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J-GLOBAL ID：201901000585323670
Update date: Dec. 20, 2024
MIURA Tatsuya
ミウラ タツヤ | MIURA Tatsuya
Affiliation and department：
Job title：
Associate Professor
Homepage URL (1)：
https://sites.google.com/view/tatsuya-miura
Research field (2)：
Geometry
, Mathematical analysis
Research theme for competitive and other funds (11)：
- 2024 - 2029 Higher order geometric variational problems and gradient flows
- 2023 - 2028 Canonical mean curvature flow and its application to evolution problems
- 2021 - 2026 Analysis on singularities of higher order geometric gradient flows
- 2020 - 2024 Study of properties of solutions to geometric higher order variational problems
- 2019 - 2023 Mathematical analysis of confined elastic surfaces
- 2022 - 2023 Variational and geometric analysis of higher order problems
- 2019 - 2023 Multifaceted studies on dynamical problems in the calculus of variations using geometric measure theory
- 2020 - 2021 Action research on building a network among researchers to arising creative collaboration
- 2019 - 2020 Development of Mathematical Analysis towards Biophysics
- 2018 - 2019 Study of effects of curvatures and the shapes of solutions in nonlinear problems
- 2015 - 2018 材料科学に現れる表面・界面支配モデルの数学解析
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Papers (19)：
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Tatsuya Miura, Kensuke Yoshizawa. Variational stabilization of degenerate p-elasticae. to appear in Journal of the London Mathematical Society. 2024
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Tatsuya Miura, Kensuke Yoshizawa. Complete classification of planar p-elasticae. Annali di Matematica Pura ed Applicata. 2024. 203. 5. 2319-2356
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Tatsuya Miura, Minoru Tanaka. Delta-convex structure of the singular set of distance functions. Communications on Pure and Applied Mathematics. 2024. 77. 9. 3631-3669
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Tatsuya Miura. Elastic curves and self-intersections. to appear in 2024 MATRIX Annals. 2024
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Tatsuya Miura, Kensuke Yoshizawa. General rigidity principles for stable and minimal elastic curves. Journal für die reine und angewandte Mathematik (Crelles Journal). 2024. 2024. 810. 253-281
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MISC (8)：
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Tatsuya Miura. Migrating elastic flows II. arXiv:2411.03751. 2024
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Tatsuya Miura. Asymptotic circularity of immortal area-preserving curvature flows. arXiv:2410.06183. 2024
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Tatsuya Miura. Smooth compactness of elasticae. arXiv:2409.00725. 2024
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Tatsuya Miura, Glen Wheeler. The free elastic flow for closed planar curves. arXiv:2404.12619. 2024
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Tatsuya Miura, Glen Wheeler. Uniqueness and minimality of Euler's elastica with monotone curvature. arXiv:2402.12771. 2024
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Lectures and oral presentations (95)：
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Escher--Ito's problem for area-preserving curvature flows
(MSJ Spring Meeting 2023 2025)
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TBA
(Gradient Flows in Geometry and PDE 2025)
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TBA
(Geometry and Probability 2024 2025)
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Delta-convex structure of the singular set of distance functions
(The 9th Japan-China Geometry Conference 2024)
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Uniqueness and minimality in Euler's elastica problem
(14th AIMS Conference "SS73: Nonlinear elliptic and parabolic equations and related functional inequalities")
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Education (4)：
- 2015 - 2017 The University of Tokyo Graduate School of Mathematical Sciences Doctoral Course (Supervisor: Yoshikazu Giga)
- 2013 - 2015 The University of Tokyo Graduate School of Mathematical Sciences Master Course (Supervisor: Yoshikazu Giga)
- 2011 - 2013 The University of Tokyo Faculty of Science Department of Mathematics
- 2009 - 2011 The University of Tokyo College of Arts and Sciences Natural Sciences I
Professional career (1)：
- PhD (Mathematical Sciences) (The University of Tokyo)
Work history (7)：
- 2024/04 - 現在 Kyoto University Graduate School of Science Division of Mathematics Associate Professor
- 2021/07 - 2024/04 Tokyo Institute of Technology Department of Mathematics Associate Professor
- 2019/02 - 2021/06 Tokyo Institute of Technology Department of Mathematics Assistant Professor
- 2018/04 - 2019/01 Japan Society for the Promotion of Science Research Fellow (PD)
- 2017/10 - 2018/12 Max Planck Institute for Mathematics in the Sciences Postdoctoral Fellow (Felix Otto Group)
- 2015/04 - 2018/01 Japan Society for the Promotion of Science Research Fellow (DC1-PD)
- 2013/10 - 2017/09 Leading Graduate Course for Frontiers of Mathematical Sciences and Physics FMSP Course Student
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Committee career (2)：
- 2024/04 - 現在 Division of Functional Equations, Mathematica Society of Japan Information Committee
- 2021/07 - 2024/03 Kodai Mathematical Journal Editorial board
Awards (8)：
- 2022/09 - Tokyo Institute of Technology Tokyo Tech Challenging Research Award
- 2021/12 - Tokyo Institute of Technology School of Science Research Award for Young Scientists
- 2019/02 - Inoue Foundation for Science Inoue Research Award for Young Scientists
- 2018/03 - Japan Society for the Promotion of Science Ikushi Prize
- 2018/03 - Graduate School of Mathematical Sciences, The University of Tokyo Dean's Award for PhD Thesis
- 2017/09 - The Mathematical Society of Japan MSJ Takebe Katahiro Prize for Encouragement of Young Researchers
- 2015/03 - Graduate School of Mathematical Sciences, The University of Tokyo Dean's Award for Master Thesis
- 2015/02 - Northeastern Symposium on Mathematical Analysis Excellent Poster Award
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Association Membership(s) (1)：
The Mathematical Society of Japan
