The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students in topics such as: Discrete Mathematics Combinatorics (enumerative, algebraic, geometric) Generating functions and partitions Graph Theory Probability Combinatorial Game Theory Algebra and Number Theory Linear Algebra Prime and factorization algorithms Congruences and quadratic reciprocity Galois Theory Geometry of numbers Geometry and Topology Euclidean ad non-Euclidean geometries Geometric transformations Algebraic geometry Point-set topology Knot Theory Relevant field trips, including the National Math Museum in New York City, and the National Cryptologic Museum, may also be included. Prerequisite : One year of high school Algebra II/Trigonometry is required for application. Program Director: Nakia Rimmer

Learn more: https://summer.sas.upenn.edu/programs/high-school/academies/mathematics