My cycle is delayed by 1 month and 3 weeks, hpt negative, what should I do to resume my cycle?

You haven't given much detail, but sometimes periods are delayed for no obvious reason. Sometimes one can be skipped. You don't need to 'resume' menstruation. It happens as a matter of course following ovulation when not pregnant.

As you have taken pregnancy tests, you must be sexually active, but you give no details of that.

So some more information, please:

1. What was the date of your last period start?
2. How long is your cycle (typically 28 days)? Is it regular?
3. How old are you?
4. What date(s) did you take the pregnancy test(s)?
5. What dates have you had sexual intercourse since your last period start?
6. What birth control do you use (if any)?
7. Where do you live (country/state/county)?