Edgar H. Brown

Edgar Henry Brown, Jr. (born 27 December 1926)[1] is an American mathematician specializing in algebraic topology, and for many years a professor at Brandeis University.

Edgar H. Brown, Jr.
Born(1926-12-27)27 December 1926
NationalityAmerican
Alma materMassachusetts Institute of Technology
Known forBrown's representability theorem
Brown–Peterson cohomology
Brown–Gitler spectrum
AwardsGuggenheim Fellowship
Scientific career
FieldsMathematics
InstitutionsBrandeis University
ThesisFinite Computability of the Homotopy Groups of Finite Groups (1954)
Doctoral advisorGeorge W. Whitehead
Doctoral studentsRalph Cohen
Douglas Ravenel
Terence Gaffney
Websitepeople.brandeis.edu/~brown/

Life

Brown was born in Oak Park, Illinois. He completed his bachelor's degree in mathematics at the University of Wisconsin in 1949. He completed his master's degree in mathematics at Washington State University in 1951.

Career

He completed his Ph.D. in mathematics at the Massachusetts Institute of Technology in 1954. His doctoral supervisor was George W. Whitehead, and his doctoral dissertation was on Finite Computability of the Homotopy Groups of Finite Groups.[2]

In 1962–63 he visited the Institute for Advanced Study in Princeton, New Jersey,[3] and in 1964 he received the Guggenheim Fellowship.[4] He was elected a Fellow of the American Academy of Arts and Sciences in 1974[5] and a Fellow of the American Mathematical Society in 2012.

Contributions to mathematics

He has made numerous contributions to mathematics including:

His publications include:

  • Brown, Edgar H., Jr. (1959). "Twisted tensor products. I.". Annals of Mathematics. 69 (1): 223–246. doi:10.2307/1970101. MR 0105687.
  • Brown, Edgar H., Jr. (1962). "Cohomology theories". Annals of Mathematics. 75 (3): 467–484. doi:10.2307/1970209. MR 0138104.
  • Brown, Edgar H., Jr.; Peterson, Franklin P. (1966). "A spectrum whose cohomology is the algebra of reduced powers". Topology. 5 (2): 149–154. doi:10.1016/0040-9383(66)90015-2. MR 0192494.
  • Brown, Edgar H., Jr.; Gitler, Samuel (1973). "A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra". Topology. 12: 283–295. doi:10.1016/0040-9383(73)90014-1. MR 0391071.
  • Brown, Edgar H. (1965). "Abstract homotopy theory". Transactions of the American Mathematical Society. 119 (1): 79–85. doi:10.2307/1994231.

References

  1. "Edgar H. Brown. Jr". Brandeis University. Retrieved January 21, 2021.
  2. Edgar H. Brown at the Mathematics Genealogy Project
  3. "Past member: Edgar H. Brown". Institute for Advanced Study. Retrieved January 21, 2021.
  4. "Edgar H, Brown, Guggenheim Fellow".
  5. "List of Members by Classes September 1, 1997". Records of the Academy (American Academy of Arts and Sciences) (1996/1997): 56–128. 1996. JSTOR 3786119.
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