| Project/Area Number |
24KF0215
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Multi-year Fund |
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| Section | 外国 |
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| Review Section |
Basic Section 12020:Mathematical analysis-related
|
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| Research Institution | Institute of Science Tokyo |
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Principal Investigator |
利根川 吉廣 東京科学大学, 理学院, 教授 (80296748)
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| Co-Investigator(Kenkyū-buntansha) |
LOHMANN JULIUS 東京科学大学, 理学院, 外国人特別研究員
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| Project Period (FY) |
2024-11-15 – 2027-03-31
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| Project Status |
Granted (Fiscal Year 2024)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2026: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 2025: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2024: ¥300,000 (Direct Cost: ¥300,000)
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| Outline of Research at the Start |
In my research at Science Tokyo, I will focus on the topics geometric flows and optimal transportation. Both subjects consistently make use of techniques from geometric measure theory and variational calculus. Many instances of geometric flows, e.g. mean curvature flows, evolve into minimal surfaces. On the other hand, numerous optimal transportation problems are minimal surface problems, e.g. the determination of cost-efficient street networks in urban planning. Hence, both topics naturally correlate with each other. I will use knowledge from both topics to gain new insights into the other.
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