IN – Track A

Project

IN-A2

Applications of Algebra in the Geometry of Materials

Project Heads

Myfanwy Evans, Frank Lutz, Bernd Sturmfels

Project Members

Alexander Heaton (TU)

Project Duration

Located at

Description

We propose to develop novel algebraic geometry tools to analyze and understand the microstructure of materials. In particular, we intend to examine framework material structures and to develop the formalisation and fundamental concepts required to study these structures using computational algebra and real algebraic geometry. We begin with a family of instances generated using enumerative techniques from geometry and topology, and extend the available tools based on these case studies.

Project Webpages

Selected Publications

Selected Pictures

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