LAB LOGA page on LabLog, a review site (not the lab's official page)
Algebra 2 (Algebraic Geometry) Lab (Shu Kawaguchi)
Machine-translated · View original
The lab studies algebraic geometry over number fields.
AboutAbout the lab
Studying geometric shapes over the world of numbers.
The Kawaguchi Lab studies algebraic geometry over number fields.
In joint research, the lab works on tropicalization, which maps a geometric shape to a piecewise-linear shape in order to study it, and on the theory of heights, which measures the complexity of numbers.
The lab has also co-authored a book presenting the complete proof of the Mordell conjecture via Diophantine geometry.
Key terms
- Number field
- A set of numbers formed by adjoining solutions of a certain equation to the rational numbers
- Tropicalization
- A method of studying algebraic shapes by mapping them to shapes made of line segments or polyhedra
- Height
- A quantity that measures how complex the numbers describing a point, such as a rational number, are
ResearchResearch themes
The lab studies algebraic geometry over number fields, using tropical geometry and the theory of heights to investigate the properties of algebraic varieties.
View More ↗
MembersFaculty
- ProfessorShu Kawaguchi
VoicesStudent voices
Ratings and reviews reflect the experiences of individual current or former students, not the lab's official views. Whether a lab has reviews, or how many, says nothing about the lab itself.
Students who take part in an interview may receive a thank-you gift worth ¥1,000, regardless of what they say.
Student ratings (0 students)
--
--
--
--
--
--
Student voices answer questions like these
- What's great about this lab?
- What did you learn after joining?
- What's the vibe, and what is the professor like?
- Who is this lab for?
- Where do graduates go?
Your experience can help younger students choose their lab. Your name won't be shown.
Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Algebra 2 (Algebraic Geometry) Lab (Shu Kawaguchi)
Algebra 2 (Algebraic Geometry) Lab (Osamu Fujino)Faculty of Science, School of ScienceBirational geometry of higher-dimensional algebraic varietie…
Algebra 2 (Algebraic Geometry) LabFaculty of Science, School of ScienceMinimal model theory (classification theory of algebraic var…
Algebra 2 and Geometry 2 Lab (Complex Geometry, Algebraic Geometry, Differential Geometry; Kenichi Yoshikawa)Faculty of Science, School of ScienceConstruction of invariants for algebraic varieties with triv…
Algebra 1 (Number Theory) Lab (Ito)Faculty of Science, School of ScienceResearch in arithmetic geometry, which investigates problems…The 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: “Tropical curves 3rd order” Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro / CC BY-SA 4.0 (cropped)
- Tropicalization of Abelian Varieties: “Kummer Surface” Mike Williams / CC BY 2.5 (cropped)
- Related lab (Algebra 2 (Algebraic Geometry) Lab (Osamu Fujino)): “Sarti's octic with 144 nodes” Salix alba / CC BY-SA 4.0 (cropped)
- Related lab (Algebra 2 (Algebraic Geometry) Lab): “Clebsch Cubic” Fly by Night / CC BY-SA 3.0 (cropped)
- Related lab (Algebra 2 and Geometry 2 Lab (Complex Geometry, Algebraic Geometry, Differential Geometry; Kenichi Yoshikawa)): “Espace de Calabi-Yau” Rogilbert / Public domain (cropped)
- Related lab (Algebra 1 (Number Theory) Lab (Ito)): “EllipticGroup” Thomas Cooper / Public domain (cropped)
About LabLog
LabLog is a lab review app for students only. Student members at each university interview students in labs and publish what they say. Student voices can only be read by students who sign up with a university email address. Operated by bestiee Inc.
Learn more about LabLog ↗Search engines and AI may reference the basic lab info and rating summaries on this page and the description of LabLog. Student voices are for student members only. Automated collection by programs (scraping, or input to or training of AI) is prohibited under Article 8 of the Terms of Service. If you need data for research or analysis, please contact us.