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The idea of contributing to Science is very exciting for me
I am a postdoctoral researcher at the Beijing International Center for Mathematical Research (BICMR), Peking University, under the supervision of Professor Yi Liu. I obtained my PhD in June 2024 from Monash University supervised by Prof. Jessica Purcell.
I am a postdoctoral researcher at the Beijing International Center for Mathematical Research (BICMR), Peking University, under the supervision of Professor Yi Liu. I obtained my PhD in June 2024 from Monash University supervised by Prof. Jessica Purcell.
I am interested in Topology, Low-Dimensional Topology, Hyperbolic Geometry, Knot Theory, Braid Theory and applications of these areas in Science and other areas of Mathematics.
I am interested in Topology, Low-Dimensional Topology, Hyperbolic Geometry, Knot Theory, Braid Theory and applications of these areas in Science and other areas of Mathematics.
PAPERS
Thiago de Paiva. Unexpected essential surfaces among exteriors of twisted torus knots, Algebr. Geom. Topol. 22 (2022), no. 8, 3965–3982. MR 4562562.
Thiago de Paiva and Jessica S. Purcell. Satellites and Lorenz knots, Int. Math. Res. Not. IMRN (2023), no. 19, 16540–16573. MR 4651895
Sangyop Lee and Thiago de Paiva. Torus knots obtained by negatively twisting torus knots, J. Knot Theory Ramifications 31 (2022), no. 1, Paper No. 2150080, 19. MR 4411809 (Editor’s Pick 2024).
Thiago de Paiva. Hyperbolic knots given by positive braids with at least two full twists, Proc. Amer. Math. Soc. 150 (2022), no. 12, 5449–5458. MR 4494619.
Thiago de Paiva. Hyperbolic twisted torus links, Geom. Dedicata 217 (2023), no. 2, Paper No. 42, 16. MR 4551666.
Thiago de Paiva. Torus Lorenz links obtained by full twists along torus links, Proc. Amer. Math. Soc. 151 (2023), no. 6, 2671–2677. MR 4576328.
Thiago de Paiva. Satellite knots that cannot be represented by positive braids with full twists. arXiv preprint arXiv:2211.12816 (2022), to appear in New York J. Math.
Thiago de Paiva and Jessica S Purcell. Hyperbolic and satellite Lorenz links obtained by twisting. arXiv preprint arXiv:2301.01934 (2023), to appear in Michigan Math. J.
Burton, Benjamin A., Thiago de Paiva, Alexander He, and Connie On Yu Hui. Crushing Surfaces of Positive Genus. arXiv preprint arXiv:2403.11523 (2024). (Submitted), to appear in Algebr. Geom. Topol.
Thiago de Paiva. Geometry of Generalized Augmented Braids. arXiv preprint arXiv:2406.09736 (2024) (Submitted).
Thiago de Paiva. Lorenz links, T-links, Minimal Braids, Positive braids with a full twist, and Geometric Types. arXiv preprint arXiv:2409.14824 (2024) (Submitted).
Thiago de Paiva, Connie On Yu Hui, José Andrés Rodríguez Migueles. Volumes, Lorenz-like templates, and braids. arXiv preprint arXiv:2410.04391 (2024) (Submitted).
Adnan, Thiago de Paiva, Kyungbae Park. On the number of components of twisted torus links. arXiv preprint arXiv:2505.01021 (2025) (Submitted).
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