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81 - 90 of 92 results for: MATH ; Currently searching offered courses. You can also include unoffered courses

MATH 263C: Topics in Representation Theory

May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: Bump, D. (PI)

MATH 271: The H-Principle

The language of jets. Thom transversality theorem. Holonomic approximation theorem. Applications: immersion theory and its generaliazations. Differential relations and Gromov's h-principle for open manifolds. Applications to symplectic geometry. Microflexibility. Mappings with simple singularities and their applications. Method of convex integration. Nash-Kuiper C^1-isometric embedding theorem.
Terms: Win | Units: 3

MATH 272: Topics in Partial Differential Equations

Terms: Aut | Units: 3 | Repeatable for credit

MATH 282A: Low Dimensional Topology

The theory of surfaces and 3-manifolds. Curves on surfaces, the classification of diffeomorphisms of surfaces, and Teichmuller space. The mapping class group and the braid group. Knot theory, including knot invariants. Decomposition of 3-manifolds: triangulations, Heegaard splittings, Dehn surgery. Loop theorem, sphere theorem, incompressible surfaces. Geometric structures, particularly hyperbolic structures on surfaces and 3-manifolds. May be repeated for credit up to 6 total units.
Terms: Aut | Units: 3 | Repeatable for credit

MATH 282B: Homotopy Theory

Homotopy groups, fibrations, spectral sequences, simplicial methods, Dold-Thom theorem, models for loop spaces, homotopy limits and colimits, stable homotopy theory. May be repeated for credit up to 6 total units.
Terms: Spr | Units: 3 | Repeatable for credit

MATH 282C: Fiber Bundles and Cobordism

Possible topics: principal bundles, vector bundles, classifying spaces. Connections on bundles, curvature. Topology of gauge groups and gauge equivalence classes of connections. Characteristic classes and K-theory, including Bott periodicity, algebraic K-theory, and indices of elliptic operators. Spectral sequences of Atiyah-Hirzebruch, Serre, and Adams. Cobordism theory, Pontryagin-Thom theorem, calculation of unoriented and complex cobordism. May be repeated for credit up to 6 total units.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: Galatius, S. (PI)

MATH 283A: Topics in Topology

Terms: Win | Units: 3
Instructors: Galatius, S. (PI)

MATH 298: Graduate Practical Training

Only for mathematics graduate students. Students obtain employment in a relevant industrial or research activity to enhance their professional experience. Students submit a concise report detailing work activities, problems worked on, and key results. May be repeated for credit up to 3 units. Prerequisite: qualified offer of employment and consent of department. Prior approval by Math Department is required; you must contact the Math Department's Student Services staff for instructions before being granted permission to enroll.
Terms: Aut, Win, Spr, Sum | Units: 1 | Repeatable for credit
Instructors: Ryzhik, L. (PI)

MATH 355: Graduate Teaching Seminar

Required of and limited to first-year Mathematics graduate students.
Terms: Spr | Units: 1

MATH 360: Advanced Reading and Research

Terms: Aut, Win, Spr, Sum | Units: 1-10 | Repeatable for credit
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