Bulletin of the London Mathematical Society Survey Articles

15 June 2020
24 November 2023

The Bulletin has published authoritative survey articles since its launch in 1969. This issue collects surveys published from 2010 onwards.

Since January 2020 all Surveys in the Bulletin have been published Open Access. The London Mathematical Society acknowledges support from a legacy by Frank Gerrish in the publication of expository articles and surveys where institutional funds are not available.

Find out more on the LMS website.

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Table of Contents

Open Access

Root numbers and parity phenomena

Lilybelle Cowland Kellock,  Vladimir Dokchitser, 
Open Access

On vacuum free boundary problems in ideal compressible magnetohydrodynamics

Paolo Secchi,  Yuri Trakhinin,  Tao Wang, 
Open Access

Differential graded Koszul duality: An introductory survey

Leonid Positselski, 
Open Access

Beltrami fields and knotted vortex structures in incompressible fluid flows

Alberto Enciso,  Daniel Peralta-Salas, 
Open Access

Algebra and geometry of link homology: Lecture notes from the IHES 2021 Summer School

Eugene Gorsky,  Oscar Kivinen,  José Simental, 
Open Access

Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory

Janne Heittokangas,  Katsuya Ishizaki,  Kazuya Tohge,  Zhi-Tao Wen, 
Open Access

A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras

Yunhe Sheng, 
Open Access

A user's guide to the local arithmetic of hyperelliptic curves

Alex J. Best,  L. Alexander Betts,  Matthew Bisatt,  Raymond van Bommel,  Vladimir Dokchitser,  Omri Faraggi,  Sabrina Kunzweiler,  Céline Maistret,  Adam Morgan,  Simone Muselli,  Sarah Nowell, 
Open Access

Codes, vertex operators and topological modular forms

Nora Ganter,  Gerd Laures, 
Open Access

Some recent advances in topological Hochschild homology

Akhil Mathew, 

Survey on L 2 -invariants and 3-manifolds

Wolfgang Lück, 
Open Access

Dold sequences, periodic points, and dynamics

Jakub Byszewski,  Grzegorz Graff,  Thomas Ward, 
Open Access

The false theta functions of Rodgers and their modularity

Kathrin Bringmann, 
Open Access

Braid groups and mapping class groups: The Birman–Hilden theory

Dan Margalit,  Rebecca R. Winarski, 
Open Access

New progress on Grothendieck duality, explained to those familiar with category theory and with algebraic geometry

Amnon Neeman, 
Open Access

Peak sets and boundary interpolation sets for the unit disc: a survey

Alan Noell, 
Open Access

Haar null and Haar meager sets: a survey and new results

Márton Elekes,  Donát Nagy, 
Open Access

F-Manifolds and geometry of information

Noémie Combe,  Yuri I. Manin, 

Silting Objects

Lidia Angeleri Hügel, 

An introduction to higher Auslander–Reiten theory

Gustavo Jasso,  Sondre Kvamme, 

Derived equivalences of algebras

Changchang Xi, 

Hereditary abelian model categories

James Gillespie, 

A dimer ABC

Raf Bocklandt, 

Brieskorn manifolds in contact topology

Myeonggi Kwon,  Otto van Koert, 

Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics

Sophie Morier-Genoud, 

Seventy years of Salem numbers

Chris Smyth, 

Hardy, Littlewood and probability

N. H. Bingham, 

Unitary orbits of Hermitian operators with convex or concave functions

Jean-Christophe Bourin,  Eun-Young Lee, 

Base size, metric dimension and other invariants of groups and graphs

Robert F. Bailey,  Peter J. Cameron, 

Introduction to the Minimal Model Program and the existence of flips

Alessio Corti,  Anne-Sophie Kaloghiros,  Vladimir Lazić, 

Trianguline representations

Laurent Berger, 

Decompositions, approximate structure, transference, and the Hahn–Banach theorem

W. T. Gowers, 

Lusztig's conjecture as a moment graph problem

Peter Fiebig,