Dr Michael Gomez

Career

  • 2018 - : Research Fellow, Peterhouse, University of Cambridge
  • 2018: EPSRC Doctoral Prize scheme, Mathematical Institute, University of Oxford
  • 2014-2018: DPhil Mathematics, Pembroke College, University of Oxford
  • 2013-2014: MSc Mathematical Modelling and Scientific Computing, Christ Church, University of Oxford
  • 2010-2013: BA Mathematics, Christ Church, University of Oxford

Research

I am a member of the Biological Physics and Mechanics research group in the Department of Applied Mathematics and Theoretical Physics. I like to apply mathematics to gain insight into physical phenomena, combining analytical techniques, numerical simulations and simple laboratory experiments. My main interest is in elastic instabilities, such as the rapid ‘snap-through’ observed in the leaves of the Venus flytrap and when an umbrella flips upwards on a windy day. Despite the ubiquity of such instabilities in nature and engineering, how fast the instability occurs (i.e. its dynamics) is often only understood qualitatively, with many examples reported of anomalous behaviour that is not well understood at a fundamental level. Other projects I have worked on include the behaviour of spherical shells under point indentation or ‘poking’, the interaction between elastic instabilities and viscous flows, and electrostatic ‘pull-in’ instabilities in microelectromechanical systems (MEMS).

Selected Publications