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RESEARCH

My current main interest is geometric group theory and low-dimensional topology. In particular, I am interested in quasi-isometry classification, and geometric relationship between a 3-manifold group and its subgroups.

Publications and preprints:

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  1. Property (QT) of 3-manifold groups (with Suzhen Han and Wenyuan Yang). arXiv:2018.03361. Submitted. 

  2. Croke-Kleiner admissible groups: Property (QT) and quasiconvexity (with Wenyuan Yang) arXiv:2009.02863. Submitted 

  3. Quasiconvexity in 3-manifold groups (with Hung Cong Tran and Wenyuan Yang). Arxiv:1911.07807. To appear in Mathematische Annalen

  4. Subgroup distortion of 3-manifold groups. (with Hongbin Sun) Arxiv:1904.12253. Transactions of the American Mathematical Society, 373 (2020), no. 9, 6683-6711

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

  6. On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups. (with H.C. Tran, M. Haulmark). Internat. J. Algebra Comput . 30 (2020), no.3, 501-537.

  7. On the coarse geometry of certain right-angled Coxeter groups. (with H.C.Tran) Algebraic & Geometric Topology19-6(2019) 3075-3118

  8. Quasi-isometry of pairs: surfaces in graph manifolds. Internat. J. Algebra Comput, Vol.29, No.04, pp 681-698 (2019)

  9. Distortion of surfaces in graph manifolds. (with Chris Hruska.) Algebraic & Geometric Topology 19 (2019), no. 1, 363–395

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