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Marc N. Levine (born July 29, 1952 in
Levine works in algebraic geometry, in particular in the development of analogues of concepts from
Algebraic Cobordism, ICM 2002, pdf file
* with
Homepage at the University of Duisburg-Essen
{{DEFAULTSORT:Levine, Marc 20th-century American mathematicians 21st-century American mathematicians Massachusetts Institute of Technology School of Science alumni Brandeis University alumni University of Pennsylvania faculty Northeastern University faculty Academic staff of the University of Duisburg-Essen Living people 1952 births Members of the German National Academy of Sciences Leopoldina
Marc N. Levine (born July 29, 1952 in Detroit
Detroit ( , ; , ) is the largest city in the U.S. state of Michigan. It is also the largest U.S. city on the United States–Canada border, and the seat of government of Wayne County. The City of Detroit had a population of 639,111 at th ...
, Michigan
Michigan () is a state in the Great Lakes region of the upper Midwestern United States. With a population of nearly 10.12 million and an area of nearly , Michigan is the 10th-largest state by population, the 11th-largest by area, and the ...
) is an American 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 ...
.
Life and work
Levine graduated from theMassachusetts Institute of Technology
The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...
(bachelor's degree in 1974) and earned his doctorate in 1979 from Brandeis University
, mottoeng = "Truth even unto its innermost parts"
, established =
, type = Private research university
, accreditation = NECHE
, president = Ronald D. Liebowitz
, pro ...
under Teruhisa Matsusaka
(1926–2006) was a Japanese-born American mathematician, who specialized in algebraic geometry.
Matsusaka received his Ph.D. in 1952 at Kyoto University; he was a member of the Brandeis Mathematics Department from 1961 until his retirement in 1 ...
. He was assistant professor 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 ...
in Philadelphia
Philadelphia, often called Philly, is the largest city in the Commonwealth of Pennsylvania, the sixth-largest city in the U.S., the second-largest city in both the Northeast megalopolis and Mid-Atlantic regions after New York City. Sinc ...
from 1979 and at Northeastern University
Northeastern University (NU) is a private university, private research university with its main campus in Boston. Established in 1898, the university offers undergraduate and graduate programs on its main campus as well as satellite campuses in ...
from 1984 in Boston
Boston (), officially the City of Boston, is the state capital and most populous city of the Commonwealth of Massachusetts, as well as the cultural and financial center of the New England region of the United States. It is the 24th- mo ...
, where he has been associate professor since 1986 and since 1988 professor. He was a visiting professor at University Duisburg-Essen
The University of Duisburg-Essen (german: link=no, Universität Duisburg-Essen) is a public research university in North Rhine-Westphalia, Germany. In the 2019 ''Times Higher Education World University Rankings'', the university was awarded ...
, where he worked with Hélène Esnault
Hélène Esnault (born 17 July 1953) is a French and German mathematician, specializing in algebraic geometry.
Biography
Born in Paris, Esnault earned her PhD in 1976 from the University of Paris VII. She wrote her dissertation on ''Singularit ...
. Since 2009 he has been Alexander von Humboldt Professor
The Alexander von Humboldt Professorship is an academic prize named after Alexander von Humboldt and awarded by the Alexander von Humboldt Foundation since 2008. The prize is intended to attract internationally leading scientists from abroad to Ger ...
there. He was also a visiting scholar at MSRI (1986, 1990), Max Planck Institute for Mathematics
The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck
and forms part of the Max Planck S ...
in Bonn
The federal city of Bonn ( lat, Bonna) is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr r ...
(1983, 1987), Tata Institute of Fundamental Research (1988), at University of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington.
Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattle a ...
, Caltech
The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
, University Paris VI and Henri Poincaré Institute.
Levine works in algebraic geometry, in particular in the development of analogues of concepts from algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...
in algebraic geometry and the theory of motives (motivic cohomology
Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a special case. Some of the deepest problems in algebraic geometr ...
, motivic homotopy, algebraic K theory). He developed, together with Fabien Morel
Fabien Morel (born 22 January 1965, in Reims) is a French algebraic geometer and key developer of A¹ homotopy theory with Vladimir Voevodsky. Among his accomplishments is the proof of the Friedlander conjecture, and the proof of the complex cas ...
, the theory of algebraic cobordism In mathematics, algebraic cobordism is an analogue of complex cobordism for smooth quasi-projective schemes over a field. It was introduced by .
An oriented cohomology theory on the category of smooth quasi-projective schemes Sm over a field ''k'' ...
, an algebraic-geometry analog of the theory of cobordism
In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French '' bord'', giving ''cobordism'') of a manifold. Two manifolds of the same dim ...
in algebraic topology. In 2002, he was an invited speaker at ICM in Beijing
}
Beijing ( ; ; ), alternatively romanized as Peking ( ), is the capital of the People's Republic of China. It is the center of power and development of the country. Beijing is the world's most populous national capital city, with over 21 ...
(Algebraic Cobordism).
Honors and awards
In 2001 he received the Wolfgang Paul Award of theAlexander von Humboldt Foundation
The Alexander von Humboldt Foundation (german: Alexander von Humboldt-Stiftung) is a foundation established by the government of the Federal Republic of Germany and funded by the Federal Foreign Office, the Federal Ministry of Education and Resear ...
and in 2006 received the Humboldt Research Award. In 2013 he was elected to the Leopoldina Leopoldina may refer to:
* Colônia Leopoldina, a Brazilian municipality in the state of Alagoa
* Leopoldina, Minas Gerais, a Brazilian municipality in the state of Minas Gerais
* Maria Leopoldina of Austria (1797-1826), consort of emperor Pedro I ...
.
In 2018 he was awarded the Senior Berwick Prize The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the s ...
of the London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical S ...
.
Selected writings
* Mixed Motives, American Mathematical Society 1998 * Mixed Motives, in E.Friedlander, D. Grayson (Editor): Handbook of K-Theory, vol. 1, Springer, 2005, p. 429Algebraic Cobordism, ICM 2002, pdf file
* with
Fabien Morel
Fabien Morel (born 22 January 1965, in Reims) is a French algebraic geometer and key developer of A¹ homotopy theory with Vladimir Voevodsky. Among his accomplishments is the proof of the Friedlander conjecture, and the proof of the complex cas ...
: Algebraic Cobordism, Springer 2007
See also
*Bloch's higher Chow group In algebraic geometry, Bloch's higher Chow groups, a generalization of Chow group, is a precursor and a basic example of motivic cohomology (for smooth varieties). It was introduced by Spencer Bloch and the basic theory has been developed by Bloch ...
References
External links
Homepage at the University of Duisburg-Essen
{{DEFAULTSORT:Levine, Marc 20th-century American mathematicians 21st-century American mathematicians Massachusetts Institute of Technology School of Science alumni Brandeis University alumni University of Pennsylvania faculty Northeastern University faculty Academic staff of the University of Duisburg-Essen Living people 1952 births Members of the German National Academy of Sciences Leopoldina