2012 Classes
Here is an overview of our courses from this summer. You can also see a grid version of the 2012 global schedule.
Algebra
- Constructible Numbers
- Field Extensions and Galois Theory
- Finite Fields
- Geometry of Surfaces
- Introduction to Group Theory
- Invariant Theory
- Linear Algebra
- Multilinear Algebra
- Representation Theory
- Ring Theory
- Typing with Weird Keyboards
- Unmultiplication
Analysis
- Asymptotics
- Complex Variables
- Epsilon the Enemy
- Geometric Mapping Theory
- Multivariable Calculus Crash Course
- The Line Without a Length
- The Shape of Infinity
- Things That Will Make You Unhappy
- Vibrations, Waves, Diffusion
- Colloquium: Quaternions in Everyday Life
Applied Math
- Modelling (An Introduction to Differential Equations)
- Musical Orbifolds
- Quantum Mechanics
- Randomness
- Voting Theory
- Colloquium: Cooperation, Evolution, and Theories of Mind
- Colloquium: Discovery of the Higgs Boson
Combinatorics
- Caps in the Game SET
- Combinatorial Games
- Crossing Numbers, from 1954 to 2012
- Introduction to Graph Theory
- Knot Theory
- Latin Squares
- Obstacle Numbers of Graphs
- Proof of the 4 Color Theorem
- Quasirandom Graphs
- Ramsey Theory
- Summing Series
- The Alternating Sign Matrix Theorem
- The Alternating Sign Matrix Zoo
- The Dragon Marriage Condition
- The John Conway Hour
- The Probabilistic Method
- What is Grünbaum's Conjecture?
- Colloquium: Parking Functions & Hyperplane Arrangements
Computer Science
- Five Programming Languages in Ten Days
- Lambda Calculus
- Many Campers Sort Piles
- Colloquium: The Controversy Around the Church–Turing Thesis
Geometry
- Fractals
- Polytopes
- The Real Projective Plane
- Colloquium: Hearing the Geometry of a Manifold: an Introduction to the Inverse Spectral Problem
- Colloquium: How to Avoid Being Eaten by Bears... in Space!
- Colloquium: Imaginary numbers (aren't they all?)
Logic/Set Theory
- Computability Theory
- Metric Spaces (of Metric Spaces!)
- Model Theory
- Proof Techniques
- Schemes
- Set Theory: Axioms and Models
- Set Theory: Counting the Uncountable
- The Category of Sets
- The Continuum Hypothesis
- Colloquium: Blocking Light
- Colloquium: Computability of Linear Orderings on Groups
Number Theory
- Introduction to Number Theory
- Rational Numbers . . . in Space! (Or, Diophantine approximations via geometry)
- Shall We Count?
- Unique Factorization and Fermat's Last Theorem
- Colloquium: Counting Solutions of Polynomial Equations Modulo $p$
- Colloquium: Numbers of the form x3 + y3 modulo p
Problem Solving
- Problem Solving: Inequalities
- Problem Solving: Polynomials
- The AMC Game
Topology
- The Classification of Surfaces
- The Fundamental Group
- Topology Your Friend
- Colloquium: The Fundamental Group
