Publications

  1. One-ended spanning subforests and treeability of groups with C.T. Conley, D. Gaboriau, and A.S. Marks, Submitted. arXiv
  2. Borel asymptotic dimension and hyperfinite equivalence relations with C.T. Conley, S. Jackson, A.S. Marks, and B. Seward. Submitted. arXiv
  3. Dynamical alternating groups, stability, property Gamma, and inner amenability, with D. Kerr. To appear, Annales Scientifiques de l’Ecole Normale Superieure arXiv
  4. CAT(0) cube complexes and inner amenability, with B. Duchesne and P. Wesolek. To appear, Groups, Geometry, and Dynamics. arXiv
  5. Groupds with infinite FC-radical have the Schmidt property with Y. Kida. To appear, Ergodic Theory and Dynam. Systems. arXiv
  6. Cost of inner amenable groupoids, with K. Wrobel. To appear, Proceedings of the AMS arXiv
  7. Inner amenable groupoids and central sequences, with Y. Kida. Forum of Mathematics, Sigma, (2020), vol 8, e29. doi:10.1017/fms.2020.15 arXiv
  8. A new lattice invariant for lattices in totally disconnected locally compact groups, with B. Duchesne and P. Wesolek. Israel J. of Math. 240.2 (2020): 539-565 arXiv
  9. Superrigidity, measure equivalence, and weak Pinsker entropy, with L. Bowen. Submitted. arXiv
  10. Invariant means and the structure of inner amenable groups. Duke Mathematical Journal 169.13 (2020): 2571-2628. arXiv
  11. Hyperfiniteness and Borel combinatorics, with C. Conley, S. Jackson, A. Marks, and B. Seward. J. Eur. Math. Soc. 22.3 (2019):877-892. arXiv
  12. Cocycle superrigidity for translation actions of product groups, with D. Gaboriau and A. Ioana. Amer. J. Math., 141, no. 5 (2019): 1347-1374. arXiv
  13. Folner tilings for actions of amenable groups, with C. Conley, S. Jackson, D. Kerr, A. Marks, and B. Seward. Math. Ann. 371, no. 1-2 (2018): 663-683. arXiv
  14. The space of stable weak equivalence classes of measure preserving actions, with L. Bowen. Journal of Functional Analysis, 274.11 (2018) 3170-3196 arXiv
  15. Weak containment rigidity for distal actions, with A. Ioana. Adv. in Math., 302 (2016), 309-322. arXiv
  16. Approximations of standard equivalence relations and Bernoulli percolation at p_u, with D. Gaboriau. C.R. Math. Acad. Sci. Paris, 354.11 (2016), 1114-1118. arXiv
  17. Brooks’s Theorem for measurable colorings, with C. Conley and A. Marks. Forum of Mathematics, Sigma. vol. 4 (2016). arXiv
  18. Borel structurability on the 2-shift of a countable group, with B. Seward. Ann. Pure Appl. Logic, 167 (2016), no. 1, 121. arXiv
  19. Invariant random subgroups of inductive limits of finite alternating groups, with S. Thomas. Journal of Algebra, 503 (2018) 474-533. pdf
  20. Invariant random subgroups of strictly diagonal limits of finite symmetric groups, with S. Thomas. Bull. London Math. Soc. 46 (2014), no. 5, 1007-1020. arXiv
  21. Mixing actions of countable groups are almost free, Proc. Amer. Math. Soc. 143 (2015), no. 12, 5227-5232. arXiv
  22. Weak equivalence and non-classifiability of measure preserving actions, Erg. Theory Dyn. Syst., 35 (2015), 293-336. arXiv
  23. On a co-induction question of Kechris, (with L. Bowen), Israel J. of Math. arXiv
  24. Ultraproducts of measure preserving actions and graph combinatorics, (with C. T. Conley and A. S. Kechris), Erg. Theory Dyn. Syst., 33 (2013), no. 2, 334-374. pdf
  25. The complexity of classification problems in ergodic theory, (with A. S. Kechris), Appalachian Set Theory: 2006-2012; J. Cummings and E. Schimmerling eds., London Math. Soc. Lecture Note Series, Cambridge University Press (2013). pdf