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Fundamental Analysis Lab (Kazuki Hiroe)
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A professor of fundamental analysis who specializes in the theory of algebraic differential equations and representation theory.
AboutAbout the lab
Differential equations and representation theory
Prof. Hiroe specializes in the theory of algebraic differential equations and representation theory.
Recent papers take up topics such as moduli spaces of meromorphic connections on the Riemann sphere, unfolding of irregular singularities, and middle convolution.
In the Department of Mathematics and Informatics, the professor belongs to the Fundamental Analysis area.
Key terms
- Representation theory
- A field that studies abstract structures such as groups and algebras by expressing them concretely as actions on matrices and vector spaces
- Irregular singular point
- A type of singular point of a differential equation around which the behavior of solutions becomes especially wild
- Moduli space
- A space obtained by gathering all mathematical objects of a given kind and treating the collection as a single space
ResearchResearch themes
The professor specializes in the theory of algebraic differential equations and representation theory.
View More ↗MembersFaculty
- Associate ProfessorKazuki Hiroe
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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: “Riemann sphere” Jean-Christophe BENOIST / CC BY-SA 3.0 (cropped)
- Related lab (Algebra Lab): “Rubik's cube, CN II” kaʁstn Disk/Cat / CC BY-SA 3.0 (cropped)
- Related lab (Applied Analysis Lab (Ishida)): “Dictyostelium Late Aggregation 2” Bruno in Columbus (talk) / Public domain (cropped)
- Related lab (Applied Analysis Lab (Masaya Maeda)): “Soliton de Peregrine” Christophe.Finot / CC BY-SA 3.0 (cropped)
- Related lab (Applied Analysis Lab (Hironobu Sasaki)): “Water ripples” Georgios Orfeas Katsouris / CC BY 4.0 (cropped)
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