TOPResearch HighlightsDesigning knotted chiral meta matter from the principles of knot topology
Research Topics

Designing knotted chiral meta matter from the principles of knot topology

Scientific Questions

In pure mathematics, ‘knots’ are purely mathematical entities, but they are powerful concepts for studying real things in nature, especially string-like objects.  Our team of pure mathematicians are taking their expertise and collaborating across disciplines.

Currently, they are working in three domains: textile design, knotted defects and topological confinement, and biological knots and knotoids. 

Recent Publications & Achievements

  1. Kotorii, Y., Mahmoudi, S., Matsumoto, E., & Yoshida, K. (2025). On the isotopies of tangles in periodic 3‑manifolds using finite covers [Preprint]. arXiv. Link to text 
  2. Nozaki, Y., Kálmán, T., Teragaito, M., & Koda, Y. (2024). Homotopy classification of knotted defects in ordered media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480, Article 20240148. Link to text 
  3. Kobayashi, M., Nozaki, Y., Koda, Y., & Nitta, M. (2024). Quantum knots that never come untied [Preprint]. arXiv. Link to text
  4. Nozaki, Y., Palmer, D., & Koda, Y. (2024). Homotopy classification of knotted defects in bounded domains [Preprint]. arXiv. Link to text

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