Te Tari Pāngarau me te Tatauranga
Department of Mathematics & Statistics
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Dr Fabien Montiel

Office: Science III, room 514
Phone: 479-7760

My research in 2 minutes (Science Media SAVVY)


  • The special issue Fluids in New Zealand published in the Journal of the Royal Society of New Zealand, co-edited by Prof. Mathieu sellier, A/P. Geof Wilmott and myslef, is now completed. Check out our editorial.

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Research interests

Multiple scattering theory

  • Linear wave propagation in random or periodic media.

Approximation methods for partial differential equations

  • Eigenfunction matching techniques, Integral equation/Galerkin method, S-matrix method, multipole technique, Green's functions ...

Fluid/structure interactions

  • Hydroelasticity, locally resonant structutres, rainbow trapping, ...


  • Ocean waves in the marginal ice zone, ocean transport, smart coastal technologies (breakwater, wave energy converters), sonic crystals, ...

Postgraduate students


  • Yiming Ma (PhD, expected completion in 2022), co-supervised with A/P. Ting Wang.

project: Mathematical and statistical modeling of slow slip events.

  • Nicolas Mokus (PhD, expected completion in 2022).

project: Large scale modelling of wave-induced sea ice breakup in the marginal ice zone.

  • Ben Wilks (PhD, expected completion in 2023), co-supervised with A/P. Sarah Wakes.

project: Rainbow Trapping in Water Waves.

  • Aiden Pons (Master, expected completion in 2021).

project: Simulating ocean waves in the Ross Sea marginal ice zone using WaveWatch III.


thesis: Contemporary wave–ice interaction models.

Funded research projects

Current projects

  • How vulnerable are Antarctica's coasts to colonisation? (2021-2024), Marsden Fund project administered by Royal Society Te Apārangi.
  • Seasonal and Interdecadal variability of sea ice in the Ross Sea (2019-2025), NZ Government funded project as part of the Antarctic Science Platform (project 4).
  • Breaking the ice: process-informed modelling of sea ice erosion due to ocean wave interactions (2019-2022), Marsden Fast Start project administered by Royal Society Te Apārangi.

Past projects


Journal articles

Conference proceedings (refereed)

Non-refereed publications

  • Willmott, G., Sellier, M., Wilgar, C. and Montiel, F. (2021). Ka rere ngā mea katoa – everything flows. Journal of the Royal Society of New Zealand, 51, 187–193. DOI:10.1080/03036758.2021.1912120.
  • Montiel, F., Bennetts, L.G., Chung, H., Kessissoglou, N. & McPhedran, R. (2020). Theoretical and numerical advances in wave science (editorial), Wave Motion, 92, 102392. DOI:10.1016/j.wavemoti.2019.102392.

PhD thesis