Raphael Assier


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Personal profile


I am a Reader in Applied Mathematics, within the Department of Mathematics at the University of Manchester.

I graduated from the Ecole Centrale de Lyon, and then worked as an engineer for Rolls-Royce (2006-2007, Derby), before returning to studying mathematics. Having obtained a MAST (formerly part III of the mathematical tripos) and a PhD in Applied Mathematics from the University of Cambridge (with Nigel Peake), I was a Postdoctoral Research Associate (2011-2013, with Xuesong Wu)  and then a Junior Research Fellow (2013) at Imperial College London. I was appointed to a lectureship in Manchester in December 2013, promoted to Senior Lecturer in 2017 and to Reader in 2021.

Research interests

I am a member of the research group Mathematics of Waves and Materials in the Department of Mathematics.

I am interested in canonical scattering problems and the mathematical theory of diffraction, both for the very nice and varied mathematics involved, but also for the industrial and physical applications behind it. In particular, I am very interested by the important problem of diffraction of waves (acoustic or electro-magnetic) by a quarter-plane or a plane sector. To find out more about it, please visit my research page on canonical scattering problems. Over the years, I have developed a keen interest in complex analysis, and in particular, in functions of several complex  variables and their applications to waves theory. You can find more about it on my complex analysis research page.

I have also recently been interested in problems of scattering of elastic waves, influenced by the strength of the Department of Mathematics in that area. 

I am also very interested in the mathematical and physical understanding of Combustion Instabilities. Again this is a problem that is not yet well understood and that gives rise to very interesting mathematical problems, with important applications in jet and rocket engines. You can find more about it on my research page on Combustion instability.

In general, I'm very interested in problems combining elegant mathematics with strong industrial applications.

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