#### Mathematical Materials Science -Mathematical Approaches for Materials Designs in the Data Driven Society-

##### Scope

Innovative functional materials can be created by recognizing the complex multi-scale hierarchical structures in materials systems from the atom/molecule scale to the macroscopic scale of materials and devices. Therefore, the understanding and the use of the multi-scale hierarchy are fundamental. Advanced Mathematics provides ideas and concepts to describe complex phenomena in disorder systems, random systems, low dimensional structures, and dynamical systems. We discuss mathematical approaches which bring new insight for Materials design in the data-driven society.

##### Topics

- Multiscale analysis
- Inverse Problem
- Topology
- Discrete Geometric Analysis
- Topological Materials
- Nonequilibrium materials
- Polymer
- Carbon network
- Data driven materials design

##### Symposium Keynote

#### Gregory GRASON

University of Massachusetts at Amherst

Soft Crystals: Minimal Froths versus Generalized Quantizers

#### Zhenghan WANG

University of California, Santa Barbara

Mathematics in Topological Materials for Quantum Computing

#### Gus HART

Brigham Young University

Machine-Learned Interatomic Potentials For Alloy Modeling

#### Mikio FURUTA

University of Tokyo

The Atiyah-Patodi-Singer index theorem and domain walls

##### Invited Speakers

- Koji HASHIMOTO, Osaka University Neural network as a discrete geometry for materials through holographic principle
- Koya SHIMOKAWA, Saitama University 3-Dimensional Topology and Poly-continuous Pattern
- Takeshi AOYAGI, National Institute of Advanced Industrial Science and Technology (AIST) Computational Study of the Microphase-Separated Structure and Elastic Property of Block Copolymers
- Hisashi NAITO, Nagoya University Carbon Structures and a Discrete Surface Theory
- Seiichi TAKAMI, Nagoya University Challenge with mathematics to fabricate microstructures using minimal surfaces
- Yoshifumi AMAMOTO, Kyushu University Structure-Property Relationship of Heterogeneous Elastomers Investigated by Network Centrality
- Akihisa ICHIKI, Nagoya University Optimization Problems in Data Driven Science –Fundamentals and Applications in Materials Informatics-

##### Organizers

- Motoko KOTANI Tohoku University
- Kazuto AKAGI Tohoku University
- Yasumasa NISHIURA Tohoku University
- Shin’ichi OISHI Waseda University
- Stephen Hyde Australian National University
- Christian Ratsch UCLA

##### Correspondence

- Kazuto AKAGI, Tohoku University Email: akagi@wpi-aimr.tohoku.ac.jp