Robert W. Brooks
Robert Wolfe Brooks (Washington, D.C., September 16, 1952 – Montreal, September 5, 2002) was a mathematician known for his work in spectral geometry, Riemann surfaces, circle packings, and differential geometry.
He received his Ph.D. from Harvard University in 1977; his thesis, The smooth cohomology of groups of diffeomorphisms, was written under the supervision of Raoul Bott. He worked at the University of Maryland (1979–1984), then at the University of Southern California, and then, from 1995, at the Technion in Haifa.
In an influential paper Brooks (1981) harvtxt error: multiple targets (3×): CITEREFBrooks1981 (help), Brooks proved that the bounded cohomology of a topological space is isomorphic to the bounded cohomology of its fundamental group.
- Brooks, Robert (1981). "Some remarks on bounded cohomology". Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978). Ann. of Math. Stud. 97. Princeton, N.J.: Princeton Univ. Press. pp. 53–63. MR 0624804.CS1 maint: ref=harv (link)
- Brooks, Robert (1981). "A relation between growth and the spectrum of the Laplacian". Mathematische Zeitschrift. 178 (4): 501–508. doi:10.1007/BF01174771. MR 0638814.
- Brooks, Robert (1981). "The fundamental group and the spectrum of the Laplacian". Commentarii Mathematici Helvetici. 56 (4): 581–598. doi:10.1007/BF02566228. MR 0656213.
- Brooks, Robert (1988). Constructing isospectral manifolds. American Mathematical Monthly. 95. pp. 823–839. MR 0967343.CS1 maint: ref=harv (link)
- Brooks, Robert, "Form in Topology", The Magicians of Form, ed. by Robert M. Weiss. Laurelhurst Publications, 2003.
- Buser, Peter (2005). "On the mathematical work of Robert Brooks". Geometry, spectral theory, groups, and dynamics. Contemp. Math. 387. Providence, RI: Amer. Math. Soc. pp. 1–35. MR 2179784.
- Ivanov, Nikolai V. "Foundations of the theory of bounded cohomology". Journal of Mathematical Sciences. 37 (3): 1090–1115. doi:10.1007/BF01086634. MR 0806562.