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Sako Lab
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A lab for mathematical physics and mathematics education that uses mathematics to unravel the mysteries of the universe.
AboutAbout the lab
Unraveling the mysteries of the universe with mathematics.
The Sako Lab studies mathematical physics and mathematics education.
Quantum field theory, gauge theory, and string theory, which describe the laws of physics, are still incomplete in places.
The lab studies ways to solve these problems using noncommutative geometry and category theory.
Many students aiming to become mathematics teachers belong to the lab, and they also work on developing new mathematics teaching materials and teaching methods.
Key terms
- Gauge theory
- One of the theoretical frameworks for describing the laws of physics. It is often listed alongside quantum field theory and string theory
- String theory
- One of the theoretical frameworks for describing the laws of physics. Like quantum field theory, it still has incomplete aspects
- Noncommutative geometry
- A geometry formulated on the idea that space is noncommutative. There are various ways to formulate it
ResearchResearch themes
The Sako Lab studies mathematical physics, which uses mathematics to unravel the mysteries of the universe, and mathematics education, which trains people to teach mathematics. It explores ways to resolve the incomplete parts of theories that describe the laws of physics, using noncommutative geometry and category theory.
*Illustrative imageSolving Problems in Field Theory and String Theory
Quantum field theory, gauge theory, and string theory contain parts that have not been mathematically formulated, and they cannot properly describe the moment of the universe's birth or the interior of black holes. The lab studies ways to solve these problems using noncommutative geometry and category theory.
*Illustrative imageNoncommutative Geometry
There are many ways to formulate a geometry in which space is noncommutative. The lab extends approaches that have been attempted using various objects equivalent to space, aiming to build a more flexible noncommutative geometry.
*Illustrative imageMathematics Education
Research includes developing new mathematics teaching materials and teaching methods, and students present their results at conferences in Japan and abroad. Tokyo University of Science has a strong tradition of teacher training, and many students aiming to become mathematics teachers belong to the lab.
MembersFaculty
- Akifumi Sako
VoicesStudent voices
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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: “Extended universe logarithmic illustration (English annotated)” Pablo Carlos Budassi / CC BY-SA 4.0 (cropped)
- Solving Problems in Field Theory and String Theory: “Simulation of Material Orbiting close to a Black Hole” ESO/Gravity Consortium/L. Calçada / CC BY 4.0 (cropped)
- Noncommutative Geometry: “Geometry illustration” 作者不詳 / Public domain (cropped)
- Mathematics Education: “Math Class in rural Egypt, 1991. Photo by Linda Herrera” Linda Herrera / CC BY-SA 4.0 (cropped)
- Related lab (大山口研究室): “Good luck knot(ABOK 2437)” Zaripov Rustem / CC BY-SA 4.0 (cropped)
- Related lab (小池研究室): “Gyroid surface with Gaussian curvature” 作者不詳 / Public domain (cropped)
- Related lab (山川研究室): “Algebraic surfaces” Ashton Bradley Aspir8 / CC BY-SA 4.0 (cropped)
- Related lab (新田研究室): “First eigenspace of the Bolza surface” Joroco246 / CC BY-SA 4.0 (cropped)
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