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Kawamura Lab
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The lab studies geometric topology and metric geometry.
AboutAbout the lab
Geometric topology and metric geometry
The Kawamura Lab studies geometric topology, metric geometry, and topological combinatorics.
Its research keywords also include Banach algebras, function algebras, and topological dynamics.
The University of Tsukuba's Degree Program in Mathematics lists the lab's faculty member as part of the Geometry Group.
Key terms
- Geometric topology
- A field that studies the shapes of figures and spaces such as manifolds through properties that remain unchanged under continuous deformation
- Banach algebra
- A collection of objects such as functions, whose size (norm) can be measured and on which addition and multiplication are defined. The set of continuous functions is an example
- Topological dynamics
- A field that studies how points move when a transformation on a space is applied repeatedly
- Stable rank
- One of the invariants assigned to a Banach algebra that describe properties of the algebra
- Hypercyclicity
- The property that the orbit of a single vector, obtained by applying an operator repeatedly, comes arbitrarily close to every point of the space
ResearchResearch themes
The lab studies geometric topology, metric geometry, and topological combinatorics. Its research keywords also include Banach algebras, function algebras, and topological dynamics.
*Illustrative imageBanach Algebras, Function Algebras, and Topological Dynamics
The lab lists Banach algebras, function algebras, and topological dynamics as research keywords. Papers since 2023 include work on the stable rank of Banach algebras and on weighted composition operators on function spaces on the boundary of a tree.
*Illustrative imageGeometric Topology and Metric Geometry
The lab lists geometric topology and metric geometry as its research fields, and also gives applications of topological and probabilistic methods in graph theory as research keywords. It has also published a book (2022) on the topology of metric spaces.
*Illustrative imageMatrix Algebras over the Pseudo-solenoid
The lab studies matrix algebras over a space called the pseudo-solenoid, investigating which *-homomorphisms can be approximated by *-isomorphisms.
MembersFaculty
- ProfessorKazuhiro Kawamura
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: “Geometry Lessons” KUHT / Public domain (cropped)
- Banach Algebras, Function Algebras, and Topological Dynamics: “Functional calculus illustration3” 作者不詳 / Public domain (cropped)
- Geometric Topology and Metric Geometry: “Normal surface” C S at English Wikipedia / Public domain (cropped)
- Matrix Algebras over the Pseudo-solenoid: “Ring van Möbius - Hans Kalkhoven” Alex P. Kok / CC BY-SA 4.0 (cropped)
- Related lab (石井 敦 研究室): “Conway knot” Saung Tadashi / CC BY-SA 4.0 (cropped)
- Related lab (丹下 基生 研究室): “Knotted Mobius strip 3” Albert P. Carpenter / CC BY-SA 4.0 (cropped)
- Related lab (永野 幸一 研究室): “Lexell's theorem in the hyperbolic plane (half-plane model)” Jacob Rus / CC BY-SA 4.0 (cropped)
- Related lab (小野 肇 研究室): “Surface of revolution illustration violett” W like wiki / CC BY-SA 4.0 (cropped)
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