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Discrete Structures Lab
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The lab builds on algebra to study discrete structures and arithmetic geometry.
AboutAbout the lab
Aiming to analyze discrete structures, grounded in algebra
The Discrete Structures Lab conducts education and research on representation theory based on algebra, and also works on research using the methods and perspectives of arithmetic geometry.
While conducting education and research on a variety of representation theories, the lab aims to apply them to the analysis of discrete structures that appear in mathematics and information science.
It also tackles a variety of problems using the methods and perspectives of arithmetic geometry.
The lab is part of the Department of Mathematical Foundations of Information Science, and its listed research topic is "Arithmetic Geometry and Moduli Theory."
Key terms
- Discrete structure
- A mathematical structure made up of separate, distinct elements rather than continuously connected ones.
- Arithmetic geometry
- A field of mathematics that studies the properties of integers using the ideas of geometry (shapes and figures).
- Moduli theory
- A theory that classifies mathematical objects by their properties and studies them as a single space.
ResearchResearch themes
While conducting education and research on a variety of representation theories based on algebra, the Discrete Structures Lab aims to apply them to the analysis of discrete structures that appear in mathematics and information science. It also tackles a variety of problems using the methods and perspectives of arithmetic geometry.
View More ↗MembersFaculty
- Associate ProfessorYasuhiro Wakabayashi
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: “Symmetries ( )” P K / CC BY 2.0 (cropped)
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