Entrance hall of the ICMS

Applied and computational complex analysis

May 08, 2017 - May 12, 2017

ICMS, 15 South College Street, Edinburgh, EH8 9AA


Name Institution
Clarkson, Peter University of Kent
Crowdy, Darren Imperial College London
Fokas, Thanasis University of Cambridge
McDonald, Robb University College London
Pelloni, Beatrice Heriot-Watt University


Bringing together mathematicians, at all career stages, who share an interest in using fundamental complex analysis methods  this workshop will explore new and deep mathematical connections between shapes, transforms, spectral analysis and inverse problems. The programme is deliberately wide in scope with participants having research interests covering aspects of the theoretical development of complex analysis, associated computational methods and application to problems of medical, industrial and geophysical importance.The following challenges will be addressed at the workshop:

• Shape evolution in interface dynamics.
• Shape emergence in the Painlevé equations.
• Special function theory and asymptotics.
• Spectral analysis, transforms and medical imaging.

The organisers expect that the workshop will: allow for an  an exchange of the latest  developments and results of researchers covering a wide range of applied and computational complex analysis and, consequently, raising of the awareness of the power of these approaches to the next generation of applied mathematicians;  that outstanding problems will be identified, both theoretical and applied, which can be tackled using complex analysis and associated numerical methods; and importantly that there will be the initiation of collaborations, especially between researchers working in different areas of applied and computational complex analysis. Ultimately, it is anticipated that the mathematical techniques discussed and developed as a result of the workshop should eventually become widely used in industrial, biological and physical applications.



This workshop will commence on Monday morning 8 May 2017 and close at lunchtime on Friday 12 May 2017. 


Participation for this workshop will be by invitation only.   ICMS will issue invitations in January 2017. 


Registration fee
A registration fee of 100.00 GBP is payable by all participants (excluding Organisers).  Payment can be made on arrival at ICMS - at Registration we will accept cash, credit/debit card payments and sterling cheques (payable to “Heriot-Watt University”).  Unfortunately, we do not yet have an on-line payment system at ICMS.   If you wish to pay by credit/debit card, please complete this credit/debit card form and bring the completed form to Registration.   


The workshop will be held at ICMS, 15 South College Street, Edinburgh, EH8 9AA. 


Talks will be allocated 40 minutes (which includes 5-10 minutes of questions/answers).  Talks will be held in the Newhaven Lecture Theatre.  The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards.  The projector and one board may be used simultaneously.  It is best to bring your presentation on a memory stick to use in our ICMS computer.  Alternatively, it is possible for you to use your own laptop with our dataprojector, but please be aware that you may have to alter your laptop resolutions/settings.  


UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one. 


Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street.  If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre.    Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre.  For ICMS, use Edinburgh Waverley.



To be announced


Presentation Details
Abrahams, I David
Corner singularities and improved convergence of eigenfunction expansions in acoustics, electromagnetics and elasticity
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Blyth, Mark
Deformation of an elastic cell under inviscid flow
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Bornemann, Folkmar
Numerical problems inspired by discrete complex analysis
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Cummings, Linda
Slow viscous flows in doubly-connected domains
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Dallaston, Michael
Asymptotic selection of self-similar rupture solutions to a generalised thin film equation
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Deaño, Alfredo
Special function solutions of Painlevé II and IV: asymptotic and numerical study
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Gilson, Claire
Constructing and deconstructing solutions in ultra discrete integrable systems
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Gómez-Ullate Oteiza, David
Durfee rectangles, exceptional Hermite polynomials and rational solutions to Painlevé equations
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Grava, Tamara
Universality of critical behaviour in Hamiltonian PDEs
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Halburd, Rod
Integrable delay-differential equations
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Himonas, Alex
The unified transform method and well-posedness of nonlinear dispersive equations
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Hitzazis, Iasonas
Linear elliptic PDEs in a cylindrical domain with a polygonal cross-section
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Johnson, Edward
Rotating vortical outflows
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Kisil, Anastasia
Approximate matrix Wiener-Hopf factorisations and applications to problems in acoustics
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Llewellyn Smith, Stefan
Solving matrix Wiener-Hopf problems numerically via Riemann-Hilbert problems
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Lombardo, Sara
Linear stability analysis of integrable partial differential equations
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Louca, Elena
A new transform approach to biharmonic boundary value problems in polygonal and circular domains
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Loureiro, Ana
On star-symmetric polynomials with a classical behaviour
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Mansfield, Elizabeth
Discrete moving frames and discrete variational problems
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Mineev-Weinstein, Mark
Thermodynamics of the Laplacian growth
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Olver, Peter
Dispersive quantization of linear and nonlinear waves
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Protas, Bartosz
On the stability of free-boundary problems: a case study in vortex dynamics
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Sheils, Natalie
The heat equation with imperfect thermal contact in a composite medium
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Smith, David
Nonlocal problems for linear evolution equations
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Trichtchenko, Olga
Solutions and stability for flexural-gravity waves
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Vasconcelos, Giovani
Time-dependent solutions and the selection problem for multiple bubbles in a Hele-Shaw cell
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Name Institution
Abrahams, I David Isaac Newton Institute for Mathematical Sciences
Blyth, Mark University of East Anglia
Bornemann, Folkmar Technische Universität München
Clarkson, Peter University of Kent
Crowdy, Darren Imperial College London
Cummings, Linda New Jersey Institute of Technology
Dallaston, Michael Imperial College London
Deaño, Alfredo University of Kent
Fokas, Thanasis University of Cambridge
Gilson, Claire University of Glasgow
Gómez-Ullate Oteiza, David ICMAT and Universidad Complutense Madrid
Grava, Tamara SISSA
Halburd, Rod University College London
Himonas, Alex University of Notre Dame
Hitzazis, Iasonas University of Cambridge
Howison, Sam University of Oxford
Howls, Chris University of Southampton
Johnson, Edward University College London
Kalimeris, Kostas RICAM, Austria
King, John University of Nottingham
Kisil, Anastasia University of Cambridge
Lacey, Andrew Heriot-Watt University
Llewellyn Smith, Stefan University of California, San Diego
Lombardo, Sara Nothumbria University
Louca, Elena University of California, San Diego
Loureiro, Ana University of Kent
Mansfield, Elizabeth University of Kent
McDonald, Robb University College London
Mineev-Weinstein, Mark UFPE
Olver, Peter University of Minnesota
Pelloni, Beatrice Heriot-Watt University
Protas, Bartosz McMaster University
Sheils, Natalie University of Minnesota/Institute for Math and Its Applications
Smith, David Yale-NUS College, Singapore
Trichtchenko, Olga ICERM, Brown University
Vasconcelos, Giovani Universidade Federal de Pernambuco