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Kashio Lab
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An algebra lab tackling unsolved problems in number theory.

AboutAbout the lab
Weaving a theory of numbers from algebra, analysis, and geometry.
The Kashio Lab studies number theory, a branch of algebra.
Number theory is the study of the properties and laws of numbers.
The lab aims to weave a "theory of numbers" by combining not only algebraic approaches but also analytic and geometric theories.
Its main research subjects include the Stark conjecture and generators of unit groups.
Key terms
- Number theory
- A field of mathematics that studies the properties and laws of numbers. It is studied as a part of algebra
- Stark conjecture
- A conjecture that relates the properties of units of a number field to the values of L-functions
- Unit group
- The group of all elements of the ring of integers of a number field whose inverses also lie in the ring of integers
ResearchResearch themes
The Kashio Lab tackles unsolved problems in number theory, aiming to weave a "theory of numbers" by combining algebraic, analytic, and geometric theories. Its research themes include the relationship between values of L-functions and periods, class field theory and the construction of class fields, and p-adic special functions.
View More ↗MembersFaculty
- ProfessorTomokazu Kashio
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Kashio Lab
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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: “Spirale Ulam 150” Généré avec la librairie GD de PHP, par Cortexd / Public domain (cropped)
- Unsolved problems in number theory: “Goldbach's Prime Triangle” KalGari81 / CC0 (cropped)
- Related lab (八森研究室): “Secp256k1” https://en.bitcoin.it/wiki/User:Theymos / CC BY-SA 3.0 (cropped)
- Related lab (大橋研究室): “Surface sagemath” Kilom691 / CC BY-SA 4.0 (cropped)
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