can I publish (alone) papers which are a continuation of my PhD research (without my supervisior's name as a co-author)?
The answer is &quot;almost certainly yes&quot;. If the work is yours you don't need to include others as co-authors, no matter what happened in the past. But there is the issue of whether a new paper includes &quot;intellectual contributions&quot; of others, not just help in writing the paper. If the old advisor's intellectual contributions still appear in your new papers, especially if they are fundamental, then you owe at least an acknowledgement of that, but possibly more. I can't judge that of course.
And, if your old advisor is in a position to still advance your career and including him would be an advantage then there is, perhaps, some incentive to err, if necessary, on the side of including him. Future collaborations might be very valuable - or not.
But, at some point, every student leaves their advisor behind. The advisor should celebrate when that happens, actually.