LAB LOGA page on LabLog, a review site (not the lab's official page)
Number Theory Lab
Machine-translated · View original
A lab that explores number theory from the viewpoint of fundamental groups.
AboutAbout the lab
Revisiting Galois representations and periods through fundamental groups.
Prof. Furusho specializes in number theory and conducts research from the perspective of fundamental groups.
Prof. Furusho re-examines objects such as Galois representations, periods, and p-adic periods from the viewpoint of fundamental groups rather than cohomology.
In mathematics, one way to advance a subject is to move to higher dimensions or to p-adicize it, but Prof. Furusho's motto is "Make it multiple!"
Prof. Furusho's doctoral thesis developed the theory of p-adic multiple zeta values.
Key terms
- fundamental group
- A framework for capturing the shape of a space by collecting the loops in it, treating loops that can be continuously deformed into one another as the same
- multiple zeta value
- A number obtained by generalizing the zeta value, a sum of reciprocals of powers of integers, to nested multiple sums
- p-adic
- A way of measuring how close numbers are, based on how many times they are divisible by a prime p
ResearchResearch themes
Starting from number theory, the lab investigates objects in number theory using fundamental groups as a key. Its main focus is arithmetic algebraic geometry and arithmetic topology, and it extends to knot theory, quantum group theory, and the theory of iterated integrals.
*Illustrative imageArithmetic Algebraic Geometry
A branch of number theory that Prof. Furusho has studied since student days. Centered on concrete aspects of the theory of motives, the lab works with (p-adic) multiple zeta values and (p-adic) (multiple) polylogarithms.
*Illustrative imageArithmetic Topology
A still-new field that deals with the connection between number theory and knot theory. The universal quantum invariant of knots is known to be connected to multiple zeta values, and the associator the lab studies is regarded as a research tool common to both.
MembersFaculty
- ProfessorHidekazu Furusho
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 Number Theory Lab
Analytic and Algebraic Number Theory LabSchool of Science, Department of MathematicsMultiple zeta values and the theory of modular forms; algebr…
Topology LabSchool of Science, Department of MathematicsKnot theory and low-dimensional topology; geometry that stud…
Ring Theory and Representation Theory LabSchool of Science, Department of MathematicsRepresentation theory of algebras; quasi-hereditary algebras…
Information Theory, Quantum Information Theory, and Quantum Networks LabSchool of Science, Department of MathematicsQuantum information theory, studied to elucidate the mysteri…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: “Borromean Rings Illusion (transparent)” Jim.belk; background removed by Ravenpuff / Public domain (cropped)
- Arithmetic Algebraic Geometry: “Ulam spiral with prime numbers and divisor-based dot sizes” Marianoju / CC BY-SA 4.0 (cropped)
- Arithmetic Topology: “Blue Trefoil Knot” Jim.belk / Public domain (cropped)
- Related lab (Analytic and Algebraic Number Theory Lab): “ZetaFunction” Gaussianer / Public domain (cropped)
- Related lab (Topology Lab): “TrefoilKnotOrder2Symmetry” Wstomv / CC BY-SA 4.0 (cropped)
- Related lab (Ring Theory and Representation Theory Lab): “Combined group axiom commutative diagram” Struoc / CC BY-SA 4.0 (cropped)
- Related lab (Information Theory, Quantum Information Theory, and Quantum Networks Lab): “6 Transmon Superconducting Quantum Processor without Cheesing 012” OJB Quantum / CC BY 4.0 (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.