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Imai Lab
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A lab that studies Galois representations through moduli spaces.
AboutAbout the lab
Viewing number-theoretic objects as spaces.
The Imai Lab works in arithmetic geometry, studying Galois representations and moduli spaces.
The lab investigates moduli spaces of number-theoretic objects and applies the results to the study of Galois representations.
Key terms
- Arithmetic geometry
- A field that studies problems in number theory, such as equations in integers, through the geometric properties of shapes
- Galois representation
- A representation, in the form of matrices, of the symmetries that permute the solutions of an equation (the Galois group)
- Moduli space
- A space obtained by collecting all mathematical objects of a certain kind and regarding the collection itself as a single geometric object
ResearchResearch themes
The lab's field is arithmetic geometry, with Galois representations and moduli spaces as its themes.
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MembersFaculty
- Associate ProfessorNaoki ImaiPublications ↗
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Imai Lab
Shiho LabFaculty of Science, Department of MathematicsArithmetic geometry
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Saito LabFaculty of Science, Department of MathematicsArithmetic algebraic geometryThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “A Klein Quartic embedding in 3D” Ferkel / CC BY-SA 4.0 (cropped)
- Galois Representations and Moduli Spaces: “The modular group PSL 2(Z)” Neozhaoliang / CC BY-SA 4.0 (cropped)
- Related lab (Shiho Lab): “Elliptic curve y^2=x^3-x on finite field Z 89” Technopop.tattoo / CC0 (cropped)
- Related lab (Tsuji Lab): “Riemann zeta surface” SteJaes / CC BY-SA 4.0 (cropped)
- Related lab (Abe Lab): “3-adic integers” LightbulbMEOW / CC BY-SA 4.0 (cropped)
- Related lab (Saito Lab): “Algebraicszoom” Stephen J. Brooks (talk) Source code in C with OpenGL. / CC BY 3.0 (cropped)
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