Mathematics Postgraduate Degrees in the USA

...The purpose of this course is to provide a mathematically rigorous introduction to these developments with emphasis on methods and their analysis... Learn about: GCSE Mathematics...

...Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using... Learn about: GCSE Mathematics...

...Bickel, Peter J., and Kjell A. Doksum. Mathematical Statistics: Basic Ideas and Selected Topics, Volume 1. 2nd edition. Chapman and Hall /... Learn about: Confidence Training...

...length, Artin rings, Hilbert polynomials, tensor products, and dimension theory. Algebra I (18.701) and Algebra II (18.702) Reid, Miles. Undergraduate Commutative Algebra...

...The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic...

...Barth, Wolf P., Klaus Hulek, Chris A. M. Peters, and Antonius Van de Ven. Compact Complex Surfaces. 2nd ed. Berlin, Germany: Springer,...

...but it should consist of more than paraphrasing from a single source. There should be a bibliography with at least two references. You can choose any topic...

...of the notion of a set. Further, monoidal categories categorify monoids, and tensor categories (i.e., monoidal categories with a compatible additive structure)...

...or to teach others. We don't offer credit or certification for using OCW. Made for sharing . Download files for later. Send to friends and colleagues... Learn about: Mathematical Physics, GCSE Physics...

...(Calculus in Several Variables) would be useful and some familiarity with topological groups is also helpful. There are no scheduled tests and no final...

...S. Milne. Stewart, Ian, and David Orme Tall. Algebraic Number Theory and Fermat's Last Theorem. A. K. Peters / CRC Press, 2001. ISBN: 9781568811192...

...More advanced topics in number theory are discussed in this course, such as Galois cohomology, proofs of class field theory, modular forms and automorphic forms...

...the main theorems of local and global class field theory. In the second semester I plan to cover Artin representations, modular forms, and L-functions... Learn about: GCSE Mathematics...

...Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using...

...and Poincare duality. Lectures: 2 sessions / week, 1 hour / session 18.701 Algebra I or 18.703 Modern Algebra; and 18.901 Introduction to Topology Familiarity... Learn about: GCSE Mathematics...

...Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning...

...Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning... Learn about: Professor Training...

...A working knowledge of modern algebraic topology will be assumed, but all of the calculational machinery (such as the Steenrod algebra) will be constructed from scratch...

...covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates...

...MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration...