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.

- 2024/7/1論文
- A paper on mathematical methods for crystal lattices has been published in Acta Cryst A.
"Ideas of lattice-basis reduction theory for error-stable Bravais lattice determination and ab initio indexing", which explains fast methods for Bravais-lattice determination and lattice identification under observational errors.

- 2024/2/1Others
- All my open-source codes on OSDN (sourceforge.jp 10 years ago) have been moved to GitHub due to OSDN's constant connection troubles.

- 2024/2/29Paper
- The expository article on CONOGRAPH software was published from the Journal of the Crystallographic Society of Japan:
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.

- 2024/3/13Talk
- AIMR Math Group Seminar@AIMR, Tohoku University.

Applications of lattice-basis reduction theory to crystal structure analysis

（This talk is prepared for experimental scientists.）

- 2024/2/11--15Talk
- ANZIAM 2024@Adelaide Hills Convention Centre.

Packing theory derived from phyllotaxis and products of linear forms

- 2023/8/20-25Talk
- ICIAM 2023 Tokyo will be held at Waseda University.

Talk in Minisymposium " [02440] Advances in Optimization I"

[03117] A role of semidefinite relaxation in mathematics of phase retrieval

- 2023/2/1Others
- Returned from a maternity leave.

Institute of Mathematics for Industry, Kyushu UniversityProfessor *Ryoko Tomiyasu*

- History
- 2008 Research fellow IMSS, KEK → 2010 Ph.D of Mathematical Sciences (Supervised by Prof. Takayuki Oda of The University of Tokyo) → 2011 Assistant Professor IMSS, KEK → 2015 JST PRESTO Researcher (Nishiura lab of AIMR, Tohoku University) → 2016 Associated Professor, Yamagata University → 2019 Associated Professor, Kyushu University.

- Expertise
- Applied algebra, Number theory, Mathematical crystallography

I'm interested in algebra, discrete mathematics and number theory, and using them to solve various problems in nature.

My projects are supported by the following grants:

Grant-in-Aid for Scientific Research (C):“Study on discrete point sets to produce new applications of lattice theory and algebraic computation.”

JST FOREST:“Discrete modeling with a new biological-origin method for packing and mesh generation.”

- Multidisciplinary research
- I have been collaborating with the scientific community for many years, in order to find new mathematical problems. Software development works as a useful communication tool for this. I've also published papers based on mathematics including number theory(e.g., ambiguities in lattice determination), in response to the scientific community's need.

The following are cited in International Tables Vol. H (volume of powder diffraction)

- Powder autoindexing software Conograph CUI version (C++, OpenMP)
- Error-stable Bravais lattice determination program in CONOGRAPH (C++)
- Peak search program in CONOGRAPH (C++)

- Powder autoindexing software Conograph
- Rietveld analysis software (open source; Z-Rietveld code belongs to KEK as intellectual property. Please contact us if you want to use it.)