LAB LOGA page on LabLog, a review site (not the lab's official page)
Ito-Yobuko Lab
Machine-translated · View original
A lab that explores the arithmetic and geometry of algebraic varieties, as well as pseudorandom number generation.
AboutAbout the lab
Studying the solution sets of polynomials through number theory and geometry.
Ito Lab studies algebraic varieties, which are defined as the common zeros of many multivariate polynomials, from a variety of angles.
Regarding them as solution sets of polynomials, the lab investigates them from the viewpoint of number theory; regarding them as geometric objects, it studies the geometry of moduli spaces and singularities.
As an application of finite fields, the lab also studies the generation of pseudorandom numbers.
In the researcher database the lab is introduced under the name "Ito Lab," and the introduction here is based on the page of Professor Hiroyuki Ito.
Key terms
- Algebraic variety
- An object defined as the common zeros of multivariate polynomials. It is studied in number theory as a set of solutions and in geometry as a geometric figure.
- K3 surface
- An object that can be seen as a higher-dimensional counterpart of an elliptic curve. Both its arithmetic and geometric properties have been studied.
- Pseudorandom numbers
- A sequence of numbers produced by computation that can be used like random numbers. This lab develops generation methods and evaluates their performance.
ResearchResearch themes
The lab studies the foundational theory of number theory and algebraic geometry used in cryptography and coding theory. It investigates the arithmetic and geometric properties of elliptic curves and K3 surfaces, and is developing a general theory for the singularities that are specific to algebraic varieties over fields of positive characteristic.
*Illustrative imageArithmetic and geometry of algebraic varieties
The lab investigates the arithmetic and geometric properties of algebraic varieties defined over fields of positive characteristic. Its work covers the theory of singularities in positive characteristic, arithmetic studies of elliptic surfaces, and the geometry of K3 surfaces and their moduli spaces.
*Illustrative imageMethods for generating pseudorandom numbers
As a part of applied algebra, the lab studies new methods for generating pseudorandom numbers. Using certain towers of field extensions in positive characteristic, it develops high-performance pseudorandom number generators and evaluates their performance.
MembersFaculty
- ProfessorHiroyuki Ito
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 Ito-Yobuko Lab
Ushijima LabFaculty of Science and Technology, Department of MathematicsFoundations of mathematics and applied mathematics
Esaki LabFaculty of Science and Technology, Department of MathematicsGeometry, foundations of analysis
Hirose LabFaculty of Science and Technology, Department of MathematicsGeometry
Tanaka LabFaculty of Science and Technology, Department of MathematicsGeometryThe 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: “Würfel” Dietmar Rabich / CC BY-SA 4.0 (cropped)
- Arithmetic and geometry of algebraic varieties: “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped)
- Methods for generating pseudorandom numbers: “Dice transparent background” Unmismoobjetivo / CC BY 4.0 (cropped)
- Related lab (牛島研究室): “Diffraction of plane wave from plasmonic slit” Myxomatosis57 / CC BY 4.0 (cropped)
- Related lab (江崎研究室): “WienerSausage” R.e.b. / Public domain (cropped)
- Related lab (廣瀬研究室): “Tesseract torus” WatchduckYou can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck". / CC BY 4.0 (cropped)
- Related lab (田中研究室): “Poincare Group Commutation Structure” Travisrm89 / CC0 (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.