Bialkowski even drew praise from Robins boss Kevin MacDonald, who was left to rue a missed opportunity to put clear daylight between his second-placed team and the chasing pack.
The Pole made important saves from Louis Thompson and Tommy Miller in the first half but it was in the second half when Swindon increased their pressure that the former Southampton stopper excelled.
Simon ferry saw one effort held on the line by the giant Bialkowski, who then used his long legs to keep out shots from Alan McCormack and James Collins in a hectic last 10 minutes.
At the death he also held a Darren Ward header on the line as Swindon plunged every man forward in a bid for victory.
Magpies manager Chris Kiwomya, who saw his side hit the crossbar through Enoch Showumni's deflected effort, said: "Bartosz is a good lad and a great character. One day he will be a top class goalkeeper because he is only 24 and has plenty of time.
"I think 0-0 was a decent result and a useful point. Swindon put a lot of balls into our box and we had to withstand a lot of pressure. We had two very good counter-attacks and should have scored, but luckily our goalkeeper was in great form.
"We came here and battled hard but even when we were under the greatest pressure we were always looking for a chance on the break.
"Swindon bossed the second half. They are a good side, playing good football and poured balls into our box."
Kiwomya added: "We are six points off the play-offs. I will speak to the chief executive next week to see if I can get in a player or two before the transfer deadline but, if not, we will battle on."