Andrew H. Wallace Explained

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

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.^[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]

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. His name is attached to the Lickorish-Wallace theorem.

Selected publication

Articles

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

Books

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

Notes and References

1. Web site: In Memoriam: Andrew Wallace, upenn.edu . 11 September 2015 . https://web.archive.org/web/20160304083458/https://www.math.upenn.edu/History/obits/Andrew_Wallace.html . 4 March 2016 . dead . dmy-all .
2. Wallace, Andrew H.. Rational integral functions and associated linear transformations (Ph.D. thesis). 1949. University of St Andrews . Ph.D .
3. Web site: Wallace, Andrew H., Institute for Advanced Study . 11 September 2015 . 1 October 2015 . https://web.archive.org/web/20151001104444/https://www.ias.edu/people/cos/users/6037 . dead .
4. Fox, R. H.. Ralph Fox. Review: An introduction to algebraic topology by Andrew H. Wallace. Bull. Amer. Math. Soc.. 1958. 64. 6. 391–392. 10.1090/s0002-9904-1958-10250-5. free.
5. Cairns, Stewart S.. Review: Homology theory of algebraic varieties by Andrew H. Wallace. Bull. Amer. Math. Soc.. 1960. 66. 1. 5–6. 10.1090/s0002-9904-1960-10360-6. free.