Publications

  1. Measurable splittings and the measured group theoretic structure of wreath products, with K. Wrobel, preprint. arXiv
  2. Asymptotic dynamics on amenable groups and van der Corput sets, with S. Farhangi, preprint. arXiv
  3. About discrete subgroups of full groups of measure preserving equivalence relations, with V. Alekseev, A. Carderi, A. Thom, preprint. arXiv
  4. One-ended spanning subforests and treeability of groups, with C.T. Conley, D. Gaboriau, and A.S. Marks, Submitted. arXiv
  5. Borel asymptotic dimension and hyperfinite equivalence relations, with C.T. Conley, S. Jackson, A.S. Marks, and B. Seward. Duke Math. J.172(2023), no.16, 3175–3226. arXiv
  6. Dynamical alternating groups, stability, property Gamma, and inner amenability, with D. Kerr. To appear, Annales Scientifiques de l’Ecole Normale Superieure arXiv
  7. CAT(0) cube complexes and inner amenability, with B. Duchesne and P. Wesolek. Groups Geom. Dyn.15(2021), no.2, 371–411. arXiv
  8. Groups with infinite FC-center have the Schmidt property, with Y. Kida. Ergodic Theory Dynam. Systems 42 (2022), no. 5, 1662–1707. arXiv
  9. Cost of inner amenable groupoids, with K. Wrobel. Proc. Amer. Math. Soc.149(2021), no.10, 4303–4315. arXiv
  10. Inner amenable groupoids and central sequences, with Y. Kida. Forum Math. Sigma 8 (2020), Paper No. e29, 84 pp. arXiv
  11. 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
  12. Superrigidity, measure equivalence, and weak Pinsker entropy, with L. Bowen. Groups Geom. Dyn.16(2022), no.1, 247–286. arXiv
  13. Invariant means and the structure of inner amenable groups. Duke Math. J. 169.13 (2020): 2571-2628. arXiv
  14. Hyperfiniteness and Borel combinatorics, with C. Conley, S. Jackson, A. Marks, and B. Seward. J. Eur. Math. Soc. 22.3 (2019):877-892. arXiv
  15. Cocycle superrigidity for translation actions of product groups, with D. Gaboriau and A. Ioana. Amer. J. Math., 141, no. 5 (2019): 1347-1374. arXiv
  16. 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
  17. The space of stable weak equivalence classes of measure preserving actions, with L. Bowen. J. Funct. Anal.274(2018), no.11, 3170–3196. arXiv
  18. Weak containment rigidity for distal actions, with A. Ioana. Adv. in Math., 302 (2016), 309-322. arXiv
  19. 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
  20. Brooks’s Theorem for measurable colorings, with C. Conley and A. Marks. Forum Math. Sigma 4 (2016), Paper No. e16, 23 pp. arXiv
  21. Borel structurability on the 2-shift of a countable group, with B. Seward. Ann. Pure Appl. Logic, 167 (2016), no. 1, 121. arXiv
  22. Invariant random subgroups of inductive limits of finite alternating groups, with S. Thomas. Journal of Algebra, 503 (2018) 474-533. pdf
  23. 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
  24. Mixing actions of countable groups are almost free, Proc. Amer. Math. Soc. 143 (2015), no. 12, 5227-5232. arXiv
  25. Weak equivalence and non-classifiability of measure preserving actions, Erg. Theory Dyn. Syst., 35 (2015), 293-336. arXiv
  26. On a co-induction question of Kechris, with L. Bowen. Israel J. Math.194(2013), no.1, 209–224. arXiv
  27. 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
  28. 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