Maryna Viazovska

Study of structures and concepts that do not require the notion of continuity. Graph theory, or study of general countable sets are some of the areas that are covered by discrete mathematics. Emphasis will be laid on structures that the students will see again in their later studies.

Methods in Quantum Error Correction

CS-632

This course discusses mathematical methods of quantum error correction in the style via presentation and discussion of research papers. It covers basic algebraic and geometric properties of quantum error correcting codes and fault tolerance theory and prepares for research in this field.

Number theory II.b - Modular forms

MATH-511

In this course we will introduce core concepts of the theory of modular forms and consider several applications of this theory to combinatorics, harmonic analysis, and geometric optimization.

Riemann surfaces

MATH-410

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 algebraic curves.