Our research theme is to develop algorithms and applications for discrete structures such as lattices, rings of integers, and point configurations on Euclidean spaces and manifolds, by using tools and theories of geometry of numbers, algebraic number theory, discrete mathematics, convex optimization, and analytical methods related to quadratic forms and diffraction theory of crystals and quasicrystals.
An Ab-Initio Indexing Method Using Conway's Topograph and Mathematical Ideas Behind It.
I noticed that I had never written in Japanese about this application of Conway's topograph.
Applications of lattice-basis reduction theory to crystal structure analysis
Packing theory derived from phyllotaxis and products of linear forms
Institute of Mathematics for Industry, Kyushu UniversityProfessor Ryoko Tomiyasu
The following are cited in International Tables Vol. H (volume of powder diffraction)