Ruth Lawrence  

Ruth Lawrence in 2014  
Born  Brighton, England  2 August 1971
Alma mater  University of Oxford 
Known for  Being a child prodigy Lawrence–Krammer representation 
Awards  In 2012, she became a fellow of the American Mathematical Society. 
Scientific career  
Fields  Topology, knot theory 
Institutions  Hebrew University of Jerusalem University of Michigan 
Doctoral advisor  Michael Atiyah 
Ruth Elke LawrenceNeimark (Hebrew: רות אלקה לורנסנאימרק, born 2 August 1971) is a British–Israeli mathematician and an associate professor of mathematics at the Einstein Institute of Mathematics, Hebrew University of Jerusalem, and a researcher in knot theory and algebraic topology. Outside academia, she is best known for having been a child prodigy in mathematics.
YouTube Encyclopedic

1/3Views:14 1001 6561 762

Ruth Lawrence, On Quantum Knot and 3manifold Invariants

Youngest College Graduates

Akshay Venkatesh – Infosys Prize 2016 Laureate – Mathematics
Transcription
Contents
Early life
Ruth Lawrence was born in Brighton, 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.^{[1]}
Education
At the age of nine, Lawrence gained an Olevel in mathematics, setting a new age record (later surpassed in 2001 when Arran Fernandez successfully sat GCSE mathematics aged five).^{[2]} Also at the age of nine she achieved a Grade A at Alevel pure mathematics.^{[1]}
In 1981 Lawrence passed the Oxford University entrance examination in mathematics, joining St Hugh's College in 1983 at the age of twelve.
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 in two years, instead of the normal three, and graduated in 1985 at the age of 13 with a starred first and special commendation. Attracting considerable press interest, she became the youngest British person to gain a firstclass degree, and the youngest to graduate from the University of Oxford in modern times.^{[1]}
Lawrence followed her first degree with a bachelor's degree in physics in 1986 and a Doctor of Philosophy (DPhil) degree in mathematics at Oxford in June 1989, at the age of 17. Her doctoral thesis title was Homology representations of braid groups and her thesis adviser was Sir Michael Atiyah.^{[3]}
Academic career
Lawrence and her father moved to America for Lawrence's first academic post, which was at Harvard University, where she became a junior fellow in 1990 at the age of 19. In 1993, she moved to the University of Michigan, where she became an associate professor with tenure in 1997.
In 1998, Lawrence married Ariyeh Neimark, a mathematician at the Hebrew University of Jerusalem, and adopted the name Ruth LawrenceNeimark. 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, a part of the Hebrew University of Jerusalem.^{[1]}
Research
Lawrence's 1990 paper, "Homological representations of the Hecke algebra", in Communications in Mathematical Physics, 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 groups are linear." ^{[4]}
Awards and honors
In 2012 she became a fellow of the American Mathematical Society.^{[5]}
Selected publications
 Lawrence, R.J., Homological representations of the Hecke algebra, Communications in Mathematical Physics, V 135, N 1, pp 141–191 (1990).
 Lawrence, R. and Zagier, D., Modular forms and quantum invariants of 3manifolds. Asian Journal of Mathematics, V 3, N 1, pp 93–108 (1999).
 Lawrence, R. and Rozansky, L., Witten–Reshetikhin–Turaev Invariants of Seifert Manifolds. Communications in Mathematical Physics, V. 205, N 2, pp. 287–314 (1999).^{[dead link]}
References
 ^ ^{a} ^{b} ^{c} ^{d} "1985: Teenage genius gets a first". BBC. Retrieved 20140806.
 ^ "Boy who broke GCSE record at five is off to Cambridge". London Evening Standard. Retrieved 20100902.^{[dead link]}
 ^ Ruth Lawrence at the Mathematics Genealogy Project
 ^ Bigelow, Stephen (2003), "The Lawrence–Krammer representation", Topology and geometry of manifolds, Proc. Sympos. Pure Math., 71, Providence, RI: Amer. Math. Soc., pp. 51–68, MR 2024629
 ^ List of Fellows of the American Mathematical Society, retrieved 20130127.
External links
 Ruth Lawrence's home page at the Hebrew University of Jerusalem