Irving Segal
Encyclopedia
Irving Ezra Segal was a mathematician
known for work on theoretical quantum mechanics
.
He was at the Massachusetts Institute of Technology
. He shares credit for what is often referred to as the Segal–Shale–Weil distribution.
Early in his career Segal became known for his developments in quantum field theory
and in functional and harmonic analysis
, in particular his innovation of the algebraic axioms known as C*-algebra.
. In 1934 was admitted to Princeton University
at the age of 16. He was elected to Phi Beta Kappa, completed his undergraduate studies in just three years time, graduated with highest honors with a Bachelors in 1937, and was awarded the George B. Covington Prize in Mathematics. He was then admitted to Yale
, and in another three years time had completed his doctorate, receiving his PhD in 1940. Segal taught at Harvard University
, then he joined the Institute for Advanced Study
in Princeton
on a Guggenheim Memorial Fellowship, working from 1941–43 with Albert Einstein
and Von Neumann. During World War II
Segal served in the U.S. Army conducting research in ballistics at the Aberdeen Proving Ground
in Maryland. He joined the mathematics department at the University of Chicago
in 1948 where he served until 1960. In 1960 he joined the mathematics department at M.I.T. where he remained as a professor until his death in 1998. He won three Guggenheim Fellowships, in 1947, 1951 and 1967, and received the Humboldt Award in 1981. He was elected to the National Academy of Sciences
in 1973. He died in Lexington, Massachusetts
in 1998.
Edward Nelson's Segal obituary article concludes: "...It is rare for a mathematician to produce a life work that at the time can be fully and confidently evaluated by no one, but the full impact of the work of Irving Ezra Segal will become known only to future generations."
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
known for work on theoretical quantum mechanics
Quantum mechanics
Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
.
He was at the Massachusetts Institute of Technology
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
. He shares credit for what is often referred to as the Segal–Shale–Weil distribution.
Early in his career Segal became known for his developments in quantum field theory
Quantum field theory
Quantum field theory provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized by an infinite number of dynamical degrees of freedom, that is, fields and many-body systems. It is the natural and quantitative language of particle physics and...
and in functional and harmonic analysis
Harmonic analysis
Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. It investigates and generalizes the notions of Fourier series and Fourier transforms...
, in particular his innovation of the algebraic axioms known as C*-algebra.
Biography
Irving Ezra Segal was born in the Bronx in 1918. He attended school in TrentonTrenton, New Jersey
Trenton is the capital of the U.S. state of New Jersey and the county seat of Mercer County. As of the 2010 United States Census, Trenton had a population of 84,913...
. In 1934 was admitted to Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
at the age of 16. He was elected to Phi Beta Kappa, completed his undergraduate studies in just three years time, graduated with highest honors with a Bachelors in 1937, and was awarded the George B. Covington Prize in Mathematics. He was then admitted to Yale
YALE
RapidMiner, formerly YALE , is an environment for machine learning, data mining, text mining, predictive analytics, and business analytics. It is used for research, education, training, rapid prototyping, application development, and industrial applications...
, and in another three years time had completed his doctorate, receiving his PhD in 1940. Segal taught at Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
, then he joined the Institute for Advanced Study
Institute for Advanced Study
The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...
in Princeton
Princeton, New Jersey
Princeton is a community located in Mercer County, New Jersey, United States. It is best known as the location of Princeton University, which has been sited in the community since 1756...
on a Guggenheim Memorial Fellowship, working from 1941–43 with Albert Einstein
Albert Einstein
Albert Einstein was a German-born theoretical physicist who developed the theory of general relativity, effecting a revolution in physics. For this achievement, Einstein is often regarded as the father of modern physics and one of the most prolific intellects in human history...
and Von Neumann. During World War II
World War II
World War II, or the Second World War , was a global conflict lasting from 1939 to 1945, involving most of the world's nations—including all of the great powers—eventually forming two opposing military alliances: the Allies and the Axis...
Segal served in the U.S. Army conducting research in ballistics at the Aberdeen Proving Ground
Aberdeen Proving Ground
Aberdeen Proving Ground is a United States Army facility located near Aberdeen, Maryland, . Part of the facility is a census-designated place , which had a population of 3,116 at the 2000 census.- History :...
in Maryland. He joined the mathematics department at the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
in 1948 where he served until 1960. In 1960 he joined the mathematics department at M.I.T. where he remained as a professor until his death in 1998. He won three Guggenheim Fellowships, in 1947, 1951 and 1967, and received the Humboldt Award in 1981. He was elected to the National Academy of Sciences
United States National Academy of Sciences
The National Academy of Sciences is a corporation in the United States whose members serve pro bono as "advisers to the nation on science, engineering, and medicine." As a national academy, new members of the organization are elected annually by current members, based on their distinguished and...
in 1973. He died in Lexington, Massachusetts
Lexington, Massachusetts
Lexington is a town in Middlesex County, Massachusetts, United States. The population was 31,399 at the 2010 census. This town is famous for being the site of the first shot of the American Revolution, in the Battle of Lexington on April 19, 1775.- History :...
in 1998.
Edward Nelson's Segal obituary article concludes: "...It is rare for a mathematician to produce a life work that at the time can be fully and confidently evaluated by no one, but the full impact of the work of Irving Ezra Segal will become known only to future generations."