Richard Maunder

{{Short description|British mathematician and musicologist (1937–2018)}} {{Use dmy dates|date=February 2023}} {{Use British English|date=February 2023}} {{Infobox academic | name =  | image =  | alt =  | caption = | birth_name = Charles Richard Francis Maunder | birth_date = {{Birth date|1937|11|23|df=y}} | birth_place = Southsea, Hampshire | death_date = {{Death date and age|2018|6|5|1937|11|23|df=y}} | death_place = Cambridge | nationality =  | other_names = | discipline = Mathematics, musicology | known_for = | notable_works = | education = Royal Grammar School, High Wycombe | alma_mater = {{unbulleted list|Jesus College, Cambridge|Christ’s College, Cambridge}} | thesis_title = Cohomology Operations of the Nth Kind | thesis_url = https://doi.org/10.1112/plms/s3-13.1.125 | thesis_year = 1962 | doctoral_advisor = Frank Adams | doctoral_students = Nigel Martin }} '''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, and Jesus College, Cambridge, before going on to complete a PhD at Christ’s College, Cambridge, in 1962. After teaching at Southampton University he became a fellow of Christ’s in 1964.<ref>{{cite news |url=https://www.theguardian.com/music/2018/jul/11/richard-maunder-obituary |title=Richard Maunder obituary |newspaper=The Guardian |date=11 July 2018}}</ref>

==Mathematics== Maunder's field of work was algebraic topology. He used Postnikov systems to give an alternative construction of the Atiyah–Hirzebruch spectral sequence. With this construction, the differentials can be better described.<ref>{{Cite journal |first1=Nobuyuki |last1=Oda |first2=Yoshimi |last2=Shitanda |title=On the unstable homotopy spectral sequences |journal=Manuscripta Mathematica |volume=56 |issue=1 |year=1986 |issn=0025-2611 |pages=19–35 |doi=10.1007/BF01171031|s2cid=122846873 }}</ref><ref>{{Cite arXiv |first1=Daniel |last1=Grady |first2=Hisham |last2=Sati |title=Spectral sequences in smooth generalized cohomology |year=2016 |class=math.AT |eprint=1605.03444v1 }}</ref> The family of higher cohomology operations on mod-2 cohomology that he constructed has been discussed by several authors.<ref>{{Cite journal |first1=J.F. |last1=McLendon |title=Higher order twisted cohomology operations |journal=Inventiones Mathematicae |volume=7 |issue=3 |year=1969 |pages=183–214 |doi=10.1007/BF01404305|bibcode=1969InMat...7..183M |s2cid=119895355 }}</ref><ref>{{Cite encyclopedia |first1=Samuel |last1=Gitler |first2=James |last2=Milgram |editor-first=Peter J. |editor-last=Hilton |title=Unstable divisibility of the chern character |encyclopedia=Symposium on Algebraic Topology |publisher=Battelle Seattle Research Center |series=Lecture Notes in Mathematics |year=1971 |volume=249 |isbn=3-540-05715-3 |pages=31–33 |doi=10.1007/BFb0060893}}</ref><ref>{{Cite book |first1=José |last1=Adem |first2=Kee Yuen |last2=Lam |chapter=Evaluation of some Maunder cohomology operations |editor1-first=Jacob |editor1-last=Palis |editor2-first=Manfredo |editor2-last=do Carmo |editor2-link=Manfredo do Carmo |title=Geometry and Topology |publisher=III Latin American School of Mathematics |series=Lecture Notes in Mathematics |year=1977 |volume=597 |isbn=3-540-08345-6 |pages=1–31 |doi=10.1007/BFb0085345}}</ref> In 1981 he gave a short proof of the Kan-Thurston theorem,<ref>{{Cite journal |first1=C.R.F. |last1=Maunder |title=A Short Proof of a Theorem of Kan and Thurston |journal=Bulletin of the London Mathematical Society |volume=13 |issue=4 |year=1981 |pages=325–327 |doi=10.1112/blms/13.4.325}}</ref> according to which for every path-connected topological space X there is a discrete group π such that there is a homology isomorphism of the Eilenberg–MacLane space 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. Following on from other musicologists such as Ernst Hess, Franz Beyer and Robert D. Levin, 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.<ref>{{Cite journal |first1=Paul |last1=Moseley |title=Requiem, K. 626 by Wolfgang Amadeus Mozart, Franz Beyer, Richard Maunder |type=Review |journal=Music & Letters |volume=70 |issue=4 |year=1989 |issn=0027-4224 |pages=588–590 |doi=10.1093/ml/70.4.588 |jstor=736022}}</ref> In 1992 it was recorded by {{ill|Rupert Gottfried Frieberger|de}}.<ref>{{Cite news |first1=W.-E. |last1=von Lewinski |title=''Alt klingend, neu gefaßt: Mozarts Requiem unter Frieberger und Norrington'' |newspaper=Süddeutsche Zeitung |date=1992-11-14}}.</ref>

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 ({{ill|K. 608|fr|Fantaisie en fa mineur pour orgue mécanique, K. 608}}) as a starting point. He also fundamentally revised Süssmayr's instrumentation throughout the Requiem.<ref>{{Cite journal |first1=Paul |last1=Moseley |title=''Mozart's Requiem: On Preparing a New Edition'' by Richard Maunder |type=Review |journal=Music & Letters |volume=70 |issue=4 |year=1989 |issn=0027-4224 |pages=545–547 |doi=10.1093/ml/70.4.545 |jstor=735996}}</ref>

This version was performed several times in German-speaking countries, including a dance version ''Requiem!'' by {{ill|Birgit Scherzer|de}}.

Maunder's edition of Mozart's C minor Mass was published in 1990<ref>{{Cite journal |first1=Denis |last1=McCaldin |title=Mozart, Wolfgang Amadeus, Mass in C Minor K.427, ed. Richard Maunder |type=Full score/vocal score |journal=Music & Letters |volume=72 |issue=2 |year=1991 |issn=0027-4224 |pages=332–334 |doi=10.1093/ml/72.2.332 |jstor=735744}}</ref> and was first recorded by Hogwood in the same year. Maunder edited also pieces by Francesco Geminiani, Tomaso Albinoni, Henry Purcell, members of the Bach Family, Giuseppe Sammartini and others. https://imslp.org/wiki/Category:Maunder,_Richard

==Works== ===Mathematics=== * {{Cite journal |first1=C. R. F. |last1=Maunder |title=Cohomology operations of the ''N''th kind |journal=Proceedings of the London Mathematical Society |type=Third Series |volume=13 |issue=1 |year=1963 |issn=0024-6115 |pages=125–154|doi=10.1112/plms/s3-13.1.125 }} * {{Cite journal |first1=C. R. F. |last1=Maunder |title=The spectral sequence of an extraordinary cohomology theory |journal=Mathematical Proceedings of the Cambridge Philosophical Society |volume=59 |issue=3 |year=1963 |issn=0305-0041 |pages=567–574|doi=10.1017/S0305004100037245 |bibcode=1963PCPS...59..567M |s2cid=122794658 }} * {{Cite book |first1=C. R. F. |last1=Maunder |title=Algebraic Topology |publisher=Van Nostrand Reinhold |location=London |year=1970 |isbn=0-442-05168-9}} Reissued in 1980 (Cambridge University Press, ISBN 0-521-29840-7) and 1996 (Dover Publications, Mineola, New York, ISBN 0-486-69131-4) * {{Cite journal |first1=C. R. F. |last1=Maunder |title=A short proof of a theorem of Kan and Thurston |journal=Bulletin of the London Mathematical Society |volume=13 |issue=4 |year=1981 |issn=0024-6093 |pages=325–327|doi=10.1112/blms/13.4.325 }}

===Musicology=== * (as editor) {{Cite book |first1=Wolfgang Amadeus |last1=Mozart |title=''Requiem'', K. 626 |type=Full score |publisher=Oxford University Press |year=1988 |isbn=0-19-337618-0}} * {{Cite book |first1=Richard |last1=Maunder |title=Mozart's Requiem: On preparing a new edition |publisher=Clarendon Press |location=Oxford |year=1988 |isbn=0-19-316413-2}} * (as editor) {{Cite book |first1=Wolfgang Amadeus |last1=Mozart |title=Mass in C Minor K427 |publisher=Oxford University Press |year=1990 |isbn=0-19-337615-6}} * {{Cite book |first1=Richard |last1=Maunder |title=Keyboard instruments in eighteenth-century Vienna |publisher=Clarendon Press |year=1998 |isbn=0-19-816637-0}}

==References== {{Reflist}}

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