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Ruth Margaret Williams (born 1945) is a British mathematician at the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
. Her research focuses on discrete gravity.


Early life and education

Williams was born in
Birmingham Birmingham ( ) is a City status in the United Kingdom, city and metropolitan borough in the metropolitan county of West Midlands (county), West Midlands, within the wider West Midlands (region), West Midlands region, in England. It is the Lis ...
and attended primary schools in Lozells and Banners Gate. Her secondary education was at Sutton Coldfield High School for Girls. The first member of her family to go to university, she read mathematics at
Girton College, Cambridge Girton College is a constituent college of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college at Cambridge. In 1948, it was granted full college status by the un ...
, then moved to
Imperial College, London Imperial College London, also known as Imperial, is a Public university, public research university in London, England. Its history began with Prince Albert of Saxe-Coburg and Gotha, Prince Albert, husband of Queen Victoria, who envisioned a Al ...
, for her PhD, which was in
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...
and focused on current algebras. She obtained a postdoctoral research position at the Center for Theoretical Studies at the University of Miami (1968-1970). She held a research position at
Imperial College Imperial College London, also known as Imperial, is a public research university in London, England. Its history began with Prince Albert, husband of Queen Victoria, who envisioned a cultural district in South Kensington that included museums ...
(1970-1973) and a temporary lectureship at the
University of Bristol The University of Bristol is a public university, public research university in Bristol, England. It received its royal charter in 1909, although it can trace its roots to a Merchant Venturers' school founded in 1595 and University College, Br ...
(1973-1974), before moving back to a
Hertha Ayrton Phoebe Sarah Hertha Ayrton (28 April 1854 – 26 August 1923) was an English electrical engineer, mathematician, physicist and inventor, and suffragette. Known in adult life as Hertha Ayrton, born Phoebe Sarah Marks, she was awarded the Hughes M ...
Research Fellowship at
Girton College Girton College is a constituent college of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college at Cambridge. In 1948, it was granted full college status by the univ ...
in 1974.>


Career

In 1976, Williams became an Official Fellow, Lecturer and Director of Studies in Mathematics at
Girton College Girton College is a constituent college of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college at Cambridge. In 1948, it was granted full college status by the univ ...
, positions she held until she retired in 2012. At the Department of Applied Mathematics and Theoretical Physics,
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
, she was a temporary lecturer (1991-1994), Assistant Director of Research (1994-2002) and Reader in Mathematical Physics from 2002 until retiring in 2012. She is now a Life Fellow at
Girton College Girton College is a constituent college of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college at Cambridge. In 1948, it was granted full college status by the univ ...
. Throughout her time in Cambridge, she lectured on and supervised most of the courses in theoretical physics.


Research

Williams’ early research was in
elementary particle physics Particle physics or high-energy physics is the study of fundamental particles and forces that constitute matter and radiation. The field also studies combinations of elementary particles up to the scale of protons and neutrons, while the stud ...
, then during her second postdoctoral position she started working in classical
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
. Eventually, she combined these two interests by working in
quantum gravity Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics. It deals with environments in which neither gravitational nor quantum effects can be ignored, such as in the v ...
in an attempt to find a unified theory of
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
and
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
. Her particular approach, called
Regge calculus In general relativity, Regge calculus is a formalism for producing simplicial approximations of spacetimes that are solutions to the Einstein field equation. The calculus was introduced by the Italian theoretician Tullio Regge in 1961. Availabl ...
, is a version of discrete gravity where curved space-times are approximated by collections of flat simplices. This may be thought of as a generalisation of
geodesic domes A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The Structural rigidity, rigid triangular elements of the dome distribute Stress (mechanics), stress throughout the structure, making geodesic ...
to higher dimensions. Williams’ work on Regge calculus includes the classical evolution of model universes, and numerical simulations of discrete quantum gravity, together with investigations of the relationship between Regge calculus and the
continuum theory In the mathematical field of point-set topology, a continuum (plural: "continua") is a nonempty compact connected metric space, or, less frequently, a compact connected Hausdorff space. Continuum theory is the branch of topology devoted to the st ...
. She has written around 100 papers on her research.


Knowledge transfer

Williams has given talks on her research to student societies, sixth formers and younger pupils. She has been Treasurer of the Cambridgeshire branch of the
Royal Institution The Royal Institution of Great Britain (often the Royal Institution, Ri or RI) is an organisation for scientific education and research, based in the City of Westminster. It was founded in 1799 by the leading British scientists of the age, inc ...
Mathematics Workshops, which runs Saturday morning sessions to foster the mathematical interest of local twelve- and thirteen-year-olds.


Publications


Books

*''Flat and curved space-times'', (1988) Williams, Ruth; Ellis, George;
Oxford University Press Oxford University Press (OUP) is the publishing house of the University of Oxford. It is the largest university press in the world. Its first book was printed in Oxford in 1478, with the Press officially granted the legal right to print books ...
, (Second Edition 2000). *Chapter on
Bertha Jeffreys Bertha Swirles, Lady Jeffreys (22 May 1903 – 18 December 1999) was an English physicist, academic and scientific author who carried out research on Quantum mechanics, quantum theory in its early days. She was associated with Girton College, ...
in ''Out of the Shadows: Contributions of Twentieth Century Women to Physics''.


Non-technical articles

Article in ''
New Scientist ''New Scientist'' is a popular science magazine covering all aspects of science and technology. Based in London, it publishes weekly English-language editions in the United Kingdom, the United States and Australia. An editorially separate organ ...
'': ''Building blocks for space and time''.


Women in STEM

Williams has always been especially concerned that women should not be deterred from reaching their potential as mathematicians. To this end, and encouraged by
Dusa McDuff Dusa McDuff FRS CorrFRSE (born 18 October 1945) is an English mathematician who works on symplectic geometry. She was the first recipient of the Ruth Lyttle Satter Prize in Mathematics, was a Noether Lecturer, and is a Fellow of the Royal So ...
, she started the British Women in Mathematics Day, which is now an annual event.


Personal life

Williams is the widow of Czech-born British mathematician, Jan Saxl, Professor of Algebra at the University of Cambridge, and they have one daughter, Miriam.


References

{{DEFAULTSORT:Williams, Ruth Margaret Living people Academics of the University of Cambridge 1945 births 21st-century British mathematicians 21st-century British women mathematicians Alumni of Girton College, Cambridge Alumni of Imperial College London Fellows of Girton College, Cambridge Scientists from Birmingham, West Midlands British women physicists People educated at Sutton Coldfield Grammar School for Girls 21st-century British physicists 20th-century British mathematicians 20th-century British physicists