Classes

We teach two classes each quarter.

• Our advanced classes meet on Tuesday and Wednesday evenings from 6:30–8:30 PM in Palo Alto. On Tuesdays, new material is presented in an interactive lecture format. On Wednesdays, there are problem sessions, where students work in small groups in order to solidify their understanding of material presented the day before, and also go over problems from the previous week. Students also write an expository paper on a topic of their choice related to the class material but not directly covered in it, and especially dedicated students will have the opportunity to work on open research problems.
• Our intermediate transition to proof-based mathematics class meets on Monday evenings from 5:30–8:30 PM in Palo Alto. At the beginning of class, new material is introduced, and after that students work on problems and proof-writing and go over problems from the previous week. This is a year-long sequence, after which successful students will be prepared to take our advanced classes the following year. In the fall, the class will be about proofs in number theory; in the winter, it will be about proofs in combinatorics; in the spring, it will be about proofs in analysis. This class is repeated each year.

In the summer of 2021, we will offer advanced classes on combinatorics and combinatorial game theory.

In the 2021–2022 year, the topics for the advanced classes are generating functions in the fall, proofs from THE BOOK in the winter, and differential geometry in the spring.

Here are the advanced classes we have offered in past years: In the 2015–2016 year, we offered classes on abstract algebra, cryptography, and complex analysis. In the 2016–2017 year, we offered classes on combinatorial game theory, proofs from THE BOOK, and ring theory/algebraic geometry. In the 2017–2018 year, we offered classes on combinatorics, mathematics of Euler, and p-adic analysis. In the 2018–2019 year, we offered classes on number theory, ergodic theory, and analytic number theory. In the 2019–2020 year, we offered classes on cryptography, infinite series, and abstract algebra. In the summer of 2020, we offered classes on ring theory and algebraic geometry and proofs from THE BOOK. In the 2020–2021 year, we offered classes on Markov chains and complex analysis.

In the future, we will offer many other classes, based on the interests of students and teachers, including various classes on number theory, abstract algebra, analysis, combinatorics, topology, probability, game theory, and more.

We are now accepting applications for the Summer and Fall 2021 classes. Click here to apply! Applications are due by May 30th and July 25th for the summer and fall classes, respectively.