I am a physicist interested in the mechanics of soft and living matter. Geometry and topology often provide a powerful lens for understanding the mechanisms governing material behavior. I apply this lens to the study of soft matter — such as thin elastic sheets and mechanical metamaterials — and to living tissues during morphogenesis, through which biology uses physics to sculpt complex forms.
I recently joined the Kavli Institute for Theoretical Physics at UC Santa Barbara as a postdoctoral fellow and am supported by the Helen Hay Whitney Foundation Fellowship. My PhD work at the University of Chicago revealed that amorphous structures can support topologically insulating phases of matter, explored how curvature controls the energetics and paths of cracks in thin sheets, explained fracture patterns in nanoparticle sheets stamped on corrugated substrates, and related findings. In my undergraduate years, I studied how fluid flows affect the evolution of dwarf galaxies.
N. P. Mitchell, L. M. Nash, D. Hexner, A. M. Turner, W. T. M. Irvine. “Amorphous topological insulators constructed from random point sets.” Nature Physics 14, 380–385 (2018) [link]
N. P. Mitchell, V. Koning, V. Vitelli, W. T. M. Irvine, “Fracture in sheets draped on curved surfaces.” Nature Materials 16, 89-93 (2017) [link]
N. P. Mitchell, R. Carey, J. Hannah, Y. Wang, M. Cortes, S. McBride, H. Jaeger. “Conforming nanoparticle sheets to surfaces with Gaussian curvature.” Soft Matter, 14, 9107 – 9117 (2018) [link]
N. P. Mitchell, L. M. Nash, W. T. M. Irvine. “Realization of a topological phase transition in gyroscopic lattices.” Physical Review B 97, 100302(R) (2018) [link]