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Birth of Hugh Hamilton, Church of Ireland Bishop

Hugh Hamilton FRS, mathematician, natural philosopher (scientist) and professor at Trinity College Dublin (TCD), and later a Church of Ireland bishop, Bishop of Clonfert and Kilmacduagh and then Bishop of Ossory, is born at Knock, near Balrothery in Fingal, County Dublin, on March 26, 1729.

Hamilton is the eldest son of Alexander and Isabella Hamilton. His father is a solicitor and politician who represents the Killyleagh constituency in the Irish House of Commons from 1739 to 1759. Alexander’s great-grandfather Hugh Hamilton migrates from Scotland to County Down in the early 17th century. The Scottish architect James Hamilton of Finnart is an ancestor. Isabella Hamilton is born Isabella Maxwell, the daughter of Robert Maxwell of Finnebrogue, Downpatrick. Hugh’s siblings include George Hamilton, Baron of the Court of Exchequer (Ireland) and Charles, father of the wealthy Canadian lumber merchant and politician  George Hamilton.

Hamilton enters Trinity College Dublin on November 17, 1742, at the age of 13 with Thomas McDonnell as his tutor. He graduates Bachelor of Arts (BA) in 1747 and Trinity Master of Arts (MA Dubl) in 1750. He takes the competitive examination for a vacant fellowship of the college in 1750, but the position is secured instead by his friend Richard Murray, who is a few years older. Two fellowships become vacant the following year and Hamilton is elected to one of them at the age of 22. He is appointed Erasmus Smith’s Professor of Natural and Experimental Philosophy at Trinity College Dublin in 1759 and that same year graduates Bachelor of Divinity (BD). He is elected a Fellow of the Royal Society on February 19, 1761, and graduates Doctor of Divinity (DD) in 1762.

Trinity College presents him to the rectory of Kilmacrennan in the diocese of Raphoe, County Donegal, in 1764. This is a small benefice in the gift of the college, for which he resigns his fellowship. He retains the Erasmus Smith’s chair, however, being succeeded in that by Thomas Wilson in 1769. He resigns from Kilmacrenan in 1767 and becomes vicar of St. Ann’s Church in Dublin.

Hamilton then becomes Dean of Armagh, the chief resident cleric of St. Patrick’s Cathedral in Armagh, County Armagh, from April 1768 to 1796. Finding the existing dean’s house inconvenient and poorly situated, he has a new one built in a better location just off Portadown Road, now known as Dean’s Hill. The house, of three stories and a semi-basement, is built in 1772–74. The house is later sold by the church and the present owners provide bed and breakfast accommodation in it. While dean he also acts as treasurer for the infirmary or county hospital, he establishes Sunday schools in the districts of the parish, and he founds a charitable loan for poor tradesmen. He is also instrumental in planning a piped water supply for the town, which is later put into effect. He is one of the 38 original members of the Royal Irish Academy when it is founded in 1785. Gilbert Stuart paints his portrait in about 1790 (pictured above).

Hamilton is promoted to Bishop of Clonfert and Kilmacduagh on January 20, 1796, without seeking it. On January 24, 1799, he is translated to Ossory, where he is bishop until 1805. He dies of a fever at Kilkenny, County Kilkenny, on December 1, 1805. He is buried in the graveyard of St. Canice’s Cathedral at Kilkenny, and there is a memorial to him inside the cathedral.

Hamilton writes a mathematical treatise on conic sections called De Sectionibus Conicis: Tractatus Geometricus, published in 1758. In this book he “was the first to deduce the properties of the conic section from the properties of the cone, by demonstrations which were general, unencumbered by lemmas, and proceeding in a more natural and perspicuous order,” according to writer James Wills in 1847. The work is acclaimed for its lucidity and Leonhard Euler describes it as a perfect book. It is “soon adopted in all the British universities” and is translated from Latin into English as A Geometrical Treatise of the Conic Sections in 1773.

Hamilton also writes Philosophical Essays on Vapours (1767), Four Introductory Lectures on Natural Philosophy (1774), and An Essay on the Existence and Attributes of the Supreme Being (1784). His principal works are collected and republished, with a memoir, as The Works of the Right Rev. Hugh Hamilton by his eldest son, Alexander Hamilton, in two volumes in 1809.

Hamilton marries Isabella, daughter of Hans Widman Wood of Rosmead, County Westmeath, in 1772. Isabella’s mother Frances is the twin sister of Edward King, 1st Earl of Kingston. They have five sons and two daughters. They are Alexander, who was a barrister; Frances; Hans, who is rector of Knocktopher, County Kilkenny, and associated with the Carrickshock incident of 1831; Isabella; Henry; George, who is a biblical scholar; and Hugh, who marries Elizabeth Staples, a daughter of John Staples, a Member of Parliament. The younger Hugh is the great-grandfather of Clive Staples Lewis, better known as C. S. Lewis. Bishop Hugh Hamilton is a great-great-great-grandfather of the mathematicians John Lighton Synge and his brother Edward Hutchinson Synge. Dodgson Hamilton Madden, the High Court judge and noted scholar, is Hamilton’s great-grandson.

(Pictured: “Hugh Hamilton,” oil on canvas by Gilbert Stuart)


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Birth of John Lighton Synge, Mathematician & Physicist

John Lighton Synge FRSC FRS, mathematician and physicist, whose seven-decade career includes significant periods in Ireland, Canada, and the United States, is born in Dublin on March 23, 1897. He is a prolific author and influential mentor and is credited with the introduction of a new geometrical approach to the theory of relativity.

Synge is born into a prominent Church of Ireland family. His uncle, John Millington Synge, is a famous playwright. He is more distantly related to the winner of the 1952 Nobel Prize in Chemistry, Richard Laurence Millington Synge. He is a great-great-great-grandson of the mathematician and bishop Hugh Hamilton.

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 spends some of 1939 at Princeton University, and in 1941, he is a visiting professor at Brown University. In 1943 he is appointed as Chairman of the Mathematics Department of Ohio State University. Three years later he becomes Head of the Mathematics Department of the Carnegie Institute of Technology in Pittsburgh, where John Nash, Jr. is one of his students. He spends a short time as a ballistic mathematician in the United States Air Force between 1944 and 1945.

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 makes outstanding contributions to different fields of work including classical mechanics, general mechanics and geometrical optics, gas dynamics, hydrodynamics, elasticity, electrical networks, mathematical methods, differential geometry, and Albert Einstein‘s theory of relativity. He studies an extensive range of mathematical physics problems, but his best-known work revolves around using geometrical methods in general relativity.

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.


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Birth of Arthur William Conway, UCD President

arthur-william-conway

Arthur William Conway FRS, President of University College Dublin between 1940 and 1947, is born in Wexford, County Wexford, on October 2, 1875.

Conway receives his early education at St. Peter’s College, Wexford and proceeds to enter old University College, Dublin in 1892. He receives his BA degree from the Royal University of Ireland in 1896 with honours in Latin, English, Mathematics, and Natural Philosophy. In 1897, he receives his MA degree with highest honours in mathematics and proceeds to Corpus Christi College, Oxford, becoming University Scholar there in 1901. Also in 1901, he is appointed to the professorship of Mathematical Physics in the old University College and holds the Chair until the creation of the new college in 1909. He also teaches for a short time at St. Patrick’s College, Maynooth.

Conway marries Agnes Christina Bingham on August 19, 1903. They have three daughters and one son.

One of Conway’s students is Éamon de Valera, whom he introduces to quaternions which originate in Ireland. De Valera warms to the subject and engages in research of this novelty of abstract algebra. Later, when de Valera becomes Taoiseach, he calls upon Conway while forming the Dublin Institute for Advanced Studies.

Conway is remembered for his application of biquaternion algebra to the special theory of relativity. He publishes an article in 1911, and in 1912 asserts priority over Ludwik Silberstein, who also applies biquaternions to relativity. This claim is backed up by George Temple in his book 100 Years of Mathematics. In 1947 Conway puts quaternions to use with rotations in hyperbolic space. The next year he publishes quantum mechanics applications which are referred to in a PhD thesis by Joachim Lambek in 1950.

In 1918, Conway is the Irish Parliamentary Party candidate in South Londonderry and in the National University of Ireland, coming in second in both.

Conway continues his scholarship in the field of mathematics and theoretical physics and makes a special study of William Rowan Hamilton. With John Lighton Synge, he edits the first volume of Hamilton’s mathematical papers, and, with A. J. McConnell, he edits the second volume of Hamilton’s mathematical papers. Conway is also active in college life, being appointed Registrar, a position he occupies until his election as president in 1940. He retires in 1947 from the presidency of UCD. In 1953, some of his writings are edited by J. McConnell for publication by the Dublin Institute for Advanced Studies.

He is elected President of the Royal Irish Academy from 1937 to 1940.