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Elliott Waters Montroll (May 4, 1916 in
Pittsburgh, Pennsylvania Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Wester ...
, United States – December 3, 1983 in
Chevy Chase, Maryland Chevy Chase () is the name of both a town and an unincorporated census-designated place (Chevy Chase (CDP), Maryland) that straddle the northwest border of Washington, D.C. and Montgomery County, Maryland, United States. Several settlements in th ...
, United States) was an American
scientist A scientist is a person who conducts Scientific method, scientific research to advance knowledge in an Branches of science, area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, ...
and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
.


Education

Elliott Montroll was born on May 4, 1916 in
Pittsburgh Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Wester ...
,
Pennsylvania Pennsylvania (; ( Pennsylvania Dutch: )), officially the Commonwealth of Pennsylvania, is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States. It borders Delaware to its southeast, ...
, and received his elementary and high school education at the Dormont Public Schools. In 1933 he entered the
University of Pittsburgh The University of Pittsburgh (Pitt) is a public state-related research university in Pittsburgh, Pennsylvania. The university is composed of 17 undergraduate and graduate schools and colleges at its urban Pittsburgh campus, home to the universit ...
and in 1937 he received a BS degree in
Chemistry Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions ...
. From 1937 until 1939 he was a graduate assistant in the Mathematics Department of the University of Pittsburgh, and during the first semester of the school year 1939–1940 he carried out research in the Chemistry Department of
Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...
. He was awarded a Ph.D in mathematics at the University of Pittsburgh in 1939, with a thesis ''Some Notes and Applications of the Characteristic Value Theory of Integral Equations'' in which he applied integral equations to the study of imperfect gases. A paper published jointly with Joseph E. Mayer in 1941 Statistical mechanics of imperfect gases also examined ideas developing out of his thesis.


Career

Montroll had an exceptionally varied career: was a Sterling Research Fellow at
Yale University Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the wo ...
where his work on the
Ising model The Ising model () (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent ...
of a
ferromagnet Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials a ...
led him to solve certain
Markov chain A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happe ...
problems. Following this he was a research associate at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
in 1941–42 where he began his studies of the problem of finding the frequency spectrum of elastic vibrations in crystal lattices. During 1942–43 Montroll was an instructor in
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
at
Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
. In 1943, Montroll was appointed as Head of the Mathematics Research Group at the
Kellex Corporation The Kellex Corporation was a wholly owned subsidiary of M. W. Kellogg Company. Kellex was formed in 1942 so that Kellogg's operations relating to the Manhattan Project could be kept separate and secret. "Kell" stood for "Kellogg" and "X" for se ...
in New York, working on programs associated with the Manhattan Project. In 1944 he went to the
Polytechnic Institute of Brooklyn The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United Sta ...
, as adjunct professor of chemistry, then in 1946 he returned to the University of Pittsburgh as assistant, and then associate, professor of physics and mathematics. During this time he also served as head of the Physics Branch of the
Office of Naval Research The Office of Naval Research (ONR) is an organization within the United States Department of the Navy responsible for the science and technology programs of the U.S. Navy and Marine Corps. Established by Congress in 1946, its mission is to plan ...
from 1948 to 1950. In 1950 he was appointed as a research fellow at the
Courant Institute The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...
in New York. In 1951 he was appointed Research Professor in the Institute for Fluid Dynamics and Applied Mathematics at the
University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of M ...
. However, in 1960, he took the post of Director of General Sciences at the
IBM Thomas J. Watson Research Center The Thomas J. Watson Research Center is the headquarters for IBM Research. The center comprises three sites, with its main laboratory in Yorktown Heights, New York, U.S., 38 miles (61 km) north of New York City, Albany, New York and wit ...
in Yorktown Heights, New York. In 1963 he held the position of Vice President for Research at the
Institute for Defense Analysis The Institute for Defense Analyses (IDA) is an American non-profit corporation that administers three federally funded research and development centers (FFRDCs) – the Systems and Analyses Center (SAC), the Science and Technology Policy Institute ...
in Washington, D.C. In 1966, he returned to the academic world as Albert Einstein Professor of Physics,'' and the Director of the Institute for Fundamental Studies, at the
University of Rochester The University of Rochester (U of R, UR, or U of Rochester) is a private research university in Rochester, New York. The university grants undergraduate and graduate degrees, including doctoral and professional degrees. The University of Roc ...
. Montroll stayed at the University of Rochester until 1981. After retirement, he accepted two further positions, one back at the University of Maryland and the other at the
University of California, Irvine The University of California, Irvine (UCI or UC Irvine) is a public land-grant research university in Irvine, California. One of the ten campuses of the University of California system, UCI offers 87 undergraduate degrees and 129 graduate and pr ...


Honors

He was elected to the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...
(United States) in 1969, and to the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...
in 1973. His work on traffic flow led to him winning (jointly) the
Lanchester Prize The Frederick W. Lanchester Prize is an Institute for Operations Research and the Management Sciences prize (U.S. $5,000 cash prize and medallion) given for the best contribution to operations research and the management sciences published in Engli ...
of the Operations Research Society of America in 1959.


Personal life

He was married to Shirley Abrams on May 7, 1943. He was the father of ten including
John Montroll John Montroll is an American origami artist, author, teacher, and mathematician. He has written many books on origami. Montroll taught mathematics at St. Anselm's Abbey School in Washington, D.C. from 1990 to 2021. Biography John Montroll was ...
. Has one sister Madelyn Montroll. Now Madelyn Todd.


References

*C. W. Carey Jr, Elliott Waters Montroll, American National Biography 15 (Oxford, 1999), 717–718. *Elliott W. Montroll: List of publications, in ''The Wonderful World of Stochastics'' (North-Holland, Amsterdam, 1985), 17–27. *D. C. Gazis and R. Herman, "In memory of Elliott W. Montroll," ''Transportation Sci.'' 18(2) (1984), 99–100. * M. F. Shlesinger and G. H. Weiss, Elliott Waters Montroll (May 4, 1916 – December 3, 1983), in The Wonderful World of Stochastics (North-Holland, Amsterdam, 1985), 1–16. * M. F. Shlesinger and B. J. West, Elliott W. Montroll (1916–1983): in memoriam, in ''Random Walks and Their Applications in the Physical and Biological Sciences,'' Washington, D.C., 1982 (Amer. Inst. Phys., New York, 1 984), vi–viii. *G. H. Weiss, Elliott Waters Montroll, National Academy of Sciences Biographical Memoirs 63 (1994), 365–380.


External links


Biography of Elliott Montroll
*
Montroll's math genealogy
*
Biography of Elliott Montroll
from the Institute for Operations Research and the Management Sciences {{DEFAULTSORT:Montroll, Elliot 20th-century American mathematicians 1916 births 1983 deaths Members of the United States National Academy of Sciences Probability theorists Polytechnic Institute of New York University faculty University of Maryland, College Park faculty