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From Wikipedia, the free encyclopedia

Richard Maunder
Born
Charles Richard Francis Maunder

(1937-11-23)23 November 1937
Southsea, Hampshire
Died5 June 2018(2018-06-05) (aged 80)
Academic background
Education Royal Grammar School, High Wycombe
Alma mater
Thesis Cohomology Operations of the Nth Kind (1962)
Doctoral advisor Frank Adams
Academic work
DisciplineMathematics, musicology
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. [1]

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. [2] [3] The family of higher cohomology operations on mod-2 cohomology that he constructed has been discussed by several authors. [4] [5] [6] In 1981 he gave a short proof of the Kan-Thurston theorem, [7] 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. [8] In 1992 it was recorded by Rupert Gottfried Frieberger [ de]. [9]

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 ( K. 608 [ fr]) as a starting point. He also fundamentally revised Süssmayr's instrumentation throughout the Requiem. [10]

This version was performed several times in German-speaking countries, including a dance version Requiem! by Birgit Scherzer [ de].

Maunder's edition of Mozart's C minor Mass was published in 1990 [11] and was first recorded by Hogwood in the same year.

Works

Mathematics

  • Maunder, C. R. F. (1963). "Cohomology operations of the Nth kind". Proceedings of the London Mathematical Society (Third Series). 13 (1): 125–154. doi: 10.1112/plms/s3-13.1.125. ISSN  0024-6115.
  • Maunder, C. R. F. (1963). "The spectral sequence of an extraordinary cohomology theory". Mathematical Proceedings of the Cambridge Philosophical Society. 59 (3): 567–574. Bibcode: 1963PCPS...59..567M. doi: 10.1017/S0305004100037245. ISSN  0305-0041. S2CID  122794658.
  • Maunder, C. R. F. (1970). Algebraic Topology. London: Van Nostrand Reinhold. 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)
  • Maunder, C. R. F. (1981). "A short proof of a theorem of Kan and Thurston". Bulletin of the London Mathematical Society. 13 (4): 325–327. doi: 10.1112/blms/13.4.325. ISSN  0024-6093.

Musicology

References

  1. ^ "Richard Maunder obituary". The Guardian. 11 July 2018.
  2. ^ Oda, Nobuyuki; Shitanda, Yoshimi (1986). "On the unstable homotopy spectral sequences". Manuscripta Mathematica. 56 (1): 19–35. doi: 10.1007/BF01171031. ISSN  0025-2611. S2CID  122846873.
  3. ^ Grady, Daniel; Sati, Hisham (2016). "Spectral sequences in smooth generalized cohomology". arXiv: 1605.03444v1 [ math.AT].
  4. ^ McLendon, J.F. (1969). "Higher order twisted cohomology operations". Inventiones Mathematicae. 7 (3): 183–214. Bibcode: 1969InMat...7..183M. doi: 10.1007/BF01404305. S2CID  119895355.
  5. ^ Gitler, Samuel; Milgram, James (1971). "Unstable divisibility of the Chern character". In Hilton, Peter J. (ed.). Symposium on Algebraic Topology. Lecture Notes in Mathematics. Vol. 249. Battelle Seattle Research Center. pp. 31–33. doi: 10.1007/BFb0060893. ISBN  3-540-05715-3.
  6. ^ Adem, José; Lam, Kee Yuen (1977). Palis, Jacob; do Carmo, Manfredo (eds.). "Evaluation of some Maunder cohomology operations". Geometry and Topology. Lecture Notes in Mathematics. 597. III Latin American School of Mathematics: 1–31. doi: 10.1007/BFb0085345. ISBN  3-540-08345-6.
  7. ^ Maunder, C.R.F. (1981). "A Short Proof of a Theorem of Kan and Thurston". Bulletin of the London Mathematical Society. 13 (4): 325–327. doi: 10.1112/blms/13.4.325.
  8. ^ Moseley, Paul (1989). "Requiem, K. 626 by Wolfgang Amadeus Mozart, Franz Beyer, Richard Maunder". Music & Letters (Review). 70 (4): 588–590. doi: 10.1093/ml/70.4.588. ISSN  0027-4224. JSTOR  736022.
  9. ^ von Lewinski, W.-E. (14 November 1992). "Alt klingend, neu gefaßt: Mozarts Requiem unter Frieberger und Norrington". Süddeutsche Zeitung..
  10. ^ Moseley, Paul (1989). "Mozart's Requiem: On Preparing a New Edition by Richard Maunder". Music & Letters (Review). 70 (4): 545–547. doi: 10.1093/ml/70.4.545. ISSN  0027-4224. JSTOR  735996.
  11. ^ McCaldin, Denis (1991). "Mozart, Wolfgang Amadeus, Mass in C Minor K.427, ed. Richard Maunder". Music & Letters (Full score/vocal score). 72 (2): 332–334. doi: 10.1093/ml/72.2.332. ISSN  0027-4224. JSTOR  735744.
From Wikipedia, the free encyclopedia

Richard Maunder
Born
Charles Richard Francis Maunder

(1937-11-23)23 November 1937
Southsea, Hampshire
Died5 June 2018(2018-06-05) (aged 80)
Academic background
Education Royal Grammar School, High Wycombe
Alma mater
Thesis Cohomology Operations of the Nth Kind (1962)
Doctoral advisor Frank Adams
Academic work
DisciplineMathematics, musicology
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. [1]

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. [2] [3] The family of higher cohomology operations on mod-2 cohomology that he constructed has been discussed by several authors. [4] [5] [6] In 1981 he gave a short proof of the Kan-Thurston theorem, [7] 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. [8] In 1992 it was recorded by Rupert Gottfried Frieberger [ de]. [9]

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 ( K. 608 [ fr]) as a starting point. He also fundamentally revised Süssmayr's instrumentation throughout the Requiem. [10]

This version was performed several times in German-speaking countries, including a dance version Requiem! by Birgit Scherzer [ de].

Maunder's edition of Mozart's C minor Mass was published in 1990 [11] and was first recorded by Hogwood in the same year.

Works

Mathematics

  • Maunder, C. R. F. (1963). "Cohomology operations of the Nth kind". Proceedings of the London Mathematical Society (Third Series). 13 (1): 125–154. doi: 10.1112/plms/s3-13.1.125. ISSN  0024-6115.
  • Maunder, C. R. F. (1963). "The spectral sequence of an extraordinary cohomology theory". Mathematical Proceedings of the Cambridge Philosophical Society. 59 (3): 567–574. Bibcode: 1963PCPS...59..567M. doi: 10.1017/S0305004100037245. ISSN  0305-0041. S2CID  122794658.
  • Maunder, C. R. F. (1970). Algebraic Topology. London: Van Nostrand Reinhold. 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)
  • Maunder, C. R. F. (1981). "A short proof of a theorem of Kan and Thurston". Bulletin of the London Mathematical Society. 13 (4): 325–327. doi: 10.1112/blms/13.4.325. ISSN  0024-6093.

Musicology

References

  1. ^ "Richard Maunder obituary". The Guardian. 11 July 2018.
  2. ^ Oda, Nobuyuki; Shitanda, Yoshimi (1986). "On the unstable homotopy spectral sequences". Manuscripta Mathematica. 56 (1): 19–35. doi: 10.1007/BF01171031. ISSN  0025-2611. S2CID  122846873.
  3. ^ Grady, Daniel; Sati, Hisham (2016). "Spectral sequences in smooth generalized cohomology". arXiv: 1605.03444v1 [ math.AT].
  4. ^ McLendon, J.F. (1969). "Higher order twisted cohomology operations". Inventiones Mathematicae. 7 (3): 183–214. Bibcode: 1969InMat...7..183M. doi: 10.1007/BF01404305. S2CID  119895355.
  5. ^ Gitler, Samuel; Milgram, James (1971). "Unstable divisibility of the Chern character". In Hilton, Peter J. (ed.). Symposium on Algebraic Topology. Lecture Notes in Mathematics. Vol. 249. Battelle Seattle Research Center. pp. 31–33. doi: 10.1007/BFb0060893. ISBN  3-540-05715-3.
  6. ^ Adem, José; Lam, Kee Yuen (1977). Palis, Jacob; do Carmo, Manfredo (eds.). "Evaluation of some Maunder cohomology operations". Geometry and Topology. Lecture Notes in Mathematics. 597. III Latin American School of Mathematics: 1–31. doi: 10.1007/BFb0085345. ISBN  3-540-08345-6.
  7. ^ Maunder, C.R.F. (1981). "A Short Proof of a Theorem of Kan and Thurston". Bulletin of the London Mathematical Society. 13 (4): 325–327. doi: 10.1112/blms/13.4.325.
  8. ^ Moseley, Paul (1989). "Requiem, K. 626 by Wolfgang Amadeus Mozart, Franz Beyer, Richard Maunder". Music & Letters (Review). 70 (4): 588–590. doi: 10.1093/ml/70.4.588. ISSN  0027-4224. JSTOR  736022.
  9. ^ von Lewinski, W.-E. (14 November 1992). "Alt klingend, neu gefaßt: Mozarts Requiem unter Frieberger und Norrington". Süddeutsche Zeitung..
  10. ^ Moseley, Paul (1989). "Mozart's Requiem: On Preparing a New Edition by Richard Maunder". Music & Letters (Review). 70 (4): 545–547. doi: 10.1093/ml/70.4.545. ISSN  0027-4224. JSTOR  735996.
  11. ^ McCaldin, Denis (1991). "Mozart, Wolfgang Amadeus, Mass in C Minor K.427, ed. Richard Maunder". Music & Letters (Full score/vocal score). 72 (2): 332–334. doi: 10.1093/ml/72.2.332. ISSN  0027-4224. JSTOR  735744.

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