# MERLOT Materials

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This course introduces the basic computational methods used to understand the cell on a molecular level. It covers... see more

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics... see more

This course provides an introduction to the theory and practice of quantum computation. Topics covered include: physics... see more

This course provides a broad treatment of statistics, concentrating on specific statistical techniques used in science... see more

This course offers a broad treatment of statistics, concentrating on specific statistical techniques used in science and... see more

This course is an introduction to Markov chains, random walks, martingales, and Galton-Watsom tree. The course requires... see more

This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around 1945 and... see more

The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms... see more

This graduate level mathematics course covers decision theory, estimation, confidence intervals, and hypothesis testing.... see more

Broadly speaking, Machine Learning refers to the automated identification of patterns in data. As such it has been a... 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

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

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

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

This course is an introduction to arithmetic geometry, a subject that lies at the intersection of algebraic geometry and... see more

This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and... see more

This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers,... see more