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. (with N. Vlamis) Algebr. Geom. Topol. 18-7 (2018), 4109-4142.
8. The first integral cohomology of pure mapping class groups. (with J. Aramayona and N. Vlamis) Submitted.
9. Effective virtual and residual properties of some arithmetic hyperbolic 3-manfiolds. (with J. Deblois and N. Miller) Submitted.
10. Covers of surfaces, Kleinian groups, and the curve complex. (with T. Aougab and S. Taylor) Submitted.
11. A combinatorial characterization of hyperbolic 3-manifolds: Thurston's Lego (with D. Cooper) In preparation.
Here is a link to a video of my talk at the Effective and Algorithmic Methods in Hyperbolic Geometry and Free Groups Workshop. (May 2016)
Here is a link to a video of my talk at the GGD/GEAR Seminar at UIUC (October 2014).
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. (with N. Vlamis) Algebr. Geom. Topol. 18-7 (2018), 4109-4142.
8. The first integral cohomology of pure mapping class groups. (with J. Aramayona and N. Vlamis) Submitted.
9. Effective virtual and residual properties of some arithmetic hyperbolic 3-manfiolds. (with J. Deblois and N. Miller) Submitted.
10. Covers of surfaces, Kleinian groups, and the curve complex. (with T. Aougab and S. Taylor) Submitted.
11. A combinatorial characterization of hyperbolic 3-manifolds: Thurston's Lego (with D. Cooper) In preparation.
Here is a link to a video of my talk at the Effective and Algorithmic Methods in Hyperbolic Geometry and Free Groups Workshop. (May 2016)
Here is a link to a video of my talk at the GGD/GEAR Seminar at UIUC (October 2014).
Upcoming Travel:
Combinatorial and algebraic aspects of geometric structures, Chiang Mai University, Thailand, July 2019
Vanderbilt Topology & Group Theory Seminar, September 2019
AMS Sectional Meeting Special Session: Geometric Structures on Manifolds, University of Florida, November 2019
Vanderbilt Topology & Group Theory Seminar, September 2019
AMS Sectional Meeting Special Session: Geometric Structures on Manifolds, University of Florida, November 2019