Craig Lee Huneke (born August 27, 1951) is an American mathematician specializing in

commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideal (ring theory), ideals, and module (mathematics), modules over such rings. Both algebraic geometry and algebraic number theo ...

. He is a professor at the

University of Virginia The University of Virginia (UVA) is a Public university#United States, public research university in Charlottesville, Virginia, United States. It was founded in 1819 by Thomas Jefferson and contains his The Lawn, Academical Village, a World H ...

. Huneke graduated from

Oberlin College Oberlin College is a Private university, private Liberal arts colleges in the United States, liberal arts college and conservatory of music in Oberlin, Ohio, United States. Founded in 1833, it is the oldest Mixed-sex education, coeducational lib ...

with a bachelor's degree in 1973 and in 1978 earned a Ph.D. from the

Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...

under

Nathan Jacobson Nathan Jacobson (October 5, 1910 – December 5, 1999) was an American mathematician. Biography Born Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. He graduated from the University of Alabama in 1930 and was awa ...

and

David Eisenbud David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and former director of the then Mathematical Sciences Research Institute (MSRI), now k ...

(''Determinantal ideal and questions related to factoriality''). As a post-doctoral fellow, he was at the

University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...

. In 1979 he became an assistant professor and was at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

and the University of Bonn (1980). In 1981 he became an assistant professor at

Purdue University Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded ...

, where in 1984 he became an associate professor and became a professor in 1987. From 1994 to 1995 he was a visiting professor at the University of Michigan and in 1999 was at the

Max Planck Institute for Mathematics The Max Planck Institute for Mathematics (, MPIM) is a research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association o ...

in Bonn (as a

Fulbright Scholar The Fulbright Program, including the Fulbright–Hays Program, is one of several United States cultural exchange programs with the goal of improving intercultural relations, cultural diplomacy, and intercultural competence between the peopl ...

). In 1999, he was Henry J. Bischoff professor at the University of Kansas. In 2002 he was at MSRI. Since 2012 he has been Marvin Rosenblum professor at the

. With

Melvin Hochster Melvin Hochster (born August 2, 1943) is an American mathematician working in commutative algebra. He is currently the Jack E. McLaughlin Distinguished University Professor Emeritus of Mathematics at the University of Michigan. Education Hochs ...

and others, he developed the theory of tight closure, a device in ring theory that is used to study rings containing a

field Field may refer to: Expanses of open ground * Field (agriculture), an area of land used for agricultural purposes * Airfield, an aerodrome that lacks the infrastructure of an airport * Battlefield * Lawn, an area of mowed grass * Meadow, a grass ...

of characteristic ''p'' in which

Frobenius endomorphism In commutative algebra and field theory (mathematics), field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative Ring (mathematics), rings with prime number, prime characteristic (algebra), ...

figures prominently. He also studies linkage theory,

Rees algebra In commutative algebra, the Rees algebra or Rees ring of an ideal ''I'' in a commutative ring ''R'' is defined to be R t\bigoplus_^ I^n t^\subseteq R The extended Rees algebra of ''I'' (which some authors refer to as the Rees algebra of ''I'') is ...

s, homological theory of modules over

Noetherian ring In mathematics, a Noetherian ring is a ring that satisfies the ascending chain condition on left and right ideals. If the chain condition is satisfied only for left ideals or for right ideals, then the ring is said left-Noetherian or right-Noethe ...

local cohomology In algebraic geometry, local cohomology is an algebraic analogue of relative cohomology. Alexander Grothendieck introduced it in seminars in Harvard in 1961 written up by , and in 1961-2 at IHES written up as SGA2 - , republished as . Given a fu ...

symbolic powers of ideal Symbolic may refer to: * Symbol, something that represents an idea, a process, or a physical entity Mathematics, logic, and computing * Symbolic computation, a scientific area concerned with computing with mathematical formulas * Symbolic dynamic ...

s, Cohen-Macaulay rings,

Gorenstein ring In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring ''R'' with finite injective dimension as an ''R''-module. There are many equivalent conditions, some of them listed below, often saying that a Gorenstein ring i ...

s and Hilbert-Kunz functions. He was an

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

in 1990 in

Kyoto Kyoto ( or ; Japanese language, Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in the Kansai region of Japan's largest and most populous island of Honshu. , the city had a population of 1.46 million, making it t ...

(''Absolute Integral Closure and Big Cohen-Macaulay Algebras''). He is 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, ...

. Huneke's son is historian

Samuel Clowes Huneke Samuel Clowes Huneke is an American historian of modern Europe, author, and essayist. He is associate professor of history at George Mason University. Huneke graduated from Amherst College with a bachelor's degree ''summa cum laude'' in German an ...

Writings

*With Hochster ''Tightly closed ideals'', Bulletin of the American Mathematical Society, volume 18, 1988, pg. 45–48 *With Hochster ''Tight closure, invariant theory, and the Briançon–Skoda theorem'', Journal of the American Mathematical Society, volume 3, 1990, pg. 31–116 *With Hochster: ''Phantom Homology'', Memoirs American Mathematical Society 1993 * ''Tight closure and its application'', American Mathematical Society 1996 *With

Irena Swanson Irena Swanson is an American mathematician specializing in commutative algebra. She is head of the Purdue University Department of Mathematics since 2020. She was a professor of mathematics at Reed College from 2005 to 2020. Education and career S ...

''Integral closure of ideals, rings, and modules''
Cambridge University Press, 2006 *With B. Ulrich ''The structure of linkage'', Annals of Mathematics, volume 126, 1987, pg. 277-334 *With Hochste
''Infinite integral extensions and big Cohen-Macaulay algebras''
Annals of Mathematics, volume 135, 1992, pg. 53-89 *With

, W. Vasconcelos ''Direct methods for primary decomposition'', Inventiones Mathematicae, volume 110, 1992, pg. 207-236 *''Uniform bounds in noetherian rings'', Inventiones Mathematicae, volume 107, 1992, pg. 203-223 *With Hochste
''Comparison of symbolic and ordinary powers of ideals''
Inventiones Mathematicae, volume 147, 2002, pg. 349-369 *With D. Eisenbud, B. Ulric
''The regularity of Tor and graded Betti numbers''
American Journal of Mathematics, volume 128, 2006, pg. 573-605

References

External links

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{{DEFAULTSORT:Huneke, Craig 1951 births Living people 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society University of Michigan fellows Oberlin College alumni University of Virginia faculty Yale University alumni