This course introduces students to selected aspects of geometry and topology, using concepts that can be visualized easily.

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

The research interest of this group covers geometric analysis as well as symplectic topology and its role in mirror symmetry, low dimensional topology and gauge ...

The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about ...

Продолжительность: 39:49
Опубликовано: 24 сент. 2019 г.

This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry. Lecture Notes · Syllabus · Assignments

This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds.

MIT Mathematics courses available online and for free.

The main goal of this course is to present the basic ideas of quantum field theory (QFT) in a completely rigorous and mathematical way. Syllabus · Lecture Notes · Calendar · Homework

This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, ...