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Exact Asymptotics: From Fluid Dynamics to Quantum Geometry (TP23EA)

The first TSVP Thematic Program "Exact Asymptotics: From Fluid Dynamics to Quantum Geometry" was held from August 1 - October 28, 2023. All activities took place at the Okinawa Institute of Science and Technology (OIST). In this news article you can learn more about the program and its aims.
The Topic
Asymptotic methods and perturbation theory are fundamental tools in applied mathematics. These methods have been employed for centuries and are now widely used in practically every field of physical science, from fluid mechanics and medical imaging to condensed matter physics and string theory. We hope to bring together at least four distinct communities within this wide realm, and encourage interaction between different fields:
Applied mathematics: Building on the work of Dingle and Berry in the late 20th century, applied exponential asymptotics is a mature field. There are many successful applications by a diverse range of practitioners to situations as diverse as: the dendritic growth of crystals; the coupling of multiple length scales in fluid flow; nonlinear mappings and chaotic motion; propeller energy flow and aeroacoustic jet noise.
Painleve equations: The solutions to Painleve equations may be regarded as nonlinear analogues of special functions. Painleve equations are ubiquitous in mathematical physics, serving as a beautiful and surprising bridge between classical and quantum physics: on the one hand, the solutions of Painleve equations are related to partition functions of gauge theores; on the other hand, they appear as self-similar reductions of the Korteweg-DeVries wave equation and its variations.
Quantum field theory and quantum geometry: Recently, exact asymptotic methods have gained a new life in the study of quantum fields and strings where these tools yield exact (nonperturbative) descriptions of quantum phenonena using perturbative data alone (e.g. Feynman diagram expansions). In the past decade, it has been observed that exact WKB analysis - a technique for making analytic sense of the WKB approximation in quantum mechanics - plays a fudamental role in describing protected sectors of certain quantum field theories. Recent work has also shown a connection to the theory of random matrices and topological recursion, among others.
Our Aims
We aim to bring together scientists of diverse backgrounds from around the world and encourage interdisciplinary interaction at the intersection of pure mathematics, applied mathematics, and theoretical physics. We will hold regular seminars and give each visitor the opportunity to present their research in a friendly setting to encourage all participants to understand eachother. Furthermore, we will hold:
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Mini courses: These will consist of three to five lectures providing an in-depth introduction to specific sub-topics within the program. The courses will be held towards the beginning of the program and will introduce the key ideas of the different participating communities.
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Seminars and colloquia: These events will present the latest progress in exact asymptotics and provide an opportunity for participants to showcase their work and encourage scientific exchange. Every participant will be encouraged to give a talk on their research.
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Symposium: A focused two-week symposium held between September 4 to September 15 on “Nonlinear Differential Equations and the Stokes Phenomenon"
We will also offer weekly social events and monthly cultural outings to experience Japanese and Okinawan culture, to encourage participants to interact in a more relaxed and informal setting.
Scientific Coordinators
Samuel Crew (Ruhr University Bochum), Harini Desiraju (University of Sydney), Omar Kidwai (University of Birmingham), Gergő Nemes (Tokyo Metropolitan University), Phil Trinh (University of Bath)
Participants
Below is a list of all researchers who participated in the TSVP Thematic Program "Exact Asymptotics: From Fluid Dynamics to Quantum Geometry" in August-October 2023. Their profiles can be found below.
Name | Arrival | Departure |
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Nicholas Williams | 2023/07/31 | 2023/10/03 |
Omar Kidwai | 2023/07/31 | 2023/10/28 |
Bingying Lu | 2023/08/01 | 2023/08/19 |
Samuel Crew | 2023/08/09 | 2023/10/30 |
Fabrizio Del Monte | 2023/08/13 | 2023/09/30 |
Masazumi Honda | 2023/08/17 | 2023/08/27 |
Harini Desiraju | 2023/08/18 | 2023/10/13 |
Pavlo Gavrylenko | 2023/08/20 | 2023/09/09 |
Kento Osuga | 2023/08/20 | 2023/08/30 |
Nicholas Dorey | 2023/08/25 | 2023/09/14 |
Adri B. Olde Daalhuis | 2023/08/27 | 2023/09/09 |
Gergő Nemes | 2023/08/27 | 2023/09/13 |
Robert Osburn | 2023/08/27 | 2023/09/16 |
Dan Dai | 2023/08/28 | 2023/09/09 |
Daniel Zhang | 2023/08/30 | 2023/09/29 |
Dylan Allegretti | 2023/09/02 | 2023/09/09 |
Phil Trinh | 2023/09/03 | 2023/09/15 |
Oleg Lisovyi | 2023/09/03 | 2023/09/20 |
Shinji Sasaki | 2023/09/03 | 2023/09/16 |
Akira Shudo | 2023/09/04 | 2023/09/10 |
Kohei Iwaki | 2023/09/05 | 2023/09/15 |
Yoshitsugu Takei | 2023/09/06 | 2023/09/16 |
Yumiko Takei | 2023/09/06 | 2023/09/13 |
Takeshi Kataoka | 2023/09/09 | 2023/09/15 |
Stephen Jonathan Chapman | 2023/09/10 | 2023/09/30 |
Chris Lustri | 2023/09/18 | 2023/10/02 |
Ines Aniceto | 2023/09/24 | 2023/10/08 |
Masazumi Honda | 2023/10/13 | 2023/10/19 |
Benedetta Facciotti | 2023/10/14 | 2023/10/28 |
Nikita Nikolaev | 2023/10/16 | 2023/10/28 |
Gergő Nemes | 2023/10/22 | 2023/10/27 |
Scientific Coordinators

Samuel Crew
MPI Security and Privacy and Computer Science, Ruhr University Bochum
Sam is interested in geometrical aspects of quantum field theory, resurgence and quantum information theory. He is currently at the Max Planck Institute for Security and Privacy and Ruhr University in Bochum, Germany. He completed his PhD in 2021 at the University of Cambridge under the supervision of Nick Dorey and previously worked at the University of Bath. www.samuelcrew.com

Harini Desiraju
SMRI, University of Sydney
Harini Desiraju is a postdoctoral fellow at Sydney Mathematical Research Institute (SMRI) and the University of Sydney in Sydney, Australia. Her research focuses on Integrable systems and conformal field theory. She graduated with a PhD from SISSA, Trieste in 2021 under the supervision of Marco Bertola and Tamara Grava. She has since held positions at University of Birmingham, UK and SLMath (formerly MSRI), US. harini-desiraju.html

Omar Kidwai
University of Birmingham, UK
Omar Kidwai is a research fellow in the Geometry & Mathematical Physics group at the University of Birmingham. He is interested in various geometric aspects of quantum field theory, particularly the role of exact WKB analysis and topological recursion in counting BPS states. He received his DPhil from the University of Oxford in 2018 and spent 2018-2019 as a postdoctoral fellow at the University of Toronto. He spent 2019-2022 as a JSPS Postdoctoral Fellow, first at Nagoya University and then the University of Tokyo.

Gergő Nemes
Tokyo Metropolitan University
Gergő Nemes is a specially appointed associate professor at Tokyo Metropolitan University. His research interests include exponential asymptotics, hyperasymptotics, exact WKB analysis and special functions. He completed his PhD under the supervision of Árpád Tóth at the Central European University in Budapest. He subsequently held positions at the University of Edinburgh, at Kindai University and at the Alfréd Rényi Institute of Mathematics. Since 2022, he is a contributing developer of the NIST Digital Library of Mathematical Functions. https://users.renyi.hu/~gergonemes/

Phil Trinh
University of Bath, UK
Phil Trinh is an Assistant Professor at the Department of Mathematical Sciences at the University of Bath, and leads a research group on the development of asymptotic methods for problems in the physical sciences. He is the current Director of the Centre for Nonlinear Mechanics at the university. His research is motivated by a range of physical applications in fluid and solid mechanics, from classical hydrodynamics and wave-structure interactions, to thin film flow and thermofluidic problems. His primary area of expertise concerns the study of problems that involve a breakdown of traditional techniques in perturbation theory requiring, e.g. the development of exponential asymptotics or asymptotics beyond-all-orders. Before coming to Bath, he held positions at the Mathematical Institute at the University of Oxford, and the Department of Mathematics at Princeton University. www.ptrinh.com
Program Participants

Fabrizio Del Monte
University of Sheffield
Fabrizio Del Monte is a Research Associate in the Algebraic Geometry and Mathematical Physics group at the University of Sheffield, after a CRM-ISM postdoctoral fellowship in Montreal and a PhD in SISSA, Trieste. His research investigates the relation between geometric and analytic aspects of Integrable Systems and nonperturbative aspects of Quantum Fields and String Theory, recently extended to encompass new applications of integrability techniques to Algebraic Geometry and Quiver Representation Theory. Personal website

Nicholas Williams
Lancaster University
Nicholas Williams is a postdoctoral researcher in mathematics at Lancaster University in the North West of England. He received his doctorate from the University of Cologne in Germany in 2022 and was subsequently a JSPS Research Fellow at the University of Tokyo. His research focuses on the representation theory of finite-dimensional algebras and has worked on its relation with combinatorics, particularly in relation to cluster algebras. Recently, his interests have expanded to include Donaldson--Thomas theory of quivers with potential and its relation with quadratic differentials. Personal website

Masazumi Honda
Yukawa Institute for Theoretical Physics and RIKEN iTHEMS
Masazumi Honda is an assistant professor at Yukawa Institute for Theoretical Physics and visiting scientist at RIKEN iTHEMS. He is interested in quantum field theory, string theory, quantum gravity, resurgence and quantum information theory. He received his Ph.D. in 2013 at SOKENDAI & KEK under the supervision of Jun Nishimura. In the context of resurgence, he wrote several papers on applications to supersymmmetric gauge theories. He recently started to work also on applications to cosmology and quantum gravity. Private website