My research is in set theory, operator algebras, and combinatorics.

Preprints

Finite decomposition rank for virtually nilpotent groups (with Caleb Eckhardt and Elizabeth Gillaspy). arXiv:1706.04142.

Density of monochromatic infinite subgraphs (with Louis DeBiasio). arXiv:1611.05423.

Reduced products of UHF algebras under forcing axioms. arXiv:1303.5037.

Publications

Ulam stability for some classes of C*-algebras (with Alessandro Vignati). arXiv:1601.05445.
Proceedings of the Royal Society of Edinburgh Section A, to appear.

Homeomorphisms of Cech-Stone remainders: the zero-dimensional case (with Ilijas Farah). arXiv:1211.4765.
Proceedings of the American Mathematical Society, to appear.

Finitely-generated nilpotent group C*-algebras have finite nuclear dimension (with Caleb Eckhardt). arXiv:1409.4056.
Journal für die reine und angewandte Mathematik, to appear.

Classification of C*-algebras generated by representations of the unitriangular group UT(4,Z) (with Caleb Eckhardt and Craig Kleski). arXiv:1506.01272.
Journal of Functional Analysis, 271 (2016), no. 4, 1022–1042.

Automorphisms of P(lambda)/I_kappa (with Paul Larson). arXiv:1506.03433.
Fundamenta Mathematicae 233 (2016), no. 3, 271-291.

Some Calkin algebras have outer automorphisms (with Ilijas Farah and Ernest Schimmerling). arXiv:1211.4134.
Archive for Mathematical Logic 52 (2013) 517-524.