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Complex analysis in mathematical physics and applications


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28th October 2019 to 1st November 2019
Bartosz Protas
Alexander Its
Saleh Tanveer
Anna Zemlyanova

Workshop theme:

From pioneering work of the last century on classical problems in linear elasticity, groundwater flow, and the Hele-Shaw and Stokes flow free boundary problems, several new and surprising connections to other topics in mathematical physics have emerged.  Complex analysis and algebraic geometry lie at the root of many of these connections, and this workshop will bring together varied contributors in these areas. In general, application areas of complex variable theory have expanded hugely over the past 10-15 years from earlier roots in applications to fluid mechanics and linear elasticity. The workshop will focus on a number of key themes selected from diverse modern application areas of complex analysis such as conformal field theory, integrable hierarchies, image analysis, statistical mechanics, singularity formation in PDEs, asymptotics beyond all orders, Painlev\'e transcendents and random matrices.  These emerging themes will be complemented by a survey of modern approaches in the classical areas mentioned above.


Deadline for applications: 28th July 2019

CAT programme participants DO NOT need to apply, programme participants with visit dates during CATW02 will automatically be added to the attendee list.

Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.

In addition to visiting the INI, there are multiple ways in which you can participate remotely.

Apply now


Registration Only    
  • Registration Package: £210
  • Student Registration Package: £160

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only
  • Formal Dinner: £50

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.  Please see the Hotels Combined website for a list of local hotels and guesthouses.



Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner will take place Wednesday 31st October at St John's College. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons