# Other Courses

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## Mathematics

#### Number Theory

Arithmetic Geometry
Arithmetic of Elliptic Curves
L-functions
Riemann Zeta function
Sieve Theory
Prime Number Theory
Multiplicative Number Theory
Probabilistic Number Theory
Exponential Sums
Circle Method
Number Fields
Geometry of Numbers
Galois Theory
Class Field Theory
Complex Multiplication
Transcendental Number Theory
Computational Number Theory
Elementary Number Theory

#### Automorphic Forms

Modular Forms
Eisenstein Series
Spectral Theory
Arithmetic Groups
Higher Rank Groups

#### Analysis

Harmonic Analysis
Functional Analysis
Analysis of PDE
Differential Equations
Complex Analysis
Spectral Theory

#### Probability

Basic Probability
Stochastic Processes
Random Matrix Theory
Brownian Motion
Markov Chains

#### Algebra

Group Theory
Rings and Modules
Representation Theory
Lie Algebra
Commutative Algebra
Homological Algebra
K-Theory
Quaternion Algebras
Invariant Theory

#### Algebraic Geometry

Algebraic Curves
Riemann Surfaces
Elliptic Curves
Abelian Varieties
Schemes
Intersection Theory
Algebraic Groups
Moduli Spaces

#### Combinatorics

Arithmetic Combinatorics
Graph Theory
Spectral Graph Theory
Random Graphs
Extremal Combinatorics
Probabilistic Combinatorics
Polynomial Method
Discrete Geometry
Set systems and Designs
Discrepancy Theory
Finite Fields
Matroids

#### Geometry

Riemannian Geometry
Symplectic Geometry
Lie Groups
Complex Geometry
Convex Geometry
Curves and Surfaces
Hyperbolic Geometry

#### Topology

Three Manifolds
Differential Topology
Algebraic Topology
Knot Theory
Low-Dimensional Topology

#### Dynamical Systems

Ergodic Theory
Chaos and Bifurcation

#### Set Theory and Logic

Set Theory
Infinitary Combinatorics
Introduction to Mathematical Logic
Model Theory Proof Theory Computability and Randomness

#### Numerical Analysis

Numerical Linear Algebra
Numerical ODE
Numerical PDE

#### Statistics

Statistical Theory
Statistical Learning
Stein's Method
Applied Statistics
Information Theory

#### Computational Mathematics

Computational Number Theory
Computational Algebraic Geometry
Computational Invariant Theory