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|Headquarters|| London, WC1 |
| Catherine Hobbs |
Iain Gordon (Vice President)
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS).
The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal.
The LMS was used as a model for the establishment of the American Mathematical Society in 1888.
Mary Cartwright was the first woman to be President of the LMS (in 1961–62). 
The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–58 Russell Square, Bloomsbury, to accommodate an expansion of its staff.
In 2015 the Society celebrated its 150th Anniversary. During the year the anniversary was celebrated with a wide range of meetings, events, and other activities, highlighting the historical and continuing value and prevalence of mathematics in society, and in everyday life.
Membership is open to those who are interested in mathematics. Currently, there are four classes of membership, namely: (a) Ordinary, (b) Reciprocity, (c) Associate, and (d) Associate (undergraduate). In addition, Honorary Members of the Society are distinguished mathematicians who are not normally resident in the UK, who are proposed by the Society's Council for election to Membership at a Society Meeting. 
The Society publishes books and periodicals; organises mathematical conferences; provides funding to promote mathematics research and education; and awards a number of prizes and fellowships for excellence in mathematical research.
The Society supports mathematics in the UK through its grant schemes. These schemes provide support for mathematicians at different stages in their careers. The Society’s grants include research grants for mathematicians, early career researchers and computer scientists working at the interface of mathematics and computer science; education grants for teachers and other educators; travel grants to attend conferences; and grants for those with caring responsibilities.
Awarding grants is one of the primary mechanisms through which the Society achieves its central purpose, namely to 'promote and extend mathematical knowledge’.
The Society also offers a range of Fellowships: LMS Early Career Fellowships; LMS Atiyah-Lebanon UK Fellowships; LMS Emmy Noether Fellowships and Grace Chisholm Young Fellowships.
The Society organises an annual programme of events and meetings. The programme provides meetings of interest to undergraduates, through early career researchers to established mathematicians. These include LMS-Bath Mathematical Symposia, Lecture Series (Aitken/Forder, Hardy, Invited), Research Schools, LMS Prospects in Mathematics Meeting, Public Lectures, Society Meetings, LMS Undergraduate Summer Schools and Women in Mathematics Days.
The Society's periodical publications include five journals:
It also publishes the journal Compositio Mathematica on behalf of its owning foundation, Mathematika on behalf of University College London and copublishes Nonlinearity with the Institute of Physics.
It also co-publishes four series of translations: Russian Mathematical Surveys , Izvestiya: Mathematics and Sbornik: Mathematics (jointly with the Russian Academy of Sciences and Turpion), and Transactions of the Moscow Mathematical Society (jointly with the American Mathematical Society).
The Society publishes two book series, the LMSLecture Notes and LMSStudent Texts.
Previously it published a series of Monographs and (jointly with the American Mathematical Society) the History of Mathematics series.
An electronic journal, the LMS Journal of Computation and Mathematics ceased publication at the end of 2017.
The named prizes are:
In addition, the Society jointly with the Institute of Mathematics and its Applications awards the David Crighton Medal and Christopher Zeeman Medal on alternating years.  The LMS also awards the Emmy Noether Fellowship.
John Henry Constantine Whitehead FRS, known as Henry, was a British mathematician and was one of the founders of homotopy theory. He was born in Chennai, in India, and died in Princeton, New Jersey, in 1960.
The Institute of Mathematics and its Applications (IMA) is the UK's chartered professional body for mathematicians and one of the UK's learned societies for mathematics.
Sir Erik Christopher Zeeman FRS, was a British mathematician, known for his work in geometric topology and singularity theory.
Marianna Csörnyei is a Hungarian mathematician who works as a professor at the University of Chicago. She does research in real analysis, geometric measure theory, and geometric nonlinear functional analysis. She proved the equivalence of the zero measure notions of infinite dimensional Banach spaces.
Sir Martin John Taylor, FRS is a British mathematician and academic. He was Professor of Pure Mathematics at the School of Mathematics, University of Manchester and, prior to its formation and merger, UMIST where he was appointed to a chair after moving from Trinity College, Cambridge in 1986. He was elected Warden of Merton College, Oxford on 5 November 2009, took office on 2 October 2010 and retired in September 2018.
The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the society.
Dame Mary Lucy Cartwright, was a British mathematician. She was one of the pioneers of what would later become known as chaos theory. Along with J. E. Littlewood, Cartwright saw many solutions to a problem which would later be seen as an example of the butterfly effect.
The Mathematical Association is a professional society concerned with mathematics education in the UK.
Dame Frances Clare Kirwan, is a British mathematician, currently Savilian Professor of Geometry at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry.
The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C. Whitehead.
The Senior Whitehead Prize of the London Mathematical Society (LMS) is now awarded in odd numbered years in memory of John Henry Constantine Whitehead, president of the LMS between 1953 and 1955. The Prize is awarded to mathematicians normally resident in the United Kingdom on 1 January of the relevant year. Selection criteria include work in, influence on or service to mathematics, or recognition of lecturing gifts in the field of mathematics. Previous recipients of top LMS prizes or medals are ineligible for nomination.
The Naylor Prize and lectureship in Applied Mathematics is a prize of the London Mathematical Society awarded every two years in memory of Dr V.D. Naylor. Only those who reside in the United Kingdom are eligible for the prize. The "grounds for award can include work in, and influence on, and contributions to applied mathematics and/or the applications of mathematics, and lecturing gifts."
The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the society to establish two prizes. His widow Daisy May Berwick gave the society the money and the society established the prizes, with the first Senior Berwick Prize being presented in 1946 and the first Junior Berwick Prize the following year. The prizes are awarded "in recognition of an outstanding piece of mathematical research ... published by the Society" in the eight years before the year of the award.
Andrew M. Stuart is a British mathematician, working in applied and computational mathematics. In particular his research has focused on the numerical analysis of dynamical systems, applications of stochastic ordinary and partial differential equations, Bayesian inverse problems, and data assimilation.
Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL and at Imperial College London. He previously held appointments at the University of Warwick and the Courant Institute of New York University. In 2014 he was awarded the Fields Medal, one of the highest honours a mathematician can achieve. In 2020 he won the 2021 Breakthrough Prize in Mathematics.
Lisa Claire JeffreyFRSC is a Canadian mathematician, a professor of mathematics at the University of Toronto. In her research, she uses symplectic geometry to provide rigorous proofs of results in quantum field theory.
Caroline Mary Series is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.
The Forder Lectureship is awarded by the London Mathematical Society to a research mathematician from the United Kingdom who has made an eminent contribution to the field of mathematics and who can also speak effectively at a more popular level. The lectureship is named for Professor H.G. Forder, formerly of the University of Auckland, and a benefactor of the London Mathematical Society. The lectureship was established in 1986 by the London Mathematical Society and the New Zealand Mathematical Society, and is normally awarded every two years. Recipients of the lectureship will give a four- to six-week lecturing tour of most New Zealand universities.
Anne-Sophie Kaloghiros is a mathematics researcher in algebraic geometry and senior lecturer in Mathematics at Brunel University London. Kaloghiros was awarded the London Mathematical Society (LMS) Emmy Noether Fellowship in 2020.
The LMS Emmy Noether Fellowship is a fellowship awarded by the London Mathematical Society.