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

## Preprints

Forcing axioms and coronas of nuclear C*-algebras (with Alessandro Vignati). arXiv:1806.09676.

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

## Publications

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

To appear in Combinatorica.

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

To appear in Transactions of the American Mathematical Society.

Ulam stability for some classes of C*-algebras (with Alessandro Vignati). arXiv:1601.05445.

To appear in Proceedings of the Royal Society of Edinburgh Section A.

Finitely-generated nilpotent group C*-algebras have finite nuclear dimension (with
Caleb Eckhardt). arXiv:1409.4056.

Journal für die reine und angewandte Mathematik 738 (2018), 281-298.

Homeomorphisms of Cech-Stone remainders: the zero-dimensional case (with Ilijas
Farah). arXiv:1211.4765.

Proceedings of the American Mathematical Society **146** (2018), 2253-2262.

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.

## Recent talks

*Asymptotic density of monochromatic subgraphs*, 30th Cumberland
conference on combinatorics, graph theory, and computing. (May 2018)

*The Katowice problem and automorphisms of omega_1^**, University of
Pittsburgh topology mini-meeting. (May 2018)

*Rigidity of corona algebras*, OHIO (Operators on Hilbert spaces In
Ohio) meeting. (April 2018)

*Automorphisms of corona algebras*, Logic and operator algebras session,
Winter CMS meeting. (December 2017)

*Asymptotic density of monochromatic subgraphs*, Discrete mathematics seminar,
Notre Dame University. (November 2017)

*Set theory and automorphisms of corona algebras*, colloquium, University
of Dayton. (November 2017)

*Asymptotic density of monochromatic subgraphs*, MIGHTY LVIII, Grand Valley
State University. (October 2017)

*Set theory and automorphisms of corona algebras*, Operator algebra
seminar, Purdue University. (September 2017)

*Rigidity and nonrigidity of corona algebras*, 6th European set theory
conference, Alfred Renyi Institute. (July 2017)

*Rigidity and nonrigidity of corona algebras*, SUMTOPO, University of
Dayton. (June 2017)

*Rigidity and nonrigidity of corona algebras*, NCGOA, Vanderbilt
University. (May 2017)

*Automorphisms of P(lambda)/I_kappa*, TOPOSYM, Prague. (July 2016)

*Automorphisms of P(lambda)/I_kappa*, Boise Extravaganza in Set
Theory, San Diego University. (June 2016)

*Automorphisms of P(lambda)/I_kappa*, 50th Spring Topology and
Dynamics Conference, Baylor University. (March 2016)