2021-22 MATRIX Annals

The 2021-22 MATRIX Annals, the fifth book in the MATRIX Book Series, documents scientific activities at MATRIX in 2021-2022. Pre-publication versions of the articles in the book are posted below.

We expect that the 2021–22 MATRIX Annals will be indexed by zbmath and mathscinet.


MATRIX-MFO Workshops

Invariants and Structures in Low-Dimensional Topology (Guest editors: Stefan Friedl, Jessica Purcell, Arunima Ray, Stephan Tillmann)

Rough Wave Equations


Integrable Probability, Combinatorics and Representation Theory


Singularities in Geometric Flows: An Ancient Perspective
Nijenhuis Geometry and Integrable Systems

MATRIX Programs

Integrability and Combinatorics at Finite Temperature
Structured Random Matrices in Down Under
Women in Geometry, Analysis and Topology
Isoperimetric Inequalities in Geometric Partial Differential Equations
Groups and Geometries (Guest editor: Anne Thomas)
Quantum Curves, Integrability and Cluster Algebras (Guest editor: Norman Do)
2D Supersymmetric Theories and Related Topics (Guest editor: Emanuel Scheidegger)
Dynamics, Foliations, and Geometry II (Guest editor: Holger Dullin)
Frontiers in Representation Theory
Structural Graph Theory Downunder II (Guest editors: Tony Huynh and Liana Yepremyan)
Hyperbolic Differential Equations in Geometry and Physics (Guest editor: Volker Schlue)
Symmetry for Group Actions in Differential Geometry
Mathematics of Tissue Dynamics (Guest editors: Ryan Murphy, Domenic Germano, Adriana Zanca)
Cell Motility in Dynamic Environments
Theory and Applications of Stable Polynomials (Guest editor: James Saunderson)
Mathematics of Risk 2022 (Guest editor: Kais Hamza)
IBS-CGP & MATRIX Workshop on Symplectic Topology (Guest editor: Marco Yat-Hin Suen)
Mathematics of the Interactions between Brain Structure and Brain Functions (Guest editor: Sergiy Shelyag)
Convexity, Geometry and Computation

Refereed Articles

MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology

J. Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann
A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds

MATRIX Program: Groups and Geometries

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
Concrete one complex dimensional moduli spaces of hyperbolic manifolds and orbifolds: Kleinian groups and the generalised Riley slices

MATRIX Program: Quantum Curves, Integrability and Cluster Algebras

Kowshik Bettadapura
First properties of supermanifolds, their functor of points and the DeWitt topology

MATRIX Program: 2D Supersymmetric Theories and Related Topics

Daniele Bielli
On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models

Kaiwen Sun
On Twisted Elliptic Genera

Daniel Grumiller, Martin Laihartinger, Romain Ruzziconi
Minkowski and (A)dS ground states in general 2d dilaton gravity

Ulf Lindström
2d Sigma Models and Geometry

Eric Sharpe
An introduction to decomposition

MATRIX Program: Structural Graph Theory Downunder II

Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan, David R. Wood
Product Structure of Graph Classes with Bounded Treewidth

Katie Clinch, Jackson Goerner, Tony Huynh, Freddie Illingworth
Notes on Aharoni’s rainbow cycle conjecture

Marc Distel, David R. Wood
Tree-Partitions with Bounded Degree Trees

Robert Hickingbotham, Freddie Illingworth, Bojan Mohar, David R. Wood
Treewidth, Circle Graphs and Circular Drawings

MATRIX Program: Hyperbolic Differential Equations in Geometry and Physics

Arick Shao
Bulk-boundary correspondences and unique continuation in asymptotically Anti-de Sitter spacetimes

Dean Baskin, Kiril Datchev
Propagation of Singularities for the Wave Equation

MATRIX Program: Mathematics of Tissue Dynamics

Ishraq U. Ahmed, Jennifer A. Flegg, Claire Miller, Ricardo Ruiz-Baier, Joshua Won, Adriana Zanca
Multiphase models for moving boundary problems in biology

MATRIX Program: Mathematics of the Interactions between Brain Structure and Brain Functions

Alex Hocking, Kerri Morgan, Nicholas Parsons, Govinda Poudel, Sergiy Shelyag, Julien Ugon
Mathematical Foundations for Measurement of Communication Efficiency in the Human Brain

Nadezda Sukhorukova, Liam Kelly
k -Means clustering in EEG (brain waves) timeseries

MATRIX Program: Mathematics of Risk 2022

P. G. Morrison
Asian Option Pricing via Laguerre Quadrature: A Diffusion Kernel Approach

Jie Yen Fan, Fima C. Klebaner
On Dupire Formula and Diffusion with Given Marginals

Peilun He, Nino Kordzakhia, Gareth W. Peters, Pavel V. Shevchenko
Multi-Factor Polynomial Diffusion Models and Inter-Temporal Futures Dynamics
source code on github

Jun S. Han, Nino Kordzakhia, Pavel V. Shevchenko, Stefan Trück
On Autoregressive Measurement Errors in a Two-Factor Model
source code on github

Vincent Liang, Konstantin Borovkov
On extension of the Markov chain approximation method for computing Feynman-Kac type expectations

Ying He, Konstantin Borovkov
On ruin probabilities in a Sparre Andersen type model in the presence of risky investments and random switching

Noufel Frikha, Arturo Kohatsu-Higa
On some asymptotic expansions of skew diffusions

A.E. Brockwell
Fractional Growth Portfolio Investment

José-Luis Pérez, Kazutoshi Yamazaki
Lévy bandits under Poissonian decision times

Bo Li, Xiaowen Zhou
Entrance laws for continuous-state nonlinear branching processes coming down from infinity

Hansjoerg Albrecher, Oscar Peralta
The matrix sequential probability ratio test and multivariate ruin theory

Vladimira Seckarova, Kamil Dedecius
Bayesian Parameter Estimation for Poisson AR Model

Denis Belomestny, Frank van der Meulen, Peter Spreij
Nonparametric Bayesian inference for stochastic processes with piecewise constant priors

Alexander G Tartakovsky, Valentin Spivak
Quickest Changepoint Detection in General Multistream Stochastic Models: Recent Results, Applications and Future Challenges

IBS-CGP & MATRIX Workshop: Symplectic Topology

Yong-Geun Oh, Taesu Kim
Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons

Ke Zhu
High-jet Relations of the Heat Kernel: Embedding Map and Applications

Other Contributed Articles

MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology

Stefan Friedl, Julian Hannes
Pachner’s Theorem

MATRIX Program: 2D Supersymmetric Theories and Related Topics

Wei Gu
Vacuum Structures Revisited

MATRIX Program: Theory and Applications of Stable Polynomials

Jacob P. Matherne
A large class of conjecturally stable chromatic symmetric functions

Jidong Wang
A problem about virtual polytopes

James Saunderson
A conjecture on spectral sparsification with respect to hyperbolicity cones

Xavier Coulter, Norman Do, Ellena Moskovsky
Topological Narayana polynomials and interlacing conjectures