Why the tax is $0 in my payslip?

Hello!

Sorry if this is not the best sub to ask this but I don't know where else to ask and my google searches are confusing me even more. I am not Australian and I am living and working here with a temporary visa so I don't know much about the Australian financial system.

I have worked at several places and in my payslips I always have the 'salary & wages' section, the 'super' section and the 'tax' section. I started a new job a couple of weeks ago and noticed that in my payslips the 'tax' section always is $0.

Does it mean my employer is not deducting the taxes and that I will have to pay more when doing my tax return in the future? Should I talk with my employer and change that?

Thank you for your help!