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5 programsCombinatorics
Silver SignalUniversity of Pennsylvania School of Arts & SciencesSelective

Penn Arts & Sciences: Mathematic Academy

A rigorous, proof-oriented three-week residential mathematics program for high school students covering discrete mathematics, algebra, number theory, geometry, and topology. Features faculty-led lectures, problem sessions, and exploratory research.

Jul · 3 wk sessionsResidentialPhiladelphia, PAFreeLate fall 2024 for 2025 applications
Entering grades9th, 10th, 11th, 12th
CategoriesAcademic, STEM
SubjectsDiscrete Mathematics, Algebra and Number Theory, Geometry and Topology, Combinatorics, Graph Theory, Probability, Linear Algebra
CostFree · $0
Websitehttps://hs.sas.upenn.edu/summer-programs/academies/mathematics
Unverified
Silver SignalAwesomeMathSelective

AwesomeMath: Summer Program

An intensive three-week online program for gifted middle and high school students (ages 12–18) focused on competition mathematics problem-solving for AMC 10/12, AIME, and USA(J)MO. Live instructor-led courses in algebra, combinatorics, geometry, and number theory at four difficulty levels.

Jun–Aug · 2–3 wk sessionsOnline$500–$1,499197 days
Entering grades6th, 7th, 8th, 9th, 10th, 11th, 12th
CategoriesSTEM, Academic
SubjectsAlgebra, Combinatorics, Geometry, Number Theory, Competition Mathematics
Cost$500–$1,499 · $1,175
Websitehttps://www.awesomemath.org/summer-program/overview/program-information/
Unverified
Silver SignalMathematical Staircase, Inc.Selective

Mathematical Staircase: MathILy

An intensive five-week residential mathematics program for mathematically talented high school students featuring undergraduate and graduate-level mathematics through inquiry-based instruction, with a two-week common curriculum, one-week student-led topics, and two weeks of advanced branch classes.

Jun · 2–5 wk sessionsResidentialBryn Mawr, PA$3,000–$6,999169 days
Entering grades9th, 10th, 11th, 12th
CategoriesAcademic, STEM
SubjectsMathematics, Discrete Mathematics, Combinatorics, Graph Theory, Geometry, Linear Algebra, Number Theory, Probability, Group Theory, Cryptography
Cost$3,000–$6,999 · $6,175
Websitehttps://mathily.org/
Unverified
Yellow Pig Math FoundationSelective

Hampshire College: Summer Studies in Mathematics

An intensive six-week residential mathematics program for talented high school students featuring college-level coursework in number theory, combinatorics, modern algebra, complex analysis, and other advanced topics, with workshops, maxi-courses, and mini-courses tailored to student interests.

Jun · 6 wk sessionsResidentialAmherst, MA$7,000+158 days
Entering grades9th, 10th, 11th, 12th
CategoriesAcademic, STEM
SubjectsMathematics, Number Theory, Combinatorics, Modern Algebra, Complex Analysis, Topology, Algebra, Cryptography, Game Theory, Probability
Cost$7,000+ · $7,208
Websitehttps://hcssim.org/
Unverified
University of Pennsylvania

Program In Algorithmic and Combinatorial Thinking (PACT)

A 5-week summer program combining virtual and in-person components at UPenn that teaches theoretical computer science, discrete mathematics, combinatorics, and proof techniques. Students attend morning lectures and afternoon problem sets, with optional year-round continuation meetings.

Jun · 5 wk sessionsCommuter / Residential / OnlinePhiladelphia, PA$3,000–$6,999Rolling
Entering grades9th, 10th, 11th, 12th, College
CategoriesAcademic, STEM
SubjectsTheoretical Computer Science, Discrete Mathematics, Combinatorics, Algorithms, Proof Techniques
Cost$3,000–$6,999 · $2,050
Websitehttps://algorithmicthinking.org/
Unverified