When David Tennant stepped on stage as Shakespeare's Richard II at the Royal Shakespeare Company two weeks ago, it was immediately acclaimed as one of the great modern performances: "mesmerising", according to both the Guardian and the Evening Standard; "electrifying", in the view of the Times; possessed of "mercurial clarity", in the words of the Observer's Susannah Clapp. The Independent put it more plainly: "another palpable hit".

Although Tennant is best-known in the wider world for his quicksilver portrayal of the tenth Timelord in Doctor Who – and more recently, a quizzical detective in ITV's doomy thriller Broadchurch – his theatrical pedigree is impressive. He started his career at the political Scottish company 7:84 in the early 1990s before graduating to the National in 1995 and the RSC a year later, and has made a point of returning to live drama as often as he can. He once described theatre as his "default way of being" – something it's easy to believe if you've ever seen him live.

In other words: plenty to ask him about, and we're chuffed that David will be joining us online to answer your questions. Perhaps you want to quiz him on playing Shakespeare's vacillating monarch, or how he's preparing for the RSC's first-ever live cinemacast next week. Maybe you're fishing for views on Doctor Who, or his upcoming film and TV work. Or perhaps you want to know whether he's got any better at doing his washing …

Whatever you want to ask, post your question in the thread below. David will be joining us live from Stratford-upon-Avon at 1400 GMT on Wednesday 6 November – so do come back then to see what he has to say for himself.

• Richard II will be streamed live to cinemas on 13 November, followed by a broadcast to UK schools on 15 November

We have posted the questions and answers here to make the chat easier to follow: