2018 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 2018 Blurbs

View the 2018 Schedule

Here is the list of classes by subject:

Algebra

• Commutative Algebra and Algebraic Geometry
• Cyclotomic Polynomials and Migotti's Theorem
• Galois Theory
• Group Theory
• Intro Ring Theory
• Linear Algebra
• Spectral Graph Theory
• Visualizing Groups
• Wedderburn's Theorem
• What is a "Sylow" anyways?
• Would I ever Lie Group to you?
• Wreath Products

Analysis

• Calculus without Calculus
• Chaotic? Good!
• Continued Fraction Expansions and e
• Convergence Issues; or: Monsters in Real Analysis
• Elliptic functions
• Infinitesimaller Calculus: Sequences, Integrals, and Democracy
• Irrationality Proofs
• One-Day Complex Analysis
• Oversize Airline Luggage
• What should integration be?
• Colloquium: The Most Beautiful Equation in Math

Applied Math

• Axiomatic Music Theory part 2: Rhythm
• Game Theory (The Economic Variety)
• How to Get Away from Dead Guys
• Infections, contractions, and tumors, Oh My! Agent Based Modeling of Biological Systems.
• Mathematica Workshop
• Mathematics of Democracy
• Nonzero-sum games
• Special Relativity
• The Maths of Peppa Pig
• The Quantum Spring
• Colloquium: How to Win the Lottery
• Colloquium: Is Mathematics Biology's Next Microscope?
• Colloquium: Quantum Mathematicians

Combinatorics

• A Slice of PIE
• An Introduction to q-Analogues
• Combinatorial Designs
• Combinatorial Game Theory
• Combinatorial Poetry
• Cycles in permutations
• Divisor Theory of Graphs
• Generating Functions, Catalan Numbers, and Partitions
• Graph Minors
• How to Juggle
• Intersecting polynomials
• Intro Graph Theory
• King Chicken Theorems
• Latin Squares and Finite Geometries
• Partially Ordered Sets
• The Stable Marriage Problem
• de Bruijn Sequences
• Colloquium: The Threshold Density Theorem
• Colloquium: What is a q-analog?

Computer Science

• Curse of Dimensionality
• Hardness
• Haskell
• Information Theory and the Redundancy of English
• Simple Models of Computation
• Teaching Computers to Read
• The Art of Live-TeXing
• Colloquium: Building machines that learn and think like people

Geometry

• Axiomatic Geometry
• DIY Hyperbolic Geometry
• Hilbert's Paper, Scissors, and Rock
• Triangulations and Flip-Graphs
• Tropical Plane Curves
• Yes, you can square the circle
• Yes, you can trisect angles
• Colloquium: Dynamical Limits: Sometimes a Picture is Worth Zero Words

History, Literature, and Education

• History of Math
• Mathematical Art History
• Colloquium: Accidental Mathematics
• Colloquium: Change of Perspective in Mathematics

Logic/Set Theory

• Crash Course
• Minus Choice, Still Paradoxes
• Stupid Games on Uncountable Sets
• The Continuum Hypothesis
• Colloquium: Not the Continuum Hypothesis

Number Theory

• Dirichlet's Theorem on Primes a mod b
• Galois Theory and Number Theory
• Intro Number Theory
• Quadratic reciprocity

Probability/Statistics

• Probability & Paradoxes
• Shuffling and Card Tricks

Problem Solving

• A Mathematician's Perspective on the World
• ARML Power Rounds
• Problem Solving: Tetrahedra
• Problem-Solving: The Just Do It method
• Street Fighting Mathematics
• Colloquium: Two equals one: Street-fighting mathematics and science for better teaching and thinking

Topology

• Combinatorial Topology
• Differential Topology
• Higher Homotopy Groups
• Knot Theory
• Low-Dimensional Zoology
• The Fundamental Group
• Uranus has at least 2 storms
• Colloquium: A hex on your fixed points!