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This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic...
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Date Added: May 12, 2016 Date Modified: May 12, 2016

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Select this link to open drop down to add material 18.785 Number Theory I | Mathematics to your Bookmark Collection or Course ePortfolio

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This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and...
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Date Added: May 12, 2016 Date Modified: May 12, 2016

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Select this link to open drop down to add material 18.782 Introduction to Arithmetic Geometry | Mathematics to your Bookmark Collection or Course ePortfolio

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This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other...
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Date Added: May 12, 2016 Date Modified: May 12, 2016

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Select this link to open drop down to add material 18.769 Topics in Lie Theory: Tensor Categories | Mathematics to your Bookmark Collection or Course ePortfolio

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This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for...
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Select this link to open drop down to add material 18.755 Introduction to Lie Groups | Mathematics to your Bookmark Collection or Course ePortfolio

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Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts:...
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Select this link to open drop down to add material 18.735 Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics | Mathematics to your Bookmark Collection or Course ePortfolio

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The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying...
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Select this link to open drop down to add material 18.727 Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces | Mathematics to your Bookmark Collection or Course ePortfolio

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The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic...
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Select this link to open drop down to add material 18.727 Topics in Algebraic Geometry: Algebraic Surfaces | Mathematics to your Bookmark Collection or Course ePortfolio

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This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with...
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Select this link to open drop down to add material 18.726 Algebraic Geometry | Mathematics to your Bookmark Collection or Course ePortfolio

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This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It also...
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Date Added: May 12, 2016 Date Modified: May 12, 2016

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Select this link to open drop down to add material 18.725 Algebraic Geometry | Mathematics to your Bookmark Collection or Course ePortfolio

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In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem,...
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Select this link to open drop down to add material 18.705 Commutative Algebra | Mathematics to your Bookmark Collection or Course ePortfolio

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