Please refer to SIS or Lou’s list for details about current instructors and current enrollment numbers.

`MATH 7000`

This seminar discusses the issues related to research in Mathematics. There are speakers from the different areas of mathematics represented at the University of Virginia. Credit may not be used towards a Master's degree. Prerequisite: Graduate standing in mathematics.

`MATH 7250`

`MATH 7305`

Introduces measure and integration theory. Prerequisite: MATH 5310 or equivalent.

`MATH 7320`

`MATH 7340`

`MATH 7360`

`MATH 7370`

`MATH 7410`

`MATH 7420`

An introduction to classical mechanics, with topics in statistical and quantum mechanics, as time permits. Prerequisite: MATH 5310.

`MATH 7559`

`MATH 7600`

`MATH 7705`

`MATH 7751`

Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.

`MATH 7753`

`MATH 7754`

`MATH 7755`

Topics include the fundamental group, covering spaces, covering transformations, the universal covering spaces, graphs and subgroups of free groups, and the fundamental groups of surfaces. Additional topics will be from homology, including chain complexes, simplicial and singular homology, exact sequences and excision, cellular homology, and classical applications. Prerequisite: MATH 5352, 5770, or equivalent.

`MATH 7810`

`MATH 7820`

Examines fiber bundles; induced bundles, principal bundles, classifying spaces, vector bundles, and characteristic classes, and introduces K-theory and Bott periodicity. Prerequisite: MATH 7800.

`MATH 7840`

`MATH 8250`

Topics in the theory of operators on a Hilbert space and related areas of function theory.

`MATH 8320`

`MATH 8360`

`MATH 8380`

`MATH 8410`

`MATH 8450`

`MATH 8559`

The foundations of commutative algebra, algebraic number theory, or algebraic geometry.

`MATH 8620`

`MATH 8630`

`MATH 8700`

`MATH 8710`

`MATH 8720`

Studies regular and critical values, gradient flow, handle decompositions, Morse theory, h-cobordism theorem, Dehn's lemma in dimension 3, and disk theorem in dimension 4. Prerequisite: Math 5770.

`MATH 8850`

Studies the basic structure theory of groups, especially finite groups.

`MATH 8852`

Covers methods of abstract algebra that can be applied to various combinatorial problems and combinatorial methods to approach problems in representation theory, algebraic geometry, and homological algebra.

`MATH 8855`

`MATH 8880`

Thesis

`MATH 8998`

`MATH 8999`

`MATH 9000`

`MATH 9010`

`MATH 9020`

Harmonic Analysis and PDEs seminar

Operator Theory Seminar

Probability Seminar

Galois-Grothendieck Seminar

Mathematical Physics Seminar

`MATH 9559`

Topology Seminar

Discusses subjects from geometry.

Algebra Seminar

Independent Research

`MATH 9998`

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.

Studies the evolution of the various mathematical ideas leading up to the development of calculus in the 17th century, and how those ideas were perfected and extended by succeeding generations of mathematicians. Emphasizes primary source materials. Prerequisite: MATH 2310 and 3351, or instructor permission.

`MATH 5030`

`MATH 5100`

`MATH 5250`

`MATH 5305`

`MATH 5330`

`MATH 5559`

Topics selected from analytic, affine, projective, hyperbolic, and non-Euclidean geometry. Prerequisite: MATH 2310, 3351, or instructor permission.

`MATH 5720`

`MATH 5770`

`MATH 5855`

`MATH 5896`

`MATH 6060`

`MATH 6120`

`MATH 6452`

`MATH 6453`

`MATH 6454`

`MATH 6559`

`MATH 6600`

`MATH 6630`

`MATH 6650`

`MATH 6660`

`MATH 6670`

`MATH 6700`

`MATH 6760`

`MATH 6800`