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  • MATH 7010

    Seminar on Research in Mathematics
     Rating

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     Difficulty

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     GPA

    3.83

    Last Taught

    Spring 2026

    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 7070

    Topics in Logic and Model Theory
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     Difficulty

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     GPA

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    Last Taught

    Spring 2026

    Covers topics in first order logic and model theory.

  • MATH 7310

    Real Analysis and Linear Spaces I
     Rating

    4.33

     Difficulty

    5.00

     GPA

    3.57

    Last Taught

    Spring 2026

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

  • MATH 7600

    Homological Algebra
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     Difficulty

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     GPA

    3.52

    Last Taught

    Spring 2026

    Examines categories, functors, abelian catqegories, limits and colimits, chain complexes, homology and cohomology, homological dimension, derived functors, Tor and Ext, group homology, Lie algebra homology, spectral sequences, and calculations. Prerequisite: MATH 5770.

  • MATH 7752

    Algebra II
     Rating

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     Difficulty

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     GPA

    3.37

    Last Taught

    Spring 2026

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

  • MATH 7800

    Algebraic Topology I
     Rating

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     Difficulty

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     GPA

    3.57

    Last Taught

    Spring 2026

    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 8380

    Random Matrices
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     Difficulty

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     GPA

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    Last Taught

    Spring 2026

    Discusses fundamental problems and results of the theory of random matrices, and their connections to tools of algebra and combinatorics: Wigner's semicircle law, free probability, Gaussian, circular, and beta ensembles of random matrices, bulk and edge asymptotics and universality, Dyson's Brownian motion, determinantal point processes, and discrete analogues of random matrix models. Prerequisite: MATH 7360 or instructor permission.

  • MATH 8630

    Algebraic Number Theory
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    Last Taught

    Spring 2026

    Theory of number fields and local fields, ramification theory, further topics as chosen by instructor.

  • MATH 8850

    Topics in Algebraic Topology
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     Difficulty

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     GPA

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    Last Taught

    Spring 2026

    Selected advanced topics in algebraic topology.

  • MATH 8851

    Group Theory
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     Difficulty

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     GPA

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    Last Taught

    Spring 2026

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