Feature Request: MCP to access Claude.ai chat history and Projects

The Problem

I use Claude.ai on my phone during my nightly 10k walks—reflecting on career decisions, working through mental health stuff, discussing research papers. These conversations are genuinely valuable to me.

But the next morning when I'm at my desk using Claude Code, all that context is trapped in Claude.ai. I can't reference it, search it, or build on it. I end up manually copy-pasting or just re-explaining everything from scratch.

There's no bridge between Claude.ai and Claude Code.

What I Actually Want To Do

1. Mobile → Desktop workflow

I reflect on my phone, then want to compile those insights at my desk:

• Have a career planning conversation during my walk
• Next morning, ask Claude Code: "Turn last night's career conversation into a markdown doc"
• Currently impossible without tedious copy-paste

2. Search & compile past conversations

I have months of conversations about:

• 📄 Research papers I've read and discussed
• 🧠 Mental health reflections and therapy-adjacent thinking
• 🎯 Career planning and decisions

I want to be able to say: "Find all my career-related conversations and compile the key insights into a document" — then maybe compare that against a paper I'm reading locally.

3. Don't make me repeat myself

I've already explained my background, my goals, my context in Claude.ai conversations. When I switch to Claude Code, I shouldn't have to start from zero.

Proposed Solution

An official MCP server that lets Claude Code:

1. Search conversations and Projects by keyword/topic
2. Read full conversation content
3. List Projects and their knowledge bases
4. (Bonus) Continue a Claude.ai conversation from Claude Code

Why This Makes Sense

• Anthropic owns both platforms — no third-party API needed
• Aligns with the Memory feature direction (continuity across sessions)
• No competitor offers cross-platform AI conversation continuity like this
• Makes the Claude ecosystem way stickier (in a good way)

Current Workarounds (All Bad)

| Method | Why It Sucks |
|--------|--------------|
| Manual export (Settings > Privacy) | One-time JSON dump, not searchable, not integrated |
| Browser extensions | Manual per-conversation, no Claude Code integration |
| Copy-paste | Tedious, loses structure, doesn't scale |

Example Workflow I Want

Me: Search my Claude.ai chats for "career planning"

Claude Code: Found 8 conversations:
- Career Reflection Project: 5 chats
- General: 3 chats

Me: Compile the key themes into career_insights.md

Claude Code: [Creates structured document from conversations]

Me: Now compare those insights with this paper I'm reading
    @upskill/a_pragmatic_vision_for_interpretability.md

Claude Code: [Analyzes both, finds connections...]

Privacy/Security (Obviously Important)

• OAuth to link Claude Code ↔ Claude.ai account
• User controls which conversations/Projects to expose
• Read-only by default
• All processing stays local

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Would love to hear if others want this too!