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.

An image of the blurbs describing 2016 Classes

Read the 2016 Blurbs

An image of the grid displaying 2016 Classes

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