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. (with T. Aougab and S. Taylor) Submitted​. 
  11. Isometry groups of infinite-genus hyperbolic surfaces. (with T. Aougab and N. Vlamis) Math. Ann. (to appear). 
  12. Free products from spinning and rotating families. (with M. Bestvina, R. Dickmann, G. Domat, S. Kwak, and E. Stark) ​Submitted.
  13. Big mapping class groups and quasi-morphisms. (with C. Abbott and N. Miller) In preparation. 
  14. A combinatorial characterization of hyperbolic 3-manifolds: Thurston's Lego (with D. Cooper) In preparation.​

Here is a video of my talk at the Effective and Algorithmic Methods in Hyperbolic Geometry and Free Groups Workshop. (May 2016) ​
Here is a feature my department did on my pathway in mathematics. 
Here is a feature my college did on me. 

Features in the press: 

Upcoming Travel:

I will be speaking in the following seminars and conferences in the near future: 

UCSB Topology Seminar, May 2021. 

Nearly Carbon Neutral Geometric Topology Conference, Jun 2021.

Geometry, Arithmetic, and Groups, UT Austin, Jun 2022.

I will also be running a mini-course for the PRIMA Congress in the summer of 2021. More details coming soon.