2013 Classes
Here is an overview of our courses from this summer. You can also see a grid version of the 2013 global schedule.
Algebra
- Commutative Algebra
- From Linear Algebra and Group Theory to the Hydrogen Atom
- Group Theory
- Linear Algebra
- Matrix Groups
- Multilinear Algebra
- Polynomial Method
- Representation Theory of Finite Groups
- Representations of the Symmetric Group
- Ring Theory
- Symmetric Polynomials and Schubert Calculus
- Trail Mix day 3: Intersection madness
Analysis
- Epsilon the Enemy
- Functions of a Complex Variable
- Harmonic Analysis
- Hyperreal Analysis
- Metric Spaces
- Multivariable Calculus Crash Course
- On the Controversy Between Messrs. Leibniz and Bernoulli Concerning Logarithms of Negative and Imaginary Numbers
- The Bear Catch-A-Berry Theorem
- Trail Mix day 2: Integration by parts and the Wallis product
Applied Math
- A Taste of Chaos
- Auction Theory
- Communication Complexity
- Elections: Influence and Stability
- Google Advertising
- Learning as Program Synthesis
- Permutation Groups, Coxeter Algebras & SUSY
- Spacetime Supersymmetries
- Spread in Networks: Containing the Harmful, Encouraging the Virtuous.
- Using Linear Algebra
- Voting Theory
Combinatorics
- (Th)ink Again
- 4.99 Color Theorem
- A Tale of 3 Knot Invariants
- Chip Firing, Sandpiles, and all that Jazz!
- Chip-firing and Riemann-Roch
- Combinatorial Game Theory
- Combinatorics of Partitions
- Counting
- Finding the Perfect Match
- Flows
- Introduction to Graph Theory
- Partially Ordered Sets
- Partizan Game Theory
- Permutations and Bruhat orders
- The Graph Minor Theorem
- The John Conway Hour
- The Probabilistic Method
- Vanning Trees
Computer Science
- (Th)ink Machine
- Cryptography
- Finding the Center
- Machine Learning
- Many Campers Sort Piles
- PRIMES in P
- Extreme Probability!
- Programming in Haskell
- Quantum Computing
- Root-Finding Algorithms
- Simple Models of Computation
- The Forehead Game: Multiparty Communication Complexity
- The Traveling Salesman and Friends
Geometry and Topology
- Curvature of Polyhedra
- Cut That Out!
- Euler's Greatest Hits
- Flag Varieties
- Fractal Geometry
- Geometry is Awesome, Dude!
- Hilbert's Geometries
- Inside Convexity
- Mathematical Origami
- Mathematical Sculpture
- Not Just Scratching the Surface: Cohomology and Topology of Surfaces
- Surfaces and Symmetries
- The Cross-ratio
Logic/Set Theory
- Category Theory
- Crash Course on Mathematical Abstraction
- How not to prove the continuum hypothesis
- Reverse Mathematics
- Set Theory
- The Category of Sets
- The Littlewood-Offord Problem
- Ultrafilters and Hindman's Theorem
Number Theory
- Algebraic Number Theory
- Continued Fractions
- Introduction to Number Theory
- Trail Mix day 1: Perfect Numbers
- Trail Mix day 4: Hensel's Brave New World
Problem Solving
- Problem Solving: Polynomials
- Proofs and Problem Solving
