Melvyn B. Nathanson
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Melvyn Bernard Nathanson (born October 10, 1944, in Philadelphia, Pennsylvania) is an American mathematician, specializing 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 ...
, and a Professor of Mathematics at
Lehman College Lehman College is a public college in New York City, United States. Founded in 1931 as the Bronx campus of Hunter College, it became an independent college in 1967. The college is named after Herbert H. Lehman, a former New York governor, United ...
and the
Graduate Center of the City University of New York The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and postgraduate university in New York City. Formed in 1961 as Division of Graduate Studies at City University ...
). His principal work is in
additive Additive may refer to: Mathematics * Additive function, a function in number theory * Additive map, a function that preserves the addition operation * Additive set-function see Sigma additivity * Additive category, a preadditive category with fin ...
and
combinatorial Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
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 ...
. He is the author of over 200 research papers in mathematics, and author or editor of 27 books.


Education

Nathanson graduated from Central High School in 1961 and 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 1965 with a
Bachelor of Arts A Bachelor of Arts (abbreviated B.A., BA, A.B. or AB; from the Latin ', ', or ') is the holder of a bachelor's degree awarded for an undergraduate program in the liberal arts, or, in some cases, other disciplines. A Bachelor of Arts deg ...
in philosophy. He was a graduate student in
biophysics Biophysics is an interdisciplinary science that applies approaches and methods traditionally used in physics to study biological phenomena. Biophysics covers all scales of biological organization, from molecular to organismic and populations ...
at
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
in 1965–66, then moved to the
University of Rochester The University of Rochester is a private university, private research university in Rochester, New York, United States. It was founded in 1850 and moved into its current campus, next to the Genesee River in 1930. With approximately 30,000 full ...
, where he received a PhD in mathematics in 1972. During the academic year 1969–70 he was a visiting research student in the Department of Pure Mathematics and Mathematical Statistics at the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
.


Professional life

Nathanson was on the faculty of Southern Illinois University, Carbondale from 1971 to 1981. He was Professor of Mathematics and Dean of the Graduate School of Rutgers-Newark from 1981 to 1986, and Provost and Vice President of Academic Affairs at Lehman College at the City University of New York from 1986 to 1991. He has been Professor of Mathematics at Lehman College and the Graduate Center of the City University of New York since 1986. He held visiting positions at Harvard University in 1977–78,
Rockefeller University The Rockefeller University is a Private university, private Medical research, biomedical Research university, research and graduate-only university in New York City, New York. It focuses primarily on the biological and medical sciences and pro ...
in 1981–83,
Tel Aviv University Tel Aviv University (TAU) is a Public university, public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Located in northwest Tel Aviv, the university is the center of teaching and ...
in Spring, 2001, and
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
in Fall, 2008. In 1974–75 Nathanson was Assistant to
André Weil André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is du ...
in the School of Mathematics of 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 ...
. Nathanson subsequently spent the academic years 1990–91 and 1999–2000, and the Fall, 2007, term at the Institute. He served as President of the Association of Members of 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 ...
(AMIAS) from 1998 to 2012. In 1972–73 Nathanson became the first American mathematician to receive an
International Research & Exchanges Board The International Research & Exchanges Board (IREX) is an international, nonprofit organization that specializes in global education and development. IREX works with partners in more than 100 countries. History IREX was established in 1968 by ...
fellowship to spend a year in the former
USSR The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...
, where he worked with I. M. Gel'fand at
Moscow State University Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, a ...
. In 1977 the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, NGO, 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 ...
selected him to spend another year in Moscow on its exchange agreement with the
USSR Academy of Sciences The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991. It united the country's leading scientists and was subordinated directly to the Council of Ministers of the Soviet Union (u ...
. An international brouhaha ensued when the Soviet government refused to allow him to re-enter the country. He spent the academic year 1977–78 in the mathematics department at Harvard University, where he also worked in the Program for Science and International Affairs, and contributed to the book ''Nuclear Nonproliferation: The Spent Fuel Problem''. Nathanson is the author/editor/translator of several books and articles on Soviet art and politics, including ''Komar/Melamid: Two Soviet Dissident Artists'', and Grigori Freiman, ''It Seems I am a Jew: A Samizdat Essay on Anti-Semitism in Soviet Mathematics'', both published by
Southern Illinois University Press Southern Illinois University Press or SIU Press, founded in 1956, is a university press located in Carbondale, Illinois, owned and operated by Southern Illinois University. The press publishes approximately 50 titles annually, among its more th ...
. Nathanson was a frequent collaborator with
Paul Erdős Paul Erdős ( ; 26March 191320September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, g ...
, with whom he wrote 19 papers in number theory. He also organizes the Workshop on Combinatorial and Additive Number Theory, which has been held annually at
the Graduate Center, CUNY The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and postgraduate university in New York City. Formed in 1961 as Division of Graduate Studies at City University ...
since 2003. Nathanson's essays on political and social issues related to science have appeared in ''
The New York Times ''The New York Times'' (''NYT'') is an American daily newspaper based in New York City. ''The New York Times'' covers domestic, national, and international news, and publishes opinion pieces, investigative reports, and reviews. As one of ...
'', The ''
Bulletin of the Atomic Scientists The ''Bulletin of the Atomic Scientists'' is a nonprofit organization concerning science and global security issues resulting from accelerating technological advances that have negative consequences for humanity. The ''Bulletin'' publishes conte ...
'', ''
The Mathematical Intelligencer ''The Mathematical Intelligencer'' is a mathematical journal published by Springer Science+Business Media that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals. Volumes ...
'', ''
Notices of the American Mathematical Society ''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume was published in 1953. Each issue of the magazine ...
'', and other publications. He was elected to the 2018 class of
fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...
s of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.


Personal life

Nathanson is married to Marjorie Frankel Nathanson, Director of the
Hunterdon Art Museum The Hunterdon Art Museum, previously known as the Hunterdon Art Center and the Hunterdon Museum of Art, is located in a historic stone mill at 7 Lower Center Street in Clinton, New Jersey. It was founded in 1952 when it purchased Dunham's Mill, ...
in Clinton, New Jersey.


Selected publications


Books

* * *


Papers

Nathanson's recent mathematical work is available on the arXiv. Some of his most significant works include: * * *


See also

* New York Number Theory Seminar


References


External links

*homepage: http://www.theoryofnumbers.com {{DEFAULTSORT:Nathanson, Melvyn 1944 births Living people 20th-century American mathematicians 21st-century American mathematicians 21st-century American Jews American number theorists Additive combinatorialists Jewish American scientists CUNY Graduate Center faculty Lehman College faculty Mathematicians from Philadelphia Fellows of the American Mathematical Society People from Millburn, New Jersey