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Ralph Greenberg

Ralph Greenberg (born 1944) is an American mathematician who has made contributions to number theory, in particular Iwasawa theory.

He was born in Chester, Pennsylvania[1] and studied at the University of Pennsylvania, earning a B.A. in 1966,[1] after which he attended Princeton University, earning his doctorate in 1971 under the supervision of Kenkichi Iwasawa.[2]

Greenberg's results include a proof (joint with Glenn Stevens) of the Mazur–Tate–Teitelbaum conjecture as well as a formula for the derivative of a p-adic Dirichlet L-function at (joint with Bruce Ferrero). Greenberg is also well known for his many conjectures. In his PhD thesis, he conjectured that the Iwasawa μ- and λ-invariants of the cyclotomic -extension of a totally real field are zero, a conjecture that remains open as of September 2012. In the 1980s, he introduced the notion of a Selmer group for a p-adic Galois representation and generalized the "main conjectures" of Iwasawa and Barry Mazur to this setting. He has since generalized this setup to present Iwasawa theory as the theory of p-adic deformations of motives. He also provided an arithmetic theory of L-invariants generalizing his aforementioned work with Stevens.

Greenberg was an invited speaker in International Congress of Mathematicians 2010, Hyderabad on the topic of "Number Theory."[3]

In 2012, he became a fellow of the American Mathematical Society.[4]

In the late 1990s and early 2000s, Greenberg publicly disputed NASA conspiracy theorist and pseudoscientist Richard C. Hoagland's mathematical interpretations of the so-called "D&M Pyramid" and surrounding features found on the Cydonia Planitia region of Mars as being conclusive signs of extraterrestrial intelligence and challenged him to a public debate. Hoagland has yet to respond.[5]

References

  1. ^ a b "The Institute for Advanced Studies, Annual Report 1981/82" (PDF). Institute for Advanced Study. Retrieved January 9, 2020.
  2. ^ "Curriculum Vita".
  3. ^ "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
  4. ^ "List of Fellows of the American Mathematical Society". Retrieved 2013-01-19.
  5. ^ "Letter to Richard Hoagland".

External links