Ioannis Diamantis (I.D.)
Research projects
- Periodic Structures
- Topological Data Analysis
- Applications of knot theory to Chemistry and Molecular Biology.
- Skein modules via braids & knot algebras.
- Textbooks
Key publications
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Diamantis, I., Lambropoulou, S., & Mahmoudi, S. (2024). Directional Invariants of Doubly Periodic Tangles. Symmetry, 16(8), Article 968. https://doi.org/10.3390/sym16080968More information about this publication
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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.2204.00410More information about this publication
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Hobbelhagen, F., & Diamantis, I. (2024). A comparative study of symbolic aggregate approximation and topological data analysis. Quantitative Finance and Economics, 8(4), 705-732. https://doi.org/10.3934/QFE.2024027More information about this publication
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Diamantis, I., Gabrovsek, B., Lambropoulou, S., & Mroczkowski, M. (2022). Knot theory of lens spaces. De Gruyter. De Gruyter Expositions in MathematicsMore information about this publication
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Diamantis, I., Lambropoulou, S., & Mahmoudi, S. (2024). From Annular to Toroidal Pseudo Knots. Symmetry, 16(10), Article 1360. https://doi.org/10.3390/sym16101360More information about this publication
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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.2015.08.009More information about this publication
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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.2015.06.014More information about this publication
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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/S021821651650084XMore information about this publication
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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.2311.06556More information about this publication
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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.2103.16433More information about this publication