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Kezuka Lab
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The lab specializes in number theory, exploring elliptic curves and special values of L-functions.
AboutAbout the lab
Elliptic curves through the lens of number theory.
Kezuka Lab specializes in number theory and studies elliptic curves and Iwasawa theory.
The lab also studies special values of L-functions and the Birch and Swinnerton-Dyer conjecture.
Key terms
- Elliptic curve
- A curve defined by a cubic equation such as y² = x³ + ax + b. Its points can be added to one another.
- Iwasawa theory
- A theory that considers an infinite tower of number fields stacked one on top of another, and studies arithmetic quantities across the tower as a whole.
- Birch and Swinnerton-Dyer conjecture
- An unsolved conjecture stating that the number of rational points on an elliptic curve is determined by the behavior of its L-function.
ResearchResearch themes
The lab specializes in number theory and studies elliptic curves, Iwasawa theory, special values of L-functions, and the Birch and Swinnerton-Dyer conjecture.
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MembersFaculty
- Associate ProfessorYukako KezukaPublications ↗
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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: “Addition on cubic” Jean Brette / CC BY 3.0 (cropped)
- Elliptic Curves and Iwasawa Theory: “Adding P,Q” Petr Chudáček / Public domain (cropped)
- Related lab (Abe Lab): “E8-with-thread” Jlrodri / CC BY-SA 3.0 (cropped)
- Related lab (Oshima Lab): “Weyl chambers for A2” Mathphysman / CC BY-SA 4.0 (cropped)
- Related lab (Imai Lab): “A Klein Quartic embedding in 3D” Ferkel / 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)
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