Nathan Mendelsohn
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Nathan Saul Mendelsohn, (April 14, 1917 – July 4, 2006) was an
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
-born
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 ...
who lived and worked in
Canada Canada is a country in North America. Its ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by tot ...
. Mendelsohn was a researcher in several areas of
discrete mathematics Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous f ...
, including
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...
and
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
.


Early life and education

Mendelsohn was born in 1917 in
Brooklyn Brooklyn () is a borough of New York City, coextensive with Kings County, in the U.S. state of New York. Kings County is the most populous county in the State of New York, and the second-most densely populated county in the United States, be ...
,
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the eldest of four children of Samuel Mendelsohn (1880–1959) and Sylvia, née Kirschenbaum (1895–1984). His paternal grandparents, Hyman Mendelsohn (1853-1928) and Hinda, née Silverstone (1859–1942) had originally immigrated to
Montreal Montreal ( ; officially Montréal, ) is the List of the largest municipalities in Canada by population, second-most populous city in Canada and List of towns in Quebec, most populous city in the Provinces and territories of Canada, Canadian ...
from
Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S ...
in 1898. In 1918, he and his family moved to
Toronto Toronto ( ; or ) is the capital city of the Canadian province of Ontario. With a recorded population of 2,794,356 in 2021, it is the most populous city in Canada and the fourth most populous city in North America. The city is the ancho ...
,
Ontario Ontario ( ; ) is one of the thirteen provinces and territories of Canada.Ontario is located in the geographic eastern half of Canada, but it has historically and politically been considered to be part of Central Canada. Located in Central Ca ...
, Canada, after a fire destroyed the tenement they were living in. Mendelsohn and his family lived in a house at 13 Euclid Avenue.E. Mendelsohn, "Nathan Mendelsohn: A personal Tribute
CMS Notes May 2003 vol 38 no 5
p. 37-38.
Mendelsohn completed all his education at the
University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...
. He would have been unable to attend university had he not won a four years' tuition and books scholarship. In 1938, he was on the University of Toronto team for the first
Putnam Competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...
, along with
Irving Kaplansky Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St Andr ...
and John Coleman.
American Mathematical Society
The team placed firstThe Mathematical Association of America's William Lowell Putnam Competition
/ref> and each of the three team members won fifty dollars.News and Notices, The American Mathematical Monthly, Vol. 45, No. 5. (May, 1938), pp. 330-332. Mendelsohn was a junior, the other two were seniors. The subsequent year Mendelsohn was barred from competition as at that time the winning university set the examination for the next year and its students were barred from competition. Mendelsohn completed his
Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
dissertation in 1941. It was titled "A Group-Theoretic Characterization of the General Projective Collineation Group", and summarized in the
Proceedings of the National Academy of Sciences ''Proceedings of the National Academy of Sciences of the United States of America'' (often abbreviated ''PNAS'' or ''PNAS USA'') is a peer-reviewed multidisciplinary scientific journal. It is the official journal of the National Academy of Sci ...
in 1944.N. Mendelsohn
A Group-Theoretic Characterization of the General Projective Collineation Group
Proc Natl Acad Sci U S A. 1944 September 15; 30(9): 279–283.
His supervisor was
Gilbert de Beauregard Robinson Gilbert de Beauregard Robinson, MBE (3 June 1906 – 8 April 1992) was a Canadian mathematician most famous for his work on combinatorics and representation theory of the symmetric groups, including the Robinson-Schensted algorithm. Biography ...
. Mendelsohn also began practising magic tricks in high school as a means of steadying a tremor in his hands. He placed second in the 1953
International Brotherhood of Magicians International Brotherhood of Magicians (I.B.M.) is an organization for both professional and amateur close-up and stage magicians, with approximately 15,000 members worldwide. The headquarters is in St. Charles, Missouri. There are over 300 lo ...
contest, behind
Johnny Carson John William Carson (October 23, 1925 – January 23, 2005) was an American television host, comedian, writer and producer. He is best known as the host of ''The Tonight Show Starring Johnny Carson'' (1962–1992). Carson received six Pr ...
. He could memorize a shuffled deck of cards seeing each card only once briefly, or a list of fifty objects called out in any order. He could identify the position of each card or name the card in any position.


Career

During the
Second World War World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
, Mendelsohn worked on simulations of artillery and code breaking. As with much of the mathematical work for military purposes during the time, it was classified. Although others related after fifty years what their exact role was, Nathan Mendelsohn strictly followed the
Official Secrets Act An Official Secrets Act (OSA) is legislation that provides for the protection of state secrets and official information, mainly related to national security but in unrevised form (based on the UK Official Secrets Act 1911) can include all infor ...
and never revealed exact details of what he had done. We now know that When Norway fell to the Nazi’s,he worked on a team recomputing ballistics tables for Canadian wood as
TNT Trinitrotoluene (), more commonly known as TNT, more specifically 2,4,6-trinitrotoluene, and by its preferred IUPAC name 2-methyl-1,3,5-trinitrobenzene, is a chemical compound with the formula C6H2(NO2)3CH3. TNT is occasionally used as a reagen ...
is made from wood. Then he went on to break code at Canada’s
Camp X Camp X was the unofficial name of the secret Special Training School No. 103, a Second World War British paramilitary installation for training covert agents in the methods required for success in clandestine operations. It was located on the ...
, which was Canada’s equivalent of
Bletchley Park Bletchley Park is an English country house and estate in Bletchley, Milton Keynes ( Buckinghamshire) that became the principal centre of Allied code-breaking during the Second World War. The mansion was constructed during the years following ...
From 1945 to 1947, Mendelsohn was a professor at Queen's University in
Kingston, Ontario Kingston is a city in Ontario, Canada. It is located on the north-eastern end of Lake Ontario, at the beginning of the St. Lawrence River and at the mouth of the Cataraqui River (south end of the Rideau Canal). The city is midway between Toro ...
,
Canada Canada is a country in North America. Its ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by tot ...
.James Mingo, "Report from the Vice-President
CMS Notes May 2003 vol 35 no 4
p. 9-10.
Mendelsohn's son later remarked that Mendelsohn "understood that, as a Jew, he would never get a permanent position" at Queen's, as the university "already had a Jewish professor in the department." In 1947, Mendelsohn moved to the
University of Manitoba The University of Manitoba (U of M, UManitoba, or UM) is a Canadian public research university in the province of Manitoba.Winnipeg Winnipeg () is the capital and largest city of the province of Manitoba in Canada. It is centred on the confluence of the Red and Assiniboine rivers, near the longitudinal centre of North America. , Winnipeg had a city population of 749,6 ...
,
Manitoba Manitoba ( ) is a Provinces and territories of Canada, province of Canada at the Centre of Canada, longitudinal centre of the country. It is Canada's Population of Canada by province and territory, fifth-most populous province, with a population o ...
. Mendelsohn stayed at the University of Manitoba until his retirement in 2005.R. Padmanabhan, Nathan Saul Mendelsoh
Faculty of Science Alumni Newsletter
University of Manitoba, April 2006.
During early summers at the University of Manitoba, Mendelsohn would travel to
Quebec City Quebec City ( or ; french: Ville de Québec), officially Québec (), is the capital city of the Provinces and territories of Canada, Canadian province of Quebec. As of July 2021, the city had a population of 549,459, and the Communauté métrop ...
to teach to supplement his $3,000 annual salary at the University of Manitoba. In 1958, Mendelsohn and Dulmage published the paper "Coverings of biparte graphs", in which the
Dulmage–Mendelsohn decomposition In graph theory, the Dulmage–Mendelsohn decomposition is a partition of the vertices of a bipartite graph into subsets, with the property that two adjacent vertices belong to the same subset if and only if they are paired with each other in a pe ...
is described. Mendelsohn is also remembered for Mendelsohn triple systems. Mendelsohn was head of the department of mathematics at the University of Manitoba for almost a quarter of a century. In the early 1960s, Mendelsohn returned to classified mathematics, this time at the
RAND The RAND Corporation (from the phrase "research and development") is an American nonprofit global policy think tank created in 1948 by Douglas Aircraft Company to offer research and analysis to the United States Armed Forces. It is financed ...
Corporation. From 1969 to 1971, Mendelsohn was the president of the
Canadian Mathematical Society The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the ...
. In 1985, Mendelsohn was the subject of a short film form the
National Film Board of Canada The National Film Board of Canada (NFB; french: Office national du film du Canada (ONF)) is Canada's public film and digital media producer and distributor. An agency of the Government of Canada, the NFB produces and distributes documentary f ...
, titled "An Aesthetic Indulgence".


Retirement

Mendelsohn retired from the University of Manitoba in 2005. He died on July 4, 2006 from
hepatitis C Hepatitis C is an infectious disease caused by the hepatitis C virus (HCV) that primarily affects the liver; it is a type of viral hepatitis. During the initial infection people often have mild or no symptoms. Occasionally a fever, dark urine, a ...
obtained through tainted blood.


Awards

In 1957, Mendelsohn was made a fellow of the
Royal Society of Canada The Royal Society of Canada (RSC; french: Société royale du Canada, SRC), also known as the Academies of Arts, Humanities and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bil ...
. He won the
Henry Marshall Tory Medal The Henry Marshall Tory Medal is an award of the Royal Society of Canada "for outstanding research in a branch of astronomy, chemistry, mathematics, physics, or an allied science". It is named in honour of Henry Marshall Tory and is awarded bi-annu ...
in 1979. On April 15, 1999, Mendelsohn was made a member of the
Order of Canada The Order of Canada (french: Ordre du Canada; abbreviated as OC) is a Canadian state order and the second-highest honour for merit in the system of orders, decorations, and medals of Canada, after the Order of Merit. To coincide with the ...
. His citation reads, in part, that Mendelsohn is "known throughout the world as an authority in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
,
classical geometry Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the '' Elements''. Euclid's approach consists in assuming a small set of intuitively appealing axioms ...
and
finite groups Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked ...
".


Nathan Mendelsohn Prize

In 2008 the Nathan Mendelsohn Prize was established by his family at the
University of Manitoba The University of Manitoba (U of M, UManitoba, or UM) is a Canadian public research university in the province of Manitoba.Putnam Competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...
.


References


External links


An Aesthetic Indulgence
A short film about Mendelsohn.
An Aesthetic Indulgence
National Film Board of Canada The National Film Board of Canada (NFB; french: Office national du film du Canada (ONF)) is Canada's public film and digital media producer and distributor. An agency of the Government of Canada, the NFB produces and distributes documentary f ...
webpage. * * {{DEFAULTSORT:Mendelsohn, Nathan 1917 births 2006 deaths Jewish Canadian scientists Canadian mathematicians Canadian people of Romanian-Jewish descent University of Toronto alumni University of Manitoba faculty Members of the Order of Canada Fellows of the Royal Society of Canada American emigrants to Canada American people of Romanian-Jewish descent Scientists from Brooklyn Scientists from Toronto Presidents of the Canadian Mathematical Society