Lawrence Zalcman Explained

Lawrence Allen Zalcman
Birth Date:	9 June 1943
Birth Place:	Kansas City, Missouri, US
Death Place:	Jerusalem, Israel
Nationality:	American-Israeli
Fields:	Mathematics
Workplaces:	Bar-Ilan University, University of Maryland, Stanford University
Alma Mater:	Dartmouth College, Massachusetts Institute of Technology
Thesis Year:	1968
Doctoral Advisor:	Kenneth Myron Hoffman
Known For:	Zalcman's Lemma, Zalcman domains, Zalcman functions, Pizzetti-Zalcman formula
Awards:	Chauvenet Prize (1976), Lester R. Ford Award (1975, 1981), Paul R. Halmos – Lester R. Ford Award (2017)

Lawrence Allen Zalcman (June 9, 1943 – May 31, 2022) was a professor (and later a professor emeritus) of Mathematics at Bar-Ilan University in Israel. His research primarily concerned Complex analysis, potential theory, and the relations of these ideas to approximation theory, harmonic analysis, integral geometry and partial differential equations.^{[1] [2]} On top of his scientific achievements, Zalcman received numerous awards for mathematical exposition, including the Chauvenet Prize^[3] in 1976, the Lester R. Ford Award in 1975^[3] and 1981,^[4] and the Paul R. Halmos – Lester R. Ford Award in 2017.^[5] In addition to Bar-Ilan University, Zalcman taught at the University of Maryland and Stanford University in the United States.

Life and career

Zalcman was born in Kansas City, Missouri on June 9, 1943. In 1961, he graduated from Southwest High School in Kansas City, Missouri before continuing his education at Dartmouth College, where he would graduate in 1964. Zalcman went on to receive his Ph.D. from the Massachusetts Institute of Technology in 1968 under the supervision of Kenneth Myron Hoffman. In 2012, Zalcman became a fellow of the American Mathematical Society.^[6]

In the theory of normal families, Zalcman's Lemma, which he used as part of his treatment of Bloch's principle, is named after him.^[7] Other eponymous honors are Zalcman domains, which play a role in the classification of Riemann surfaces, and Zalcman functions in complex dynamics. In the theory of partial differential equations, the Pizzetti-Zalcman formula is partially named after him.^[8]

Lawrence Zalcman died in Jerusalem on May 31, 2022.^[9]

Selected publications

• Book: Analytic capacity and rational approximation. Springer Verlag. 1968. 9783540358251.
• with Peter Lax: Complex proofs of real theorems, American Mathematical Society 2012^[10]

Notes and References

1. Web site: Prof. Lawrence Zalcman . Bar-Ilan University – Department of Mathematics . 13 December 2022 . https://web.archive.org/web/20221212153309/https://math.biu.ac.il/en/node/512 . 12 December 2022.
2. Lawrence Zalcman 1943—2022. Journal d'Analyse Mathématique. 2022. 10.1007/s11854-022-0229-0. free.
3. Zalcman . Lawrence . Real Proofs of Complex Theorems (And Vice Versa) . The American Mathematical Monthly . Taylor & Francis . 81 . 2 . 1974 . 0002-9890 . 10.1080/00029890.1974.11993518 . 115–137.
4. Zalcman . Lawrence . Offbeat Integral Geometry . The American Mathematical Monthly . Taylor & Francis . 87 . 3 . 1980 . 0002-9890 . 10.1080/00029890.1980.11994985 . 161–175.
5. A Tale of Three Theorems . The American Mathematical Monthly . Taylor & Francis . 123 . 7 . 2016 . 0002-9890 . 10.4169/amer.math.monthly.123.7.643 . 643–656. Lawrence Zalcman . 125789757 .
6. http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
7. Web site: Zalcman's Lemma . MathWorld.
8. Book: Carroll, R. W.. Showalter, R. E.. 1976. Academic Press. 96. Singular and degenerate Cauchy problems. 9780080956367.
9. Mark Agranovsky . Walter Bergweiler . Lawrence Allen Zalcman 1943–2022 . Computational Methods and Function Theory . Springer Nature . 13 December 2022 . 28 October 2022. 23 . 3–9 . 10.1007/s40315-022-00470-4 . 253217136 . free .
10. Web site: Hendel, Russell Jay. Review of Complex proofs of real theorems by Peter Lax and Lawrence Zalcman. MAA Reviews, Mathematical Association of America. 7 May 2012.