Published Papers:
Preprints:
- Not all finitely generated groups have universal acylindrical actions. Proc. Amer. Math. Soc., 144(10):4151–4155, 2016, pdf.
- (with F. Dahmani) Acylindrically hyperbolic groups have property P_naive. arXiv:1610.04143. Math. Z., 291(1-2):555-568, 2019.
- (with S. Balasubramanya and D. Osin) Hyperbolic structures on groups. arXiv:1710.05197. Algebr. Geom. Topol., 19-4, 1747-1835, 2019.
- (with D. Hume and D. Osin) Extending group actions on metric spaces. arXiv:1703.03010. J. Topol. Anal., 12(3): 625--665, 2020, pdf.
- (with D. Hume) The geometry of generalized loxodromic elements. arXiv:1802.03089. Ann. I. Fourier (Grenoble), 70(4): 1689--1713, 2020.
- (with J. Behrstock and M. Durham) Largest acylindrical actions and stability in hierarchically hyperbolic groups, with an appendix by Daniel Berlyne and Jacob Russell. arXiv:1705.06219. Trans. Amer. Math. Soc. Ser. B, 8: 66--104, 2021
- (with D. Hume) Actions of small cancellation groups on hyperbolic spaces. arXiv:1807.10524. Geom. Dedicata, 212(1), 325--363, 2021.
- (with M. Hull) Random walks and quasi-convexity in acylindrically hyperbolic groups. arXiv:1909.10876. J. Topol. 14(3): 992--1026, 2023.
- (with J. Behrstock) Conjugator lengths in hierarchically hyperbolic groups. arXiv:1808.09604. Groups Geom. Dyn. 17(3): 805--838, 2023.
- (with A. Rasmussen) Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. arXiv:1906.04227. Algebra. Geom. Topol., 23(4): 1641--1692, 2023.
- (with T. Ng and D. Spriano) Uniform exponential growth in hierarchically hyperbolic groups. arXiv:1909.00439. To appear in Math. Z.
- (with A. Rasmussen) Largest hyperbolic actions and quasi-parabolic actions of groups. arXiv:1910.14157. To appear in J. Topol. Anal.
- (with J. Manning) Acylindrically hyperbolic groups and their quasi-isometrically embedded subgroups, arXiv:2105.02333. To appear in Mich. Math. J.
- (with S. Balasubramanya and A. Rasmussen) Higher rank confining subsets and hyperbolic actions of solvable groups. arxiv:2108.08175. Adv. Math. 424, Paper No. 109045, 47pp, 2023.
- (with Behrstock, J. and Russell, J.) Structure invariant properties of the hierarchically hyperbolic boundary. To appear in J. Topol. Anal. arXiv:2208.07930
- (with Behrstock, J. and Russell, J.) Relative hyperbolicity, thickness, and the hierarchically hyperbolic boundary. arXiv:2305.16906. To appear in Mich. Math. J.
- (with S. Balasubramanya and A. Rasmussen) Valuations, completions, and hyperbolic actions of metabelian groups. arxiv.org/abs/2207.12945. J. Lon. Math. Soc. (2) 109 (2024) no. 6, Paper No. e12916, 72pp.
- (with H. T. Nguyen and A. Rasmussen) Largest hyperbolic actions of 3--manifold groups. arXiv:2305.07425. Bull. Load. Math. Soc. 56 (2024), no. 10, 3090--3133.
- (with N. Miller and P. Patel) Infinite-type loxodromic isometries of the relative arc graph. arXiv:2109.06106. Algebr. Geom. Topol., 25-1 (2025), 563--644.
- (with E. Martinez-Pedroza) "The quasi-isometry invariance of the coset intersection complex." arxiv:2404.16628. To appear in Algebr. Geom. Topol.
Preprints:
- (with H. Hoganson, M. Loving, P. Patel, and R. Skipper) A new construction of subgroups big mapping class groups. arXiv: 2109.05976
- (with N. Miller and P. Patel) Shift maps are not type-preserving. arXiv:2212.09156
- (with M. Incerti-Medici) Hyperbolic projections and topological invariance of sublinear Morse boundaries. arXiv:2212.09539
- (with M. Hagen, H. Petyt, and A. Zalloum) Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups. arXiv:2305.097
- (with A. Genevois and E. Martinez-Pedroza) "Homotopy types of complexes of hyperplanes in quasi-median graphs and applications to right-angled Artin groups." arxiv:2503.08411
- (with S. Zbinden) "A non-loxodromic Morse element in a Morse local-to-global group." arxiv:2502.21176