C*-algebras,
Proceedings of the ICM, 2022, Vol 4, 3314-3338, EMS Press, 2023.

Uniform Property Gamma
with Castillejos, Evington, Tikuisis.
IMRN., no 13, 9864--9908, 2022. arXiv:1912.04207

Nuclear dimension of O-∞-stable C*-algebras
with Bosa, Gabe, Sims.
Adv. Math.,  401, 108250,  2022.  arXiv:1906.02068

Classifying maps into uniform tracial sequence algebras
with Castillejos, Evington, Tikuisis.
Münster J. Math., 14(2), 265--281, 2021. arXiv:2006.04485

Nuclear dimension of simple C*-algebras
with Castillejos, Evington, Tikuisis, Winter.
Invent. Math.  224(1), 245-290, 2021.  arXiv:1901.05853

Cartan subalgebras in uniform Roe algebras
with Willett.
Groups Geom. Dyn. 14(3), 949-989, 2020. arXiv:1808.04410

The Cuntz-Toeplitz algebras have nuclear dimension one
with Easo, Garijo, Kaubrys, Nkansah, Varbec, Watt, and Wilson;
and with Bönicke, Evington, Forough, Girón Pacheo, Seaton, Whittaker, Zacharias.
J. Funct. Anal., 279(7), 108690 (14 pages), 2020.  arXiv:2003.06314

Covering dimension of C*-algebras and 2-coloured classification
with Bosa, Brown, Sato, Tikuisis, and Winter.
Mem. Amer. Math. Soc., 257(1233), 2019.  arXiv:1506.03974

Decomposable approximations revisited
with Brown, and Carrión.
In Operator algebras and applications --- the Abel Symposium 2015.
Abel Symp., 12, 45-65, Springer, 2017.  arXiv:1602.00021

Structural properties of close II_1 factors
with Cameron, Christensen, Sinclair, Smith, and Wiggins.
Münster J. Math, 10(1), 19-37, 2017. arXiv:1604.05684

Quasidiagonality of nuclear C*-algebras
with Tikuisis and Winter.
Annals of Math. (2). 185(1), 229-284, 2017.  arXiv:1509.08318.

The Haagerup property for locally compact quantum groups
with Daws, Fima and Skalski
J. Reine Angew. Math. 711, 189-229, 2016. arXiv:1303.3261

Nuclear dimension and Z-stability
with Sato and Winter
Invent. Math., 202(2), 893-921, 2015.  arXiv:1403.0747

Z-stability and finite dimensional tracial boundaries
with Toms and Winter
IMRN. No 10, 2702-2727, 2015.  arXiv:1209.3292

Kadison-Kastler stable factors
with Cameron, Christensen, Sinclair, Smith and Wiggins
Duke J. Math. 163(14), 2639-2686, 2014.  arXiv:1209.4116

The Cuntz semigroup and stability of close C*-algebras
with Perera, Toms and Winter.
Anal. PDE., 7(4), 929-952, 2014. arXiv:1210.4533

On spectral triples on crossed products arising from equicontinuous actions
with Hawkins, Skalski and Zacharias.
Math. Scand., 113(2), 262-291, 2013. arXiv:1103.6199

A remark on the similarity and perturbation problems
with Cameron, Christensen, Sinclair, Smith and Wiggins
C. R. Math. Acad. Sci. Soc. R. Can. 35(2), 70-76, 2013.  arXiv:1206.5405

Groupoid normalisers of tensor products: infinite von Neuamnn algebras
with Fang, Smith and Wiggins
J. Operator Theory.  69(2), 545-570, 2013. arXiv:1004.0851

C*-algebras nearly contained in type I algebras
with Christensen, Sinclair and Smith
Canad. J. Math., 65(1), 52-65, 2013.  arXiv:1107.1983

Type II_1 factors satisfying the spatial isomorphism conjecture
with Cameron, Christensen, Sinclair, Smith and Wiggins
PNAS 109(50), 20338-20343, 2012. arXiv:1211.6963

Shift invariant preduals of  l_1(Z)
with Daws, Haydon and Schulmprecht ssdfsdf
Israel.  J. Math., 192(2), 541-585. 2012.  arXiv:1101.5696 

Decomposable approximations of nuclear C*-algebras
with Hirshberg and Kirchberg
Adv. Math., 230(3), 1029-1039, arXiv:1109.2379

Perturbations of  nuclear C*-algebras
with Christensen, Sinclair, Smith and Winter
Acta. Math., 208(1), 93-150. arXiv:0910.4953 

The radial masa in a free group factor is maximal injective
with Cameron, Fang and Ravichandran
J. London. Math. Soc., 82(3), 787-809, 2010.  arXiv:0810.3906

Perturbations of C*-algebraic invariants
with Christensen, Sinclair and Smith
GAFA. 20(2), 368-397, 2010. arXiv:0910.1368

The spatial isomorphism problem for close separable nuclear C*-algebras
with Christensen, Sinclair, Smith and Winter
PNAS. 107(2), 587-591, 2010.

Preduals of semigroup algebras
with Daws and Le Pham.
Semigroup Forum, 80(1), 61-78, 2010.  arXiv:0811.3987

Groupoid normalizers of tensor products
with Fang, Smith and Wiggins
J. Funct. Anal., 258(1), 20-49, 2010.  arXiv:0810.0252

Normalizers of irreducible subfactors
with Smith and Wiggins
J. Math. Anal. Appl. 352(2), 684-695, 2009. arXiv:0705.0183

Conditions implying the uniqueness of the weak*-topology on certain group algebras
with Daws and Le Pham.
Houston. J. Math., 35(1), 253-276, 2009. arXiv:0804.3764

Generators of II_1 factors
with Dykema, Sinclair and Smith
Operators and Matrices, 2(4), 555-582, 2008. arXiv:0706.1953

Values of the Pukánsky invariant in McDuff factors
J. Funct. Anal., 254(3), 612-631, 2008. arXiv:0706.1953

Strong singularity of singular masas in II_1 factors
with Sinclair, Smith and Wiggins
Illinois J. Math., 51(4), 1077-1084, 2007. arXiv:math/0601594

Semi-regular masas of transfinite length
with Wiggins
Internat. J. Math., 18(9), 995-1007, 2007.  arXiv:math/0611615

Covering Polygonal Annuli by strips
with Wisewell
Discrete Comput. Geom. 37(4), 577-585, 2007. 

A continuous path of singular masas in the hyperfinite II_1 factor
with Sinclair
J. London Math. Soc. 75(1), 243-254, 2007.  arXiv:math/0602155

Tauer masas in the hyperfinite II_1 factor
Q. J. Math., 57(3), 377-393, 2006.