The evidence is that the bag of watery chemicals which we are stops being self-aware when we die. When damage happens to the brain, it changes a person's personality - it's hard to understand how if you believe that they are in some way separate. If someone makes the claim that there is something of the consciousness which persists after death then that extraordinary claim will need evidence to support it and / or a mechanism by which it can be reproduced or explained. Until it does there's no reason to believe the claim.
This applies to all claims. The burden of proof is always with the person making the claim. The opposite is a logical fallacy.
My position on whether there is life after death is that I've seen no evidence of it at all, let alone sufficient evidence that I could believe it to be real.
I want to believe in as many true things as possible and as few false things as possible. That people believe in things without good reason is why we need to stop teaching kids what to think and start teaching them how to think.