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Cours associés (23)
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This is an introduction to modern algebra: groups, rings and fields.
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Ring and module theory with a major emphasis on commutative algebra and a minor emphasis on homological algebra.
MATH-417: Number theory II.b - selected topics
This year's topic is "Additive combinatorics and applications." We will introduce various methods from additive combinatorics, establish the sum-product theorem over finite fields and derive various a
MATH-211: Algebra II - groups
This course deals with group theory, with particular emphasis on group actions and notions of category theory.
MATH-488: Topology IV.a -Algebraic K-theory
Algebraic K-theory, which to any ring R associates a sequence of groups, can be viewed as a theory of linear algebra over an arbitrary ring. We will study in detail the first two of these groups and a
MATH-494: Topics in arithmetic geometry
P-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applic
MATH-662: Perfectoid spaces
The course is about defining perfectoid spaces, and possibly presenting some applications.
MATH-489: Number theory II.c - Cryptography
The goal of the course is to introduce basic notions from public key cryptography (PKC) as well as basic number-theoretic methods and algorithms for cryptanalysis of protocols and schemes based on PKC
MATH-482: Number theory I.a - Algebraic number theory
Algebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like alg