2017 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.
Here is the list of classes by subject:
Algebra
- Banach-Tarski
- Classification of Subgroups of GL2(Fq)
- Crash course on Representation theory
- Division Rings
- Finite Fields
- Finite "Sets"
- Galois Theory Crash Course
- Group Theory
- How Not To Prove That a Group Isn't Sofic
- Linear Algebra
- Many Clubs Share People
- Planar Algebras
- Pseudo-Telepathy via Representation Theory of Finite Groups
- Quadratic Field Extensions
- Quandles
- Ring Theory
- Simplicity itself: An and the "other" An
- Solving cubic and quartic equations without the mess
- Topological groups
- Unique Factorization Domains
- Colloquium: Algebra and the Internal GPS
- Colloquium: Twenty-Seven Lines
Analysis
- Advanced Complex Analysis
- Calculus without Calculus
- Discrete Derivatives
- Elliptic Functions
- Functions of a Complex Variable
- How Not to Solve Tricky Integrals
- How to Define the Square Root
- Multivariable Calculus Crash Course
- Real Analysis
- Riemann Surfaces
- Systems of Differential Equations
- Trig Functions by Hand
- What's The Deal With e?
Applied Math
- Algorithms to Generate Randomish Numbers
- Choosing Random Numbers
- Computer Aided Design
- Fast Matrix Multiplication
- From the Intermediate Value Theorem to Chaos
- How To Get Rich Quick By Playing The Lottery
- How to Build a Calculator
- Math Writing Workshop
- Math and Brains
- Mathematica Workshop
- My Favorite Magic Trick
- Not Your Grandparents' Algorithms Class
- Special Relativity
- The Bell Curve
- The Logistics of Zombies: Cobwebs and Chaos
- The Mathematics of Voting
- The Traveling Salesman Problem: Recent Breakthroughs
- Urban Planning
- Voting Systems
- Colloquium: Using Math to Protect Democracy
Combinatorics
- Cap-Set Problem: Recent Progress
- Coloring Graphs on Surfaces
- Combinatorial Gems
- Decomposing and Factoring
- Exclusion-Inclusion
- Generating Functions and Regular Expressions
- How to Pronounce "Lucas"
- Hyperplane Arrangements
- Intro to Graph Theory
- Permutation Statistics
- Quivers
- Ramsey Theory
- The Combinatorial Nullstellensatz
- The Stable Marriage Problem
- The Szemerédi Regularity Lemma
- Weak Separation
- Welzl's theorem on graph homomorphisms
- Young Tableaux
- Colloquium: The Icosian Game
- Colloquium: The Party Problem and Ramsey
Computer Science
- Cryptography, and How to Attack It
- Evasiveness
- Machine Learning (NO neural networks)
- Shannon Capacity of Graphs
Geometry
- Coloring the Hyperbolic Plane
- Cubic Curves
- Finite Geometries
- Fractals and Dimension
- Geometry in Motion
- Intersecting polynomials
- Penrose Tilings
- Symmetries of Spaces
- The Kakeya Conjecture
- The Kakeya Maximal Conjecture
- Using quaternions to describe symmetries of Platonic solids
- Vertex-Transitive Polytopes
- Wallpaper Patterns
- What's It Like to Live in a Hyperbolic World?
- Colloquium: Farey Fractions and Plane Geometry
- Colloquium: Many Campers Split Pizza
- Colloquium: Squaring the Circle
History/Literature
- Ancient Greek Mathematics
- Turing and His Work
Logic/Set Theory
- Cloudy with a Chance of the Continuum Hypothesis
- Constructive Logic
- Godel's Incompleteness Theorem
- How to "Divide"
- Hyperreal Numbers
- Logic Puzzles
- Mathcamp Crash Course
- Metric Space of Metric Spaces
- Non-Classical Logic
- Set Theory
- Surreal Numbers
- The Pseudoarc
- Colloquium: Down the Rabbit Hole
- Colloquium: Games People (Don't) Play
- Colloquium: Hydras
Number Theory
- Analytic Number Theory
- Bernoulli Numbers
- Every natural is "Fibonacci": Games, Miles and Kilometres
- Prime Numbers
- Quadratic Reciprocity
- Riemann and Series
- Smol Results on the Mobius Function
- Colloquium: Opinionated Primes
- Colloquium: Why are drums shaped by number theory sometimes louder than others?
Probability/Statistics
- A Crash Course in Axiomatic Probability
- And That Is Why Birds Shouldn't Drink Alcohol
- Laws of large numbers
- Mathematics in Crisis: The St. Petersburg Paradox
- Problem Solving: Probabilistic Method
- Queueing Theory
- Underhanded Tricks with Markov Chains
Problem Solving
- Problem Solving Discussion
- Problem Solving: Convexity
- Problem Solving: Diophantine Equations
- Problem Solving: Geometric Transformations
- Problem Solving: Linear Algebra
- Problem Solving: the "Just Do It" method
Topology
- All Things Manifoldy
- Euler Characteristic
- How to Count Using Topology
- Impossible Cohomology
- The Baire Category Theorem
- The Fundamental Group
- Topological Tic Tac Toe
- What is Homology?
- Colloquium: Covering Spaces and Square Dancing
- Colloquium: Rational Tangles
