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Algebra 1 (Number Theory) Lab (Aiichi Yamasaki)
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The lab studies the strong approximation theorem for algebraic groups and Noether's problem.
AboutAbout the lab
Asking whether the set of solutions to an equation can be described simply
The Yamasaki Lab studies the strong approximation theorem for algebraic groups and Noether's problem, in the field of number theory.
The inverse Galois problem and the linear Noether problem are also research themes.
Through collaborative research, the lab investigates the rationality of algebraic tori and the Hasse norm principle.
Key terms
- Noether's problem
- A problem asking whether the set of all expressions that remain unchanged under the action of a group can be described using only freely chosen variables
- Algebraic torus
- A basic type of algebraic group, built by combining several multiplicative groups
- Hasse norm principle
- A principle asking whether something that holds locally (at each prime) also holds globally
ResearchResearch themes
The lab studies the strong approximation theorem and Noether's problem. It works on the strong approximation theorem for algebraic groups, the linear Noether problem, and the inverse Galois problem.
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MembersFaculty
- Associate ProfessorAiichi Yamasaki
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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: “Plaque Évariste Galois, 16 rue des Bernardins, Paris 5e” Celette / CC BY-SA 4.0 (cropped)
- Rationality of algebraic tori: “Klein-map” PSL27 / CC BY-SA 4.0 (cropped)
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- Related lab (Analysis 2 (Stochastic Analysis, Stochastic Control) Lab (Yushi Hamaguchi)): “Alpha-stable-levy” Thomas Steiner and Martin Keller-Ressel / CC BY-SA 2.5 (cropped)
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