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Functional Analysis, Operator Algebras, and Mathematical Physics Lab
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A lab applying operator algebras and noncommutative geometry to physics and other fields.
AboutAbout the lab
Applying operator algebras and noncommutative geometry to physics and beyond.
Associate Professor Chris Bourne studies operator algebra theory and noncommutative geometry, as well as their applications to physics and other fields.
He is an Associate Professor at the Institute of Liberal Arts and Sciences, Nagoya University, and is involved in the mathematics part of the G30 Program as an Affiliated Faculty member of the Graduate School of Mathematics.
He also serves as a Visiting Researcher at RIKEN iTHEMS.
The Events page of his website lists records of talks and workshops on index theory and topological phases.
Key terms
- Operator algebra theory
- A field of mathematics that studies algebras formed from collections of operators (a generalization of matrices) acting on infinite-dimensional spaces
- Noncommutative geometry
- A branch of geometry that studies the shape and properties of spaces using algebras in which changing the order of multiplication changes the result
ResearchResearch themes
Associate Professor Bourne works on operator algebra theory and noncommutative geometry, as well as their applications to physics and other fields. He organizes workshops and gives talks on themes such as index theory and topological phases.
View More ↗MembersFaculty
- Associate ProfessorChris Bourne
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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: “Central library physics and mathematics section” Mahi zahidi / CC BY-SA 4.0 (cropped)
- Related lab (関数解析学・偏微分方程式
（セルジュ・リシャール） ): “Centre de Physique Théorique de l'Ecole polytechnique (CPHT)” Ecole polytechnique / Paris / France / CC BY-SA 2.0 (cropped)
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