Smith is the fourth child of John Smith (1792–1828), a barrister, who dies when Henry is two. His mother, Mary Murphy (d.1857) from Bantry Bay, very soon afterward moves the family to England. He has thirteen siblings, including Eleanor Smith, who becomes a prominent educational activist. He lives in several places in England as a boy. His mother does not send him to school but educates him herself until age 11, at which point she hires private tutors. In 1841, at the age of 15, he is admitted to Rugby School in Warwickshire, where Thomas Arnold is the school’s headmaster. This comes about because his tutor, Henry Highton, takes up a housemaster position there.
At the age of 19 Smith wins an entrance scholarship to Balliol College, Oxford. He graduates in 1849 with high honours in both mathematics and classics. He is fluent in French having spent holidays in France, and he takes classes in mathematics at the College of Sorbonne in Paris during the 1846–47 academic year. He is unmarried and lives with his mother until her death in 1857. He then brings his sister, Eleanor, to live with him as housekeeper at St. Giles.
Smith remains at Balliol College as a mathematics tutor following his graduation in 1849 and is soon promoted to Fellow status.
In 1874, Smith becomes Keeper of the University Museum and moves, along with his sister, to the Keeper’s House on South Parks Road in Oxford.
On account of his ability as a man of affairs, Smith is in demand for academic administrative and committee work: he is Keeper of the Oxford University Museum of Natural History, a Mathematical Examiner for the University of London, a member of a Royal Commission to review scientific education practice, a member of the commission to reform University of Oxford governance, chairman of the committee of scientists overseeing the Meteorological Office and twice president of the London Mathematical Society.
Synge attends St. Andrew’s College, Dublin and in 1915 enters Trinity College Dublin (TCD). He is elected a Foundation Scholar his first year, which is unusual as it is normally won by more advanced students. While an undergraduate at TCD, he spots a non-trivial error in Analytical Dynamics of Particles and Rigid Bodies, a textbook by E. T. Whittaker, who had recently taught there, and notifies Whittaker of the error. In 1919 he is awarded a BA in Mathematics and Experimental Physics, and also a gold medal for outstanding merit. In 1922 he is awarded an MA, and in 1926 a Sc.D., the latter upon submission of his published papers up to then.
In 1918, Synge marries Elizabeth Eleanor Mabel Allen. She is also a student at TCD, first of mathematics, then of history, but family finances forced her to leave without graduating. Their daughters Margaret (Pegeen), Cathleen and Isabel are born in 1921, 1923 and 1930 respectively. The middle girl grows up to become the distinguished Canadian mathematician Cathleen Synge Morawetz.
Synge is appointed to the position of lecturer at Trinity College, and then accepts a position at the University of Toronto in 1920, where he is an assistant professor of mathematics until 1925. There he attends lectures by Ludwik Silberstein on the theory of relativity, stimulating him to contribute “A system of space-time co-ordinates,” a letter in Nature in 1921.
Synge returns to Trinity College Dublin, in 1925, where he is elected to a fellowship and is appointed the University Professor of Natural Philosophy (later to be known as “physics”). He is a member of the American Mathematical Society and the London Mathematical Society. He is treasurer of the Royal Irish Academy in 1929. He goes back to Toronto in 1930, where he is appointed Professor of Applied Mathematics and becomes Head of the Department of Applied Mathematics. In 1940, he supervises three Chinese students, Guo Yonghuai, Qian Weichang and Chia-Chiao Lin, who later become leading applied mathematicians in China and the United States.
Synge returns to Ireland in 1948, accepting the position of Senior Professor in the School of Theoretical Physics at the Dublin Institute for Advanced Studies. This school had been set up in 1940, and had several outstanding members, including Erwin Schrödinger, a contributor to quantum mechanics, who is also a Senior Professor.
Synge is one of the first physicists to seriously study the interior of a black hole, and his early work is cited by both Martin David Kruskal and George Szekeres in their independent discoveries of the true structure of the Schwarzschild black hole. Synge’s later derivation of the Szekeres-Kruskal metric solution, which is motivated by a desire to avoid “using ‘bad’ coordinates to obtain ‘good’ coordinates,” has been generally under-appreciated in the literature, but is adopted by Chandrasekhar in his black hole monograph.
In pure mathematics, Synge is perhaps best known for Synge’s theorem, which concerns the topology of closed orientable Riemannian manifold of positive sectional curvature. When such a space is even-dimensional and orientable, the theorem says it must be simply connected. In odd dimensions, it instead says that such a space is necessarily orientable.
Synge also creates the game of Vish in which players compete to find circularity (vicious circles) in dictionary definitions.
Synge retires in 1972. He receives many honours for his works. He is elected as a fellow of the Royal Society of London in 1943. He is elected as a fellow of the Royal Society of Canada, and in 1943 is the first recipient of the society’s Henry Marshall Tory Medal, as one of the first mathematicians working in Canada to be internationally recognised for his research in mathematics. In 1954 he is elected an honorary fellow of Trinity College Dublin. He is president of the Royal Irish Academy from 1961 until 1964. The Royal Society of Canada establishes the John L. Synge Award in his honour in 1986.
Synge dies on March 30, 1995, in Dublin, exactly one week after his ninety-eighth birthday.
Bryant’s father is Rev. Dr. William Willock DD, Fellow and Tutor of Trinity College, Dublin. She is educated at home, largely by her father. As a teenager she moves to London when her father is appointed Professor of Geometry at the University of London in 1863, and she attends Bedford College. At the age of nineteen she marries Dr. William Hicks Bryant, a surgeon ten years her senior, who dies of cirrhosis within a year.
In 1875 Bryant becomes a teacher and is invited by Frances Mary Buss to join the staff of North London Collegiate School. In 1895 she succeeds Buss as headmistress of North London Collegiate, serving until 1918.
When the University of London opens its degree courses to women in 1878, Bryant becomes one of the first women to obtain First Class Honours, in Mental and Moral Sciences, together with a degree in mathematics in 1881, and three years later is awarded the degree of Doctor of Science. In 1882 she is the third woman to be elected to the London Mathematical Society and is the first active female member, publishing her first paper with the Society in 1884. Together with Charles Smith, Bryant edits three volumes of Euclid‘s Elements, for the use of schools (Euclid’s Elements of Geometry, books I and II (1897); Euclid’s Elements of Geometry, books III and IV (1899); Euclid’s Elements of Geometry, books VI and IX (1901)).
Bryant is a pioneer in education for women. She is the first woman to receive a Doctor of Science in England, one of the first three women to be appointed to a Royal Commission, the Bryce commission on Secondary Education in 1894–1895, and one of the first three women to be appointed to the Senate of the University of London. When Trinity College Dublin opens its degrees to women, she is one of the first to be awarded an honorary doctorate. She is also instrumental in setting up the Cambridge Training College for Women, now Hughes Hall, Cambridge. She is also said to be one of the first women to own a bicycle.
Bryant is interested in Irish politics, writes books on Irish history and ancient Irish law (Celtic Ireland (1889), The Genius of the Gael (1913)), and is an ardent ProtestantIrish nationalist. She is president of the Irish National Literary Society in 1914. She supports women’s suffrage but advocates postponement until women were better educated.
Bryant loves physical activity and the outdoors. She rows, cycles, swims, and twice climbs the Matterhorn. She dies at the age of 72 in a hiking accident in the Alps near Chamonix, France on August 14, 1922.