Fall Session 2025
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To be held Mid-September through Mid-December, 2025

***Note that this catalog is currently incomplete. Thanks for your patience!***

Nifty NT and Algebra  

Instructor: Sophia Jin

In this class, we will be learning important ideas of algebra and number theory that often appear on the AMC or AIME, such as the Division Theorem, Vieta's formulas, modular arithmetic, the Euclidean Algorithm, and the Chinese Remainder Theorem. In addition, we will be exploring some fun topics like weird divisibility rules and finite differences!

Difficulty: AMC to Mid AIME

Schedule

LESSON 1: Algebraic Identities and Manipulation

LESSON 2: Polynomials

LESSON 3: Modular Arithmetic I

LESSON 4: Modular Arithmetic II

LESSON 5: Bases and Divisibility

LESSON 6: Finite Differences

ComboneNT  

Instructor: Wendy Leong

ComboneNT is a course focusing on Combo-flavoured Number Theory – that is, how characteristics of the integers, such as divisibility, can translate into useful combinatorial properties. It presents insights and techniques from both the Combo and NT perspectives, exploring how such ideas have surfaced in recent years, and offering strategies for AMC, AIME, and introductory Olympiad problems.

Difficulty: AMC to Mid AIME

Schedule

LESSON 1: Prime Number Properties, GCD and LCM, Divisibility

LESSON 2: Modular Arithmetic

LESSON 3: Counting Techniques

LESSON 4: Introduction to Olympiad Topics I

LESSON 5: Introduction to Olympiad Topics II

LESSON 6: Test and Recap

NT Terrain Navigation  

Instructor: Jiya Dani

In this course, we will be “navigating terrain” in number theory, exploring different ideas and useful techniques for computational number theory problems. Along with learning some famous fundamental theorems and other important topics, you will also gain more intuition on how to approach tricky problems.

Difficulty: AMC to Late AIME

Schedule

LESSON 1: Mod Fundamentals

LESSON 2: Bases and Digits

LESSON 3: Famous Theorems

LESSON 4: Factors and Divisibility

LESSON 5: Prime Powers and Factorials

LESSON 6: Intuition and Vibes

Classy Adventures in Combinatorics and Algebra  

Instructor: Ekam Kaur

In this class, we will cover many of my favorite topics in combinatorics and algebra which commonly appear on the AIME. Some topics we will cover include bijections, combinatorial perspectives, recursion, handling polynomials, and complex numbers. We will see how these topics show up in various ways and you will become more comfortable applying them, and also improve your general problem solving skills.

Difficulty: AIME

Schedule

LESSON 1: Polynomials

LESSON 2: Bijections and Combinatorial Identities

LESSON 3: Recursion and States

LESSON 4: Trigonometry

LESSON 5: Complex Numbers

LESSON 6: Combinatorial Arguments

Get to Know Number Theory  

Instructor: Thanaree (Pimmy) Maneepairoj

In this course, you will learn about an introduction in number theory and some of stuffs that very useful for problems. We also cover many of important concepts and some of strategies.

Difficulty: Mid-AIME to Beginner Olympiad

Schedule

LESSON 1: Basic Things (Divisibility, GCD, LCM, Bezout, Division Algorithm)

LESSON 2: Prime numbers and Congruence

LESSON 3: Famous Theorems (Fermat Little Theorem, Euler, Wilson, Chinese Remainder)

LESSON 4: Lifting the Exponent

LESSON 5: Fusion Problems equations

LESSON 6: Talk About Nontheory Things / Small Quiz

Outstanding Olympiad Geometry  

Instructor: Amy Cui

This course will cover many fundamental theorems and concepts in Olympiad geometry. Some topics we will discuss include the Euler Line, the Nine-Point Circle, the Incenter/Excenter Lemma, Power of a Point, Ceva’s Theorem, the Simson Line, and many other cool configurations!

Difficulty: Late AIME to Beginner Olympiad

Schedule

LESSON 1: Triangles I

LESSON 2: Triangles II

LESSON 3: Circles

LESSON 4: Length and Area Ratios

LESSON 5: Cool Configurations

LESSON 6: Group Solve

Combo Heuristics  

Instructor: Greta Qu

This course will cover various thinking processes and strategies used to solve olympiad problems (with some computational applications as well!). Rather than focusing on techniques, the topics emphasize intuitive reasoning and gaining a deep understanding of the subject. This class is suitable for anyone with a solid combinatorial background looking to try some cool problems!

Difficulty: Late AIME to Mid-Olympiad

Schedule

LESSON 1: Underlying Structure

LESSON 2: Processes

LESSON 3: Constructions

LESSON 4: Intro to Graph Theory

LESSON 5: Forcing Moves

LESSON 6: Some Fun Challenges!

Fun + Heights  

Instructor: Catherine Xu

Fun + Heights is a beginning to middle olympiad level class focusing on fun(ctional equations) and diophantine equation-based number theory. This class will cover fundamentals in functional equations and the uses of prime divisors in number theory.

Difficulty: Beginner Olympiad to Mid-Olympiad

Schedule

LESSON 1: Cauchy's Functional Equation

LESSON 2: FEs, Part 2

LESSON 3: Manipulations and Lagrange Interpolation

LESSON 4: Introduction to Diophantine Equations

LESSON 5: Diophantines, Part 1 - Orders

LESSON 6: Diophantines, Part 2 - Lifting the Exponent