2024 MATRIX Annals

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

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

Preface Part 1 Part 2

MATRIX-MFO Tandem Workshop

Invariants in Low-Dimensional Topology: Combinatorics, Geometry, and Computation (Guest editors: Joan Licata and Stephan Tillmann)

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 Tartaglino-Mazzucchelli)
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)
Mathematics and Physics of Integrability (MPI 2024) (Guest editors: Patrick Dorey and Paul Pearce)
Multivariate Dependence Modeling: Theory and Applications (Guest editor: Laleh Tafakori)
Mathematical Models for Lipids and Cells in Atherosclerotic Plaques (Guest editor: Mary Myerscough)
The Geometry of Moduli Spaces in String Theory (Guest editors: Sebastien Picard and Jock McOrist)
Parameter Identifiability in Mathematical Biology
Applications of Topological Data Analysis to Mathematical Biology
Tensor Categories, Quantum Symmetries, and Mathematical Physics (Guest editor: James Tener)
Algebraic Geometry
Harmonic and Microlocal Analysis in Partial Differential Equations 

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

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

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

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

MATRIX-RIMS 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

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

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

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

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

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

MATRIX Program: Mathematics and Physics of Integrability

Adel Ben Moussa, Jules Lamers and Didina Serban
The q-deformed Haldane–Shastry chain at q = i with even length

Nicolo Brizio, Tommaso Morone and Roberto Tateo
A note on TT deformations and boundaries

Natalie Chung and Rafael I. Nepomechie
Quantum counting, and a relevant sign

Anastasia Doikou
Self-distributivity, braces, and the Yang-Baxter equation

Patrick Dorey and Brandon Morrison
Analytic continuation in the sinh-Gordon model

Angela Foerster and Jon Links
Superintegrable bosonic star networks

Andreas Klumper and Xin Zhang
On the XXX spin-1/2 quantum chain with non-diagonal boundary fields

Paul A. Pearce and Jørgen Rasmussen
Ocneanu algebra of seams: Critical unitary E6 RSOS lattice model

MATRIX Program: Multivariate Dependence Modelling: Theory and Applications

Arghadeep Basu and Arnab Hazra
A high-dimensional Bayesian skew-Gaussian spatial model for analyzing rainfall trends

Katarzyna Filipiak, Dietrich von Rosen, Martin Singull
Maximum likelihood estimation under inequality constraints in univariate linear models

Xinyao Fan and Harry Joe
Estimation of latent variables in high-dimensional factor models with weak residual dependence

MATRIX Program: Mathematical Models for Lipids and Cells in Atherosclerotic Plaques

Ryan J. Murphy, Adelle C.F. Coster, Jennifer A. Flegg, Joseph P. Ndenda, Mary R. Myerscough, and Helen M. Byrne
Quantifying bead accumulation inside a cannibalistic macrophage population

Keith L. Chambers, Adelle C.F. Coster, Jennifer A. Flegg, Ryan J. Murphy, Mary R. Myerscough, Joseph P. Ndenda, Jichao Pan, and Michael G. Watson
Atherosclerosis: reflections on mathematical modelling, data and other matters

Adelle C.F. Coster and Mary R. Myerscough
Macrophage efferocytosis and apoptosis

Adrianne L. Jenner, Angela M. Reynolds, Keith L. Chambers, Andrew J. Murphy, Helen M. Byrne, and Mary R. Myerscough
Investigating the impact of macrophage lineage on atherosclerotic plaque development using an agent-based model

MATRIX Program: The Geometry of Moduli Spaces in String Theory

Xenia de la Ossa, Magdalena Larfors, Matthew Magill and Eirik E. Svanes
Quantum aspects of heterotic G2 systems

Sebastien Picard
Calabi-Yau threefolds across quadratic singularities

Eric Sharpe
An overview of Bagger-Witten line bundles

Andoni de Arriba de la Hera, Mateo Galdeano and Mario Garcia-Fernandez
G2-structures with torsion and the deformed Shatashvili–Vafa vertex algebra

MATRIX Program: Tensor Categories, Quantum Symmetries, and Mathematical Physics

Eric C. Rowell and Yuze Ruan
Low-dimensional indecomposable representations of the braid group B3

Other Contributed Articles

MATRIX Program: New Deformations of Quantum Field and Gravity Theories

Gregory Gold, Peng-Ju Hu, Jessica Hutomo, Saurish Khandelwal, Mehmet Ozkan, Yi Pang, and Gabriele Tartaglino-Mazzucchelli
On five-dimensional curvature squared supergravity and holography

Javier Murgas Ibarra and Eirik Eik 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?

MATRIX Program: The Geometry of Moduli Spaces in String Theory

Xenia de la Ossa, Mohamed Elmi
Some identities for periods of Hulek-Verrill threefolds

Shinobu Hosono and Hiromichi Takagi
Mirror symmetry from families of Calabi-Yau manifolds

Johanna Knapp and Joseph McGovern
A single point as a Calabi-Yau zerofold

Mohamed Elmi, Joseph McGovern, and Emanuel Scheidegger
Classically modular points in moduli spaces of Calabi-Yau threefolds