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==Biography==
==Biography==
Andrew Hugh Wallace was born and raised in [[Edinburgh]], Scotland. He received in 1946 an MA in mathematics from [[Edinburgh University]] and in 1949 a PhD from [[St. Andrews University]] with thesis ''Rational integral functions and associated linear transformations''.<ref>{{cite journal|author=Wallace, Andrew H.|url=http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.665980|title=Rational integral functions and associated linear transformations (Ph.D. thesis)|year=1949}}</ref> In the 1950s he was an assistant professor of mathematics at the [[University of Toronto]] in Canada. In 1959 he became a professor at [[Indiana University]]'s mathematics department, where he was also department chair. In 1965 he left Indiana to become a mathematics professor at the [[University of Pennsylvania]], where he remained until his retirement as professor emeritus in 1986.<ref name=PennBio/> For the academic year 1964–1965 and the first five months of 1968 he was a visiting scholar at the [[Institute for Advanced Study]].<ref>[http://www.ias.edu/people/cos/users/6037 Wallace, Andrew H., Institute for Advanced Study]</ref>
Andrew Hugh Wallace was born and raised in [[Edinburgh]], Scotland. He received in 1946 an MA in mathematics from [[Edinburgh University]] and in 1949 a PhD from [[St. Andrews University]] with thesis ''Rational integral functions and associated linear transformations''.<ref>{{cite thesis|author=Wallace, Andrew H.|url=http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.665980|title=Rational integral functions and associated linear transformations (Ph.D. thesis)|year=1949| publisher=University of St Andrews | type=Ph.D }}</ref> In the 1950s he was an assistant professor of mathematics at the [[University of Toronto]] in Canada. In 1959 he became a professor at [[Indiana University]]'s mathematics department, where he was also department chair. In 1965 he left Indiana to become a mathematics professor at the [[University of Pennsylvania]], where he remained until his retirement as professor emeritus in 1986.<ref name=PennBio/> For the academic year 1964–1965 and the first five months of 1968 he was a visiting scholar at the [[Institute for Advanced Study]].<ref>{{Cite web |url=http://www.ias.edu/people/cos/users/6037 |title=Wallace, Andrew H., Institute for Advanced Study |access-date=11 September 2015 |archive-date=1 October 2015 |archive-url=https://web.archive.org/web/20151001104444/https://www.ias.edu/people/cos/users/6037 |url-status=dead }}</ref>


{{quote|Colleagues said his mathematical work was mainly concentrated in topology where he produced fundamental results reported on principally in his series of papers entitled "Modifications and Cobounding Manifolds." Here, he essentially settled in dimensions 5 and higher, the basic open problem regarding these geometric objects, though he did not push his results to an explicit statement of the solution. This was done by an independent method and almost simultaneously by Dr. [[Stephen Smale]] ... Dr. Wallace's work in the topology of three dimensional spaces was groundbreaking and remains frequently cited and used to the present day.<ref name=PennBio/>}}
{{quote|Colleagues said his mathematical work was mainly concentrated in topology where he produced fundamental results reported on principally in his series of papers entitled "Modifications and Cobounding Manifolds." Here, he essentially settled in dimensions 5 and higher, the basic open problem regarding these geometric objects, though he did not push his results to an explicit statement of the solution. This was done by an independent method and almost simultaneously by Dr. [[Stephen Smale]] ... Dr. Wallace's work in the topology of three dimensional spaces was groundbreaking and remains frequently cited and used to the present day.<ref name=PennBio/>}}
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===Articles===
===Articles===
*{{cite journal|title=Invariant matrices and the Gordan-Capelli series|journal=Proceedings of the London Mathematical Society|volume=3|issue=1|year=1952|pages=98–127|url=http://plms.oxfordjournals.org/content/s3-2/1/98.extract|doi=10.1112/plms/s3-2.1.98|last1=Wallace|first1=Andrew H.}}
*{{cite journal|title=Invariant matrices and the Gordan-Capelli series|journal=Proceedings of the London Mathematical Society|volume=3|issue=1|year=1952|pages=98–127|doi=10.1112/plms/s3-2.1.98|last1=Wallace|first1=Andrew H.}}
*{{cite journal|title=A note on the Capelli operators associated with a symmetric matrix|journal=Proceedings of the Edinburgh Mathematical Society |series=Series 2|year=1953|volume=9|issue=1|pages= 7–12|doi=10.1017/s0013091500013961|doi-access=free|last1=Wallace |first1=Andrew H. }}
*{{cite journal|title=A note on the Capelli operators associated with a symmetric matrix|journal=Proceedings of the Edinburgh Mathematical Society |series=Series 2|year=1953|volume=9|issue=1|pages= 7–12|doi=10.1017/s0013091500013961|doi-access=free|last1=Wallace |first1=Andrew H. }}
*{{cite journal|title=Tangency and duality over arbitrary fields|journal=Proceedings of the London Mathematical Society|volume=3|issue=3|year=1956|pages=321–342|doi=10.1112/plms/s3-6.3.321|last1=Wallace|first1=Andrew H.}}
*{{cite journal|title=Tangency and duality over arbitrary fields|journal=Proceedings of the London Mathematical Society|volume=3|issue=3|year=1956|pages=321–342|doi=10.1112/plms/s3-6.3.321|last1=Wallace|first1=Andrew H.}}
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*{{cite book|title=An introduction to algebraic topology|year=1957|location=NY|publisher=Pergamon Press}}<ref>{{cite journal|author=Fox, R. H.|authorlink=Ralph Fox|title=Review: ''An introduction to algebraic topology'' by Andrew H. Wallace|journal=Bull. Amer. Math. Soc.|year=1958|volume=64|issue=6|pages=391–392|url=https://www.ams.org/journals/bull/1958-64-06/S0002-9904-1958-10250-5/S0002-9904-1958-10250-5.pdf|doi=10.1090/s0002-9904-1958-10250-5|doi-access=free}}</ref>
*{{cite book|title=An introduction to algebraic topology|year=1957|location=NY|publisher=Pergamon Press}}<ref>{{cite journal|author=Fox, R. H.|authorlink=Ralph Fox|title=Review: ''An introduction to algebraic topology'' by Andrew H. Wallace|journal=Bull. Amer. Math. Soc.|year=1958|volume=64|issue=6|pages=391–392|url=https://www.ams.org/journals/bull/1958-64-06/S0002-9904-1958-10250-5/S0002-9904-1958-10250-5.pdf|doi=10.1090/s0002-9904-1958-10250-5|doi-access=free}}</ref>
*{{cite book|title=Homology theory on algebraic varieties|year=1958|location=NY|publisher=Pergamon Press}}<ref>{{cite journal|author=Cairns, Stewart S.|title=Review: ''Homology theory of algebraic varieties'' by Andrew H. Wallace|journal=Bull. Amer. Math. Soc.|year=1960|volume=66|issue=1|pages=5–6|url=https://www.ams.org/journals/bull/1960-66-01/S0002-9904-1960-10360-6/S0002-9904-1960-10360-6.pdf|doi=10.1090/s0002-9904-1960-10360-6|doi-access=free}}</ref> {{cite book|title=reprint|publisher=Dover|year=2015}}
*{{cite book|title=Homology theory on algebraic varieties|year=1958|location=NY|publisher=Pergamon Press}}<ref>{{cite journal|author=Cairns, Stewart S.|title=Review: ''Homology theory of algebraic varieties'' by Andrew H. Wallace|journal=Bull. Amer. Math. Soc.|year=1960|volume=66|issue=1|pages=5–6|url=https://www.ams.org/journals/bull/1960-66-01/S0002-9904-1960-10360-6/S0002-9904-1960-10360-6.pdf|doi=10.1090/s0002-9904-1960-10360-6|doi-access=free}}</ref> {{cite book|title=reprint|publisher=Dover|year=2015}}
*{{cite book|title=Differential topology: first steps|url=https://archive.org/details/differentialtopo0000wall|url-access=registration|year=1968|location=NY|publisher=W. H. Benjamin}} {{cite book|title=reprint|publisher=Dover|year=2006}}
*{{cite book|title=Differential topology: first steps|url=https://archive.org/details/differentialtopo0000wall|url-access=registration|year=1968|location=NY|publisher=W. H. Benjamin|isbn=9780805394856 }} {{cite book|title=reprint|publisher=Dover|year=2006}}
*{{cite book|title=Algebraic topology: homology and cohomology|year=1970|location=NY|publisher=W. H. Benjamin}} {{cite book|title=reprint|publisher=Dover|year=2007}}
*{{cite book|title=Algebraic topology: homology and cohomology|year=1970|location=NY|publisher=W. H. Benjamin}} {{cite book|title=reprint|publisher=Dover|year=2007}}


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[[Category:Alumni of the University of Edinburgh]]
[[Category:Alumni of the University of Edinburgh]]
[[Category:Alumni of the University of St Andrews]]
[[Category:Alumni of the University of St Andrews]]
[[Category:University of Toronto faculty]]
[[Category:Academic staff of the University of Toronto]]
[[Category:Indiana University faculty]]
[[Category:Indiana University faculty]]
[[Category:University of Pennsylvania faculty]]
[[Category:University of Pennsylvania faculty]]
[[Category:Mathematicians at the University of Pennsylvania]]
[[Category:Institute for Advanced Study visiting scholars]]
[[Category:Institute for Advanced Study visiting scholars]]
[[Category:People from Edinburgh]]
[[Category:Scientists from Edinburgh]]
[[Category:Sir Edmund Whittaker Memorial Prize winners]]
[[Category:Sir Edmund Whittaker Memorial Prize winners]]

Latest revision as of 07:51, 27 August 2023

Andrew Hugh Wallace (1926 – 18 January 2008) was a Scottish-American mathematician.[1]

Biography[edit]

Andrew Hugh Wallace was born and raised in Edinburgh, Scotland. He received in 1946 an MA in mathematics from Edinburgh University and in 1949 a PhD from St. Andrews University with thesis Rational integral functions and associated linear transformations.[2] In the 1950s he was an assistant professor of mathematics at the University of Toronto in Canada. In 1959 he became a professor at Indiana University's mathematics department, where he was also department chair. In 1965 he left Indiana to become a mathematics professor at the University of Pennsylvania, where he remained until his retirement as professor emeritus in 1986.[1] For the academic year 1964–1965 and the first five months of 1968 he was a visiting scholar at the Institute for Advanced Study.[3]

Colleagues said his mathematical work was mainly concentrated in topology where he produced fundamental results reported on principally in his series of papers entitled "Modifications and Cobounding Manifolds." Here, he essentially settled in dimensions 5 and higher, the basic open problem regarding these geometric objects, though he did not push his results to an explicit statement of the solution. This was done by an independent method and almost simultaneously by Dr. Stephen Smale ... Dr. Wallace's work in the topology of three dimensional spaces was groundbreaking and remains frequently cited and used to the present day.[1]

In addition to his work in mathematics, Andrew Wallace was an accomplished pianist, dancer, painter, and sailor. His greatest passion during his later life was sailing. He maintained a 35-foot craft. After his retirement, he and a small crew sailed his boat across the Atlantic and Mediterranean to his new home in Crete. He lived in Crete with his second wife Dimitra until he died in 2008.

Upon his death he was survived by his first wife, Angela Wallace (now Angela Kern) and three daughters: Linda Kipp, Susan George, and Corinne Summers. He was also survived by his second wife, Dimitra Chilari and a step-daughter, Irene Chilari.[1] His name is attached to the Lickorish-Wallace theorem.

Selected publication[edit]

Articles[edit]

  • Wallace, Andrew H. (1952). "Invariant matrices and the Gordan-Capelli series". Proceedings of the London Mathematical Society. 3 (1): 98–127. doi:10.1112/plms/s3-2.1.98.
  • Wallace, Andrew H. (1953). "A note on the Capelli operators associated with a symmetric matrix". Proceedings of the Edinburgh Mathematical Society. Series 2. 9 (1): 7–12. doi:10.1017/s0013091500013961.
  • Wallace, Andrew H. (1956). "Tangency and duality over arbitrary fields". Proceedings of the London Mathematical Society. 3 (3): 321–342. doi:10.1112/plms/s3-6.3.321.
  • Wallace, Andrew H. (1956). "On the homology theory of algebraic varieties, I". Annals of Mathematics. 63 (2): 248–271. doi:10.2307/1969608. JSTOR 1969608.
  • Wallace, Andrew H. (1960). "Modifications and cobounding manifolds". Can. J. Math. 12: 503–528. doi:10.4153/CJM-1960-045-7.
  • "Modifications and cobounding manifolds. 2". Journal of Mathematics and Mechanics. 10 (5): 773–809. 1961.
  • Wallace, Andrew H. (1962). "A geometric method in differential topology". Bull. Amer. Math. Soc. 68 (6): 533–542. doi:10.1090/s0002-9904-1962-10831-3. MR 0142127.

Books[edit]

  • An introduction to algebraic topology. NY: Pergamon Press. 1957.[4]
  • Homology theory on algebraic varieties. NY: Pergamon Press. 1958.[5] reprint. Dover. 2015.
  • Differential topology: first steps. NY: W. H. Benjamin. 1968. ISBN 9780805394856. reprint. Dover. 2006.
  • Algebraic topology: homology and cohomology. NY: W. H. Benjamin. 1970. reprint. Dover. 2007.

References[edit]

  1. ^ a b c d "In Memoriam: Andrew Wallace, upenn.edu". Archived from the original on 4 March 2016. Retrieved 11 September 2015.
  2. ^ Wallace, Andrew H. (1949). Rational integral functions and associated linear transformations (Ph.D. thesis) (Ph.D). University of St Andrews.
  3. ^ "Wallace, Andrew H., Institute for Advanced Study". Archived from the original on 1 October 2015. Retrieved 11 September 2015.
  4. ^ Fox, R. H. (1958). "Review: An introduction to algebraic topology by Andrew H. Wallace" (PDF). Bull. Amer. Math. Soc. 64 (6): 391–392. doi:10.1090/s0002-9904-1958-10250-5.
  5. ^ Cairns, Stewart S. (1960). "Review: Homology theory of algebraic varieties by Andrew H. Wallace" (PDF). Bull. Amer. Math. Soc. 66 (1): 5–6. doi:10.1090/s0002-9904-1960-10360-6.

External links[edit]

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