Charles Alexander Weibel (born October 28, 1950 in

Terre Haute Terre Haute ( ) is a city in and the county seat of Vigo County, Indiana, United States, about 5 miles east of the state's western border with Illinois. As of the 2010 census, the city had a population of 60,785 and its metropolitan area had a ...

Indiana Indiana () is a U.S. state in the Midwestern United States. It is the 38th-largest by area and the 17th-most populous of the 50 States. Its capital and largest city is Indianapolis. Indiana was admitted to the United States as the 19th s ...

) is an American mathematician working on

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 ...

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

and

homological algebra Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precurs ...

. Weibel studied physics and mathematics at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

, earning bachelor's degrees in both subjects in 1972. He was awarded a master's degree by the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...

in 1973 and achieved his doctorate in 1977 under the supervision of

Richard Swan Richard Gordon Swan (; born 1933) is an American mathematician who is known for the Serre–Swan theorem relating the geometric notion of vector bundles to the algebraic concept of projective modules, and for the Swan representation, an ''l''-a ...

(''Homotopy in Algebraic K-Theory''). From 1970 to 1976 he was an "Operations Research Analyst" at

Standard Oil Standard Oil Company, Inc., was an American oil production, transportation, refining, and marketing company that operated from 1870 to 1911. At its height, Standard Oil was the largest petroleum company in the world, and its success made its co-f ...

of Indiana, and from 1977 to 1978 was at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

. In 1978 he became an

assistant professor Assistant Professor is an academic rank just below the rank of an associate professor used in universities or colleges, mainly in the United States and Canada. Overview This position is generally taken after earning a doctoral degree and general ...

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 1980 he became an assistant professor at

Rutgers University Rutgers University (; RU), officially Rutgers, The State University of New Jersey, is a Public university, public land-grant research university consisting of four campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's ...

, where he was promoted to professor in 1989. He joined

Vladimir Voevodsky Vladimir Alexandrovich Voevodsky (, russian: Влади́мир Алекса́ндрович Воево́дский; 4 June 1966 – 30 September 2017) was a Russian-American mathematician. His work in developing a homotopy theory for algebraic var ...

and

Markus Rost Markus Rost is a German mathematician who works at the intersection of topology and algebra. He was an invited speaker at the International Congress of Mathematicians in 2002 in Beijing, China. He is a professor at the University of Bielefeld. He ...

in proving the ( motivic) Bloch–Kato conjecture (2009). It is a generalization of the

Milnor conjecture In mathematics, the Milnor conjecture was a proposal by of a description of the Milnor K-theory (mod 2) of a general field ''F'' with characteristic different from 2, by means of the Galois (or equivalently étale) cohomology of ''F'' wi ...

of algebraic K-theory, which was proved by Voevodsky in the 1990s. He was a visiting professor in 1992 at the

University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...

and 1993 at the

University of Strasbourg The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the ea ...

. Since 1983 he has been an editor of the ''

Journal of Pure and Applied Algebra The ''Journal of Pure and Applied Algebra'' is a monthly peer-reviewed scientific journal covering that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic t ...

''. He helped found the ''K-theory Foundation'' in 2010, and has been a managing editor of the ''

Annals of K-theory Annals ( la, annāles, from , "year") are a concise historical record in which events are arranged chronologically, year by year, although the term is also used loosely for any historical record. Scope The nature of the distinction between ann ...

'' since 2014. In 2014, he became a Fellow 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, ...

.List of Fellows of the American Mathematical Society
retrieved 2014-12-17

Writings

* With

Eric Friedlander Eric Mark Friedlander (born January 7, 1944 in Santurce, Puerto Rico) is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory. Friedlander graduated from Swarthmore Co ...

, ''An overview over algebraic K-theory'', in ''Algebraic K-theory and its applications'', World Scientific 1999, pp. 1–119 (1997 Trieste Lecture Notes) * * With Carlo Mazza,

br>''Lectures on Motivic Cohomology''
Clay Monographs in Mathematics, American Mathematical Society 2006 * ''An introduction to homological algebra'', Cambridge University Press 1994 * ''The proof of the Bloch-Kato conjecture'', Trieste Lectures 2007, ICTP Lecture Notes Series 23 (2008), 277–305 **

Notes

References

*The original article was a Google translation of the corresponding article in German Wikipedia.

External links

*
Homepage
{{DEFAULTSORT:Weibel, Charles 20th-century American mathematicians 21st-century American mathematicians 1950 births Living people Rutgers University faculty Algebraic geometers University of Michigan alumni Fellows of the American Mathematical Society Mathematicians from Indiana People from Terre Haute, Indiana