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I am currently a lecturer-researcher at the Department of Mathematics, FPT University, DaNang. Before this, I was a lecturer at the Department of Mathematics, University of DaNang. Before this, I was a Boya Postdoc at the Beijing International Center for Mathematical Research-Peking University. I received my doctorate at the University of Wisconsin-Milwaukee in May 2019 under the guidance of Prof.Chris Hruska. Here is a copy of my CV.
My research interests are in geometric group theory and low-dimensional topology. In particular, quasi-isometric classification, quasi-isometric rigidity, commensurability classification, and geometric relationship between a group and its subgroups (subgroup distortions, quasiconvexity,...), groups acting on a finite product of quasi-trees.
I am supported by Project ICRTM04_2021.07 of the International Centre for Research and Postgraduate Training in Mathematics, Vietnam, and was partially supported by the National Key Program for the development of Mathematics under grant number B2024-CTT-04.
Email: nthoang.math@gmail.com / hoangnt63@fe.edu.vn
Distinction: Scientific Prize of the Institute of Mathematics, Vietnam Academy of Science and Technology, 2021.
Publications and preprints:
1) Quasi-redirecting boundaries of non-positively curved groups (with Yulan Qing) [Pdf] Arxiv Submitted.2) Quasi-redirecting boundaries of groups with linear divergence and 3-manifold groups [Pdf]. Arxiv3) An extension of Kapovich-Leeb's theorem [Pdf]. Submitted.4) Separability properties of extended admissible groups. [Pdf]. To appear in Forum Mathematicum.5) Quasi-isometric rigidity of extended admissible groups (with Alex Margolis). arXiv:2401.03635 [Pdf] Submitted.6) Property (QT) for 3-manifold groups (with Suzhen Han and Wenyuan Yang). Algebraic & Geometric Topology., 25 (2025) 107–159. [Pdf]7) Some remarks on subgroups of free-by-cyclic groups (with Minh Nhat Doan). To appear in Vietnam Journal of Mathematics.8) Largest hyperbolic action of 3-manifold groups (with Carolyn Abbott and Alex Ramussen). arXiv:2305.07425 . [Pdf] Bulletin of the London Mathematical Society, 56 (2024) :3090-3013.9) Finite height subgroups of extended admissible groups. [Pdf]. New York Journal of Mathematics., 30 (2024) 1220–1234. 10) Sublinearly Morse boundary of CAT(0) admissible groups (with Yulan Qing). Journal of Group Theory, vol. 27, no. 4, 2024, pp. 857-897. [Pdf]11) Croke-Kleiner admissible groups: Property (QT) and quasiconvexity (with Wenyuan Yang). Michigan Mathematical Journal, 73 (2023), 971-1019 arXiv:2009.0286312) Strongly quasiconvex subgroups in amalgams and HNN extension (with Hung Cong Tran). arXiv:2204.09242. International Journal of Algebra and Computation, Vol. 33, No. 03, pp. 435-444 (2023) 13) Quasiconvexity in 3-manifold groups (with Hung Cong Tran and Wenyuan Yang). Arxiv:1911.07807. Mathematische Annalen, 381, 405-437 (2021).14) Subgroup distortion of 3-manifold groups. (with Hongbin Sun) Transactions of the American Mathematical Society., 373 (2020), no. 9, 6683-6711 .15) Distortion of surfaces in 3-manifolds. Journal of Topology, (2019) 12(4): 1115-114516) On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups. ( with H.C.Tran, M. Haulmark.) International Journal of Algebra and Computation, 30 (2020), no.3, 501-537. 17) On the coarse geometry of certain right-angled Coxeter groups. (with H.C.Tran) Algebraic & Geometric Topology 19-6(2019) 3075-311818) Quasi-isometry of pairs: surfaces in graph manifolds. International Journal of Algebra and Computation, Vol.29, No.04, pp 681-698 (2019)19) Distortion of surfaces in graph manifolds. (with Chris Hruska.) Algebraic & Geometric Topology 19 (2019), no. 1, 363–395
Teaching Experience:
Fall 2023, Spring 2024, Summer 2024, Fall 2024, Spring 2025: FPT University
- Math MAE101, Mathematics for Engineering.
- Math MAD 101, Discrete Mathematics.
- Math MAS 101, Statistics & Probability.
Summer 2022: Duy Tan University (Visiting)
- Calculus II
2019-present:
- Introduction to 3-manifolds (Fall 2019): Beijing Jiaotong University.
2014-2019: University of Wisconsin-Milwaukee
- Survey in Calculus and Analytic Geometry (4 semesters include 2 semesters for discussion and 2 semesters for the online course)
- Calculus and Analytic Geometry I (1 semester)
- Calculus and Analytic Geometry II (1 semester)
- Calculus and Analytic Geometry III (3 semesters)
- Intermediate Algebra (1 semester)
- College Algebra (1 semester)
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