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Ruth Elke Lawrence-Neimark (; born 2 August 1971) is a British–Israeli
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and a professor of mathematics at the
Einstein Institute of Mathematics The Einstein Institute of Mathematics () is a centre for scientific research in mathematics at the Hebrew University of Jerusalem, founded in 1925 with the opening of the university. A leading research institute, the institute's faculty has inclu ...
,
Hebrew University of Jerusalem The Hebrew University of Jerusalem (HUJI; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...
, and a researcher in
knot theory In topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be und ...
and
algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...
. In the public eye, she is best known for having been a
child prodigy A child prodigy is, technically, a child under the age of 10 who produces meaningful work in some domain at the level of an adult expert. The term is also applied more broadly to describe young people who are extraordinarily talented in some f ...
in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
.


Early life

Ruth Lawrence was born in
Brighton Brighton ( ) is a seaside resort in the city status in the United Kingdom, city of Brighton and Hove, East Sussex, England, south of London. Archaeological evidence of settlement in the area dates back to the Bronze Age Britain, Bronze Age, R ...
, England. Her parents, Harry Lawrence and Sylvia Greybourne, were both computer consultants. When Lawrence was five, her father gave up his job so that he could educate her at home. She is Jewish.


Education

At the age of nine, Lawrence gained an O-level in mathematics, setting a new age record (later surpassed in 2001 when Arran Fernandez successfully sat
GCSE The General Certificate of Secondary Education (GCSE) is an academic qualification in a range of subjects taken in England, Wales, and Northern Ireland, having been introduced in September 1986 and its first exams taken in 1988. State schools ...
mathematics aged five). Also at the age of nine she achieved a Grade A at
A-level The A-level (Advanced Level) is a subject-based qualification conferred as part of the General Certificate of Education, as well as a school leaving qualification offered by the educational bodies in the United Kingdom and the educational ...
pure mathematics Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications ...
. In 1981 Lawrence passed the
Oxford University The University of Oxford is a collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the second-oldest continuously operating u ...
entrance examination in mathematics, joining
St Hugh's College St Hugh's College is a Colleges of the University of Oxford, constituent college of the University of Oxford. It is located on a site on St Margaret's Road, to the north of the city centre. It was founded in 1886 by Elizabeth Wordsworth as a ...
in 1983 at the age of 12. At Oxford, her father continued to be actively involved in her education, accompanying her to all lectures and some tutorials. Lawrence completed her
bachelor's degree A bachelor's degree (from Medieval Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate degree awarded by colleges and universities upon completion of a course of study lasting three to six years ...
in two years, instead of the normal three, and graduated in 1985 at the age of 13 with a congratulatory first and special commendation. Attracting considerable press interest, she became the youngest British person to gain a first-class degree, and the youngest to graduate from the University of Oxford in modern times. Lawrence followed her first degree with a bachelor's degree in physics in 1986 and a
Doctor of Philosophy A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of Postgraduate education, graduate study and original resear ...
(DPhil) degree in mathematics at Oxford in June 1989, at the age of 17. Her
doctoral thesis A thesis (: theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: D ...
title was ''Homology representations of braid groups'' and her thesis adviser was Sir Michael Atiyah.


Academic career

Lawrence and her father moved to America for Lawrence's first academic post, which was at
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
, where she became a junior fellow in 1990 at the age of 19. In 1993, she moved to the
University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...
, where she became an associate professor with tenure in 1997. In 1998, Lawrence married Ariyeh Neimark, a mathematician at the
Hebrew University of Jerusalem The Hebrew University of Jerusalem (HUJI; ) is an Israeli public university, public research university based in Jerusalem. Co-founded by Albert Einstein and Chaim Weizmann in July 1918, the public university officially opened on 1 April 1925. ...
, and adopted the name Ruth Lawrence-Neimark. The following year, she moved to Israel with him and took up the post of associate professor of mathematics at the
Einstein Institute of Mathematics The Einstein Institute of Mathematics () is a centre for scientific research in mathematics at the Hebrew University of Jerusalem, founded in 1925 with the opening of the university. A leading research institute, the institute's faculty has inclu ...
, a part of the Hebrew University of Jerusalem.


Research

Lawrence's 1990 paper "Homological representations of the
Hecke algebra In mathematics, the Hecke algebra is the algebra generated by Hecke operators, which are named after Erich Hecke. Properties The algebra is a commutative ring. In the classical elliptic modular form theory, the Hecke operators ''T'n'' with ' ...
", in ''
Communications in Mathematical Physics ''Communications in Mathematical Physics'' is a peer-reviewed academic journal published by Springer. The journal publishes papers in all fields of mathematical physics, but focuses particularly in analysis related to condensed matter physics, sta ...
'', introduced, among other things, certain novel linear representations of the braid group — known as Lawrence–Krammer representations. In papers published in 2000 and 2001, Daan Krammer and Stephen Bigelow established the faithfulness of Lawrence's representation. This result goes by the phrase "
braid group In mathematics, the braid group on strands (denoted B_n), also known as the Artin braid group, is the group whose elements are equivalence classes of Braid theory, -braids (e.g. under ambient isotopy), and whose group operation is composition of ...
s are linear."


Awards and honors

In 2012 she became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.List of Fellows of the American Mathematical Society
retrieved 2013-01-27.


Selected publications

* * * * *


References


External links


Ruth Lawrence's home page
at the Hebrew University of Jerusalem {{DEFAULTSORT:Lawrence, Ruth 1971 births 20th-century British mathematicians 21st-century British mathematicians Alumni of St Hugh's College, Oxford English mathematicians Fellows of the American Mathematical Society Harvard Fellows Academic staff of the Hebrew University of Jerusalem Israeli mathematicians Living people Topologists University of Michigan faculty 21st-century British women mathematicians 20th-century British women mathematicians