LAB LOGA page on LabLog, a review site (not the lab's official page)
Experimental Mathematics Lab
Machine-translated · View original
A division that studies number theory, algebraic geometry, and mathematical biology.
AboutAbout the lab
From number theory and algebraic geometry to models of infectious disease.
The Experimental Mathematics Lab is one of the divisions of the Department of Mathematics, Graduate School of Science, Osaka University, and it studies number theory, algebraic geometry, and mathematical biology.
The faculty members' specialties are mathematical biology, number theory, algebraic number theory, and algebraic geometry.
Topics that appear in the faculty members' research descriptions include differential equations describing the spread of infectious diseases, the relationship between L-functions and Selmer groups, and quotients of algebraic varieties and derived categories.
Key terms
- Basic reproduction number
- The expected number of new infections produced by a single infected individual introduced into a population with no immunity.
- Geometric invariant theory
- A theory that deals with the problem of quotients for algebraic group actions on algebraic varieties.
- Derived category
- A category built from coherent sheaves on an algebraic variety. Associate Professor Okawa studies how many semiorthogonal decompositions it has.
ResearchResearch themes
The faculty specialize in number theory, algebraic geometry, and mathematical biology. Each member studies different subjects, ranging from mathematical models of the spread of infectious diseases, to L-functions and Selmer groups, to the geometry of algebraic varieties.
*Illustrative imageMathematical models of infectious diseases
Professor Kuniya studies differential equation models describing the spread of infectious diseases. He examines long-term epidemic behavior through the stability of equilibrium solutions with and without infected individuals, and works on formulating the basic reproduction number and proving threshold properties.
*Illustrative imageThe relationship between L-functions and Selmer groups
Associate Professor Ota investigates the relationship between L-functions and Selmer groups attached to algebraic varieties defined by families of polynomials with rational coefficients. He has studied objects such as elliptic curves using p-adic methods based on a prime number p.
*Illustrative imageQuotients of algebraic varieties and birational geometry
Associate Professor Okawa studies geometric invariant theory (GIT), which deals with the problem of taking quotients of algebraic varieties by group actions, and birational geometry, which modifies algebraic varieties only partially. In special cases, GIT gives a complete description of the birational geometry of the quotient.
*Illustrative imageSemiorthogonal decompositions of derived categories
Associate Professor Okawa has recently been studying how many semiorthogonal decompositions exist for the derived category of coherent sheaves on an algebraic variety. This research is also motivated by birational geometry.
MembersFaculty
- ProfessorToshikazu Kuniya
- ProfessorTakao Watanabe
- Associate ProfessorShinnosuke Okawa
- Associate ProfessorKazuto Ota
- Associate ProfessorTomonori Moriyama
- Assistant ProfessorHiroyuki Ogawa
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 Experimental Mathematics Lab
Algebra LabFaculty of Science, Department of MathematicsNumber theory, algebraic geometry, mathematical physics, rep…
Applied Mathematics LabFaculty of Science, Department of MathematicsReal analysis (Fourier analysis, function spaces, pseudodiff…
Global Mathematics LabFaculty of Science, Department of MathematicsDifferential geometry (Einstein metrics, Ricci flow), comple…
Geometry LabFaculty of Science, Department of MathematicsDifferential geometry, geometric analysis, topology, low-dim…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: “Watts-Strogatz small-world model 100nodes” Keiono / CC BY-SA 3.0 (cropped)
- Mathematical models of infectious diseases: “Scanning electron micrograph of a human H9 T cell infected with HIV virus particles” NIAID / CC BY 2.0 (cropped)
- The relationship between L-functions and Selmer groups: “Ulam spiral with prime numbers and divisor-based dot sizes” Marianoju / CC BY-SA 4.0 (cropped)
- Quotients of algebraic varieties and birational geometry: “Algebraic geometry” P.wormer / CC BY-SA 3.0 (cropped)
- Semiorthogonal decompositions of derived categories: “Hasse Diagram of Subgroup Lattice of D4” Spamakin / CC0 (cropped)
- Related lab (代数学): “Geodesics on hyperbolic surface” Café Bene / CC BY-SA 3.0 (cropped)
- Related lab (応用数理学): “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique ( )” Ecole polytechnique Université Paris-Saclay / CC BY-SA 2.0 (cropped)
- Related lab (大域数理学): “SqrtRiemann” Auswahlaxiom / CC BY-SA 4.0 (cropped)
- Related lab (幾何学): “Schwarz D Surface” Anders Sandberg / CC BY-SA 3.0 (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.