Publications

1. Convex cocompactness and stability in mapping class groups. (with Samuel Taylor) 

   • Algebraic & Geometric Topology 15-5 (2015), 2837--2857. (published version, arXiv version)

2. The augmented marking complex of a surface. 

   • Journal of the London Mathematical Society (2016) 94 (3): 933-969. (published version, arXiv version)

3. Elliptic actions on Teichmüller space. 

   • Groups, Geometry, and Dynamics 13-2 (2019); 415-465. (published version, arXiv version)

4. Boundaries and automorphisms of hierarchically hyperbolic spaces. (with Mark Hagen and Alessandro Sisto)

   • Geometry & Topology 21 (2017) 3659–3758. (published version, arXiv version)

   • Corrigendum to "Boundaries and automorphisms of hierarchically hyperbolic spaces" (with  Mark Hagen and Alessandro Sisto)

     • Geometry & Topology 24 (2020) 1051–1073

5. Boundary convex cocompactness and stability of subgroups of finitely generated groups. (with Matthew Cordes) 

   •  International Mathematics Research Notices, 2019.6 (2019): 1699-1724. (published version, arXiv version)

6. Middle recurrence and pulling back subgroup stability. (with Tarik Aougab and Samuel Taylor) 

   • Journal of the London Mathematical Society (2017), no. 3, 565-583. (published version, arXiv version)

7. Graphs of curves of infinite type surfaces with mapping class group actions. (with Federica Fanoni and Nicholas Vlamis)

   • Ann. Inst. Fourier 68 (2018), no. 6, 2581–2612. (published version, arXiv version)

8. Largest acylindrical actions and stability in hierarchically hyperbolic groups. (with Carolyn Abbott and Jason Behrstock)

   • with an appendix by Jacob Russell and Dan Berlyne

   • Transactions of the American Mathematical Society, Ser. B, 8: 66--104, 2021 (arXiv version)

9. Stable cubulations, bicombings and barycenters. (with Yair N. Minsky and Alessandro Sisto)

   • Geometry & Topology 27 (2023) 2383–2478. (arXiv version)

10. Extensions of Veech groups, I: A hyperbolic action. (with Spencer Dowdall, Christopher J. Leininger, and Alessandro Sisto)

    • To appear in the Journal of Topology; 1-43. (arXiv version)

11. Extensions of Veech groups, II: Hierarchical hyperbolicity and quasiisometric rigidity. (with Spencer Dowdall, Christopher J. Leininger, and Alessandro Sisto)

    • To appear in Commentarii Mathematici Helvetici; 1-57. (arXiv version)

Preprints

1. Bicombing the mapping class group via stable cubical intervals

   • Preprint 1-64.

   • This is a preliminary draft of a mostly expository paper that I wrote for the proceedings of the 2023 Riverside Workshop in Geometric Group Theory.  I'll be posting a finalized version to the arXiv after the editorial process is complete.

2. Cubulating infinity in hierarchically hyperbolic spaces.

   • Preprint 1-116. (arXiv version)

3. The geometry of genericity in mapping class groups and Teichmüller space via CAT(0) cube complexes. (with Abdul Zalloum)

   • Preprint 1-58. (arXiv version)

4. The asymptotic geometry of the Teichmüller metric: Dimension and rank.

1. • Preprint 1-16. (arXiv version)

Collaborators:

Carolyn Abbott, Tarik Aougab, Jason Behrstock, Matthew Cordes, Spencer Dowdall, Federica Fanoni,  Anna Gilbert, Daniel Groves, Mark Hagen, Christopher J. Leininger, Yair N. Minsky, Alessandro Sisto, Rishi Sonthalia, Samuel Taylor, Nicholas Vlamis, Abdul Zalloum.

Videos:

1. A new boundary for the mapping class group.  Geometry of mapping class groups and Out(F_n) at MSRI, 10/28/2016.  Video.

2. Boundaries and geometrically finite subgroups of hierarchically hyperbolic groups.  Beyond Hyperbolicity at Cambridge, 6/24/2016. Video 1, Video 2.

3. Convex cocompactness in finitely generated groups. UIUC GEAR seminar, 5/2/1017. Video.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.