Tatsuya Miura

ここは三浦達哉の個人ウェブサイトです。現在は京都大学の数学教室にいます。
（※ 数学教室は通称で、正式名称は下記所属の通りです。）

所属／職位：京都大学大学院理学研究科数学・数理解析専攻数学系／准教授
住所：〒606-8502 京都府京都市左京区北白川追分町京都大学理学研究科数学教室
居室：吉田キャンパス北部構内理学研究科3号館 324号室 [アクセス] [Google マップ]

経歴などより詳しい情報は researchmap をご覧ください。

Here is a personal website of Tatsuya Miura. I am a mathematician, and currently working at the Department of Mathematics of Kyoto University.

Position: Associate Professor
Postal address: Department of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan
My office: Room No. 324 (3rd floor), Graduate School of Science Bldg. No. 3, North Campus in Yoshida Campus [access] [Google Maps]

My complete CV is available in researchmap.

E-mail: tatsuya.miura [at-sign] math.kyoto-u.ac.jp

*Applicants who have graduated or expect to graduate from a university outside Japan and wish to study under my supervision as research students or graduate students should contact me through Kyoto University’s AAO system.

One of the two is me. (2022)

Research information

My main research interests are the calculus of variations, geometric analysis, and partial differential equations, with an emphasis on higher order problems. The topics include:

geometric variational problems (elastic curve, minimal surface, ...)
geometric flows (elastic flow, surface diffusion flow, mean curvature flow, area-preserving curvature flows, ...)
geometric inequalities (Li-Yau inequality, Topping conjecture, isoperimetric inequality, ...)
cut locus/ambiguous locus, optimal transport, micromagnetics, ...

Publication list

News & Schedule

News

June 3, 2026: New preprint with Fabian Rupp, where we introduce the calibration energy and apply it to mean curvature flow.
April 2, 2026: New preprint with Glen Wheeler on a new family of scale-critical curve diffusion flows.
December 31, 2025: New preprint with Slim Ibrahim, Carlos Román, and Ikkei Shimizu on 2D chiral magnetic fields of general topological degree.
August 27, 2025: New preprint with Fabian Rupp on positivity-preserving properties of the elastic flow for complete curves.

Schedule

August 2--7, 2026: Talk in the BIRS workshop "Geometric Flows and Related Topics" at Banff International Research Station (BIRS), Canada.
September 7--12, 2026: Talk in the workshop "PDEs in MOTION" at KIAS in Seoul, Korea.
September 14--18, 2026: We will organize an invitation-only workshop at RIMS: "MATRIX-RIMS Tandem-workshop: Geometric flows and related phenomena".
September 29--October 1: Talk in "The Second Workshop on Geometric Variational Problems, Geometric Measure Theory, and Related Topics" at NTNU & Academia Sinica in Taipei, Taiwan.
November 19--20: Give a lecture series in a Student Project "Studies on Problems in Geometric Relativity" at Nagoya University.