Welcome to Euler Circle!

Are you a high-school student 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 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

Applications are open for summer and fall classes. Summer classes are purely online, whereas it will be possible to take spring classes either online or in person in Palo Alto. Thus students from around the world are welcome to apply.

Summer classes will be held online, and students from around the world are welcome to apply. We will have two advanced classes. In the first summer session, we will have an independent research and paper writing class, and in the second summer session, we will have a class on p-adic analysis.

Here are the dates and times for summer classes. All times are in Pacific time.

Class Starting date Ending date Everyone
Independent research and paper writing June 6 July 8 Monday, Tuesday, Thursday, Friday 9:30–11:30 AM
p-adic analysis July 11 August 12  Monday, Tuesday, Thursday, Friday 9:30–11:30 AM

Applications for these two summer classes are due April 17 and May 29, respectively. After that, we will continue to accept applications while space remains on a rolling basis. Click here to apply!

In the fall, We will have an intermediate class on transitioning to proofs in number theory, a class between intermediate and advanced level on fundamentals of higher mathematics focusing on linear and abstract algebra, and an advanced class on the theory of computation.

Here are the dates and times for fall classes:

Class Starting date Ending date Everyone Online In person
Transition to proofs September 26 December 7 Monday 5:00–6:00 PM Tuesday 5:00–7:00 PM Wednesday 6:30–8:30 PM
Fundamentals of higher mathematics September 26 December 7 Monday 5:00-6:30 PM Wednesday 5:00–7:00 PM Wednesday 6:30–8:30 PM
Theory of computation September 26 December 7 Monday 6:30–8:30 PM Tuesday 5:00–7:00 PM Wednesday 6:30–8:30 PM

Applications for fall classes are due July 24. After that, we will continue to accept applications while space remains on a rolling basis. Click here to apply!