Sadashige Ishida
Contact: sdsgisd(at)gmail.com Github: here |
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About Me
Welcome to my page! I'm researching mathematics and physics of natural phenomena. I'm especially interested in studying dynamics as infinite-dimensional geometry (e.g. hydrodynamics, optimal transport, and the space of space curves). Currently, I'm doing a PhD in mathematics at IST Austria. Prior to that, I spent a few years in optics industry and game industry after a master's study in mathematics.Research interests
Publications
Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation
with Hugo Lavenant Submitted. [Code] Concept: With no regularity assumptions on input measures, we prove the quantitative convergence of a discrete dynamic optimal transport toward the continuous one.
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Area formula for spherical polygons via prequantiation
with Albert Chern Submitted. Concept: A new area formula for spherical polygons derived via a prequantum circle bundle over \(\mathbb{S}^2\).
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Hidden Degrees of Freedom in Implicit Vortex Filaments
Sadashige Ishida, Chris Wojtan, Albert Chern ACM Transactions on Graphics (SIGGRAPH Asia 2022) Concept: An implicit representation of curve dynamics and its hidden degrees of freedom. |
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A Model for Soap Film Dynamics with Evolving Thickness
Sadashige Ishida*, Peter Synack*, Fumiya Narita, Toshiya Hachisuka, Chris Wojtan *joint first authors (alphabetical order) ACM Transactions on Graphics (SIGGRAPH 2020) Concept: A mathematical model for surface deformation and thickness evolution of soap films. |
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A Hyperbolic Geometric Flow for Evolving Films and Foams
Sadashige Ishida, Masafumi Yamamoto, Ryoichi Ando, Toshiya Hachisuka ACM Transactions on Graphics (SIGGRAPH ASIA 2017) Concept: A reformulation of soap film dynamics as a hyperbolic geometric flow. |
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Notes
Weak solutions of the semigeostrophic equations from a viewpoint of optimal transport
Description: A survey of the works of Figalli [2018] and of Benamou and Brenier [1998] on an application of optimal transport to the semigeostrophic equations. |
Introduction to compressed sensing
with Raimundo Saona
Description: Teaching materials of lectures on compressed sensing at IST Austria in 2020 (as a part of the mathmatics track core course). A goal of the lectures was to explain the result of Candes, Romberg, and Tao [2004]. |
Softwares and Demos
Evolving curves under different curvature flows.
[Brouser demo] [Video (Youtube)] [Source code (JavaScript)] |
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Kikan-bo (Stickers for LINE app)
In Japanese. It costs 120 yen (1 US dollar approximately). [Line app store] |
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Okome and Friends (Stickers for LINE app)
In Japanese. It costs 120 yen (1 US dollar approximately). [Line app store] |
Education/Working experience
Languages
Japanese (native), English (advanced), French (intermediate), German (elementary), Finnish (elementary)