Ioannis Diamantis (I.D.)
- Applications of knot theory to Chemistry and Molecular Biology.
- HOMFLYPT skein modules via braids
- Kauffman bracket skein modules via knot algebras
- Pseudo, Singular and Tied knots and knotoids
- Textbooks
Diamantis, I., Gabrovsek, B., Lambropoulou, S., & Mroczkowski, M. (2022). Knot theory of lens spaces. De Gruyter. De Gruyter Expositions in Mathematics
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Diamantis, I. (2022). The Kauffman bracket skein module of the lens spaces via unoriented braids. Cornell University - arXiv. arXiv.org No. 2204.00410 https://doi.org/10.48550/arXiv.2204.00410
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Diamantis, I. (2023). The Kauffman bracket skein module of the complement of (2,2p + 1)-torus knots via braids. Topology and Its Applications, 327, Article 108433. https://doi.org/10.1016/j.topol.2023.108433
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Diamantis, I. (2021). Tied links in various topological settings. Journal of Knot Theory and Its Ramifications, 30(07), Article 2150046. https://doi.org/10.1142/S0218216521500462
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Diamantis, I., Lambropoulou, S., & Mahmoudi, S. (2023). Equivalence of Doubly Periodic Tangles. Cornell University - arXiv. arXiv.org No. 2310.00822
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Diamantis, I., & Lambropoulou, S. (2015). Braid equivalences in 3-manifolds with rational surgery description. Topology and Its Applications, 194, 269-295. https://doi.org/10.1016/j.topol.2015.08.009
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Diamantis, I., & Lambropoulou, S. (2016). A new basis for the Homflypt skein module of the solid torus. Journal of Pure and Applied Algebra, 220(2), 577-605. https://doi.org/10.1016/j.jpaa.2015.06.014
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Diamantis, I., Lambropoulou, S., & Przytycki, J. (2016). Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids. Journal of Knot Theory and Its Ramifications, 25(14), Article 1650084. https://doi.org/10.1142/S021821651650084X
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Diamantis, I. (2023). A survey on skein modules via braids. Cornell University - arXiv. arXiv.org No. 2311.06556v1 https://doi.org/10.48550/arXiv.2311.06556
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Diamantis, I. (2022). Knotoids, pseudo knotoids, Braidoids and pseudo braidoids on the Torus. Cornell University - arXiv. arXiv.org No. 2103.16433 https://doi.org/10.48550/arXiv.2103.16433
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Ioannis Diamantis (I.D.)
Teacher
Data Analytics and Digitalisation
School of Business and Economics