The math study environment built for active recall — lecture notes, problem sets, flashcard review, and an AI tutor, all in one place
Free, ad-free, and designed for the way mathematicians actually study

🚀 Open App • 📖 Quick Start • ❓ FAQ

Hey, everyone! 👋

I built Axiom because I kept bouncing between my textbook PDFs, a scratch paper notebook, and a flashcard app — and none of them talked to each other. This is a focused math study environment designed for active recall: paste your lecture notes or textbook chapters as LaTeX, and Axiom structures them into definitions, theorems, lemmas, and proofs that you can reveal one at a time, take notes on, and review as flashcards. Problem sets live alongside the notes, linked to the relevant section, and an AI math tutor is one click away.

• Quick Start
• Install as an App
• Features at a Glance
• How to Use
• All Features
• Keyboard Shortcuts
• FAQ
• Tech
• About This Project

1. Open the app and click "+ Course" to add your first course (e.g. MAT 217)
2. Click "+ Chapter" and paste in LaTeX from your lecture notes or textbook
3. Axiom parses it into structured math blocks — definitions, theorems, proofs, exercises
4. Work through each block, reveal proofs on demand, and jot annotations inline
5. Switch to Review to drill the blocks as flashcards 🎉

Axiom is a Progressive Web App — install it on your phone or computer for a fullscreen native experience, no App Store required.

iPhone/iPad (Safari):

1. Open the app in Safari
2. Tap the Share button (square with arrow)
3. Scroll down and tap "Add to Home Screen"
4. Toggle "Open as Web App" ON
5. Tap Add — launches fullscreen like a real app!

Android (Chrome):

1. Open the app in Chrome
2. Tap the three-dot menu → "Add to Home Screen" or "Install App"

Desktop (Chrome/Edge):

1. Look for the install icon (⊕) in the address bar
2. Click "Install"

Your data saves locally and syncs to the cloud if you sign in — so you won't lose your notes even after installing.

Click "+ Course" in the sidebar and enter the course code (e.g. MAT 217) and full name (e.g. Honors Linear Algebra). Each course gets its own section in the sidebar and its own color-coded progress tracker.

Click "+ Chapter" and either:

• Paste LaTeX directly from your notes or textbook source
• Upload a .tex file by clicking the File tab or dragging it onto the drop zone

Axiom parses standard LaTeX environments — \begin{definition}, \begin{theorem}, \begin{proof}, \begin{lemma}, \begin{corollary}, \begin{exercise} — and renders each one as a structured, collapsible block.

Pro tip: You can also drag and drop a .tex file anywhere onto the main area to load it instantly.

Each theorem, definition, and proof renders as a card with a Reveal button. Work through the material actively:

• Read the statement, try to recall the proof, then click Reveal to check yourself
• Click the ✓ checkbox to mark a block as read — the TOC dot turns green
• Use the Edit button to tweak the LaTeX source directly if there's a typo
• Add annotations in the text area below any block — saved automatically
• Click any cross-reference (Theorem 3.21, (4.10), by 1.34) to instantly preview that result in a popup — no scrolling required

Switch to the P-Sets tab to manage your homework and practice problems.

1. Click "New Problem Set" and name it (e.g. Homework 3)
2. Add problems by pasting LaTeX/text or uploading a .tex / .txt file
3. Optionally link problems to a textbook section for easy cross-reference
4. For each problem, write your work in the scratch area and mark it Done or Stuck
5. Drag problems to reorder them

Switch to the Review tab to drill your math blocks as flashcards.

• The front of each card shows the block type and title (e.g. Theorem 3.2)
• Click the card to flip it and see the full content
• Mark each card as Know ✓ or Still Learning ✗
• Filter by chapter or review all courses at once
• Session stats (total, known, remaining) shown at the top

Click the 💬 button in the bottom-right corner to open the AI math tutor. The tutor knows which course and section you're currently studying, so you can ask things like:

• "Can you give me an example of this theorem?"
• "I'm stuck on Exercise 1A.3 — can you give me a hint without spoiling it?"
• "Explain the intuition behind this proof."

Switch between models in the chat settings ⚙️ if needed.

Click Sign In in the top bar to sign in with Google or email/password. This syncs your courses, notes, annotations, and problem work to Firebase in real time — so you can pick up where you left off on any device.

Zero build step. Single index.html — just open it in a browser.

• KaTeX for fast, high-quality math rendering (definitions, theorems, inline and display math)
• Firebase (Auth + Firestore) for optional sign-in and real-time cloud sync
• Puter AI for the math tutor chat (no API key required)
• Google Fonts — EB Garamond, Cormorant Garamond, JetBrains Mono
• localStorage for offline-first persistence
• PWA-ready — installable on any device

Axiom was built by a Princeton student who kept losing track of which theorems they'd actually internalized versus just read past. The goal was something that would make active recall the default — not an afterthought — when working through dense math material.

Note: The app is still a work in progress and may have rough edges. If you find bugs or have feature suggestions, please reach out at [email protected] — feedback genuinely helps!

The app is open source and free to use or adapt. If you find it useful, share it with your classmates!

Good luck this semester. Go Tigers! 🐯

Perfect for: Real analysis • Linear algebra • Abstract algebra • Topology • Any proof-based math course

Made by Lillian Wang · Princeton University · Spring 2026