2016 Classes

Here is an overview of our courses from this summer. You can read the class descriptions ("blurbs"), view the global schedule in a grid, or see all the classes sorted by category.

Read the 2016 Blurbs

View the 2016 Schedule

Here is the list of classes by subject:

Algebra

• Algebraic Groups
• Building Groups out of Other Groups
• Burnside's Lemma
• Domains and factorization: when everything goes wrong
• Field Extensions and Galois Theory
• Finitely-Generated Algebras
• From Matrices to Representations
• Geometric Group Theory
• Group Actions
• Harmonic Analysis on Abelian Groups
• Introduction to Group Theory
• Introduction to Ring Theory
• Linear Algebra
• More Group Theory!
• Multilinear Algebra
• Ponzi Schemes in Infinite Groups
• Random Groups
• Representation Theory of Finite Groups
• Systems of Polynomial Equations
• The Banach--Tarski Paradox
• The Banach--Tarski Paradox
• The Brauer Group
• The Cayley-Hamilton Theorem
• The Democracy of Number Systems
• The Lonely Torus - A Lie Group Opera
• The Magic of Determinants
• The Word Problem for Groups
• The Yoneda Lemma
• Twisty Puzzles are Easy
• Wedderburn's Theorem
• Colloquium: Intersecting Curves in the Plane

Analysis

• Asymptotics of Generating Functions
• Divergent Series
• Epsilons and Deltas
• Permuting Conditionally Convergent Series
• Scandalous Curves
• Wallis and His Product
• What Can We Exponentiate?
• dCalculus
• Colloquium: The Music of Zeta

Applied Math

• Benford's Law
• Computer-Aided Design
• Factoring With Elliptic Curves
• IOL 2016
• Mathcampers Show Presentations
• Natural Language Understanding
• Nonzero-Sum Games
• Period Three Implies Chaos
• Quantum Mechanics
• Special Relativity
• Statistical Modeling
• The Mathematical ABCs
• The Mathematics of Board Games
• The "Free Will" Theorem
• Colloquium: Elo x Education
• Colloquium: Should We Vote on How We Vote?
• Colloquium: Spin!

Combinatorics

• Almost Planar
• Calculus on Young's Lattice
• Card Shuffling
• Combinatorial Games
• Extending Inclusion-Exclusion
• Generating Functions and Partitions
• Graph Colorings
• Graph Minors
• Graph Polynomials
• Guarding an Art Gallery
• Harmonic Functions on Graphs
• Introduction to Graph Theory
• King Chicken Theorems
• Latin Squares and Finite Geometries
• Probably Combinatorics
• Random Graphs
• Random Graphs
• Spectral Graph Theory
• Spectral Graph Theory
• The Chip-Firing Game
• The Hales--Jewett Theorem
• The stable marriage problem
• Wythoff's Game
• de Bruijn Sequences
• Colloquium: Crossing Numbers of Graphs: Origins and Recent Progress
• Colloquium: Tree Trotting

Computer Science

• Advanced Topics in... Sorting?
• Functional Programming
• Hard problems that are almost easy
• Models of Computation Simpler than Programming
• Neural Networks

Geometry

• Building Mathematical Structures
• Building Mathematical Structures
• Cut That Out!
• Dynamical Systems
• Hyper-Dimensional Geometry
• Hyperbolic Geometry
• Many Cells Separating Points
• Projective Geometry
• Spin: Numbers as Rotations
• The Hadwiger-Nelson Problem
• Universal Properties
• Colloquium: A simple question with a very curious answer
• Colloquium: Algebraic Proof of Heron's formula
• Colloquium: There Are Eight Flavors of Three-Dimensional Geometry
• Colloquium: Tropical Geometry

History/Literature

• Egyptian Fractions
• History of Math
• Math and Literature
• Turning Points in the History of Mathematics
• Why Are We Learning This? A seminar on the history of math education in the U.S..

Logic/Set Theory

• How Not to Prove the Continuum Hypothesis
• Mathcamp Crash Course
• Model Theory
• Stupid Games on Infinite Sets
• Sum and Product Puzzles
• Colloquium: Oops! I Ran Out of Axioms
• Colloquium: The Littlewood-Offord Problem

Number Theory

• A Very Difficult Definite Integral
• Algebraic Number Theory
• Analytic Number Theory
• Huuuge Primes
• Multiplicative Functions
• Pythagorean Triples, Diophantine Equations and Fermat's Last Theorem
• Quadratic Reciprocity
• The BSD conjecture
• Colloquium: Ron Graham's Sequence

Probability/Statistics

• A Crash Course in Axiomatic Probability
• Does ESP Exist? or, What's Wrong With Statistics?
• Paradoxes in Probability
• Why Aren't We Learning This: Fun Stuff in Statistics

Problem Solving

• More Problem Solving: Polynomials
• Problem Solving: Induction
• Problem Solving: Polynomials
• Problem Solving: Symmetry, Parity, and Invariants
• Problem Solving: Tetrahedra
• Problem Solving: Triangle Geometry

Topology

• A Tale of Combs and Hedgehogs
• A Tale of Combs and Hedgehogs
• Cutting Surfaces into Silly Straws
• Homotopy (Co)limits
• K-Theory
• Knot Theory
• Point-Set Topology
• String Theory
• The Fundamental Group
• The Hairy and Still Lonely Torus
• The Topology and Geometry of Surfaces
• Colloquium: Lattices, Knots and Chaos