The 1975 Bowdoin Prize for Essays in the Natural Sciences was awarded to Robert W. Brooks for his Harvard University master's thesis, "Russell, Poincaré, and the foundations of geometry." His professional trajectory as an American-Israeli mathematician spanned multiple continents, focusing primarily on spectral geometry, Riemann surfaces, and differential geometry, eventually leading him to the Technion – Israel Institute of Technology.
Academic Formation
Born in 1952 in Washington, D.C., Brooks attended Walt Whitman High School, graduating in 1970. He continued his studies at Harvard University, completing his master's degree in 1974. In 1977, he earned his Ph.D. under the guidance of Raoul Bott, with a thesis titled "The smooth cohomology of groups of diffeomorphisms." Following his doctoral work, he held a postdoctoral position at the State University of New York at Stony Brook with J. Peter Matelski, contributing to early fractal visualisations that influenced the development of the Mandelbrot set in 1980.
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Brooks established himself as a contributor to spectral geometry and topology. In 1981, he demonstrated that the bounded cohomology of a topological space is isomorphic to the bounded cohomology of its fundamental group. His research output includes publications such as "A relation between growth and the spectrum of the Laplacian" and "Constructing isospectral manifolds." His 1988 survey on isospectral manifolds specifically addressed hyperbolic Riemann surfaces exhibiting constant negative curvature.
Professional Tenure and Later Life
His academic career included a five-year tenure at the University of Maryland beginning in 1979. He later joined the faculty at the University of Southern California before moving to the Technion in Haifa in 1995. Brooks, who held citizenship in both the United States and Israel, died in 2002 while visiting Montreal, Canada. He was buried at the Sde Yehoshua cemetery in Haifa.
Fast facts
- Born: 1952, Washington, D.C.
- Died: 2002, Montreal
- Education: Harvard University
- Academic roles: University of Maryland, University of Southern California, Technion
- Notable honor: Bowdoin Prize, 1975
- Citizenship: United States, Israel
- Burial site: Sde Yehoshua (Kfar Samir) cemetery
Questions readers ask
What was the focus of his doctoral research?
He studied the smooth cohomology of groups of diffeomorphisms at Harvard under Raoul Bott.
Where did he work during the latter part of his career?
He was a faculty member at the Technion – Israel Institute of Technology starting in 1995.
Achievements
- Held posts at University of Southern California and Technion – Israel Institute of Technology
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