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...(with a focus on representation-theoretic applications). In particular, we will discuss categorifications of such notions from ring theory...

...and many proofs are omitted or sketched; we explain in detail only those proofs which can be understood in class and are instructive. We also try to focus on explicit examples... Learn about: Mathematical Physics, GCSE Physics...

...diophantine equations, irrational numbers, continued fractions, and partitions. Lectures: 2 sessions / week, 1.5 hours / session This course is an elementary...

...motivation of the definition of a Lie group we shall develop basic manifold theory, vector fields, tangent spaces leading to the Exponential mapping for an affine connection...

...An Introduction to Algebraic Geometry. This book is available for free on Fulton's website. Milne, J. S. Elliptic Curves. BookSurge Publishers...

...as well as any resources you used that are not listed above; there will be computational problems for which the correct answer will be different for every student...

...in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum...

...writing a thesis can testify). These exercises are not to be handed in for grading. Instead, your knowledge of the exercises will be determined by the exams... Learn about: GCSE Mathematics...

...points in the course we will make reference to standard material from many other branches of mathematics, including topology, complex analysis... Learn about: GCSE Mathematics...

...and the other student lecturing in the same class as you. Each lecturer will give one or two exercises relevant to the material being presented...

...As usual, you are encouraged to work on the homework in groups, but you must write up your own solutions, and I would like you to specify on your homework...

...Cambridge University Press, 2001. ISBN: 9780521791601. (Chatty) May, J. Peter. A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series)... Learn about: GCSE Mathematics...

...cobordism, and possible further topics at the discretion of the instructor. Lectures: 3 sessions / week, 1 hour / session Algebraic Topology I (18...

...*About one-third of the practice talks were included in the course calendar; students scheduled the remaining two-thirds independently. Don't show me... Learn about: Professor Training...

...1 hour / session Let G be a finite p-group acting on a nice topological space X. The Sullivan conjecture asserts that the p-adic homotopy type of the fixed...

...Spivak, Michael. A Comprehensive Introduction to Differential Geometry. Vol. 2. Boston, MA: Publish or Perish, 1999. ISBN: 9780914098713. Spivak...

...be using ideas from differential topology and differential geometry up to speed on these topics. Below is list of some of the highlights of the first semester...

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

...They have to be written to show that the scribe understands the material. Please use the following LaTeX package to prepare the notes Students will... Learn about: Communication Training...

...Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140. Lectures: 2 sessions / week, 1.5 hours / session In this course... Learn about: GCSE Mathematics...