Steven Kleiman
Encyclopedia
Steven Lawrence Kleiman (born 31 March 1942) is an American
mathematician
.
He is a Professor of Mathematics at the Massachusetts Institute of Technology
. Born in Boston
, he did his undergraduate studies at the MIT. He received his Ph.D. from Harvard University
in 1965, after studying there with Oscar Zariski
and David Mumford
, and joined the MIT faculty in 1969. In 1989 the University of Copenhagen
awarded him an honorary doctorate and in May 2002 the Norwegian Academy of Science and Letters
hosted a conference in honor of his 60th birthday and elected him as a foreign member. That same year Kleiman was elected foreign member of the Royal Danish Academy of Sciences and Letters
. Kleiman held the prestigious NATO Postdoctoral Fellowship (1966-1967), Sloan Fellowship
(1968), and Guggenheim Fellowship
(1979).
Kleiman is known for his work in algebraic geometry
and commutative algebra
. He has made seminal contributions in motivic cohomology
, moduli theory, intersection theory
and enumerative geometry
. A study of academic collaborations in enumerative geometry found that he was not only the most prolific author in that area, but also the one with the most collaborative ties, and the most central author of the field in terms of closeness centrality
; the study's authors proposed to name the collaboration graph of the field in his honor.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
He is a Professor of Mathematics at the Massachusetts Institute of Technology
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
. Born in Boston
Boston
Boston is the capital of and largest city in Massachusetts, and is one of the oldest cities in the United States. The largest city in New England, Boston is regarded as the unofficial "Capital of New England" for its economic and cultural impact on the entire New England region. The city proper had...
, he did his undergraduate studies at the MIT. He received his Ph.D. from Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
in 1965, after studying there with Oscar Zariski
Oscar Zariski
Oscar Zariski was a Russian mathematician and one of the most influential algebraic geometers of the 20th century.-Education:...
and David Mumford
David Mumford
David Bryant Mumford is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science...
, and joined the MIT faculty in 1969. In 1989 the University of Copenhagen
University of Copenhagen
The University of Copenhagen is the oldest and largest university and research institution in Denmark. Founded in 1479, it has more than 37,000 students, the majority of whom are female , and more than 7,000 employees. The university has several campuses located in and around Copenhagen, with the...
awarded him an honorary doctorate and in May 2002 the Norwegian Academy of Science and Letters
Norwegian Academy of Science and Letters
The Norwegian Academy of Science and Letters is a learned society based in Oslo, Norway.-History:The University of Oslo was established in 1811. The idea of a learned society in Christiania surfaced for the first time in 1841. The city of Throndhjem had no university, but had a learned...
hosted a conference in honor of his 60th birthday and elected him as a foreign member. That same year Kleiman was elected foreign member of the Royal Danish Academy of Sciences and Letters
Royal Danish Academy of Sciences and Letters
Royal Danish Academy of Sciences and Letters is a Danish non-governmental science Academy, founded 13 November 1742 by permission of the King Christian VI, as a historical Collegium Antiquitatum...
. Kleiman held the prestigious NATO Postdoctoral Fellowship (1966-1967), Sloan Fellowship
Sloan Fellowship
The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This is distinct from the Sloan Fellows in business....
(1968), and Guggenheim Fellowship
Guggenheim Fellowship
Guggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
(1979).
Kleiman is known for his work in algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
and commutative algebra
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
. He has made seminal contributions in motivic cohomology
Motivic cohomology
Motivic cohomology is a cohomological theory in mathematics, the existence of which was first conjectured by Alexander Grothendieck during the 1960s. At that time, it was conceived as a theory constructed on the basis of the so-called standard conjectures on algebraic cycles, in algebraic geometry...
, moduli theory, intersection theory
Intersection theory
In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is older, with roots in Bézout's theorem on curves and...
and enumerative geometry
Enumerative geometry
In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.-History:...
. A study of academic collaborations in enumerative geometry found that he was not only the most prolific author in that area, but also the one with the most collaborative ties, and the most central author of the field in terms of closeness centrality
Centrality
Within graph theory and network analysis, there are various measures of the centrality of a vertex within a graph that determine the relative importance of a vertex within the graph...
; the study's authors proposed to name the collaboration graph of the field in his honor.