Papers and Preprints (ordered by arXiv numbers)

1. (with Glen Wheeler)
   The free elastic flow for closed planar curves
   preprint | arXiv:2404.12619

2. (with Glen Wheeler)
   Uniqueness and minimality of Euler's elastica with monotone curvature
   preprint | arXiv:2402.12771

3. (with Kensuke Yoshizawa)
   Variational stabilization of degenerate p-elasticae
   preprint | arXiv:2310.07451

4. (with Tomoya Kemmochi)
   Migrating elastic flows
   J. Math. Pures Appl. (9) 185 (2024), 47--62. | arXiv:2303.12516 | Movies

5. (with Kensuke Yoshizawa)
   General rigidity principles for stable and minimal elastic curves
   J. Reine Angew. Math. 810 (2024), 253--281. | arXiv:2301.08384

6. (with Kensuke Yoshizawa)
   Pinned planar p-elasticae
   to appear in Indiana Univ. Math. J. | arXiv:2209.05721

7. (with Minoru Tanaka)
   Delta-convex structure of the singular set of distance functions
   Comm. Pure Appl. Math. (39 pp., online first) | View-only PDF | arXiv:2204.10449

8. (with Kensuke Yoshizawa)
   Complete classification of planar p-elasticae
   Ann. Mat. Pura Appl. (38 pp., online first) | View-only PDF | arXiv:2203.08535

9. (with Marius Müller and Fabian Rupp)
   Optimal thresholds for preserving embeddedness of elastic flows
   to appear in Amer. J. Math. | arXiv:2106.09549

10. Li-Yau type inequality for curves in any codimension
    Calc. Var. Partial Differential Equations 62 (2023), no. 8, Paper No. 216, 28 pp. | PDF | arXiv:2102.06597 | Movie

11. A diameter bound for compact surfaces and the Plateau-Douglas problem
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 4, 1707--1721. | arXiv:2010.02797

12. Polar tangential angles and free elasticae
    Math. Eng. 3 (2021), no. 4, Paper No. 034, 12 pp. | PDF | arXiv:2004.06497

13. Geometric inequalities involving mean curvature for closed surfaces
    Selecta Math. (N.S.) 27 (2021), Art. 80, 24 pp. | View-only PDF | arXiv:2004.01409

14. (with Felix Otto)
    Sharp boundary ε-regularity of optimal transport maps
    Adv. Math. 381 (2021), Paper No. 107603, 65 pp. | arXiv:2002.08668

15. (with Shinya Okabe)
    On the isoperimetric inequality and surface diffusion flow for multiply winding curves
    Arch. Ration. Mech. Anal. 239 (2021), 1111--1129. | PDF | arXiv:1909.08816

16. Elastic curves and phase transitions
    Math. Ann. 376 (2020), no. 3--4, 1629--1674. | View-only PDF | arXiv:1710.05890

17. Overhanging of membranes and filaments adhering to periodic graph substrates
    Phys. D 355 (2017), 34--44. | arXiv:1612.08532

18. A characterization of cut locus for C^1 hypersurfaces
    NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 6, Art. 60, 14 pp. | View-only PDF | arXiv:1509.00546

19. Singular perturbation by bending for an adhesive obstacle problem
    Calc. Var. Partial Differential Equations 55 (2016), no. 1, Art. 19, 24 pp. | View-only PDF | arXiv:1502.04212

20. An example of a mean-convex mean curvature flow developing infinitely many singular epochs
    J. Geom. Anal. 26 (2016), no. 4, 3019--3026. | View-only PDF | arXiv:1411.6249 

Proceedings and Letters

1. Classification theory of planar p-elasticae
   RIMS Kôkyûroku (2023), no. 2239, 60--70. | PDF

2. Y. Goto,  T. Miura,  G. Hosono,  H.  Kodama,
   A suggestion of peripheral curves on hard contact lenses (in Japanese)
   Suurikagaku Jissenkenkyu Letter (2018), LMSR 2018-1.

3. On minimizers of Euler's elastica energy with an adhesion effect
   RIMS Kôkyûroku (2017), no. 2046, 50--59.