Welcome to Euler Circle!

Note: Euler Circle will be held online in the summer and until it is safe to resume in-person classes. You do not need to live in the San Francisco Bay Area to attend online classes. Over the summer, we will hold classes on ring theory and algebraic geometry in the first session, and on Proofs from THE BOOK in the second session. In the fall, we will hold classes on transitioning to proofs in number theory and Markov chains.

Are you a high-school student in the San Francisco Bay Area who loves mathematics? Do you find the traditional mathematics curriculum far too easy? Do you want to learn fascinating and challenging mathematics? Do you want to work on problems and make friends with mathematically-minded peers? If so, you have come to the right place!

What

Euler Circle is a mathematics institute for advanced students in the San Francisco Bay Area who love mathematics. We offer a range of college-level mathematics classes, specifically tailored to the needs of advanced high-school students, many of whom have exhausted the mathematics curriculum at their schools and want to learn more. Each class we offer is the equivalent of a college mathematics class. In each class, students solve many problems to gain familiarity with new material, and in the advanced classes each student writes an expository paper on a topic related to the class material.

The classes are set up in such a way as to provide a pathway to independent research. Many of our problem sets in the advanced classes include unsolved problems that students can explore once they have mastered the material presented in class. We offer small group meetings for students interested in working on the research problems once they have demonstrated the ability to work hard on challenging problems. See more on research in Euler Circle.

Why

There is more to mathematics than competitions. Yet there are few resources available for high-school students to learn about the rest of the wonderful world of mathematics. We believe that many students would like to see what else is out there, and we want to share what we know.

When/where

Over the summer, we will hold two classes sequentially: first, a class on ring theory and algebraic geometry from June 8 through July 10, then a class on Proofs from THE BOOK from July 13 through August 14. These classes will meet on Mondays, Tuesdays, Thursdays, and Fridays from 9:30–11:30 AM Pacific time. Classes will be held online, so students from around the world are welcome to attend.

Applications for the ring theory and algebraic geometry class are due May 10th, and applications for the Proofs from THE BOOK class are due June 14th. Click here to apply!

In the fall, we will have two classes. Our intermediate class is the first quarter of the transition to proofs sequence, focusing on number theory. Our advanced class is on Markov chains. These classes will start in late September and run for 10 weeks each. Applications for these classes are due July 26th. Depending on the COVID-19 situation, these classes might be held in-person in Palo Alto, or online on Zoom. Click here to apply!