Myfanwy Evans, Frank Lutz, Bernd Sturmfels
Alexander Heaton (TU)
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.
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