The format of Mathcamp 2022 is still TBD, but we hope to run a residential program! Learn more.

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:

- A (re)Introduction to Polynomials
- A Dynkin diagram miscellany
- Abel's Theorem
- Abelian Groups
- Abstract Nonsense
- Advanced Linear Algebra
- Braid Groups
- Burnside's Lemma
- Category Theory in Sets
- Cyclotomic Polynomials and Extensions
- Extensions
- Finite Fields
- Galois Theory
- Introduction to Groups
- Laurent Phenomenon
- Lie Algebras
- Linear Algebra
- Primitive roots
- Reflection Groups
- Representation Theory of Finite Groups
- Ring Theory
- Sylow Theorems
- The Banach–Tarski Paradox
- The tale of summation is in order!
- Tiling Problems
- Tropical Curves
- Colloquium: Putting the Algebra in Algebraic Topology

- Almost All You Want
- Differentials and higher differentials
- Differentiation under the Integral Sign
- Functions of a Complex Variable
- Fundamental Theorem of Calculus in Dimension
*n* - Infinitesimals
- Lebesgue Measure
- Metric Spaces
- Multivariable Calculus
- Normal Numbers
- The Ham Sandwich Theorem and Friends
- What's Up With
*e*? - Colloquium: Cauchy's functional equation

- A Card Trick, and a Set
- A Mathematician Goes to Vegas
- Building a machine that learns like a human
- Cosine Waves on Musical Staves
- From Geometric Optics to High Speed Underwater Photography
- Group operations' harmonic implications
- Mathematical Magic
- Optimization Problems on Graphs
- Quantum factoring
- Special Relativity
- Statistical Modelling
- The Cake is a Lie
- The Fast More Four Do Over
- The Hidden Dance of Partial Differential Equations
- The mathematics of polygamy (and bankruptcy)
- Time-Frequency Analysis
- Unsolved Problems in Cosmology
- Voting Theory
- Colloquium: An Intro to "Data Science"
- Colloquium: Pad Thai with Electrons
- Colloquium: Secure Genomic Computation: a Contest

- Coloring Maps
- Combinatorial Game Theory
- From Counting to a Theorem of Fermat
- Generating Functions, Catalan Numbers, and Partitions
- Graphs on Surfaces
- Induced Matchings from Szemeredi's Regularity Lemma
- Intro Knot Theory
- Knight's Tours
- Latin Squares
- Posets
- Qualifying Quiz Problem 6
- Summing Series
- The Hoffmann Singleton Theorem
- The Pruefer Correspondence
- The Robinson-Schensted Correspondence
- The Tower of Hanoi
- Tower of Hanoi
- Unlikely Maths
- Wagner's Theorem
- Colloquium: Triples

- Algorithms
- Automated Proofs in Geometry
- Cryptography
- Cryptography: What is it and Why Do we Care?
- Error-Correcting Codes
- Introduction to Complexity
- Learn to code!
- Many Facets of Optimization
- P vs NP
- Colloquium: Computers: Friends or foes of the modern mathematician?

- Aperiodic Tiling
- Apollonian Circle Packings
- Classifying Symmetry
- Coloring in Space
- Counting the Faces of Cut-Up Spaces
- DIY Hyperbolic Geometry
- Elliptic Curves Day 1
- Fractal dimensions
- Non-classical Constructions
- Quaternions and rotations
- Quaternions and rotations
- Shortest Distance
- The Projective Plane
- Colloquium: Can You Hear the Shape of a Drum?
- Colloquium: Neural Codes
- Colloquium: Polyhedral Symmetry in the Plane?

- Bad History: A Crash Course in Historiography and how not to do the History of Math
- Development of Probability
- History of Math
- The History of Calculus
- Turing and his Work
- Colloquium: Are We Special?
- Colloquium: Finding my Place in {Teacher Educators} ∩ {Mathematicians}: Bringing a Mathematical Eye to Teacher Education

- A game you can't play (but would win if you could)
- Exploring Equality via Homotopy and Proof Assistants
- Fun with Compactness in Logic
- LARGE cardinals!
- Martin's Axiom and Ramsey Ultrafilters
- Mathcamp Crash Course
- Measure and Martin's Axiom
- Ordinal Arithmetic
- Stupid Games on Uncountable Sets
- The Löwenheim-Skolem Theorem
- Ultrafilters
- Colloquium: Hydras
- Colloquium: Making Cantor Super Proud

- Absolute Values: All the Other Ones
- Algorithms in Number Theory
- Continued Fractions
- Multiplicative Functions
- Quadratic Reciprocity
- The Factorial Function
- pNumber Theory
- Colloquium: My Favorite Prime

- Markov Chains to Support your Probabilistic Exploits

- Problem Solving: Combinatorics
- Problem Solving: Inequalities
- Problem Solving: Linear Algebra
- Problem Solving: Tetrahedra
- Rapid Fire Problem Solving

- Classifying Spaces
- Combinatorial Topology
- Fundamental Group
- Galois Cohomology
- Homotopy Theory
- Point-set Topology
- Colloquium: Reeb Foliation of the 3-Sphere