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• Set theory and algebraic topology
• Borel Matchings and equidecompositions
• Another proof of the Jayne-Rogers theorem
• Pairwise Sums in the Reals
• Determinacy in Infinite Matroids
• An Introduction to infinite matroids
• Context-Dependent Deterministic Parallel Feedback Turing Computability
• Set Theory and Automata Theory
• Weihrauch degrees of determinacy
• Infinite Matroids and Pushdown Automata on Infinite Words
• Well-quasi-orderings for progam analysis and computational complextiy
• TBA
• Partition Relation Perspectives
• The Pinning Down Number and Cardinal Arithmetic
• Inaccessible cardinals and accessible categories
• On relating strong type theories and set theories
• A revision theory for type-free probability
• The unreasonable effectiveness of Nonstandard Analysis
• Approximate Ramsey properties of Matrices
• Strong Chang's Conjecture, Semi-Stationary Reflection, Strong Tree Property and Two Cardinal Square Principles
• Ramsey theory in topological dynamics
• Data, Manifold Learning, and the Modelling of Complex/Multiscale Systems
• Numerical Design of Pathways for Addressable Self-assembly
• Modelling Quantum Mechanics with Machine Learning: Interatomic Potentials with Error Bars
• Entropy descriptors and Entropy Stabilized Oxides
• Probing the Properties of Soft Matter by Optimally Designed Nonequilibrium Experiments
• Mean Field Methods for Stochastic Dynamics
• Bayesian Uncertainty Quantification in Alloy Modelling and Design
• The Inverse Problem in Materials Theory: Find the System that has a Given Target Property
• Open Panel Discussion: Predictive Materials Modelling for Materials Design and Discovery
• How Predictive Are Multiscale Materials' Simulations?
• From Atomic Environments to Meso-scale Structures. Mapping Complexity in Materials.
• Materials Structure Prediction from First Principles
• Path-space Information Metrics and Variational Inference for Non-equilibrium Coarse-grained Systems
• Modern Challenges in Coupled Quantum-Continuum Modelling and Control of Closed and Dissipative Systems
• The Parallel Replica Algorithm: Mathematical Foundations and Recent Developments
• Multiscale Simulations for Soft Matter: Applications and New Developments
• Open Panel Discussion: Predictive Materials Modelling in the Aerospace and High Value Manufacturing Sectors
• Predictive Multiscale Modeling for Decision Support in Design of Hierarchical Alloy Systems
• Propagation of Complex Fracture
• Joys and Trials in Multiscale Simulations using Particles
• Coarse-Graining with the Relative Entropy: Recent Theory and Algorithms
• Wavelet Scattering Regression of Quantum Chemical Energies
• Virtual Materials Testing
• Disordered Hyperuniform Point Patterns in Physics, Mathematics and Biology
• Open Panel Discussion: Predictive Materials Modelling in the Energy Sector
• Canonical Quantum Observables Approximated by Molecular Dynamics for Matrix Valued Potentials.
• Forcing the truth of a weak form of Schanuel's conjecture
• Predictive Coarse-Graining
• Stochastic Simulation as a Basis for Optimizing Microstructural Characterization Protocols
• Rare Events Methods, Reaction Coordinates, and Useful Rate Theories
• Enhanced Free Energy Based Structure Prediction in Materials Science
• Regulation of actin assembly and mechanotransduction in cell-matrix adhesion complexes: a biochemical study of the talin-vinculin complex
• Adaptive Langevin Algorithms for Canonical Sampling with Noisy Forces in Scale-bridging Molecular Dynamics
• Inference algorithms for probabilistic graphical models
• EPSRC: Funding Opportunities and Challenges
• A Bayesian approach to parameter identification in Turing systems
• Discrete and continuous modelling of cell mechanics: from adhesion to migration
• Keeping in contact during collective cell migration
• The surreal numbers
• Contortion of a beach ball
• Reflection numbers of some combinatorial and topological properties
• A hybrid model to test mechanical cues driving cell migration in angiogenesis
• Modelling and simulation of elastic cells in flow
• On two problems on Boolean algebras and finitely additive measures
• Mathematical modelling of a cereal killer: Modelling plant cell invasion by the rice blast fungus
• Cell-based modelling for wound contraction and angiogenesis
• The mechanobiology of adipocytes
• Formation and regulation of filopodia
• Ramsey Determinacy of adversarial Gowers games
• Order types of chains of Borel sets and Baire functions
• Dual Ramsey theory on trees
• Hydrodynamic diffuse interface models for Helfrich and mean curvature flow and their application to cells in fluid environment
• Universal graphs and their variations
• Finite element methods in geometric integration
• Anomalous diffusion is everywhere but where?
• Morphogenetic models: from genetic regulatory networks to phenotypes
• Free groups and the Axiom of Choice
• Topological Ramsey theory of countable ordinals
• Weihrauch degrees for generalized Baire space
• Uncountably many maximal-closed subgroups of Sym(N) via reducts of Henson digraphs
• Saturated Boolean Ultrapowers
• Computable analysis and games in descriptive set theory
• The structure and logic of axis extension in Drosophila
• Reversibility of Definable Relations
• Spatiotemporal transmission dynamics of recent Ebola spread and outbreak in West Africa: impact of control measures
• Beyond the infinite: Rothschild Distinguished Visiting Professor Lecture
• The Silence
• Aspects of generalizing the concept of strong measure zero
• Modal logics of the generic multiverse
• Numerical methods for large bilayer bending problems
• Closing Remarks
• Presentation: Challenge 6 - Dealing with Spatial Rainfall Distribution in Flood Forecasts
• Presentation: Challenge 3 - Validating Convective-Scale Rainfall Forecasts and Estimating their Uncertainty
• Presentation: Challenge 2 - Identification of Coherent Weather Features in Three Dimensions
• Presentation: Challenge 1 - Statistical Framework for Utilisation of Modelled Data for Tropical Cyclones
• Opening Comments
• Welcome
• Solving PDEs in domains with complex evolving morphology: Rothschild Visiting Fellow Lecture
• On the width of wqos
• Minimising a relaxed Willmore functional for graphs subject to Dirichlet boundary conditions
• Another proof of the failure of a higher forcing axiom
• Localized pulse solutions in FitzHugh-Nagumo equations
• Constructing Quasiminimal Functions
• Forcing with large continuum
• QBF proof complexity
• Computably extendible order types
• Feedback Computability
• Integration on the Surreals
• Local Names
• Ehrenfeucht Principles in Set Theory
• First-order Proofs Without Syntax
• Partition Relation for linear Orders without the Axiom of Choice
• On a Generalization of the Revision-theoretic Approach to Strategic Rationality
• Extending the Syllogistic
• A Multilinear Algebraic Semantics for Natural Language
• Descriptive Graph Combinatorics
• Many-dimensional Modal Logics
• Where are the women in medieval logic?
• Self-determined sets of sentences
• AEC tameness from large cardinals via category theory
• Weak Partition Relations and Conservative Elementary Extensions
• Applying constructive analysis and topology in game theory
• An application of Model Theory to Real Algebraic Geometry
• Generic Automorphisms of a Hrushovski construction
• In Pursuit of the Missing Premise in First Order Logic
• A look into generalised stability
• A look into generalised stability
• Indestructible remarkable cardinals
• The size of conjugacy classes of automorphism groups
• On ideal equal convergence
• Delta_1-definability of the non-stationary ideal
• Ultrafilters without p-point quotients
• Prikry type sequences: a composition of interconnected results
• Selective properties of ideals
• Happy Families and Their Relatives
• The relation of attack
• Mathias and Set Theory
• On the class of perfectly null sets and its transitive version
• Cofinalities of Marczewski Ideals
• The tree property (session 3)
• Theoretical model for persistent and oscillatory cell motility
• Hausdorff Medal Lecture
• Hausdorff Medal Award
• Failures of the Forcing Theorem
• Symmetries
• Forcing failures of covering in HOD
• Forcing, regularity properties and the axiom of choice
• The tree property (session 2)
• Patterns in Polarisable Elastic Active Layers
• Local Ramsey Theory in abstract spaces
• The Search for Deep Inconsistency
• Around the definability of mad families
• Topological representation of lattice homomorphisms
• Hyperclass Forcing in Morse Kelley Set Theory
• A generalisation of closed unbounded sets
• What is a forcing extension (of V)?
• The tree property (session 1)
• Two predictions from physics relevant to metric and analytic aspects of moduli spaces
• Models in Wound Healing: Scar Tissue and Contraction
• Asymptotically Conic Calabi-Yau Manifolds
• HyperKaehler metrics with circle action
• Moduli space of periodic monopoles and Hitchin equations on a cylinder
• The moduli space of hyperKaehler metrics on 4-manifolds with boundary
• Monopoles on circle bundles
• (Open) Problem Discussion Session
• A construction of limiting solutions of Hitchin's equations
• Higgs bundles, spectral data, and fiber products of curves
• Symplectic and hyperkahler implosion
• Polynomial Pick forms for affine spheres, real projective polygons, and surface group representations in PSL(3,R).
• The elliptic genus - a view from conformal field theory
• Quantization of integrable systems of periodic monopoles
• 'Breakout' Session
• Asymptotics and compactification of monopole moduli space
• Renormalized volume on the Teichmuller space of punctured Riemann surfaces
• Asymptotics of hyperboilic, Weil-Peterssen and Takhtajan-Zograf metrics
• Nodal degeneration of hyperbolic metrics and application to Weil-Petersson metric on the moduli space
• On the geometry of some Hyperkaehler manifolds
• Non-perturbative hyperkahler manifolds
• An analytic construction of dihedral ALF gravitational instantons
• Analysis of quantum N-body type problems
• Instanton and Bow Moduli Spaces
• Ruling out non-collapsed singularities in Riemannian 4-manifolds via the symplectic geometry of their twistor spaces
• Hitchin's self-duality equation and limiting configurations
• New results on euclidean monopole metrics
• Decay and Moduli of Yang Mills Instantons
• Physics of Moduli Space Dynamics of Solitons
• ALG and ALH spaces
• Geometric invariant theory for graded unipotent group actions and applications
• On connections between orthogonal arrays and D-optimal designs for certain generalized linear models with group effects
• Optimal crossover designs with interactions between treatments and experimental units
• Designs for dependent observations
• Optimal designs for correlated observations
• Assessment of randomization procedures based on single sequences under selection bias
• Randomization for small clinical trials
• Cross-sectional versus longitudinal design: does it matter?
• Efficient study designs
• Regulatory Aspects of Adaptive Clinical Trial Designs: Perspectives from Scientific Advice to Marketing Authorisation Applications
• Sequential Parallel Comparison Design for Trials with High Placebo Response: Overview and Case Studies
• Brick Tunnel Randomization, Overcoming Inconvenient Allocation Ratio
• Bayesian Adaptive Randomisation Revisited
• Adaptive Dose Finding Designs in the Presence Of Model Uncertainty
• Accounting for Parameter Uncertainty in Two-Stage Designs for Phase II Dose-Response Studies
• Designs for dose-escalation trials
• Construction of efficient experimental designs under resource constraints
• Nature-inspired meta-heuristic algorithms for generating optimal experimental designs
• Locally optimal designs for errors-in-variables models
• Model-robust designs for quantile regression
• Cost constrained optimal designs for regression models with random parameters
• Incorporating pharmacokinetic information in phase I studies in small populations
• Design and Analysis of In-Vitro Pharmacokinetic Experiments
• Designs for generalized linear models with random block effects
• Optimal design and parameter estimation for population PK/PD models
• A population-finding design with non-parametric Bayesian response model
• Some critical issues in adaptive experimental designs for treatment comparisons
• An adaptive optimal design with a small fixed stage-one sample size
• Start-up designs for response-adpative randomization procedures
• Adaptive dose-finding with power control
• Designing an adaptive trial with treatment selection and a survival endpoint
• Recent results and open problems on many-body localization
• Green's function asymptotic behavior near a non-degenerate spectral edge of a periodic operator
• Localisation and ageing in the parabolic Anderson model
• Eigenvalue statistics for random Schrodinger operators
• Spectral theory of the Schr?dinger operators on fractals
• $L_1$-Estimates for Eigenfunctions of the Dirichlet Laplacian
• Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gaps
• Invariance of IDS under Darboux transformation and its application
• Pure point spectrum in the regime of zero Lyapunov exponents
• New properties of entropy and their consequences
• Dissipative transport in the localized regime
• An eigensystem approach to Anderson localization, part II
• An eigensystem approach to Anderson localization
• On fluctuations of eigenvalues of random band matrices
• From the mesoscopic to microscopic scale in random matrix theory
• On non-smooth functions of Wiener-Hopf operators
• Loewner curvature
• Twin peaks
• Boundary Measures and Natural Time Parameterization for SLE
• Welding of the Backward SLE and Tip of the Forward SLE
• Scaling limit of the probability that loop-erased random walk uses a given edge
• Radial SLE martingale-observables
• A random walk proof of Kirchhoff's matrix tree theorem
• A (slightly) new look at the backbone
• Scaling window of Bernoulli percolation on Z^d
• Conformal restriction: the chordal and the radial
• Convergence of discrete holomorphic functions on non-uniform lattices
• Absolute continuity returns: potentials that are periodic in some directions only
• tba
• On Disconnection, random walks, random interlacements, and the Gaussian free field
• Competitive erosion is conformally invariant
• Essential spanning forests on periodic planar graphs
• Conformal representations of Random Maps and Surfaces
• Some news from the loop-soup front
• Anderson localization in a multi-dimensional deterministic disorder II
• Wrap-up Discussion/ Conclusions
• Homogenization of operators with quasi-periodic coefficients
• Could we Shoot Movies Without Artificial Lights?
• Bilevel Optimisation in Automated Regularisation Parameter Selection in Image Processing
• Compactness principles and convergence of spectra in double-porosity models
• Beyond Features: Dense and Direct Methods for 3D Reconstruction and Visual SLAM
• Real-time Graphics and the Challenge of Photorealism
• Optical Flow on Moving Manifolds
• 4D Dynamic Surface Measurement
• An Empirical Bayesian Method for Video Denoising
• Feature Learning from Videos
• 3D Vision in a Changing World
• Panel Discussion
• CCTV Surveillance and Sports Video Analysis
• Image Processing and Computer Vision with MATLAB and Simulink
• Anderson localization in a multi-dimensional deterministic disorder I
• The nodal count mystery
• Decision Forests and Jungles for Visual Recognition
• Continuous Max-flow and Global Minimisation for Classification of High Dimensional Data
• Surveillance using Hyperspectral, LiDAR and Spectro-Polarimetric Data
• Efficiently Processing Graph-Based Representations of Images and Objects
• The Challenges of Effective Video Analytics Solution Deployment
• Deep Head Pose: Prediction of Intent for Tracking and Human Interaction Recognition in Real-time
• Video Analytics and Information Extraction
• Panel Discussion
• Visualisation and Analysis of Dynamic Electromagnetic Brain Activity based on MEG Measurements
• Pixel-based Beamforming for Ultrasonic Imaging
• Bayesian Selection of Regularisation Parameters: Theory, Methods and Algorithms
• Image Registration, Data Fusion, Motion Correction
• Next Generation Researchers - Elevator Pitches
• Dynamic PhotoAcoustic Tomography
• Dynamic Imaging from Incomplete Data - Applications in MRI and PET
• Reconstructing Highly Accelerated Dynamic MR Data using Spatio-Temporal ICTGV Regularisation
• Medical Imaging Challenges
• Dynamic Imaging Data - TGM Event
• Stark-Wannier ladders and cubic exponential sums
• Uniqueness of the Leray-Hopf solution for a dyadic model
• Derivation of the Fick's law for the Lorentz model in a low density regime
• Density of states and Lyapunov exponent in the heavy tail potentials
• Jacobi Matrices and Non-equilibrium Statistical Mechanics
• Dissipative Transport in the Localization Regime
• Malnutrition and Poverty Traps
• Conductance and absolutely continuous spectrum of 1D samples
• Mathematics without Apologies
• Rothschild Distinguished Visiting Fellow Lecture: Disordered systems and related spectra
• Asymptotic behaviour of a sine-kernel determinant in the theory of the log-gas and random matrices
• Magnetic wells in dimension two and three
• Exploitation as Cooperation
• Eigenvalues of the Schroedinger operator on infinite combinatorial and quantum graphs
• Scaling limits of random planar maps and growth-fragmentations
• Liouville Quantum gravity on Riemann surfaces
• Parabolic and Hyperbolic Unimodular maps
• Squarings of rectangles
• Planar lattices do not recover from forest fires
• Pinning and disorder relevance for the lattice Gaussian free field
• Characterstic polynomials of random matrices and logarithmically correlated processes
• Recurrence of planar graph limits
• Differential equations for colored maps
• Nesting statistics in the O(n) loop model on random lattices
• On the geometry of discrete and continuous random planar maps
• Looptrees
• Self-avoiding Walk and Connective Constant
• A hidden quantum group for pure partition functions of multiple SLEs
• Scaling limits of the uniform spanning tree
• Critical exponents in FK-weighted planar maps
• Blossoming trees and the scaling limit of maps
• Compact Brownian surfaces