[FEATURE REQUEST] Support for asynchronous task execution

[FEATURE REQUEST] Support for asynchronous task execution

What would be really cool

A /async command that executes tasks asynchronously in the background, storing results in ./.claude/async directory, allowing me to ask side questions without interrupting my main workflow.

Why

When working on complex tasks, I often have side questions I want Claude to research, but don't want to break my flow by waiting for answers. Currently managing this with multiple Tmux instances is cumbersome.

Example

/async [What is the TypeAdapter pattern in Pydantic?]
# Continue with main task while Claude researches in background

# Or batch multiple questions:
/async [How does asyncio work in Python?, What are best practices for error handling in async code?]

Results would be saved as descriptive markdown files in ./.claude/async/ for later reference.