Papers and Preprints (ordered by arXiv numbers)
(with Fabian Rupp)
Embeddedness and graphicality of the elastic flow for complete curves
preprint | arXiv:2508.18979
(with Kensuke Yoshizawa)
Stability of flat-core pinned p-elasticae
preprint | arXiv:2508.10314
(with Fabian Rupp)
A new energy method for shortening and straightening complete curves
J. Reine Angew. Math., published online first (open access), 50 pp. | arXiv:2504.03395
(with Florian Gruen)
Regularity and structure of non-planar p-elasticae
Math. Ann., published online first, 37 pp. | View-only PDF | arXiv:2501.07987
Migrating elastic flows II
Int. Math. Res. Not. IMRN 2025, no. 11, Paper No. rnaf148, 8 pp. | Free-access link | arXiv:2411.03751
Asymptotic circularity of immortal area-preserving curvature flows
preprint | arXiv:2410.06183
Smooth compactness of elasticae
to appear in 2025 MATRIX Annals [Invited] | arXiv:2409.00725
Elastic curves and self-intersections
to appear in 2024 MATRIX Annals [Invited] | arXiv:2408.03020
*Survey paper including a short introduction to classical elastica theory
(with Glen Wheeler)
The free elastic flow for closed planar curves
J. Funct. Anal. 289 (2025), no. 7, Paper No. 111030, 22 pp. | arXiv:2404.12619
(with Glen Wheeler)
Uniqueness and minimality of Euler's elastica with monotone curvature
J. Eur. Math. Soc. (JEMS), published online first, 23 pp. | arXiv:2402.12771
(with Kensuke Yoshizawa)
Variational stabilization of degenerate p-elasticae
J. Lond. Math. Soc. (2) 111 (2025), no. 3, Paper No. e70096, 25 pp. | arXiv:2310.07451
(with Tomoya Kemmochi)
Migrating elastic flows
J. Math. Pures Appl. (9) 185 (2024), 47--62. | arXiv:2303.12516 | Gallery
(with Kensuke Yoshizawa)
General rigidity principles for stable and minimal elastic curves
J. Reine Angew. Math. 810 (2024), 253--281. | arXiv:2301.08384
(with Kensuke Yoshizawa)
Pinned planar p-elasticae
Indiana Univ. Math. J. 73 (2024), no. 6, 2155--2208. | PDF | arXiv:2209.05721
(with Minoru Tanaka)
Delta-convex structure of the singular set of distance functions
Comm. Pure Appl. Math. 77 (2024), no. 9, 3631--3669. | View-only PDF | arXiv:2204.10449
(with Kensuke Yoshizawa)
Complete classification of planar p-elasticae
Ann. Mat. Pura Appl. (4) 203 (2024), no. 5, 2319--2356. | View-only PDF | arXiv:2203.08535
(with Marius Müller and Fabian Rupp)
Optimal thresholds for preserving embeddedness of elastic flows
Amer. J. Math. 147 (2025), no. 1, 33--80. | arXiv:2106.09549
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 | Gallery
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
Polar tangential angles and free elasticae
Math. Eng. 3 (2021), no. 4, Paper No. 034, 12 pp. [Invited] | PDF | arXiv:2004.06497
Geometric inequalities involving mean curvature for closed surfaces
Selecta Math. (N.S.) 27 (2021), Art. 80, 24 pp. | View-only PDF | arXiv:2004.01409
(with Felix Otto)
Sharp boundary ε-regularity of optimal transport maps
Adv. Math. 381 (2021), Paper No. 107603, 65 pp. | arXiv:2002.08668
(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
Elastic curves and phase transitions
Math. Ann. 376 (2020), no. 3--4, 1629--1674. | View-only PDF | arXiv:1710.05890
Overhanging of membranes and filaments adhering to periodic graph substrates
Phys. D 355 (2017), 34--44. | arXiv:1612.08532
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
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
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
Miscellaneous
Classification theory of planar p-elasticae
RIMS Kôkyûroku (2023), no. 2239, 60--70.
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.
On minimizers of Euler's elastica energy with an adhesion effect
RIMS Kôkyûroku (2017), no. 2046, 50--59.
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