2014 Classes
Here is an overview of our courses from this summer. You can also see a grid version of the 2014 global schedule.
Algebra
- Algebra in Higher Dimensions
- Counting Conics
- Cubic curves
- Elliptic functions
- Galois theory
- Group Theory
- Introduction to Ring Theory
- Linear Algebra
- Quaternion Algebras
- Sylow Theorems
- The Banach–Tarski Paradox
- Tilings, Groups, and Orbifolds
- Universal algebra
Analysis
- Complex Analysis
- Discrete Derivatives
- Irrationalia
- Real Analysis
- Scandalous Curves
- The Intermediate Value Theorem and Chaos
Applied Math
- Bayesian Statistics
- Compressed Sensing
- Linear and nonlinear systems of differential equations
- Probability and the Mind
- Quantum Mechanics in Pictures
- Reasoning about knowledge and uncertainty, with a bit of game theory
- The Bell Curve
- The Laws of Thought
- The Math of Magic
- Voting theory
Combinatorics
- A Tale of Knots and Games
- Combinatorial Game Theory
- Electrical Networks and Graphs
- Generating Functions, Partitions, and Catalan Numbers
- Graph Coloring
- Intro to Graph Theory
- Knot Theory
- Latin Squares
- NP-Completeness and Latin Squares
- Partitioning
- Random Graphs
- See-Saw Swap Solitaire and Other Games on Permutations
- The Hales–Jewett Theorem
- The Internet
- The John Conway Hour
- Colloquium: John Conwaay
- The story of ranks and cranks of partitions
Computer Science
- (Th)ink Machine
- Error-Correcting Codes
- Evasiveness
- Grading Proofs Made Easy: Probabilistically Checkable Proofs of Proximity
- How Fast Can We Multiply?
- Knowledge and common knowledge in multi-agent systems
- Models of Computation Simpler than Programming
Geometry
- Finite Geometries
- Fractal Zoo
- Geometry of Groups
- Geometry of Numbers
- Möbius Transformations and The Night Sky (or, an Ape Pointing At The Stars)
- The Geometry of Spacetime
Logic/Set Theory
- A Hat Problem
- Category Theory
- Goedel's incompleteness theorem
- Hydras
- Infinite Trees
- Mathcamp Crash Course
- On beyond i
- The Continuum Hypothesis
Number Theory
- A quick introduction to number theory
- Analytic Number Theory
- Bernoulli Numbers
- Congruent numbers and elliptic curves
- Polynomial Fermat's Last Theorem
- Pythagorean Triples and Unsolvable Equations
- Sieves!
- The Chebyshev Prime Number Theorem
- Through the eyes of a prime: An introduction to p-adic numbers
- When Factoring Goes Wrong
Problem Solving
- Problem Solving: Geometry
- Problem Solving: Number Theory
- Problem Solving: Polynomials
- Problem Solving: The Probabilistic Method
Topology
- Combinatorial Topology
- Dance of the astonished topologist
- How to cut a Sandwich
- Point-set topology
- Sperner's Lemma
