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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 ...
, Michigan
Michigan () is a U.S. state, state in the Great Lakes region, Great Lakes region of the Upper Midwest, upper Midwestern United States. With a population of nearly 10.12 million and an area of nearly , Michigan is the List of U.S. states and ...
) 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, mathematical structure, structure, space, Mathematica ...
.
Life and work
Levine graduated from theMassachusetts Institute of Technology
The Massachusetts Institute of Technology (MIT) is a Private university, private Land-grant university, land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern t ...
(bachelor's degree in 1974) and earned his doctorate in 1979 from Brandeis University
Brandeis University is a Private university, private research university in Waltham, Massachusetts. Founded in 1948 as a nonsectarian, non-sectarian, coeducational institution sponsored by the Jews, Jewish community, Brandeis was established on t ...
under Teruhisa Matsusaka. 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 universit ...
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 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 Charlotte, North C ...
from 1984 in Boston
Boston (), officially the City of Boston, is the capital city, state capital and List of municipalities in Massachusetts, most populous city of the Commonwealth (U.S. state), Commonwealth of Massachusetts, as well as the cultural and financ ...
, 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. 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 Plan ...
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-Ru ...
(1983, 1987), Tata Institute of Fundamental Research
Tata Institute of Fundamental Research (TIFR) is an Indian Research Institute under the Department of Atomic Energy of the Government of India. It is a public deemed university located at Navy Nagar, Colaba in Mumbai. It also has campus in Bang ...
(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 Seat ...
, 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
Henri is an Estonian, Finnish, French, German and Luxembourgish form of the masculine given name Henry.
People with this given name
; French noblemen
:'' See the 'List of rulers named Henry' for Kings of France named Henri.''
* Henri I de Montm ...
.
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 invariants that classify topological spaces up to homeomorphism, though usually most classif ...
in algebraic geometry and the theory of motives ( motivic cohomology, motivic homotopy
In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The motive ...
, algebraic K theory
Algebraic ''K''-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called ''K''-groups. These are groups in the sense o ...
). 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 ca ...
, 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 '' ...
, 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 ...
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 theWolfgang Paul Award
Wolfgang is a German male given name traditionally popular in Germany, Austria and Switzerland. The name is a combination of the Old High German words '' wolf'', meaning "wolf", and '' gang'', meaning "path", "journey", "travel". Besides the reg ...
of the Alexander 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 Rese ...
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 ...
.
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 ...
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 ca ...
: 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 Blo ...
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