Research

My current main interest is geometric group theory and low-dimensional topology.

Published/Accepted papers:

1) Distortion of surfaces in graph manifolds. (with Chris Hruska.) Algebraic & Geometric Topology 19 (2019) 363–395., arXiv:1703.07458

2) Quasi-isometry of pairs: surfaces in graph manifolds. International Journal of Algebra and Computation., Vol. 29, No. 04, pp. 681-698 (2019) arXiv:1808.02722.

3) On the coarse geometry of certain right-angled Coxeter groups. (with H.C.Tran) arXiv:1712.01079. Algebraic & Geometric Topology 19-6(2019) 3075-3118

4) Distortion of surfaces in 3-manifolds. arXiv:1805.01094. Journal of Topology, (2019) 12 (4):1115-1145

5) On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups. ( with H.C.Tran, M. Haulmark.) arXiv:1708.07818. To appear in International Journal of Algebra and Computation.

Prepints/Submitted papers:

6) Subgroup distortion of 3-manifold groups. (with Hongbin Sun) Arxiv:1904.12253. Submitted

7) Quasiconvexity in 3-manifold groups (with H.Tran and W. Yang). Arxiv:1911.07807