IKE, Yuichi
Title
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Associate Professor |
Field
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Mirolocal sheaf theory, topological data analysis |
Research interests
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Applications of microlocal sheaf theory to geometry, persistent homology |
Current research
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I study microlocal sheaf theory and topological data analysis, especially persistent homology. Microlocal sheaf theory is a method to study sheaves on manifolds by analyzing them in cotangent bundles. I apply this theory to topology and symplectic geometry. Recently, I have been interested in studying non-smooth objects in symplectic geometry with sheaves. Topological data analysis is a field for studying the topology of data using various mathematical methods, such as persistent homology. I have studied the mathematical structure of persistent homology and its applications in combination with machine learning. |
Selected publications
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Memberships, activities and Awards |
The Japan Society for Industrial and Applied Mathematics
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