Information
Understanding entanglement through mathematical frameworks offers vast potential for explaining the mechanical behavior of a wide range of materials and physical systems. This workshop invites broad interdisciplinary collaboration–spanning scientists, engineers, and artists–with the aim of advancing the field and inspiring innovative approaches in areas such as textiles, medical technologies, polymers, molecular structures, and construction materials. Rather than relying on conventional trial–and–error methods, the initiative connects academic and industrial perspectives to explore sustainable, forward–thinking solutions. In addition to fostering scientific dialogue, the workshop will emphasize cultural engagement through exhibitions and interactive activities.
Date
Monday, July 28, 2025 – Thursday, July 31, 2025 (JST)
Venue
TOKYO ELECTRON House of Creativity 3F, Lecture Theater, Katahira Campus, Tohoku University [Access]
Capacity
Onsite: 60 (First–come–first–serve basis, registration required)
Online: 100
Invited Speakers
Mark Dennis (University of Birmingham)
Yuanyuan Guo (Tohoku University)
Louis H. Kauffman (University of Illinois at Chicago)
Yuka Kotorii (Hiroshima University)
Sofia Lambropoulou (National Technical University of Athens)
Yoshiyuki Miyamae (A–POC ABLE Issey Miyake)
Eleni Panagiotou (Arizona State University)
Pedro M. Reis (École Polytechnique Fédérale de Lausanne (EPFL))
Takahiro Sakaue (Aoyama Gakuin University)
Koya Shimokawa (Ochanomizu University)
Hiroshi Suito (Tohoku University)
Ryuichi Tarumi (Osaka University)
Hirofumi Wada (Ritsumeikan University)
Registration
Participation
Registration deadline: Monday, June 23, 2025, 16:00 (JST)
– Closed
Online Participation reopened until: Friday, July 25, 2025, 16:00 (JST)
– Closed
Reception Party and Excursion
Registration deadline: Wednesday, July 16, 2025, 16:00 (JST)
– Closed
Onsite Participation Fee: 1000 JPY
Time Schedule
- 08:30 – 09:00
- Registration & Welcome Coffee
- 09:00 – 09:15
- Opening Remarks
- Sonia Mahmoudi (Tohoku University)
- Takashi Tsuboi (Tohoku University)
- Maki Suemitsu (Tohoku University)
- 09:15 – 10:15
- Louis H. Kauffman (University of Illinois at Chicago)
- Knot Logic and Aborescent Links
- 10:15 – 10:45
- Coffee Break
- 10:45 – 11:45
- Pedro M. Reis (École Polytechnique Fédérale de Lausanne (EPFL))
- Untangling the Mechanics of Physical Knots
- 11:45 – 12:00
- Introduction to weaving/knitting
- 12:00 – 13:30
- Lunch Break
- 13:30 – 14:30
- Sofia Lambropoulou (National Technical University of Athens)
- On the Equivalence of Doubly Periodic Tangles
- 14:30 – 15:00
- Coffee Break
- Session 1
- Session Chair: Ioannis Diamantis (Maastricht University)
- 15:00 – 16:30
- Taketo Sano (RIKEN iTHEMS)
- Khovanov homology and its applications to low–dimensional topology
- Andreani Petrou (Okinawa Institute of Science and Technology)
- Knots, links and Harer–Zagler factorisability
- Yoshiaki Uchida (Kobe Pharmaceutical University)
- Periodic knots with unknotting number one
- 16:30 – 18:00
- Poster Session
- Venue: AIMR 5F Combination Room
- Tuesday, July 29, 2025
- Session 1
- Session Chair: Ioannis Diamantis (Maastricht University)
- 09:00 – 10:30
- Koya Shimokawa (Ochanomizu University)
- Interlocking Molecules and Polyhedral Links
- Yi–Sheng Wang (National Sun Yat–sen University)
- The symmetry of knotted handlebodies in hyperbolic knot exteriors
- Makoto Ozawa (Komazawa University)
- Tritangle decompositions of genus two handlebody–knots
- 10:30 – 11:00
- Coffee Break
- Session 2
- Session Chair: Samuel Poincloux (Aoyama Gakuin University)
- 11:00 – 12:30
- Yuanyuan Guo (Tohoku University)
- Multimodal Metafibers as Soft Architectures for Sensing, Modulation, and Material Expression
- Hiroshi Yokota (Tokyo Metropolitan University)
- Topology–dependent dynamics of DNA involving “torsion” through molecular dynamics simulation
- Tomohiko Sano (Keio University)
- Shapes of twisted closed knots and plain knits
- 12:30 – 14:00
- Networking Lunch
- Session 3
- Session Chair: Tomohiko Sano (Keio University)
- 14:00 – 15:30
- Hirofumi Wada (Ritsumeikan University)
- Periodic Tangles and Topological Waves in a Mechanical Toy
- Kotone Tajiri (Keio University)
- Curling Morphology of Knitted Fabrics: Structure and Mechanics
- Goto Takai (Keio University)
- Twist deformation of physical trefoil knots
- 15:30 – 16:00
- Coffee Break
- 16:00 – 16:50
- Tatsuki Hayama (Keio University)
- Mathematics of Weave Structure and Patterns
- Wednesday, July 30, 2025
- 09:00 – 09:50
- Takahiro Sakaue, (Aoyama Gakuin University)
- Physics of kinetoplast DNA: a tentative view
- 09:50 – 10:40
- Eleni Panagiotou (Arizona State University)
- Measures of entanglement of filamentous matter
- 10:40 – 11:00
- Coffee Break
- 11:00 – 11:50
- Ryuichi Tarumi (Osaka University)
- Exploring the Intersection of Differential Geometry and Nonlinear Mechanics in Knitted Matters
- 12:00 – 19:00
- Excursion to Shiogama & Matsushima
Scheduled return to Sendai (Main Station) / Tohoku University (Katahira Campus)
(Guidelines and transport will be provided at Venue. Prior registration through the form provided above is required.)
- Thursday, July 31, 2025
- Session 1
- Session Chair: Ioannis Diamantis (Maastricht University)
- 09:00 – 10:30
- Yuka Kotorii (Hiroshima University)
- Higher Order Linking Numbers of Periodic Tangle
- Kenichi Yoshida (Hiroshima University)
- Periodic tangles and coverings of links in 3–manifolds
- Wout Moltmaker (Universiteit van Amsterdam)
- Quantum Invariants of Periodic Tangles
- 10:30 – 11:00
- Coffee Break
- Session 2
- Session Chair: Samuel Poincloux (Aoyama Gakuin University)
- 11:00 – 12:30
- Hiroshi Suito (Tohoku University)
- Time–periodic tangled blood flow streamlines in the human cardiovascular system
- Florian Gruen (Kyoto University)
- Regularity and structure of non–planar p–elasticae
- Joanna Mastalska–Popławska (AGH University of Krakow)
- Role of the selected hydrogels and ceramic fire retardants in the production of fire–resistant fabrics
- 12:30 – 13:40
- Networking Lunch
- 13:40 – 14:30
- Mark Dennis (University of Birmingham)
- From atom to pattern: weaving symmetries and discrete order
- 14:30 – 15:00
- Coffee Break
- 15:00 – 16:00
- Yoshiyuki Miyamae (A–POC ABLE Issey Miyake)
- The Endless Possibilities of A Piece of Cloth (Talk & Demonstration)
- 16:00 – 17:30
- Crafting Workshops
- 17:30 – 18:00
- Closing Remarks
- Sonia Mahmoudi (Tohoku University)
- 18:00 – 21:00
- Joint Art Exhibition & Reception Party
- Venue: AIMR 5F Combination Room
Co–hosted by



In cooperation with
- Aoyama Gakuin University
- Georgia Institute of Technology
- Hiroshima University
- Japan Tourism Agency, Ministry of Land, Infrastructure, Transport and Tourism (MLIT)
- Keio University
- Maastricht University
- Sendai Tourism, Convention and International Association (SenTIA)







Contact
Tohoku Forum for Creativity
Email: tfc_pg*grp.tohoku.ac.jp (change * to @)
Organizers
Email: periodic.tangles*gmail.com (change * to @)