LAB LOGA page on LabLog, a review site (not the lab's official page)
Fundamental Information Mathematics II Lab
Machine-translated · View original
A complex analysis lab that uses the properties of complex numbers to study functions, domains, and surfaces.
AboutAbout the lab
Studying functions and surfaces through the beautiful properties of complex numbers
The Sugawa Lab (Fundamental Information Mathematics II) studies complex analysis.
Using the properties of complex numbers, the lab studies functions and the domains and surfaces that underlie them, and recently it has also been tackling concrete problems with the help of computers.
The mathematics group of the Graduate School of Information Sciences is not directly involved in undergraduate specialized education, so the lab has no undergraduate students and supervises only graduate students (in the master's and doctoral programs).
Students with little specialized mathematical knowledge are welcome as long as they are motivated to learn.
Key terms
- Complex analysis
- A branch of mathematics that studies functions of a complex variable
- Riemann surface
- A surface that looks like the complex plane near every point. It serves as the domain of complex functions
- Teichmüller space
- A space representing all the ways of giving a surface a Riemann surface structure
- Quasiconformal mapping
- A mapping that keeps the distortion of angles within a fixed bound
ResearchResearch themes
Building on complex analysis, the lab covers a wide range of research, from classical complex function theory to Riemann surfaces, Teichmüller spaces, and quasiconformal mappings. Students are supervised separately from Associate Professor Matsubara-Heo, and what is introduced here is the area of expertise of Prof. Sugawa.
*Illustrative imageClassical Complex Function Theory
Undergraduate lectures introduce only the bare minimum, but the lab holds that endless interesting results lie beyond. Studying the fine classical results also brings unexpected discoveries and is enjoyable.
*Illustrative imageRiemann Surfaces
This is a theory that can be called the foundation from which modern algebra, geometry, and analysis developed. Classically, closed Riemann surfaces have been studied in depth, but from the standpoint of analysis, open Riemann surfaces are also interesting objects, and challenges remain in areas such as classification theory.
*Illustrative imageTeichmüller Spaces
This is a theory that investigates how many Riemann surface structures can be put on a fixed surface. Its construction is transcendental and much remains unknown. Prof. Sugawa is interested in the Bers embedding of this space and studies it.
*Illustrative imageQuasiconformal Mappings
This is a class of mappings essential for understanding Teichmüller spaces. Recently, the lab has been extending quasiconformality to study homeomorphic solutions of degenerate Beltrami equations.
MembersFaculty
- ProfessorToshiyuki Sugawa
- Associate ProfessorSaiei Matsubara-Heo
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 Fundamental Information Mathematics II Lab
Fundamental Information Mathematics I LabGraduate School of Information Sciences, Department of Computer and Mathematical SciencesConcepts and mathematical structure of quantum mechanics, ap…
Fundamental Data Informatics LabGraduate School of Information Sciences, Department of Computer and Mathematical SciencesData science approaches to complex information | Keywords: d…
Information Security LabGraduate School of Information Sciences, Department of Computer and Mathematical SciencesTheory and applications of information security | Research k…
Mathematical Foundations of Information Science IV LabGraduate School of Information Sciences, Department of Computer and Mathematical SciencesVerified numerical computation. In science and engineering, …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: “Sine Wave Domain Coloring Corrected” 12root2 / CC BY-SA 4.0 (cropped)
- Classical Complex Function Theory: “Graph of function of 2 variables” Zasdfgbnm / Public domain (cropped)
- Riemann Surfaces: “Riemann sqrt” Wlongqi / CC BY-SA 3.0 (cropped)
- Teichmüller Spaces: “KQCHP” Greg Egan / CC BY-SA 4.0 (cropped)
- Quasiconformal Mappings: “Complex log and exp mapping” Soul windsurfer / CC BY-SA 4.0 (cropped)
- Related lab (情報基礎数理学 I): “Feynman Diagram with circles” Starmakerthing / CC BY 4.0 (cropped)
- Related lab (データ基礎情報学): “ILNumerics Visualization in Array Visualizer” Hpcguy014 / CC BY-SA 4.0 (cropped)
- Related lab (情報セキュリティ論): “Data Security Breach ( )” Blogtrepreneur / CC BY 2.0 (cropped)
- Related lab (情報基礎数理学 IV): “Blackboard bold on a blackboard” Jacob Rus / 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.