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Faculty of Mathematics

 

For more information visit my personal website.

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 desktop-scale 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. 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

 

Publications

Dynamics of viscoelastic snap-through
M Gomez, DE Moulton, D Vella
– Journal of the Mechanics and Physics of Solids
(2019)
124,
781
Pull-in dynamics of overdamped microbeams
M Gomez, D Vella, DE Moulton
– Journal of Micromechanics and Microengineering
(2018)
28,
115002
Delayed pull-in transitions in overdamped MEMS devices
M Gomez, DE Moulton, D Vella
– Journal of Micromechanics and Microengineering
(2018)
28,
015006
Passive Control of Viscous Flow via Elastic Snap-Through.
M Gomez, DE Moulton, D Vella
– Physical Review Letters
(2017)
119,
144502
Critical slowing down in purely elastic ‘snap-through’ instabilities
M Gomez, DE Moulton, D Vella
– Nature Physics
(2017)
13,
142
The shallow shell approach to Pogorelov's problem and the breakdown of ‘mirror buckling’
M Gomez, DE Moulton, D Vella
– Proceedings of the Royal Society A
(2016)
472,
20150732

Research Group

Biological Physics and Mechanics

Room

H0.08

Telephone

01223 339734