2024 MATRIX Annals Part I

The 2024 MATRIX Annals Part I, the seventh book in the MATRIX Book Series, documents scientific activities at MATRIX in the first half of 2024. Pre-publication versions of the articles in the book are posted below.

We expect that the 2024 MATRIX Annals Part I will be indexed by zbmath and mathscinet.

Preface

MATRIX-RIMS Tandem Workshop

Evolutionary Partial Differential Equations and Applications (Guest editor: Valentina Wheeler)

MATRIX Research Programs

Elliptic Partial Differential Equations, Geometry, and the Calculus of Variations
New Deformations of Quantum Field and Gravity Theories (Guest editors: Christian Ferko, Jock McOrist, and Gabriele TartaglinoMazzucchelli)
Dynamics and Computation
Nijenhuis Geometry and Integrable Systems II (Guest editor: Holger Dullin)
Instabilities of Flows in Porous Media (Guest editors: Michael Dallaston and Zhongzheng Wang)
Harmonic Analytic Connections (Guest editor: Alexandria Rose)
Low Dimensional Topology: Invariants of Links, Homology Theories, and Complexity (Guest editor: Dionne Ibarra)
Addressing New Modelling and Data Challenges revealed by the COVID-19 Pandemic (Guest editor: Joel Miller)

Refereed Articles

MATRIX Program: New Deformations of Quantum Field and Gravity Theories

Nicolò Brizio, Tommaso Morone, and Roberto Tateo
Stress-energy tensor deformations, Ricci flows and black holes

Christian Ferko and Cian Luke Martin
Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics

Gregory Gold, Saurish Khandelwal, and Gabriele Tartaglino-Mazzucchelli
Supergravity Component Reduction with Computer Algebra

Kiril Hristov
Equivariant localization and gluing rules in 4d N = 2 higher derivative supergravity

Fiona K. Seibold and Alessandro Sfondrini
AdS3 Integrability, Tensionless Limits, and Deformations: A Review

Dmitri Sorokin
The Incomprehensible Simplicity of PST

MATRIX Program: Nijenhuis Geometry and Integrable Systems II

Alexey V.Bolsinov, Andrey Yu. Konyaev, and Vladimir S. Matveev
Research problems on relations between Nijenhuis geometry and integrable systems

Ian Marquette, Damien McLeod, Serena Scapucci, and Andreas Vollmer
On Haantjes tensors for second-order superintegrable systems

Andrey Yu. Konyaev and Vladimir S. Matveev
Thoughts about potentials with finite-band spectrum and finite-dimensional reductions of integrable systems

Serena Scapucci
Classification of differentially non-degenerate left-symmetric algebras in dimension 3

MATRIX-RIMS Tandem Workshop: Evolutionary Partial Differential Equations and Applications

Danielle Hilhorst, Seungmin Kang, Ho-Youn Kim, Yong-Jung Kim
Diffusion laws and reaction term determine boundary conditions

Sachiko Ishida
Global boundedness in 1D tumor invasion system with chemotaxis effect

Ayuki Sekisaka and Hiroko Sekisaka-Yamamoto
Existence, uniqueness, and uniform boundedness of solutions to a reaction-diffusion equation involving a convolution term and multi-component reaction-diffusion system approximation

Tatsuya Miura
Elastic curves and self-intersections

James McCoy and Jahne Meyer
Semi-discrete linear geometric flows of closed polygons

MATRIX Program: Low Dimensional Topology: Invariants of Links, Homology
Theories, and Complexity

Rhea Palak Bakshi, Benjamin A. Burton, Huizheng Guo, Dionne Ibarra, Gabriel Montoya-Vega, Sujoy Mukherjee, and Józef H. Przytycki
Remarks on the Montesinos-Nakanishi 3-move conjecture

Rhea Palak Bakshi, Ali Guo, Dionne Ibarra, Gabriel Montoya-Vega, Sujoy Mukherjee, Marithania Silvero, Jonathan Spreer
Independence complexes of circle graphs

Lizzie Buchanan, Huizheng Guo, Gabriel Montoya-Vega, Yongwu Rong, and Marithania Silvero
On the notion of Khovanov A-adequacy

Joshua A. Howie, Dionne Ibarra, Daniel V. Mathews, Lecheng Su
Lambda lengths in the figure eight knot complement

Connie On Yu Hui, Dionne Ibarra, Louis H. Kauffman, Emma N. McQuire, Gabriel Montoya-Vega, Sujoy Mukherjee, and Corbin Reid
An unknotting robot

Other Contributed Articles

MATRIX Program: New Deformations of Quantum Field and Gravity Theories

G. Gold, P.-J. Hu, J. Hutomo, S. Khandelwal, M. Ozkan, Y. Pang, G.Tartaglino-Mazzucchelli 
On five-dimensional curvature squared supergravity and holography

J. M. Ibarra and E. E. Svanes
Recent Developments in Heterotic Moduli

MATRIX Program: Instabilities of Flows in Porous Media

Rodney Dharma and Andres E. Rubiano
Introduction to Saffman-Taylor instability in elastic Hele-Shaw cells

Emma Lepinay
Introduction to convection in porous media

Matthew Walker
The chemical basis of zebra rock patterning

Rodney Dharma, Andres E. Rubiano, and Yvonne M. Stokes
Drawing of Microstructured Optical Fibres: Modelling and Stability

Emily Chen and Nitay Ben-Shachar
Form, function, and failure shape preferred flow paths in porous media

Emily Chen and Nitay Ben-Schachar
Dynamics and instability in carbon storage

Nitay Ben-Shachar, Michael C. Dallaston, and Scott W. McCue
Thin filaments in Hele-Shaw cells

Sylvain Kabbadj, Laurence Rongy, Anne De Wit, and Andy Woods
Effect of a bimolecular chemical reaction on the convective dissolution of CO2

Emma Lepinay and Emily Chen
Viscous instability formation in a two-layer fluid

Fiaz Ur Rehman and Andy Woods
Effect of variable permeability on convection in porous media

Andres E. Rubiano and Marc A. Hesse
Non-Boussinessq convection in porous media

Matthew Walker
The chemical basis of zebra rock patterning

MATRIX Program: Harmonic Analytic Connections

Carlos Perez
Poincare-Sobolev theory without potential theory: connections with Harmonic Analysis

MATRIX Program: Addressing New Modelling and Data Challenges Revealed by the COVID-19 Pandemic

Thao P. Le, Sheryl Chang, Tom Harris, Camelia Walker, and Chris Baker
Challenges in ensemble infectious disease modelling — when can you trust your forecast?