Publications

All of these except my dissertation are available on arxiv

  1. Local structure of nuclear C*-algebras, Dissertation at University of Illinois, Urbana-Champaign, 2009
  2. On OL-infinity structure of nuclear, quasidiagonal C*-algebras. J. Funct. Anal. 258 (2010), no. 1, 1-19.
  3. Perturbations of completely positive maps and strong NF algebras. Proc. Lond. Math. Soc. (3) 101 (2010), no. 3, 795-820.
  4. A Noncommutative Gauss Map, Math. Scand. 108 (2011), no. 2, 233-250.
  5. Free Products and the Lack of State Preserving Approximations of Nuclear C*-algebras, Proc. Amer. Math. Soc. 141 (2013), no. 8, 2719-2727.
  6. (w/ I. Farah, A. Toms and A. Tornquist) Appendix to The Descriptive Set Theory of C*-algebra invariants, I.M.R.N. (2013), no. 22, 5196–5226
  7. (w/ J. Carrion and M. Dadarlat) On Groups with Quasidiagonal C*-algebras. J. Funct. Anal. 265 (2013), no. 1, 135-152.
  8. Quasidiagonal Representations of Nilpotent Groups. Adv. Math 254 (2014) 15-32.
  9. A Note on strongly quasidiagonal groups. J. Operator Theory 73:2(2015), 417-424
  10. (w/ C. Kleski and P. McKenney) Classification of C*-algebras generated by representations of the unitriangular group UT(4,Z), J. Funct. Anal. 271 (2016), no. 4, 1022-1042
  11. (w/ E. Gillaspy) Irreducible representations of nilpotent groups generate classifiable C*-algebras, Münster J. Math. 9 (2016), no. 1, 253-261
  12. (w/ P. McKenney) Finitely generated nilpotent group C*-algebras have finite nuclear dimension, J. Reine Angew. Math. 738 (2018), 281-298.
  13. Free Groups and Quasidiagonality, Houston J. Math. 44 (2018), no. 4, 1241–1267.
  14. (w/ S. Raum) C*-superrigidity of 2-step nilpotent groups, Adv. Math. 338 (2018), 175–195.
  15. (w/ E. Gillaspy and P. McKenney) Finite Decomposition Rank for Virtually Nilpotent Groups, Trans. Amer. Math. Soc. 371 (2019), no. 6, 3971–3994.
  16. Appendix to A tracially AF-algebra that is not Z-absorbing by Zhuang Niu and Qingyun Wang, Münster J. Math. 14(2021), no.1, 41–57.
  17. (w/ K. Fieldhouse, D. Gent, E. Gillaspy, I. Gonzales and D. Pask) Moves on k-graphs preserving Morita equivalence, Canad. J. Math. 74 (2022), no. 3, 655–685.
  18. (w/ T. Shulman) On amenable Hilbert-Schmidt stable groups, J. Funct. Anal. 285 (2023), no. 3, Paper No. 109954, 31 pp.
  19. C*-algebras generated by representations of virtually nilpotent groups, Adv.Math. 444 (2024), Paper No. 109628.
  20. (w/ J. Wu) Nuclear dimension and virtually polycyclic groups, Adv. Math. 488 (2026), Paper No. 110768
  21. Residually finite groups that are not Hilbert-Schmidt stable, accepted to Groups, Geometry and Dynamics
  22. Corrigendum to Number 10 on this list, accepted to JFA.