Papers and Preprints

  1. On a Theorem of Peter Scott. Proc. Amer. Math. Soc. 142 (2014) pp 2891-2906.
  2. Residual Finiteness Growths of Virtually Special Groups. Math. Z. 279 (2015), no. 1-2, pp 297-310. (with K. Bou-Rabee and M.F. Hagen)
  3. On the Residual Finiteness Growths of Particular Hyperbolic Manifold Groups. Geom Dedicata. 185 (2016) Issue 1, pp 87-103.
  4. Quantifying separability in virtually special groups. Pacific J. Math. 284-1 (2016), pp 103-120. (with M.F. Hagen)
  5. Zariski closures and Subgroup Separability. Selecta Math. 23 (2017) Issue 3, pp 2019-2027. (with L. Louder and D.B. McReynolds)
  6. Building hyperbolic metrics suited to closed curves and applications to lifting simply. Math. Res. Lett. 24 (2017), no. 3, pp 593-617. (with T. Aougab, J. Gaster, and J. Sapir)
  7. Algebraic and topological properties of big mapping class groups. Algebr. Geom. Topol. 18-7 (2018), 4109-4142. (with N. Vlamis)
  8. The first integral cohomology of pure mapping class groups. ​Int. Math. Res. Notices. 2020-22 (2020), 8973-8996.​ (with J. Aramayona and N. Vlamis)
  9. Effective virtual and residual properties of some arithmetic hyperbolic 3-manfiolds. Trans. Amer. Math. Soc. 373 (2020), no. 11, 8219-8257. (with J. Deblois and N. Miller)
  10. ​Covers of surfaces, Kleinian groups, and the curve complex. ​J. Topol. 2022;15:1833-1863. (with T. Aougab and S. Taylor)
  11. Isometry groups of infinite-genus hyperbolic surfaces. Math. Ann. 381(1) 459-498 (2021). (with T. Aougab and N. Vlamis)
  12. Free products from spinning and rotating families. Enseign. Math. (with M. Bestvina, R. Dickmann, G. Domat, S. Kwak, and E. Stark)
  13. Stable Commutator Length on Big Mapping Class Groups. Bull. London Math. Soc. 54, 2492-2512.  (with E. Field and A. Rasmussen)
  14. Infinite-type loxodromic isometries of the relative arc graph. (with C. Abbott and N. Miller)
  15. Finding and combining indicable subgroups of big mapping class groups. (with C. Abbott, H. Hoganson, M. Loving, and R. Skipper)
  16. ​Thurston's Theorem: Entropy in Dimension One. Math. Res. Lett. (with R. Dickmann, G. Domat, T. Hill, S. Kwak, C. Ospina, and R. Rechkin)
  17. Constructing endperiodic loxodromics of infinite-type arc graphs. (with S. Taylor)
  18. Shift maps are not type-preserving. (with C. Abbott and N. Miller)

Here is an open problem list on infinite-type surfaces (last updated on 10/22/21).
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Here is a feature my college did on me. 
Here is a feature my department did on my pathway in mathematics. ​
Here is an interview of me for Meet a Mathematician. 

Features in the press: