Bulletin of the London Mathematical Society Survey Articles

15 June 2020
29 August 2024

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

Characteristic foliations — A survey

Fabrizio Anella,  Daniel Huybrechts, 
Open Access

On the ∞ $\infty$ -topos semantics of homotopy type theory

Emily Riehl, 
Open Access

What is an equivalence in a higher category?

Viktoriya Ozornova,  Martina Rovelli, 
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

Symplectic resolutions, symplectic duality, and Coulomb branches

Joel Kamnitzer, 
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

Non-commutative amoebas

Grigory Mikhalkin,  Mikhail Shkolnikov, 
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,