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Cathleen Synge Morawetz

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5 May 1923

Toronto, Canada

Cathleen Morawetz was christened Cathleen Synge. Her father was John Lighton Synge , a mathematician who has a biography in this archive, while her mother, Eleanor Mabel Allen Synge, also had some training as a mathematician. Both Cathleen's parents were Irish but she was born in Toronto while her father held the position of assistant professor of mathematics at the University of Toronto. However, when she was two years old the family returned to Ireland when her father was appointed to the chair of Natural Philosophy at Dublin University. When Cathleen was seven years old the family returned to Toronto and it was in Toronto that she attended school.

Cathleen won a scholarship and entered the University of Toronto to study mathematics. Her parents both encouraged her interest in mathematics and science but her father jokingly said that if she became a mathematician:

... we might fight like the Bernoulli brothers.

Of course the years that Cathleen spent as an undergraduate at Toronto was the time of World War II and she undertook war work in 1943-44 as a technical assistant. Returning to the University of Toronto she was awarded her B.A. degree in Mathematics in 1945. Cecilia Krieger , who taught Cathleen mathematics while she was an undergraduate, had been a family friend for many years. She strongly encouraged Cathleen continue her study of mathematics.

Cathleen married Herbert Morawetz, who was a chemist, on 28 October 1945. She then went to Massachusetts Institute of Technology to study for her Master's Degree which was awarded in 1946. At this stage she hesitated and considered whether she should pursue her mathematical studies further. There were few job opportunities for women with doctorates in matematics and she considered taking a job in Bell Laboratories in New Jersey. However, strongly encouraged by Cecilia Krieger to study for her doctorate, Morawetz went to New York University to undertake research.

She was asked to edit Courant and Friedrichs Supersonic Flow and Shock Waves and, by the time this task was completed, she was fascinated by transonic flow and associated phenomena. She wrote her doctotal thesis, which was supervised by Friedrichs , on the stability of a spherical implosion and was awarded her Ph.D. in 1951. During this period Morawetz applied for US citizenship and she was granted this in 1950. She was a research associate at the Massachusetts Institute of Technology for a short spell but returned to the Courant Institute of Mathematical Sciences of New York University in 1952 as a research associate. Steady promotion there saw her become an assistant professor in 1957, an associate professor in 1960, and the a full professor in 1965. In 1966-67 she held a prestigious Guggenheim Fellowship.

In 1978 Morawetz became the associate director of the Courant Institute of Mathematical Sciences a position which she held until 1984 when she was appointed Director of the Courant Institute. With this appointment she became the first woman to hold this position, moreover she was the first woman to hold any comparable directorship within the mathematical sciences in the United States.

She was elected as President of the American Mathematical Society , serving in this role in 1995-96. On the announcement that she would become President the Courant Institute issued a press release saying:

Morawetz is an outstanding mathematician, and has lond been one of the leading lights at our prestigious Courant Institute. [We] know that the American Mathematical Society will benefit greatly by her considerable acumen and compelling leadership.

The article , nominating her for that position, describes her remarkable research achievements:

In a series of three significant papers in the late 1950s, Cathleen Morawetz used functional analysis coupled with ingenious new estimates for an equation of mixed type, i.e. with both elliptic and hyperbolic regions, to prove a striking new theorem for boundary value problems for partial differential equations . This theorem was motivated by applications and leads to a startling practical prediction. Namely, if oe starts with a smooth, steady irrotational flow around an aerodynamic profile like a wing, then in general, if one changes the shape of the profile slightly, there cannot be a smooth, steady transonic flow around the purturbed profile. Morawetz's predictions have been confirmed subsequently through both actual experiments and careful numerical simulation which indicate the appearance of shock waves in the flow past the purturbed profile.

In the 1960s Morawetz worked on the scattering of sound waves and electromagnetic waves striking objects. Morawetz showed that, for a medium with constant light speed outside a reflecting star-shaped object, high frequency waves are, asymptotically, streams of particles moving along the rays. During the 1970s she extended this work to examine other solutions to the wave equation. She proved many important results relating to the non-linear wave equation. In her later work she continued to study shock waves and transonic flow.

In 1998 Morawetz was awarded the National Medal of Science. Established by the United States Congress in 1959 and first awarded to Theodore von Kármán in 1962, it is the highest scientific honour which the United States can give. The citation for the award says that it was given to Morawetz:

... for pioneering advances in partial differential equations and wave propagation resulting in applications to aerodynamics, acoustics and optics.

In her speech accepting the National Medal of Science, Morawetz said:

This is an occasion of great moment for me. I am filled with gratitude to all those, and there were a great many, who helped me over many years, and I am proud to be the first woman mathematician to receive the medal. My biggest wish would be that it could help move more women forward in mathematics, be it in grade school or graduate school.

The list of honours which Morawetz has received certainly does not stop at those already mentioned above. She has been awarded honorary degrees by Eastern Michigan University, Smith College, and Brown University in 1982; Princeton University in 1986; and Duke University, and New Jersey Institute of Technology in 1988. In 1993 she was named Outstanding Woman Scientist by the Association for Women in Science. In 1997 she received the Krieger - Nelson Award from the Canadian Mathematical Society . She has been elected a Fellow of the American Association for the Advancement of Science and a member of the American Academy of Arts and Sciences . In addition she was the first woman member of the Applied Mathematics Section of the National Academy of Sciences .

The list of her remarkable achievements gives her own joke a deeper meaning:

Maybe I became a mathematician because I was so crummy at housework.

Source:School of Mathematics and Statistics University of St Andrews, Scotland