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Emil Grosswald (December 15, 1912 – April 11, 1989) was a
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 worked primarily in
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
.


Life and education

Grosswald was born on December 15, 1912 in
Bucharest Bucharest ( , ; ro, București ) is the capital and largest city of Romania, as well as its cultural, industrial, and financial centre. It is located in the southeast of the country, on the banks of the Dâmbovița River, less than north of ...
,
Romania Romania ( ; ro, România ) is a country located at the crossroads of Central, Eastern, and Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, Serbia to the southwest, Moldova to the east, and ...
. He received a
master's degree A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice.
in both mathematics and electrical engineering from the
University of Bucharest The University of Bucharest ( ro, Universitatea din București), commonly known after its abbreviation UB in Romania, is a public university founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princel ...
in 1933, spent six months in Italy and then received a Diplôme from École supérieure d'électricité in
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), ma ...
. Grosswald was
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
. When war broke out, he fled from Paris in June, 1940 to the
University of Montpellier The University of Montpellier (french: Université de Montpellier) is a public research university located in Montpellier, in south-east of France. Established in 1220, the University of Montpellier is one of the oldest universities in the wor ...
, where he began doctoral studies in mathematics. He fled at the end of 1941, through Spain and Lisbon to
Cuba Cuba ( , ), officially the Republic of Cuba ( es, República de Cuba, links=no ), is an island country comprising the island of Cuba, as well as Isla de la Juventud and several minor archipelagos. Cuba is located where the northern Caribbea ...
. He moved to
Puerto Rico Puerto Rico (; abbreviated PR; tnq, Boriken, ''Borinquen''), officially the Commonwealth of Puerto Rico ( es, link=yes, Estado Libre Asociado de Puerto Rico, lit=Free Associated State of Puerto Rico), is a Caribbean island and unincorporated ...
in 1946 and then to the United States in 1948. He received 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 ...
under
Hans Rademacher Hans Adolph Rademacher (; 3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher r ...
from the
University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universitie ...
in 1950. He was Visiting Professor at the
University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...
in 1964–1965 and one of his books, ''The Theory of Numbers,'' was written that year. He met his wife Elisabeth (Lissy) Rosenthal in Cuba, probably in 1941 or 1942. They were married in 1950 in
Saskatoon, Canada Saskatoon () is the largest city in the Canadian province of Saskatchewan. It straddles a bend in the South Saskatchewan River in the central region of the province. It is located along the Trans-Canada Yellowhead Highway, and has served as ...
, where he had his first teaching position after receiving his Ph.D. They spent two years at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...
in
Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...
in 1951 and 1959. During their first stay, they met
Albert Einstein Albert Einstein ( ; ; 14 March 1879 – 18 April 1955) was a German-born theoretical physicist, widely acknowledged to be one of the greatest and most influential physicists of all time. Einstein is best known for developing the theory ...
, with whom Emil had a correspondence, later bequeathed to the University of Texas, and formed many friendships, among others with the physicist
Freeman Dyson Freeman John Dyson (15 December 1923 – 28 February 2020) was an English-American theoretical physicist and mathematician known for his works in quantum field theory, astrophysics, random matrices, mathematical formulation of quantum m ...
. Emil and Lissy had two daughters, Blanche, who became a professor of Social Work at
Rutgers University Rutgers University (; RU), officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's College, and was ...
but died in 2003 at the age of 50, and Vivian, a professor of law at 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 univers ...
. Vivian was decorated in 2007 by the
Republic of Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ci ...
for her work as the United States appointee to the Austrian General Settlement Fund Committee for Nazi-era property compensation, and in 2013 by the government of France for her services in promotion of the French language and culture in the United States. Emil is the uncle of Pamela Ronald, a member of the National Academy of Sciences, whose father Robert Ronald (né Rosenthal) describes the family's escape from the Nazis in his memoir, "Last Train to Freedom". The son of Lissy's second cousin ( Ernest Beutler) is 2011 Nobel Laureate Bruce Beutler. Emil was also the nephew of the French composer
Marcel Mihalovici Marcel Mihalovici (Bucharest, 22 October 1898 – Paris, 12 August 1985) was a French composer born in Romania. He was discovered by George Enescu in Bucharest. He moved to Paris in 1919 (at age 21) to study under Vincent d'Indy. His works include ...
, who arrived in Paris in the 1920s with
Georges Enesco George Enescu (; – 4 May 1955), known in France as Georges Enesco, was a Romanian composer, violinist, conductor and teacher. Regarded as one of the greatest musicians in Romanian history, Enescu is featured on the Romanian five lei. Biogr ...
. After Grosswald's death, the American Mathematical Society held a national meeting in his honor, and in 1991 a Festschrift was published in his honor: "A Tribute to Emil Grosswald: Number Theory and Related Analysis." Of his attitude towards mathematics, one of the volume's editors noted the following: "In Grosswald's world, mathematics is challenge demanding dedication and long hours of work; it is science combined with art, truth with beauty. It is passionate and eternal pursuit of excellence. It is humility in the face of a powerful and proud history. Above all, it is meaning, a reason to go on..." Another colleague wrote: "He seemed to know everything – indeed it seems to me he must always have known everything. He was supportive, enthusiastic, but also demanding ... The depth of his love for mathematics inspired us all to strive to do better." Grosswald died on April 11, 1989 in
Narberth, Pennsylvania Narberth is a borough in Montgomery County, Pennsylvania, United States. It is one of many neighborhoods on the historic Philadelphia Main Line. The population was 4,282 at the 2010 census. History Narberth is located on a parcel of land origin ...
.


Career

Grosswald's first three scientific papers, written while he was in
Cuba Cuba ( , ), officially the Republic of Cuba ( es, República de Cuba, links=no ), is an island country comprising the island of Cuba, as well as Isla de la Juventud and several minor archipelagos. Cuba is located where the northern Caribbea ...
, were published under the pseudonym E. G. Garnea. He published articles in English, German, French, Spanish, and Italian. After receiving his PhD in 1950, Grosswald taught at the
University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universitie ...
until, towards the end of his life, he moved to
Temple University Temple University (Temple or TU) is a public state-related research university in Philadelphia, Pennsylvania. It was founded in 1884 by the Baptist minister Russell Conwell and his congregation Grace Baptist Church of Philadelphia then calle ...
to help build its graduate department in mathematics. He also held positions at the
University of Saskatchewan A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, ...
(1950),
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent schola ...
(1951 and 1959), the Technion (1980–1981), Swarthmore College (1982), and the
University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...
(Institut Marie Curie). Grosswald completed some works of his teacher
Hans Rademacher Hans Adolph Rademacher (; 3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher r ...
, who died in 1969. Rademacher had prepared notes for an Earle Raymond Hedrick Lecture in Boulder, Colorado in 1963 on
Dedekind sum In mathematics, Dedekind sums are certain sums of products of a sawtooth function, and are given by a function ''D'' of three integer variables. Dedekind introduced them to express the functional equation of the Dedekind eta function. They have su ...
s, but fell ill, and Grosswald gave the lecture for him. After Rademacher's death, Grosswald edited and completed the notes and published them in the
Carus Mathematical Monographs The ''Carus Mathematical Monographs'' is a monograph series published by the Mathematical Association of America.Drake, Miriam A. (2003). ''Encyclopedia of Library and Information Science: Lib-Pub.'' CRC Press, Books in this series are intended to ...
series as ''Dedekind Sums''. He also edited for publication Rademacher's posthumous textbook ''Topics in Analytic Number Theory''. He published numerous other books and countless articles. Grosswald was elected to the Board of Governors of the Mathematical Association of America for 1965–1968.
Temple University Temple University (Temple or TU) is a public state-related research university in Philadelphia, Pennsylvania. It was founded in 1884 by the Baptist minister Russell Conwell and his congregation Grace Baptist Church of Philadelphia then calle ...
's Mathematics Department annually sponsors the Emil Grosswald Memorial Lectures.After his death, the American Mathematical Society held a national meeting in his honor, and in 1991 a Festschrift was published in his honor: "A Tribute to Emil Grosswald: Number Theory and Related Analysis." Of Grosswald's attitude towards mathematics, one of the volume's editors noted the following: "In Grosswald's world, mathematics is challenge demanding dedication and long hours of work; it is science combined with art, truth with beauty. It is passionate and eternal pursuit of excellence. It is humility in the face of a powerful and proud history. Above all, it is meaning, a reason to go on..." Another colleague wrote: "He seemed to know everything - indeed it seems to me he must always have known everything. He was supportive, enthusiastic, but also demanding ... The depth of his love for mathematics inspired us all to strive to do better."


Selected publications

* * * * * *


Notes


Further reading

* A set of papers in honor of Grosswald; includes reminiscences, list of PhD students, and a list of papers and books.


External links

* * {{DEFAULTSORT:Grosswald, Emil 20th-century American mathematicians Mathematical analysts Number theorists Scientists from Bucharest Romanian Jews Jewish emigrants from Nazi Germany to the United States Temple University faculty University of Bucharest alumni University of Pennsylvania alumni University of Pennsylvania faculty 1912 births 1989 deaths Mathematicians from Pennsylvania Supélec alumni