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Ohashi Lab
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An algebraic geometry lab that explores the symmetries of algebraic varieties through their automorphism groups.
AboutAbout the lab
Exploring algebraic geometry through the symmetry of shapes
The Ohashi Lab specializes in algebraic geometry and studies shapes called algebraic varieties.
An algebraic variety is a shape defined by a system of polynomials. It is a rich object that can be treated algebraically, geometrically, and analytically.
It is said that a close study of automorphism groups reveals connections to fields outside conventional algebraic geometry.
The lab's introduction page says, “Let's try all sorts of things!”
Key terms
- Algebraic variety
- A shape defined by a system of polynomials. It can be treated algebraically, geometrically as a topological space, and analytically as a complex manifold.
- Automorphism group
- The group formed by the transformations that map a shape onto itself. It expresses the symmetry of the shape.
- K3 surface
- A type of algebraic surface (a 2-dimensional algebraic variety). This lab studies its automorphism group.
ResearchResearch themes
This lab studies algebraic varieties from the standpoint of finding interesting objects through their properties. The research themes listed include algebraic curves and algebraic surfaces, group actions that arise geometrically, research related to the symmetries of lattices and codes, and research on the automorphism groups of K3 surfaces.
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MembersFaculty
- Associate ProfessorHisanori Ohashi
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: “Surface sagemath” Kilom691 / CC BY-SA 4.0 (cropped)
- Algebraic Varieties and Symmetry: “Worm's-eye view of Tokyo Skytree with vertical symmetry impression, a sunny day, in Japan” Basile Morin / CC BY-SA 4.0 (cropped)
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