F. S. Macaulay
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Francis Sowerby Macaulay FRS (11 February 1862,
Witney Witney is a market town on the River Windrush in West Oxfordshire in the county of Oxfordshire, England. It is west of Oxford. History The Toponymy, place-name "Witney" is derived from the Old English for "Witta's island". The earliest kno ...
– 9 February 1937,
Cambridge Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
) was an
English English usually refers to: * English language * English people English may also refer to: Culture, language and peoples * ''English'', an adjective for something of, from, or related to England * ''English'', an Amish ter ...
mathematician who made significant contributions to
algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
. He is known for his 1916 book ''The Algebraic Theory of Modular Systems'' (an old term for ideals), which greatly influenced the later course of
commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideal (ring theory), ideals, and module (mathematics), modules over such rings. Both algebraic geometry and algebraic number theo ...
.
Cohen–Macaulay ring In mathematics, a Cohen–Macaulay ring is a commutative ring with some of the algebro-geometric properties of a smooth variety, such as local equidimensionality. Under mild assumptions, a local ring is Cohen–Macaulay exactly when it is a fin ...
s, Macaulay duality, the Macaulay resultant and the Macaulay and
Macaulay2 Macaulay2 is a free computer algebra system created by Daniel Grayson (from the University of Illinois at Urbana–Champaign) and Michael Stillman (from Cornell University) for computation in commutative algebra and algebraic geometry. Overview ...
computer algebra system A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The de ...
s are named for Macaulay. Macaulay was educated at
Kingswood School Kingswood School is a private day and boarding school in Bath, Somerset, England. The school is coeducational and educates over 1,000 pupils aged 9 months to 18 years. It was founded by John Wesley, the founder of Methodism, in 1748, and is the ...
and graduated with distinction from
St John's College, Cambridge St John's College, formally the College of St John the Evangelist in the University of Cambridge, is a Colleges of the University of Cambridge, constituent college of the University of Cambridge, founded by the House of Tudor, Tudor matriarch L ...
. He taught the top mathematics class in St Paul's School in
London London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
from 1885 to 1911. His students included J. E. Littlewood and
G. N. Watson George Neville Watson (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions. His collaboration on the 1915 second edition of E. T. Whittaker's ''A Course of Modern ...
. In 1928 Macaulay was elected
Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...
.


Publications

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See also

*
Gorenstein ring In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring ''R'' with finite injective dimension as an ''R''-module. There are many equivalent conditions, some of them listed below, often saying that a Gorenstein ring i ...


References

1862 births 1937 deaths 19th-century English mathematicians 20th-century English mathematicians Algebraic geometers Alumni of St John's College, Cambridge Fellows of the Royal Society People educated at Kingswood School, Bath {{UK-mathematician-stub