LAB LOGA page on LabLog, a review site (not the lab's official page)
Large-Scale Mathematical Sciences Lab
Machine-translated · View original
The lab studies mathematics and mathematical physics, including complex analytic differential equations, representation theory, and operator algebras.
AboutAbout the lab
Large-scale mathematics in mathematics and mathematical physics
The Large-Scale Mathematical Sciences Lab promotes education and research in mathematics, including the theory of complex analytic differential equations, topology, algebraic geometry, and representation theory, as well as in applied large-scale mathematics within mathematical physics.
The mathematical physics it addresses has its origins in statistical mechanics and quantum field theory.
The faculty are Professor Katsuhisa Mimachi, who specializes in complex integrals, representation theory, and mathematical physics, and Associate Professor Norio Nawata, who specializes in the theory of operator algebras.
Within the department, faculty members collaborate freely in research and education, beyond the boundaries of their own labs.
Key terms
- Theory of operator algebras
- A field of mathematics that deals with operator algebras, which are roughly rings formed by infinite-dimensional matrices. Keywords: “noncommutative” and “infinite-dimensional”
- Representation theory
- A field of mathematics that studies objects with symmetry by expressing them in forms such as matrices
- Fundamental group
- An invariant that measures a certain kind of self-similarity of operator algebras. It was originally defined for type II1 factors
ResearchResearch themes
The lab covers mathematics such as the theory of complex analytic differential equations, as well as applications of mathematical physics that originated in statistical mechanics and quantum field theory. Associate Professor Nawata's personal page describes his research on operator algebras in detail.
*Illustrative imageLarge-Scale Mathematics in Mathematics and Mathematical Physics
The lab promotes education and research in mathematics, including the theory of complex analytic differential equations, topology, algebraic geometry, and representation theory, as well as in applied large-scale mathematics within mathematical physics, which originated in statistical mechanics and quantum field theory.
*Illustrative imageOperator Algebras and the Isomorphism and Symmetry of Algebras
Operator algebras are, roughly speaking, rings formed by infinite-dimensional matrices. A basic question in the theory of operator algebras is when two algebras constructed in different ways are isomorphic. Current challenges include the study of invariants for determining whether algebras are isomorphic, and the study of the symmetries of algebras.
*Illustrative imageC*-Algebras Without Projections
Stably projectionless C*-algebras are algebras that have no projections other than zero, even after taking the tensor product with a matrix algebra. Associate Professor Nawata has studied them by introducing the fundamental group, which measures the self-similarity of an algebra, and is also working on the classification of automorphisms and group actions on these algebras.
MembersFaculty
- ProfessorKatsuhisa Mimachi
- Associate ProfessorNorio Nawata
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 Large-Scale Mathematical Sciences Lab
Geometric Analysis LabGraduate School of Information Science and Technology, Department of Pure and Applied MathematicsNonlinear partial differential equations on geometric spacet…
Discrete Structures LabGraduate School of Information Science and Technology, Department of Pure and Applied MathematicsRepresentation theory based on algebra, with applications to…
Computer Experimental Mathematics LabGraduate School of Information Science and Technology, Department of Pure and Applied MathematicsEducation and research on mathematical modeling and construc…
Applied Analysis LabGraduate School of Information Science and Technology, Department of Pure and Applied MathematicsModeling nonlinear phenomena arising in mathematical physics…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: “Contours in the vector field f(z) = -Cos(z)” Oldtimermath / CC BY-SA 3.0 (cropped)
- Large-Scale Mathematics in Mathematics and Mathematical Physics: “Glace carrée” Moali / CC BY-SA 4.0 (cropped)
- Operator Algebras and the Isomorphism and Symmetry of Algebras: “Genus two surface with symmetry axis” Schala163 / CC0 (cropped)
- C*-Algebras Without Projections: “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique” Jérémy Barande / CC BY-SA 3.0 (cropped)
- Related lab (Geometric Analysis Lab): “One-sided spacetime curvatures” Tokamac / CC BY-SA 4.0 (cropped)
- Related lab (Discrete Structures Lab): “Symmetries ( )” P K / CC BY 2.0 (cropped)
- Related lab (Computer Experimental Mathematics Lab): “New Boeing Method Accelerates Turbulence Modeling Uncertainty Analysis” OLCF / CC BY 2.0 (cropped)
- Related lab (Applied Analysis Lab): “Lorenz yz x 0” German A. Chernykh & Irina A. Chernykh / CC BY-SA 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.