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. ​Submitted. (with J. Aramayona and N. Vlamis)
  9. Effective virtual and residual properties of some arithmetic hyperbolic 3-manfiolds. Trans. Amer. Math. Soc. Accepted. (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) In preparation. 
  12. Big mapping class groups and quasi-morphisms. (with C. Abbott and N. Miller) In preparation. 
  13. 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 video of my talk at the GGD/GEAR Seminar at UIUC (October 2014).
Here is a feature my department did on my pathway in mathematics. 

Features in the press: 

Upcoming Travel:

All of my travel has been cancelled or postponed due to COVID-19. 

I will be speaking in the following seminars virtually in the near future: 

Warwick Geometry and Topology Online Seminar, May 5, 2020. 

Australian Geometric Topology Webinar, May 27, 2020.

UC Davis Geometry and Topology Seminar, June 2, 2020. 

Virtual trends on Low-dimensional Topology Seminar, June 16, 2020.