Emil Grosswald
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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, mathematical structure, structure, space, Mathematica ...
who worked primarily in
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
.


Life and education

Grosswald was born on December 15, 1912, in
Bucharest Bucharest ( , ; ) is the capital and largest city of Romania. The metropolis stands on the River Dâmbovița (river), Dâmbovița in south-eastern Romania. Its population is officially estimated at 1.76 million residents within a greater Buc ...
,
Romania Romania is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern and Southeast Europe. It borders Ukraine to the north and east, Hungary to the west, Serbia to the southwest, Bulgaria to the south, Moldova to ...
. He received a
master's degree A master's degree (from Latin ) is a postgraduate 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 prac ...
in both
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
and
electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems that use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
from the
University of Bucharest The University of Bucharest (UB) () is a public university, public research university in Bucharest, Romania. It was founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princely Academy of Bucharest, P ...
in 1933, spent six months in Italy and then received a Diplôme from
École supérieure d'électricité École or Ecole may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * Éco ...
in
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
. Grosswald was
Jewish Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, rel ...
. When war broke out, he fled from Paris in June, 1940 to the
University of Montpellier The University of Montpellier () is a public university, public research university located in Montpellier, in south-east of France. Established in 1220, the University of Montpellier is one of the List of oldest universities in continuous opera ...
, where he began doctoral studies in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
. He fled at the end of 1941, through Spain and
Lisbon Lisbon ( ; ) is the capital and largest city of Portugal, with an estimated population of 567,131, as of 2023, within its administrative limits and 3,028,000 within the Lisbon Metropolitan Area, metropolis, as of 2025. Lisbon is mainlan ...
to
Cuba Cuba, officially the Republic of Cuba, is an island country, comprising the island of Cuba (largest island), Isla de la Juventud, and List of islands of Cuba, 4,195 islands, islets and cays surrounding the main island. It is located where the ...
. He moved to
Puerto Rico ; abbreviated PR), officially the Commonwealth of Puerto Rico, is a Government of Puerto Rico, self-governing Caribbean Geography of Puerto Rico, archipelago and island organized as an Territories of the United States, unincorporated territo ...
in 1946 and then to the United States in 1948. He received his
Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
under
Hans Rademacher Hans Adolph Rademacher (; 3 April 1892 – 7 February 1969) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göt ...
from the
University of Pennsylvania The University of Pennsylvania (Penn or UPenn) is a Private university, private Ivy League research university in Philadelphia, Pennsylvania, United States. One of nine colonial colleges, it was chartered in 1755 through the efforts of f ...
in 1950. He was visiting professor at the
University of Paris The University of Paris (), known Metonymy, metonymically as the Sorbonne (), was the leading university in Paris, France, from 1150 to 1970, except for 1793–1806 during the French Revolution. Emerging around 1150 as a corporation associated wit ...
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 th ...
, 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) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
in
Princeton, New Jersey The Municipality of Princeton is a Borough (New Jersey), borough in Mercer County, New Jersey, United States. It was established on January 1, 2013, through the consolidation of the Borough of Princeton, New Jersey, Borough of Princeton and Pri ...
, in 1951 and 1959. During their first stay, they met
Albert Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
, 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 a British-American theoretical physics, theoretical physicist and mathematician known for his works in quantum field theory, astrophysics, random matrix, random matrices, math ...
. Emil and Lissy had two daughters, Blanche, who became a professor of Social Work at
Rutgers University Rutgers University ( ), officially Rutgers, The State University of New Jersey, is a Public university, public land-grant research university consisting of three campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's C ...
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 Commonwealth System of Higher Education, state-related research university in Pittsburgh, Pennsylvania, United States. The university is composed of seventeen undergraduate and graduate schools and colle ...
. Vivian was decorated in 2007 by the
Republic of Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
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 Ernest Beutler (September 30, 1928 – October 5, 2008) was a German-born American hematologist and biomedical scientist. He made important discoveries about the causes of a number of diseases, including anemias, Gaucher disease, disorders of ...
) is 2011 Nobel Laureate
Bruce Beutler Bruce Alan Beutler ( ; born December 29, 1957) is an American immunologist and geneticist. Together with Jules A. Hoffmann, he received one-half of the 2011 Nobel Prize in Nobel Prize in Physiology or Medicine, Physiology or Medicine, for "disc ...
. 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, pianist, conductor, teacher and statesman. He is regarded as one of the greatest musicians in Romanian history. Biography Enescu was bo ...
. 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,
Marvin Knopp Marvin Isadore Knopp (January 4, 1933 – December 24, 2011) was an American mathematician who worked primarily in number theory. He made notable contributions to the theory of modular forms. Life and education Knopp was born on January 4, 193 ...
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..." Mark Sheingorn 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 (Pennsylvania), borough in Montgomery County, Pennsylvania. 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 ...
.


Career

Grosswald's first three scientific papers, written while he was in
Cuba Cuba, officially the Republic of Cuba, is an island country, comprising the island of Cuba (largest island), Isla de la Juventud, and List of islands of Cuba, 4,195 islands, islets and cays surrounding the main island. It is located where the ...
, were published under the pseudonym E. G. Garnea. He published articles in English, German, French, Spanish, and Italian. After receiving his
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
in 1950, Grosswald taught at the
University of Pennsylvania The University of Pennsylvania (Penn or UPenn) is a Private university, private Ivy League research university in Philadelphia, Pennsylvania, United States. One of nine colonial colleges, it was chartered in 1755 through the efforts of f ...
until, towards the end of his life, he moved to
Temple University Temple University (Temple or TU) is a public university, public Commonwealth System of Higher Education, state-related research university in Philadelphia, Philadelphia, Pennsylvania, United States. It was founded in 1884 by the Baptist ministe ...
to help build its graduate department in mathematics. He also held positions at the
University of Saskatchewan The University of Saskatchewan (U of S, or USask) is a Universities in Canada, Canadian public university, public research university, founded on March 19, 1907, and located on the east side of the South Saskatchewan River in Saskatoon, Saskatch ...
(1950),
Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
(1951 and 1959), the Technion (1980–1981),
Swarthmore College Swarthmore College ( , ) is a Private college, private Liberal arts colleges in the United States, liberal arts college in Swarthmore, Pennsylvania, United States. Founded in 1864, with its first classes held in 1869, Swarthmore is one of the e ...
(1982), and the
University of Paris The University of Paris (), known Metonymy, metonymically as the Sorbonne (), was the leading university in Paris, France, from 1150 to 1970, except for 1793–1806 during the French Revolution. Emerging around 1150 as a corporation associated wit ...
(Institut Marie Curie). Grosswald completed some works of his teacher
Hans Rademacher Hans Adolph Rademacher (; 3 April 1892 – 7 February 1969) was a German-born American mathematician, known for work in mathematical analysis and number theory. Biography Rademacher received his Ph.D. in 1916 from Georg-August-Universität Göt ...
, who died in 1969. Rademacher had prepared notes for an
Earle Raymond Hedrick Earle Raymond Hedrick (September 27, 1876 – February 3, 1943), was an American mathematician and a vice-president of the University of California. Education and career Hedrick was born in Union City, Indiana. After undergraduate work at ...
Lecture in
Boulder, Colorado Boulder is a List of municipalities in Colorado#Home rule municipality, home rule city in Boulder County, Colorado, United States, and its county seat. With a population of 108,250 at the 2020 United States census, 2020 census, it is the most ...
, 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 t ...
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 The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...
for 1965–1968.
Temple University Temple University (Temple or TU) is a public university, public Commonwealth System of Higher Education, state-related research university in Philadelphia, Philadelphia, Pennsylvania, United States. It was founded in 1884 by the Baptist ministe ...
'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 American mathematical analysts American 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