Charles Richard Francis Maunder (23 November 1937 – 5 June 2018) was a British mathematician and musicologist.

Early life

Maunder was educated at the

Royal Grammar School, High Wycombe , established = , closed = , type = Selective Grammar SchoolAcademy , head_label = Headmaster , head = Philip Wayne , r_head_label = , r_head = , chair_label = , chair = , founder ...

, and

Jesus College, Cambridge Jesus College is a constituent college of the University of Cambridge. The college's full name is The College of the Blessed Virgin Mary, Saint John the Evangelist and the glorious Virgin Saint Radegund, near Cambridge. Its common name comes fr ...

, before going on to complete a PhD at Christ’s College, Cambridge, in 1962. After teaching at

Southampton University , mottoeng = The Heights Yield to Endeavour , type = Public research university , established = 1862 – Hartley Institution1902 – Hartley University College1913 – Southampton University Coll ...

he became a fellow of Christ’s in 1964.

Mathematics

Maunder's field of work was

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 invariants that classify topological spaces up to homeomorphism, though usually most classify ...

. He used

Postnikov system In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space's homotopy groups using an inverse system of topological spaces whose homotopy type at degree k agrees with t ...

s to give an alternative construction of the

Atiyah–Hirzebruch spectral sequence In mathematics, the Atiyah–Hirzebruch spectral sequence is a spectral sequence for calculating generalized cohomology, introduced by in the special case of topological K-theory. For a CW complex X and a generalized cohomology theory E^\bullet, ...

. With this construction, the differentials can be better described. The family of higher

cohomology operation In mathematics, the cohomology operation concept became central to algebraic topology, particularly homotopy theory, from the 1950s onwards, in the shape of the simple definition that if ''F'' is a functor defining a cohomology theory, then a coho ...

s on mod-2 cohomology that he constructed has been discussed by several authors. In 1981 he gave a short proof of the

Kan-Thurston theorem In mathematics, particularly algebraic topology, the Kan-Thurston theorem associates a discrete group G to every path-connected topological space X in such a way that the group cohomology of G is the same as the cohomology of the space X. The grou ...

, according to which for every path-connected

topological space In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance. More specifically, a topological space is a set whose elements are called po ...

X there is a

discrete group In mathematics, a topological group ''G'' is called a discrete group if there is no limit point in it (i.e., for each element in ''G'', there is a neighborhood which only contains that element). Equivalently, the group ''G'' is discrete if and o ...

π such that there is a homology

isomorphism In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word i ...

of the

Eilenberg–MacLane space In mathematics, specifically algebraic topology, an Eilenberg–MacLane space Saunders Mac Lane originally spelt his name "MacLane" (without a space), and co-published the papers establishing the notion of Eilenberg–MacLane spaces under this name ...

K(π,1) after X. His textbook ''Algebraic Topology'' (1970) continues to circulate in the 1996 Dover edition.

Musicology

Maunder created a new version of

Mozart's Requiem The Requiem in D minor, K. 626, is a requiem mass by Wolfgang Amadeus Mozart (1756–1791). Mozart composed part of the Requiem in Vienna in late 1791, but it was unfinished at his death on 5 December the same year. A completed version date ...

. Following on from other musicologists such as Ernst Hess, Franz Beyer and

Robert D. Levin Robert David Levin (born October 13, 1947) is an American classical pianist, musicologist and composer, and served as the artistic director of the Sarasota Music Festival from 2007 to 2017. Education Born in Brooklyn, Levin attended the Brookly ...

, he presented a fundamental revision of Mozart's last work, in which, like his predecessors, he wanted to remove Süssmayr's additions as far as possible and replace them with Mozart's own ideas. This new version was recorded by Christopher Hogwood with the Academy of Ancient Music in 1983 and the score was published in 1988. In 1992 it was recorded by . In doing so, Maunder rejected Süssmayr's ''Sanctus'' and ''Benedictus'' completely and removed them from the work; he considered only the ''Agnus Dei'' to be authentic because of its comparisons with other church music works by Mozart. Maunder also composed an ''Amen'' fugue for the conclusion of the ''Lacrimosa'', for which he took Mozart's sketch sheet and a fugue for organ roll by Mozart () as a starting point. He also fundamentally revised Süssmayr's instrumentation throughout the Requiem. This version was performed several times in German-speaking countries, including a dance version ''Requiem!'' by . Maunder's edition of Mozart's C minor Mass was published in 1990 and was first recorded by Hogwood in the same year.

Works

Mathematics

* * * Reissued in 1980 (

Cambridge University Press Cambridge University Press is the university press of the University of Cambridge. Granted letters patent by King Henry VIII in 1534, it is the oldest university press in the world. It is also the King's Printer. Cambridge University Pre ...

, ISBN 0-521-29840-7) and 1996 (Dover Publications,

Mineola, New York Mineola is a village in and the county seat of Nassau County, on Long Island, in New York, United States. The population was 18,799 at the 2010 census. The name is derived from an Algonquin Chief, Miniolagamika, which means "pleasant village". ...

, ISBN 0-486-69131-4) *

Musicology

* (as editor) * * (as editor) *

References

{{DEFAULTSORT:Maunder, Richard 1937 births 2018 deaths People educated at the Royal Grammar School, High Wycombe Alumni of Jesus College, Cambridge Alumni of Christ's College, Cambridge British mathematicians British musicologists Mozart scholars