British Mathematical Colloquium

This was held at Manchester: 17 - 20 June 2024.

Organisers were Charles Eaton, Gareth Jones, Omar León Sánchez, Donald Robertson


Minutes of meetings, etc. are available at the links below


The plenary speakers were:

Birkar, C Geometry and Numbers
Duminil-Copin, H Critical phenomena through the lens of the Ising model
Edelman, A Symmetric Spaces, Random Matrix Theory, and Numerical Linear Algebra
Scanlon, T Differential algebra for Diophantine geometry and functional transcendence
Snaith, N Every moment brings a treasure: random matrix theory and the Riemann zeta function
Ulcigrai, C Flows on surfaces: dynamics and rigidity

The morning speakers were:

Alcock, L Conditional Inference in Undergraduate Mathematics Students
Balakrishnan, J Quadratic Chabauty for modular curves
Burness, T Simple groups, fixed point ratios and applications
Gray, R The geometry of the word problem for groups and inverse monoids
Habegger, P Torsion Points on Families of Abelian Varieties
Magee, M Optimal spectral gaps
Pelloni, B Dispersive revivals, or the Talbot effect revisited
Peterzil, K Closure and Hausdorff limits, in tori and nilmanifolds, via o-minimality
Schönlieb, C A whistle stop tour from nonlinear PDEs and Riemannian calculus to deep neural networks for scientific imaging
Shmerkin, P Counting intersections of fuzzy lines
Terry, C Measuring combinatorial complexity via regularity lemmas
Tointon, M Structure, expansion and probability in transitive graphs

Algebra Workshop

Harper, S How big can a minimal generating set be?
Law, S Sylow restriction in the representation theory of finite groups
Thomas, A sl2, fake sl2 and pgl2 subalgebras
Hazi, A Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras
Balagović, M Towards bases for representations of QSP coideal subalgebras
Ciubotaru, D Bounds for the Langlands parameter of a smooth representation
Bailey, R Latin squares in higher dimensions
Korhonen, M Maximal Solvable Subgroups
Kudryavtsev, D Lengths of Tsetlin library algebras
McInroy, J Automorphisms of axial algebras
Natarajan, A
Kapadia, Z A On the Submodule Structure of Hook Specht Modules in Characteristic 2

Ergodic theory workshop

Moreira, J Partition Regularity of Pythagorean Pairs
Sert, C Stationary probability measures on projective spaces
Yassawi, R A dynamical view of Tijdeman's solution of the chairman assignment problem
Todd, M Limit theorems for dynamics with heavy tails and clustering
Koivusalo, H Discrepancy estimates for the frequency of points in cut and project sets
Yu, H Number-theoretic properties of points on self-similar sets
Baumgartner, A Cusp Excursions on Bianchi Orbifolds
Datta, S Bad is null
Zhao, B Countable Markov shifts with exponential mixing
Ingarfield, P Thermodynamic Formalism of Self Similar Overlapping Measures
Yang, J Self-similarity of 2D Dynamics at the Boundary of Chaos
Banaji, A When does the box dimension of a fractal exist?

Geometry and topology workshop

Pridham, J Shifted Poisson structures in derived geometry
Rejzner, K Quantization of gauge theories in (perturbative) algebraic quantum field theory
Lazarev, A Coderived categories and their applications
Hagen, M Translation length spectra, injective spaces, and quasimorphisms
Pasquinelli, I How many times can two curves on a surface intersect?
Yazdi, M The algorithmic complexity of incompressible surfaces in 3-manifolds
Logvinenko, T Categorification of generalised braids
Jia, Y GGT meets symplectic geometry
Levine, A Subsets of groups and context-free languages
Sanders, F Reduction by symmetries in symplectic and contact manifolds
Parkin, J Tori in Groups of Lie Type
Dolan, J Lattice Angles in Lattice Polygons

Logic workshop

Gregory, L Decidability for theories of modules over finite-dimensional algebras
Eterović, S Solutions of equations involving transcendental functions
Dmitrieva, A Generic functions and quasiminimality
Mennuni, R Positive model theory and automorphisms of ordered structures
Kamsma, M Unstable independence from the categorical point of view
Tendas, G Enriched universal algebra
Gómez, A M A strictly NSOP_4 structure without stationarity
Guerrero, P A A brief story of model-theoretic (p, q)-theorems
Hughes, C Homotopy theory and Logic
Palomino R Local real closed SV-rings of finite rank
Burton, C
Mohamed, S

Number theory workshop

Bellovin, R The eigencurve at the boundary
Grimmelt, L Twisted correlations of the divisor function via discrete averages of Poincare series
Skorobogatov, A Hasse principle for intersections of two quadrics via Kummer surfaces
Lester, S The distribution of the Riemann zeta-function at its relative maxima
Thatte, V Generalized ramification theory and its applications
Lee, M Murmurations of automorphic forms in archimedean families
Visser, R Abelian surfaces with good reduction away from 2
Psyroukis, R A Dirichlet Series attached to orthogonal modular forms
Streeter, S Whose Line Is It Anyway?
Angdinata, D Twisted L-values of elliptic curves
Boughattas, E Arithmetic of conic bundles
Williams, A Considering a Classical Upper Bound on the Frobenius Number
Karam, T Fourier analysis modulo p on the Boolean cube
Garcia, P C Perfect codes and Diophantine equations

Numerical Analysis workshop

Latz, J Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds
Arrigo, F f(a)bulous networks: an overview of matrix functions in network science
Nakatsukasa, Y SuperPCA: subspace analysis and efficient algorithm for high-dimensional PCA
Li, Q Fast optimization algorithms for machine learning models
Olver, S Decomposing Representations of the Symmetric Group, Numerically
Colbrook, M Data-Driven Spectral Measures and Generalized Eigenfunctions of Koopman Operators
Riley, A B Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem
Hanckes, C F J Finite-Element Domain Approximation For Maxwell Variational Problems On Curved Domains
Zhou, Z Computing Accurate Eigenvalues using the Preconditioned Jacobi Algorithm
Webb, M Approximation of Wave Packets on the Real Line
Asghar, S A numerical study of point forces in a multi-dimensional elastic model for tumors
Singla, R Pointwise adaptive non-conforming finite element method for the obstacle problem

Semigroups workshop

Margolis, S Complexity 1 is decidable for finite semigroups
Cameron, P Complete mappings of semigroups
Peresse, Y Polish topological semigroups
Gould, V Translational hulls of semigroups of endomorphisms of an algebra
Johnson, M Translational hulls of certain ideals of endomorphisms
Ruskuc, N Free projection-generated regular *-semigroups
Brodda, C-F N
Cho, J W
Warne, J
Christensen, M H
Heath, D
Cirpons, R
Furlani, A L
Budai, A
Fresacher, M