Advanced linear algebra II

The purpose of this course is to introduce the basic notions of linear algebra and to prove rigorously the main results of the subject.

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Riemann surfaces

This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebrai...

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Arithmetic of elliptic curves

The arithmetic of elliptic curves is an area of modern number theory which studies properties of points on elliptic curves over various fields. Due to the relative simplicity, this subject has been well studied and many patterns and regularities have been...

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