Applied and computational complex analysis
May 08, 2017  May 12, 2017
ICMS, 15 South College Street, Edinburgh, EH8 9AA
Organisers
Name  Institution 

Clarkson, Peter  University of Kent 
Crowdy, Darren  Imperial College London 
Fokas, Thanasis  University of Cambridge 
McDonald, Robb  University College London 
Pelloni, Beatrice  HeriotWatt 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.
Arrangements
This workshop will commence with Registration around 09.00 on Monday morning 8 May 2017 and close at lunchtime on Friday 12 May 2017.
Participation
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 “HeriotWatt University”). Unfortunately, we do not yet have an online 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.
Venue
The workshop will be held at ICMS, 15 South College Street, Edinburgh, EH8 9AA.
Talks
Talks will be allocated 40 minutes (which includes 510 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.
Public Lecture
On Wednesdy10 May, Peter Clarkson (University of Kent) will give a Public Lecture. Doors will open to the public at 17.30, with the lecture starting at 18.00. The lecture will be followed by an informal wine reception in the Chapterhouse on Level 1. Seats have been reserved for the workshop participants, so no action is needed to attend.
 Rogue waves, tsunamis and solitons
In 1834, John Scott Russell, a Scottish engineer, naval architect and shipbuilder, first observed a solitary wave whilst riding on horseback beside the narrow Union canal near Edinburgh. Scott Russell did extensive experiments in a laboratory scale wave tank in order to study the phenomenon he had observed. Subsequently, in the nineteenth century French, English and Dutch scientists undertook studies related to the solitary wave observed by Scott Russell.
It was not until the 1960's when scientists began to use modern computers, that Russell's ideas began to be fully appreciated. In 1965, Zabusky and Kruskal's numerical calculations led them to call these solitary waves "solitons". Subsequently it has been discovered that solitons arise in numerous applications such as water waves and fibre optics. Phenomena such as rogue waves (also known as freak waves), which are large unexpected, suddenly appearing waves that can be extremely dangerous, and tsunamis are related to solitons.
In this talk, I shall describe some of the history of the soliton and illustrate some of the applications.
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.
Travel
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 oneway 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.
Programme
Please note that this Programme may yet be subject to alteration.
Monday 8 May
09.0009.50  Registration 
09.5010.00  Opening remarks 
10.0010.40  Stefan Llewellyn Smith (University of California, San Diego) 
10.4011.20  Anastasia Kisil (University of Cambridge) 
11.2011.50  Coffee/tea 
11.5012.30  Alex Himonas (University of Notre Dame) 
12.3013.40  Lunch 
13.4014.20  Natalie Sheils (University of Minnesota/Institute for Math and Its Applications) 
14.2015.00  Elena Louca (University of California, San Diego) 
15.0015.30  Coffee/tea 
15.3016.10  David Abrahams (Isaac Newton Institute for Mathematical Sciences) 
16.1016.50  Kostas Kalimeris (RICAM, Austria) 
16.5017.20  Day 1 wrapup and discussion (Thanasis Fokas) 
17.2019.00  Wine reception 
Tuesday 9 May
09.2010.00  Rod Halburd (University College London) 
10.0010.40  Ana Loureiro (University of Kent) 
10.4011.10  Coffee 
11.1011.50  Claire Gilson (University of Glasgow) 
11.5012.30  Sara Lombardo (Nothumbria University) 
12.3013.40  Lunch 
13.4014.20  Elizabeth Mansfield (University of Kent) 
14.2015.00  Adri Olde Daalhuis (University of Edinburgh) 
15.0015.30  Coffee/tea 
15.3016.10  Alfredo Deaño (University of Kent) 
16.1016.50  David GómezUllate Oteiza (ICMAT and Universidad Complutense Madrid) 
16.5017.20  Day 2 wrap up and discussion (Peter Clarkson) 
Wednesday 10 May
9.2010.00  Peter Olver (University of Minnesota) 
10.0010.40  Olga Trichtchenko (ICERM, Brown University) 
10.4011.10  Coffee/tea 
11.1011.50  Mark MineevWeinstein (UFPE) 
11.5012.30  Tamara Grava (SISSA) 
12.3013.40  Lunch 
13.4014.20  Chris Howls (University of Southampton) 
14.2015.00  Day 3 wrapup and discussion (Darren Crowdy) 


17.3018.00  Doors open to the public 
18.0019.00  Public Lecture by Peter Clarkson (University of Kent) 
19.0020.00  Public lecture wine reception 
Thursday 11 May
09.2010.00  Linda Cummings (New Jersey Institute of Technology) 
10.0010.40  Folkmar Bornemann(Technische Universität München) 
10.4011.10  Coffee/tea 
11.1011.50  Anthony Davis (University of California, San Diego) 
11.5012.30  Gergő Nemes (University of Edinburgh) 
12.3013.40  Lunch 
13.4014.20  David Smith (YaleNUS College, Singapore) 
14.2015.00  John King (University of Nottingham) 
15.0015.30  Coffee/tea 
15.3016.10  Michael Dallaston (Imperial College London) 
16.1016.50  Iasonas Hitzazis (Imperial College London) 
16.5017.20  Day 4 wrapup and discussion (Beatrice Pelloni) 


19.00  Workshop dinner at Blonde 
Friday 12 May
10.0010.40  Bartosz Protas (McMaster University) 
10.4011.10  Coffee/tea 
11.1011.50  Mark Blyth (University of East Anglia) 
11.5012.30  Edward Johnson (University College London) 
12.30 13.00  Day 5 wrapup, discussion and close (Robb McDonald) 
Presentations:
Presentation Details  

Abrahams, I David  
Corner singularities and improved convergence of eigenfunction expansions in acoustics, electromagnetics and elasticity  
View Abstract  
Blyth, Mark  
Deformation of an elastic cell under inviscid flow  
View Abstract  
Bornemann, Folkmar  
Numerical problems inspired by discrete complex analysis  
View Abstract  
Cummings, Linda  
Slow viscous flows in doublyconnected domains  
View Abstract  
Dallaston, Michael  
Asymptotic selection of selfsimilar rupture solutions to a generalised thin film equation  
View Abstract  
Davis, Anthony  
Non existence of further closed form 2D sloshing modes in a symmetric triangular basin  
View Abstract  
Deaño, Alfredo  
Special function solutions of Painlevé II and IV: asymptotic and numerical study  
View Abstract  
Gilson, Claire  
Constructing and deconstructing solutions in ultra discrete integrable systems  
View Abstract  
GómezUllate Oteiza, David  
Durfee rectangles, exceptional Hermite polynomials and rational solutions to Painlevé equations  
View Abstract  
Grava, Tamara  
Universality of critical behaviour in Hamiltonian PDEs  
View Abstract  
Halburd, Rod  
Integrable delaydifferential equations  
View Abstract  
Himonas, Alex  
The unified transform method and wellposedness of nonlinear dispersive equations  
View Abstract  
Hitzazis, Iasonas  
Linear elliptic PDEs in a cylindrical domain with a polygonal crosssection  
View Abstract  
Howls, Chris  
Invisible catastrophes: when to turn an asymptotic blind eye  
View Abstract  
Johnson, Edward  
Rotating vortical outflows  
View Abstract  
Kalimeris, Kostas  
A nonlocal formulation for twodimensional water waves  
View Abstract  
Kisil, Anastasia  
Approximate matrix WienerHopf factorisations and applications to problems in acoustics  
View Abstract  
Llewellyn Smith, Stefan  
Solving matrix WienerHopf problems numerically via RiemannHilbert problems  
View Abstract  
Lombardo, Sara  
Linear stability analysis of integrable partial differential equations  
View Abstract  
Louca, Elena  
A new transform approach to biharmonic boundary value problems in polygonal and circular domains  
View Abstract  
Loureiro, Ana  
On starsymmetric polynomials with a classical behaviour  
View Abstract  
Mansfield, Elizabeth  
Discrete moving frames and discrete variational problems  
View Abstract  
MineevWeinstein, Mark  
Thermodynamics of the Laplacian growth  
View Abstract  
Nemes, Gergő  
Computable error bounds for asymptotic expansions of integrals via resurgence  
View Abstract  
Olde Daalhuis, Adri  
Computation of the coefficients appearing in the uniform asymptotic expansions of integrals  
View Abstract  
Olver, Peter  
Dispersive quantization of linear and nonlinear waves  
View Abstract  
Protas, Bartosz  
On the stability of freeboundary problems: a case study in vortex dynamics  
View Abstract  
Sheils, Natalie  
The heat equation with imperfect thermal contact in a composite medium  
View Abstract  
Smith, David  
Nonlocal problems for linear evolution equations  
View Abstract  
Trichtchenko, Olga  
Solutions and stability for flexuralgravity waves  
View Abstract 
Participants
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 
Clift, Richard  Loughborough University 
Crowdy, Darren  Imperial College London 
Cummings, Linda  New Jersey Institute of Technology 
Dallaston, Michael  Imperial College London 
Davis, Anthony  University of California, San Diego 
Deaño, Alfredo  University of Kent 
Fokas, Thanasis  University of Cambridge 
Gilson, Claire  University of Glasgow 
GómezUllate 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  HeriotWatt 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 
MineevWeinstein, Mark  UFPE 
Nemes, Gergő  University of Edinburgh 
Olde Daalhuis, Adri  University of Edinburgh 
Olver, Peter  University of Minnesota 
Pelloni, Beatrice  HeriotWatt University 
Protas, Bartosz  McMaster University 
Sheils, Natalie  University of Minnesota/Institute for Math and Its Applications 
Smith, David  YaleNUS College, Singapore 
Trichtchenko, Olga  ICERM, Brown University 