Mathematics Degrees in the USA

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...1.5 hours / session The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras... Learn about: GCSE Mathematics...

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

...K. Stein and S. Szabó. I hope to cover some of these topics in class. Graham, R. L., M. Grötschel, and L. Lovász, eds. Handbook of Combinatorics...

...cateogries Multifusion rings Frobenius-Perron theorem Tensor categories Deligne's tensor product Finite (multi)tensor categories Categorical freeness Distinguished...

...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: GCSE Physics, Mathematical Physics...

...and explains things in a lot more detail than NZM, so it could be helpful if you haven't seen proofs before. It's also pretty comprehensive...

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...Cambridge University Press, 1999. ISBN: 9780521653749. [Preview with Google Books] Silverman, Joseph H., and John Torrence Tate. Rational Points on Elliptic Curves...

...This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class Field Theory via Hilbert symbols...

...which will be based almost entirely on the exercises. I guarantee that the exams will do a good job of determining to what extent you have mastered the exercises... Learn about: GCSE Mathematics...

...at the heart of many of recent breakthoughs and current programs of research, including the modularity theorem, the Sato-Tate theorem, the Riemann hypothesis... Learn about: GCSE Mathematics...

...This course is a seminar in topology. The main mathematical goal is to learn about the fundamental group, homology and cohomology. The main non-mathematical...

...I will go through the proofs of the more important theorems in class, and maybe some extra material (for instance, proofs omitted in the book)...

...and Poincare duality. There are lots of textbooks that treat algebraic topology more or less at the level of this course. Bredon, Glen E. Topology and Geometry... Learn about: GCSE Mathematics...

...Hatcher. Algebraic Topology. Cambridge, New York, NY: Cambridge University Press, 2002. ISBN: 052179160X. (Available online.) May. A Concise Course in Algebraic Topology...

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