Complex analysis in mathematical physics and applications

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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.

Timetable

Monday 28th October 2019
09:30 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from Christie Marr (INI Deputy Director)	No Room Required
10:00 to 11:00	Martine Ben Amar CNRS - Ecole Normale Superieure Paris; Université Pierre et Marie Curie Paris Complex analysis and nonlinear elasticity: the Biot instability revisited.	Room 1
11:00 to 11:30	Tea & coffee	No Room Required
11:30 to 12:30	John King University of Nottingham Complex-plane analysis of blow up in reaction diffusion	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:00	Clarissa Schoenecker Flows close to patterned, slippery surfaces	Room 1
14:00 to 14:30	Oleg Lisovyy Université François-Rabelais Tours Painlevé functions, accessory parameters and conformal blocks	Room 1
14:30 to 15:30	Ken McLaughlin Asymptotic analysis of Riemann-Hilbert problems and applications	Room 1
15:30 to 16:00	Tea & coffee	No Room Required
16:00 to 17:00	Dave Smith National University of Singapore Linear evolution equations with dynamic boundary conditions	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 29th October 2019
09:00 to 10:00	Scott McCue Queensland University of Technology Applying conformal mapping and exponential asymptotics to study translating bubbles in a Hele-Shaw cell	Room 1
10:00 to 11:00	Nick Moore Florida State University How Focused Flexibility Maximizes the Thrust Production of Flapping Wings	Room 1
11:00 to 11:30	Tea & coffee	No Room Required
11:30 to 12:30	Andrei Martinez-Finkelshtein Spectral curves, variational problems, and the hermitian matrix model with external source	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Maxim Yattselev On multiple orthogonal polynomials	Room 1
14:30 to 15:30	Tom Claeys Université Catholique de Louvain The lower tail of the KPZ equation via a Riemann-Hilbert approach	Room 1
15:30 to 16:00	Tea & coffee	No Room Required
16:00 to 17:00	Loredana Lanzani Syracuse University Cauchy-type integrals in multivariable complex analysis	Room 1

Wednesday 30th October 2019
09:00 to 18:00	Industrial Applications of Complex Analysis (Open for business day)	No Room Required

Thursday 31st October 2019
09:00 to 10:00	Peter Clarkson University of Kent Rational solutions of three integrable equations and applications to rogue waves	Room 1
10:00 to 11:00	Igor Krasovsky Imperial College London Hausdorff dimension of the spectrum of the almost Mathieu operator	Room 1
11:00 to 11:30	Tea & coffee	No Room Required
11:30 to 12:30	Michael Siegel New Jersey Institute of Technology Complex variable techniques applied to two problems in Stokes flow: rotation of a superhydrophobic cylinder, and evolution of multiple drops with surfactant	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Anna Zemlyanova Kansas State University Contact problems at nanoscale	Room 1
14:30 to 15:30	Robb McDonald University College London Growth of thin fingers in Laplacian and Poisson fields	Room 1
15:30 to 16:00	Tea & coffee	No Room Required
16:00 to 17:00	Kevin O'Neil The University of Tulsa Stationary vortex sheets and limits of polynomials	Room 1
19:30 to 22:00	Formal Dinner at St John's College (Wordsworth Room)	No Room Required

Friday 1st November 2019
09:00 to 10:00	Craig Tracy University of California, Davis Blocks in the asymmetric simple exclusion process	Room 1
10:00 to 11:00	Vladimir Mityushev Akademia Pedagogiczna Cluster method in the theory of fibrous elastic composites	Room 1
11:00 to 11:30	Tea & coffee	No Room Required
11:30 to 12:30	Takashi Sakajo Kyoto University Vortex dynamics on the surface of a torus	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Yuri Antipov Louisiana State University Diffraction by wedges: higher order boundary conditions, integral transforms, vector Riemann-Hilbert problems, and Riemann surfaces	Room 1
14:30 to 15:30	Gennady Mishuris Aberystwyth University Analyses of dynamic fault propagation in discrete structures	Room 1
15:30 to 16:00	Tea & coffee	No Room Required
16:00 to 17:00	Xie Xuming Morgan State University Existence results in interfacial flows with kinetic undercooling regularization in a time-dependent gap Hele-Shaw cell	Room 1

Complex analysis: techniques, applications and computations

Complex analysis in mathematical physics and applications

Organisers

Alexander Its Indiana University-Purdue University Indianapolis
Bartosz Protas McMaster University
Saleh Tanveer Ohio State University
Anna Zemlyanova Kansas State University

Speakers

Yuri Antipov Louisiana State University
Martine Ben Amar CNRS - Ecole Normale Superieure Paris
Tom Claeys Université Catholique de Louvain
Peter Clarkson University of Kent
John King University of Nottingham
Igor Krasovsky Imperial College London
Loredana Lanzani Syracuse University
Oleg Lisovyy Université François-Rabelais Tours
Andrei Martinez-Finkelshtein
Scott McCue Queensland University of Technology
Robb McDonald University College London
Ken McLaughlin
Gennady Mishuris Aberystwyth University
Vladimir Mityushev Akademia Pedagogiczna
Nick Moore Florida State University
Kevin O'Neil The University of Tulsa
Takashi Sakajo Kyoto University
Clarissa Schoenecker
Michael Siegel New Jersey Institute of Technology
Dave Smith National University of Singapore
Craig Tracy University of California, Davis
Xie Xuming Morgan State University
Maxim Yattselev
Anna Zemlyanova Kansas State University

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Participants

Mungo Aitken University of Cambridge
Yuri Antipov Louisiana State University
Peter Baddoo Imperial College London
Martine Ben Amar CNRS - Ecole Normale Superieure Paris; Université Pierre et Marie Curie Paris
Bruno Carneiro da Cunha Universidade Federal de Pernambuco
Jonathan Chapman University of Oxford
John Chapman Keele University
Tom Claeys Université Catholique de Louvain
Peter Clarkson University of Kent
Matthew Colbrook University of Cambridge
Darren Crowdy Imperial College London
Linda Cummings New Jersey Institute of Technology
Alfredo Deaño University of Kent
Tom DeLillo Wichita State University
Praveen Dhankar Rashtrasant Tukadoji Maharaj Nagpur University
Stephen Farnham Syracuse University
Marco Fasondini University of Kent
Thanasis Fokas University of Cambridge
Alexander Its Indiana University-Purdue University Indianapolis
Ted Johnson University College London
Thomas Kecker University of Portsmouth
John King University of Nottingham
Anastasia Kisil University of Manchester
Igor Krasovsky Imperial College London
Loredana Lanzani Syracuse University
Alan Legg Purdue University
Oleg Lisovyy Université François-Rabelais Tours
Stefan Llewellyn Smith UC San Diego
Bingying Lu Academia Sinica
Elena Luca University of California, San Diego
Pavel Lushnikov University of New Mexico; Landau Institute for Theoretical Physics
Georg Maierhofer University of Cambridge
Theo-Harris Maroudas Imperial College London
Andrei Martinez-Finkelshtein
Scott McCue Queensland University of Technology
Robb McDonald University College London
Ken McLaughlin
Gennady Mishuris Aberystwyth University
Irina Mitrea Temple University
Vladimir Mityushev Akademia Pedagogiczna
Nick Moore Florida State University
Takaaki Nara
Kevin O'Neil The University of Tulsa
Sheehan Olver Imperial College London
Anand Oza New Jersey Institute of Technology
Andrei Prokhorov University of Michigan
Bartosz Protas McMaster University
Takashi Sakajo Kyoto University
Koya Sakakibara Kyoto University; RIKEN
Pejman Sanaei New York University; New Jersey Institute of Technology
Clarissa Schoenecker
Yuuki Shimizu Kyoto University; University of Manchester
Michael Siegel New Jersey Institute of Technology
Dave Smith National University of Singapore
Saleh Tanveer Ohio State University
Craig Tracy University of California, Davis
Maria Christina van der Weele University of Cambridge
Jani Virtanen University of Reading
Andre Weideman Stellenbosch University
Xie Xuming Morgan State University
Maxim Yattselev
Anna Zemlyanova Kansas State University