Olympiad (USA(J)MO)

Prepare specifically for proof-based olympiad rounds with guided practice in construction, invariants, and elegant argument design.
Emphasis is on clarity, correctness, and full-solution communication.

This section is currently under development. The content you see here is filler for now.

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Proof Writing

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Structuring clear, rigorous proofs for olympiad submissions.

Proof Writing Basics

Structure, clarity, and rigor for olympiad proofs.
Updated: 5 days ago

Induction & Extremal

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Strong induction, well-ordering, and extremal principle arguments.

Induction and Extremal Arguments

Strong induction, minimal counterexample, and extremal principles.
Updated: 5 days ago

Graph Theory Intro

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Graphs, trees, coloring, and combinatorial structure.

Graph Theory (Intro)

Basic graph definitions, invariants, and simple proofs.
Updated: 5 days ago

Advanced Inequalities

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Olympiad-level bounding with Schur, Muirhead, and mixing variables.

Advanced Inequalities

Homogenization, substitution, and inequality proof techniques.
Updated: 5 days ago

Olympiad Number Theory

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Vieta jumping, infinite descent, and olympiad divisibility.

Olympiad Number Theory

Orders, lifting, and structure for proof-based NT problems.
Updated: 5 days ago

Olympiad Geometry

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Synthetic and projective techniques for proof-based geometry.

Olympiad Geometry

Inversion, projective ideas, and proof-based geometry.
Updated: 5 days ago

Strategy & Writeups

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Time management, problem selection, and solution presentation.

Strategy and Write-up Structure

Contest pacing, solution planning, and clean write-ups.
Updated: 5 days ago