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Updated in [August 13th, 2023]

Skills and Knowledge Acquired:
By taking this course, students will acquire knowledge and skills related to Riemann surfaces and their applications in integrable systems. Specifically, students will learn about the theory of Riemann surfaces and how they can be used to solve problems from geometry and integrable models of mathematical physics, such as the Korteweg-de Vries equation. Additionally, students will gain an understanding of how Riemann surfaces and their degenerations in singular algebraic curves can be used to solve problems from geometry and integrable models of mathematical physics.


Contribution to Professional Growth:
This course contributes to professional growth by providing an in-depth understanding of Riemann surfaces and their applications in integrable systems. Through this course, students will gain a better understanding of the theory of Riemann surfaces and how they can be used to solve problems from geometry and integrable models of mathematical physics. Additionally, students will gain a better understanding of the Korteweg-de Vries equation and its application in describing solitons. This course will provide students with the necessary knowledge and skills to apply Riemann surfaces and their applications in their professional work.


Suitability for Further Education:
This course is suitable for preparing further education as it provides an in-depth understanding of Riemann surfaces and their applications in integrable systems. It covers topics such as the Korteweg-de Vries equation, solitons, and singular algebraic curves, which are all important for further study in mathematics and mathematical physics.

Course Syllabus

Riemann surfaces and their applications in integrable systems