About Me: I am currently an NSF Postdoctoral Fellow at Columbia University. Last year I was a NSF Postdoctoral Fellow at UC Berkeley, and the previous year I was a Morrey Visiting Assistant Professor, also at UC Berkeley. I received my Ph.D. from the University of Wisconsin-Madison in 2017, where I studied geometric group theory under the supervision of Tullia Dymarz.
Here is a copy of my CV (updated November 2019).
Research interests: I study geometric group theory and low-dimensional topology. In particular, I am interested in group actions by isometries on hyperbolic spaces, especially acylindrical actions. The kinds of groups I think about include hyperbolic and relatively hyperbolic groups, mapping class groups, Out(F_n), CAT(0) groups, three manifold groups, hierarchically hyperbolic groups, and many more.
Papers:
Here is a copy of my CV (updated November 2019).
Research interests: I study geometric group theory and low-dimensional topology. In particular, I am interested in group actions by isometries on hyperbolic spaces, especially acylindrical actions. The kinds of groups I think about include hyperbolic and relatively hyperbolic groups, mapping class groups, Out(F_n), CAT(0) groups, three manifold groups, hierarchically hyperbolic groups, and many more.
Papers:
- 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. To appear in J. Topol. Anal.
- (with D. Hume) The geometry of generalized loxodromic elements. arXiv:1802.03089. To appear in Ann. I. Fourier.
- (with J. Behrstock and M. Durham) Largest acylindrical actions and stability in hierarchically hyperbolic groups.
arXiv:1705.06219. To appear in Trans. Amer. Math. Soc. - (with D. Hume) Actions of small cancellation groups on hyperbolic spaces. arXiv:1807.10524. To appear in Geom. Dedicata
- (with J. Behrstock) Conjugator lengths in hierarchically hyperbolic groups. arXiv:1808.09604.
- (with A. Rasmussen) Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. arXiv:1906.04227
- (with M. Hull) Random walks and quasi-convexity in acylindrically hyperbolic groups. arXiv:1909.10876
- (with T. Ng and D. Spriano) Uniform exponential growth in hierarchically hyperbolic groups. arxiv.org/abs/1909.00439
- (with J. Manning) Boundaries of coned-off hyperbolic spaces, arXiv:1906.09319.
- (with A. Rasmussen) Largest hyperbolic actions and quasi-parabolic actions of groups. arXiv:1910.14157.
- (with N. Miller and P. Patel) Big mapping class groups and quasi-morphisms. In preparation.