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Algebra Lab (Shushi Harashita)
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The lab studies algebraic geometry and its applications to number theory.
AboutAbout the lab
Applying algebraic geometry to number theory
The lab of Prof. Harashita studies algebraic geometry, a branch of algebra, and its applications to number theory.
Algebraic geometry studies generalizations of the equations that describe circles and parabolas, with more variables and more equations.
In number theory, the lab works with related partial differential equations and also uses analytic number theory.
Key terms
- Algebraic geometry
- A field of mathematics that studies generalizations of the equations describing circles and parabolas, with more variables and more equations
- Number theory
- A field of mathematics that studies the properties of integers. In this lab, it is treated as an area of application for algebraic geometry
ResearchResearch themes
In addition to algebraic geometry, the lab is particularly interested in its applications to number theory. Its listed research topics include the stratifications and foliations of moduli spaces of abelian varieties over fields of positive characteristic, p-divisible groups, finite group schemes, Deligne-Lusztig varieties, and superspecial curves and maximal curves.
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MembersFaculty
- ProfessorShushi Harashita
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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: “De Long Room - DPLA - 4a293bd28e3b53c081af01f5355f855c” Brackett, J. Raymond / Public domain (cropped)
- Algebraic geometry and its applications to number theory: “Clay tablet, mathematical, geometric-algebraic, similar to the Euclidean geometry. From Tell Harmal, Iraq. BCE. Iraq Museum” Osama Shukir Muhammed Amin FRCP(Glasg) / CC BY-SA 4.0 (cropped)
- Related lab (Algebra Lab): “Disqvisitiones-800” 作者不詳 / Public domain (cropped)
- Related lab (Algebra Lab): “Geometric sculpture at New Mersey Park” Rodhullandemu / CC BY-SA 4.0 (cropped)
- Related lab (Graph Algorithms Lab): “Queen's graph colouring” Bilorv / CC0 (cropped)
- Related lab (Probability Theory Lab (Masato Takei)): “Random walk 2000000” Purpy Pupple / CC BY-SA 3.0 (cropped)
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