# Euler Circle Summer Classes Euler Circle is a mathematics institute for advanced high school students built around a conviction that there is more to mathematics than competitions. Its summer classes are held purely online and run in two sessions in 2026: Session 1 (June 8 - July 10) and Session 2 (July 13 - August 14). The flagship summer offering is an independent research and paper-writing class in which each student studies a topic in depth and writes a substantial mathematical paper; recent second-session courses include mathematics in Lean and Markov chains. ## What You'll Do - Study a proof-based, university-level mathematics topic with live online instruction - In the research class, choose a topic, learn it deeply, and write an approximately 20-page expository or research paper - Present and defend mathematical ideas with peers who love the subject - Optionally take classes in both summer sessions ## Who Should Apply Euler Circle expects the mathematical maturity of advanced high school students - comfort with proofs helps - and admits students who have not yet completed high school before the class begins. It fits students who have outgrown standard coursework and want research-flavored mathematics rather than contest prep alone. ## Outcomes Students come away with a serious piece of mathematical writing (often the seed of later research), experience reading and presenting advanced material, and preparation for programs like university REUs. Tuition varies by class, and need-based scholarships are available - the institute encourages students to apply regardless of ability to pay. Summer applications are typically due in mid-April.