MERLOT Materials

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This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear... see more

This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields,... see more

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and... see more

In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject... see more

This is a seminar for mathematics majors, where the students present the lectures. No prior experience giving lectures is... see more

This is a seminar for mathematics majors, where the students present the lectures. No prior experience giving lectures is... see more

In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem,... see more

In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem,... see more

This is a new course, whose goal is to give an undergraduate-level introduction to representation theory (of groups, Lie... see more

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It... see more

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field. It... see more

This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together... see more

This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together... see more

The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic... see more

The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic... see more

The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying... see more

The topics for this course vary each semester. This semester, the course aims to introduce techniques for studying... see more

Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts:... see more

This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text... see more

This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text... see more

This course will give a detailed introduction to the theory of tensor categories and review some of its connections to... see more

This course will give a detailed introduction to the theory of tensor categories and review some of its connections to... see more