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Mihara Lab
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A lab that uses p-adic numbers as a starting point to explore derived rigid geometry and optimization.
AboutAbout the lab
Exploring mathematics and data through p-adic numbers
The Mihara Lab studies derived rigid geometry, p-adic functional analysis, discrete optimization, and natural language processing.
It belongs to the Algebra Group of the Mathematics Degree Program and is also assigned to the Center for Artificial Intelligence Research.
The lab also reports, in papers and presentations, on research that uses p-adic numbers for data analysis and word embeddings.
Key terms
- p-adic numbers
- Numbers used in number theory and analysis that form a system separate from the real numbers. One system is considered for each prime p.
- Discrete optimization
- A field that deals with the problem of choosing the best combination from among discrete options.
- Word embeddings
- A method that represents words as vectors of numbers so that the meanings of words can be handled computationally.
NewsLab news
View More ↗ResearchResearch themes
The lab lists derived rigid geometry, p-adic functional analysis, discrete optimization, and natural language processing as its research areas. In the university's researcher directory, its field is given as algebra, with the keywords algebraic number theory, arithmetic geometry, analysis of integer-valued functions, and discrete optimization.
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MembersFaculty
- Assistant ProfessorTomoki Mihara
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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: “Pale cream grey dirty grubby dusty discolored geometric diagonal tile pattern floor texture” Sisters.seamless / CC0 (cropped)
- Derived Rigid Geometry and p-adic Functional Analysis: “Commutative Diagram 2” Yoelpiccolo31 / CC BY-SA 4.0 (cropped)
- Related lab (木村 健一郎 研究室): “Node (algebraic geometry)” The original uploader was Jakob.scholbach at Wikipedia. / CC BY-SA 3.0 (cropped)
- Related lab (伊藤 敦 研究室): “Algebraic geometry” P.wormer / CC BY-SA 3.0 (cropped)
- Related lab (坂本 龍太郎 研究室): “Ulam spiral centred on 41” TrulyBlue / CC BY-SA 4.0 (cropped)
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