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Robert W. Brooks

From Wikipedia, the free encyclopedia
American mathematician
Robert Wolfe Brooks
Born(1952-09-16)September 16, 1952
Washington, D.C., United States
DiedSeptember 5, 2002(2002-09-05) (aged 49)
Montreal, Canada
Alma materHarvard University
Known forSpectral geometry, Riemann surfaces, circle packings, differential geometry
AwardsAlfred P. Sloan Fellowship, Guastella Fellowship
Scientific career
FieldsMathematics
InstitutionsUniversity of Maryland,University of Southern California,Technion – Israel Institute of Technology
Doctoral advisorRaoul Bott
Robert W. Brooks (1985)
Robert W. Brooks (1985)

Robert Wolfe Brooks (Washington, D.C., September 16, 1952 – Montreal, September 5, 2002) was amathematician known for his work inspectral geometry,Riemann surfaces,circle packings, anddifferential geometry.

He received hisPh.D. fromHarvard University in 1977; his thesis,The smooth cohomology of groups of diffeomorphisms, was written under the supervision ofRaoul Bott. He worked at theUniversity of Maryland (1979–1984), then at theUniversity of Southern California, and then, from 1995, at theTechnion inHaifa.[1]

Work

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In an influential paper (Brooks 1981), Brooks proved that thebounded cohomology of atopological space isisomorphic to the bounded cohomology of itsfundamental group.[2]

Honors

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Selected publications

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Reviewer Maung Min-Oo forMathSciNet 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

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  1. ^Buser, Peter (2005). "On the mathematical work of Robert Brooks".Geometry, spectral theory, groups, and dynamics. Contemp. Math. Vol. 387. Providence, RI: Amer. Math. Soc. pp. 1–35.ISBN 9780821885642.MR 2179784.
  2. ^Ivanov, Nikolai V. (1987). "Foundations of the theory of bounded cohomology".Journal of Mathematical Sciences.37 (3):1090–1115.doi:10.1007/BF01086634.MR 0806562.S2CID 122503635.
  3. ^MR967343

External links

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