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 ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent ...

. 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. Founded in 1819 by Thomas Jefferson, the university is ranked among the top academic institutions in the United S ...

. 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. It is the oldest Mixed-sex education, coeducational liberal arts college in the United S ...

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

Yale University Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the wo ...

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 awar ...

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 Director of the Mathematical Sciences Research Institute (MSRI); he previously serve ...

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

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

Massachusetts 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 ...

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

Purdue University Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...

, 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 (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 (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 people of ...

). 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 of Mathematics at the University of Michigan. Education Hochster attend ...

and others, he developed the theory of

tight closure In mathematics, in the area of commutative algebra, tight closure is an operation defined on ideals in positive characteristic. It was introduced by . Let R be a commutative noetherian ring containing a field of characteristic p > 0. Hence p is ...

, a device in

ring theory In algebra, ring theory is the study of rings— algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers. Ring theory studies the structure of rings, their re ...

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, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic , an important class which includes finite fields. The endomorphism ma ...

figures prominently. He also studies linkage theory,

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

s, homological theory of

module Module, modular and modularity may refer to the concept of modularity. They may also refer to: Computing and engineering * Modular design, the engineering discipline of designing complex devices using separately designed sub-components * Mo ...

s 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-Noether ...

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 ideals, 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 is ...

s and Hilbert-Kunz functions. He was an

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

in 1990 in

Kyoto Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the ci ...

(''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.

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
''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