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Oyamaguchi Lab
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A lab that investigates knots and spatial graphs from a geometric perspective.

AboutAbout the lab
Investigating knots and spatial graphs through geometry.
Oyamaguchi Lab studies knot theory and spatial graph theory.
Its research topic is the construction of invariants of spatial graphs and their geometric characterization.
Its research field is geometry.
Key terms
- Knot theory
- A field that studies knots placed in space as mathematical objects
- Spatial graph
- A figure made of vertices and edges (a graph) placed in space
- Invariant
- A quantity that does not change when a figure is continuously deformed. It serves as a clue for telling figures apart
ResearchResearch themes
Oyamaguchi Lab centers its research on knot theory and spatial graph theory. Its research topic is the construction of invariants of spatial graphs and their geometric characterization.
View More ↗MembersFaculty
- Associate ProfessorNatsumi Oyamaguchi
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Good luck knot(ABOK 2437)” Zaripov Rustem / CC BY-SA 4.0 (cropped)
- Invariants of spatial graphs: “EB1911 - Knot - Fig. 41 - Racking Seizing” 作者不詳 / Public domain (cropped)
- Related lab (小池研究室): “Gyroid surface with Gaussian curvature” 作者不詳 / Public domain (cropped)
- Related lab (山川研究室): “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
- Related lab (佐古研究室): “Extended universe logarithmic illustration (English annotated)” Pablo Carlos Budassi / CC BY-SA 4.0 (cropped)
- Related lab (新田研究室): “First eigenspace of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped)
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