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Geometry Lab
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The lab is a geometry group centered on differential geometry and topology.
AboutAbout the lab
Exploring the shape of space through differential geometry and topology
The Geometry Lab is a group of faculty members in the Department of Mathematics who study differential geometry, topology, and related fields.
On the Department of Mathematics staff pages, Professor Shinichi Ohta lists differential geometry and geometric analysis as research areas, and Professor Seiichi Kamada lists topology and low-dimensional topology.
Lecturer Kazunori Kikuchi works in differential topology, Assistant Professor Yasuhiro Hara in transformation groups and topology, and Associate Professor Yoshihiko Matsumoto in differential geometry and several complex variables.
Assistant Professor Kenshiro Tashiro studies sub-Riemannian manifolds, a type of space, using optimal control theory and optimal transport theory.
Key terms
- Sub-Riemannian manifolds
- Spaces that combine properties of Riemannian manifolds and fractals. They appear in research on hypoelliptic operators and in the context of geometric group theory
NewsLab news
Associate Professor Shinpei Baba received the 2026 Geometry Prize of the Mathematical Society of Japan
Assistant Professor Kenshiro Tashiro received the 2026 Takebe Katahiro Prize of the Mathematical Society of Japan
Professor Shinichi Ohta received the Prize for Science and Technology in the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology
ResearchResearch themes
Faculty members of the Geometry Lab specialize in differential geometry, geometric analysis, topology, low-dimensional topology, differential topology, transformation groups, several complex variables, and related fields. This section presents the research of Assistant Professor Kenshiro Tashiro, whose work is described on the Department of Mathematics staff pages.
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MembersFaculty
- ProfessorShinichi Ohta
- ProfessorSeiichi Kamada
- Associate ProfessorTakahiro Oba
- Associate ProfessorShinpei Baba
- Associate ProfessorYoshihiko Matsumoto
- LecturerKazunori Kikuchi
- Assistant ProfessorKenshiro Tashiro
- Assistant ProfessorYasuhiro Hara
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: “Schwarz D Surface” Anders Sandberg / CC BY-SA 3.0 (cropped)
- Geometry of Sub-Riemannian Manifolds: “Klein bottle glass2” PaulT (Gunther Tschuch) / CC BY-SA 4.0 (cropped)
- Related lab (代数学): “Geodesics on hyperbolic surface” Café Bene / CC BY-SA 3.0 (cropped)
- Related lab (大域数理学): “SqrtRiemann” Auswahlaxiom / CC BY-SA 4.0 (cropped)
- Related lab (応用数理学): “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique ( )” Ecole polytechnique Université Paris-Saclay / CC BY-SA 2.0 (cropped)
- Related lab (実験数学): “Watts-Strogatz small-world model 100nodes” Keiono / CC BY-SA 3.0 (cropped)
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