L'Hopital rules for complex-valued functions in higher dimensions
A. Chern, S. Ishida, ArXiv (n.d.).

Symplectic structures on the space of space curves
M. Bauer, S. Ishida, P.W. Michor, Journal of Nonlinear Science 36 (2026).

Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation
S. Ishida, H. Lavenant, Foundations of Computational Mathematics 26 (2026) 349–384.

Symplectic-prequantum structures and dynamics on the codimension-2 shape space
S. Ishida, Symplectic-Prequantum Structures and Dynamics on the Codimension-2 Shape Space, Institute of Science and Technology Austria, 2025.

Implicit representations of codimension-2 submanifolds and their prequantum structure
A. Chern, S. Ishida, ArXiv (n.d.).

Area formula for spherical polygons via prequantization
A. Chern, S. Ishida, SIAM Journal on Applied Algebra and Geometry 8 (2024) 782–796.

Symplectic structures on the space of space curves
M. Bauer, S. Ishida, P.W. Michor, ArXiv (n.d.).

Hidden degrees of freedom in implicit vortex filaments
S. Ishida, C. Wojtan, A. Chern, ACM Transactions on Graphics 41 (2022).

A model for soap film dynamics with evolving thickness
S. Ishida, P. Synak, F. Narita, T. Hachisuka, C. Wojtan, ACM Transactions on Graphics 39 (2020).