Craig Huneke

Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
141 Cabell Dr
Charlottesville, Virginia 22904
AS-MATH Local cohomology and singularities
Source: U.S. NSF - Directorate Math. & Physical Sciences
September 01, 2015 – August 31, 2019
AS-MATH Uniformity in Commutative Algebra
Source: U.S. NSF - Directorate Math. & Physical Sciences
May 01, 2015 – April 30, 2019
AS-MATH Studies in Commutative Algebra
Source: U.S. NSF - Directorate Math. & Physical Sciences
September 01, 2012 – May 31, 2016
MATH 3351: Elementary Linear Algebra
Credits: 3
Includes matrices, elementary row operations, inverses, vector spaces and bases, inner products and Gram-Schmidt orthogonalization, orthogonal matrices, linear transformations and change of basis, eigenvalues, eigenvectors, and symmetric matrices. Credit is not given for both MATH 3350 and 3351. Prerequisite: MATH 1320.
MATH 3354: Survey of Algebra
Credits: 3
Surveys major topics of modern algebra: groups, rings, and fields. Presents applications to areas such as geometry and number theory; explores rational, real, and complex number systems, and the algebra of polynomials. Students without prior experience constructing rigorous proofs are encouraged to take Math 3000 before or concurrently with Math 3354. Prerequisite: MATH 1320.
MATH 4652: Introduction to Abstract Algebra
Credits: 3
Structural properties of basic algebraic systems such as groups, rings, and fields. A special emphasis is made on polynomials in one and several variables, including irreducible polynomials, unique factorization, and symmetric polynomials. Time permitting such topics as group representations or algebras over a field may be included. Prerequisites: MATH 3351 or 4651 and MATH 3354 or permission of the instructor.
MATH 5653: Number Theory
Credits: 3
The study of the integers and related number systems. Includes polynomial congruences, rings of congruence classes and their groups of units, quadratic reciprocity, diophantine equations, and number-theoretic functions. Additional topics such as the distribution of prime numbers may be included. Prerequisite: MATH 3354.
MATH 9999: Non-Topical Research
Credits: 1–12
The Mathematics Colloquium is held weekly, the sessions being devoted to research activities of students and faculty members, and to reports by visiting mathematicians on current work of interest. For doctoral dissertation, taken under the supervision of a dissertation director.