Robert W. Brooks

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Robert W. Brooks (1986)
Robert W. Brooks (1986)

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 worked at the University of Maryland (1979–1984), then at the University of Southern California, and then, from 1995, at the Technion in Haifa.[1]

Work[edit]

In an influential paper Brooks (1981), Brooks proved that the bounded cohomology of a topological space is isomorphic to the bounded cohomology of its fundamental group.[2]

Honors[edit]

Selected publications[edit]

  • 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. 
  • Brooks, Robert (1988). Constructing isospectral manifolds. Amer. Math. Monthly. 95. pp. 823–839. MR 967343. 
Reviewer Maung Min-Oo for MathSciNet wrote: "This is a well written survey article on the construction of isospectral manifolds which are not isometric with emphasis on hyperbolic Riemann surfaces of constant negative curvature."[3]
  • Brooks, Robert, "Form in Topology", The Magicians of Form, ed. by Robert M. Weiss. Laurelhurst Publications, 2003.

References[edit]

  1. ^ Buser, Peter (2005). "Geometry, spectral theory, groups, and dynamics". Contemp. Math. 387. Providence, RI: Amer. Math. Soc.: 1–35. MR 2179784.  |chapter= ignored (help)
  2. ^ Ivanov, N.V. "Foundations of the theory of bounded cohomology". Journal of Mathematical Sciences. 37 (3): 1090–1115. doi:10.1007/BF01086634. 
  3. ^ MR967343

External links[edit]