In terms of living on after you die, I think it's your legacy that lives on, whether that's a good one or a shitty one, and if it's a particularly exceptional legacy (again, whether it's for what good you've done or for being extremely shitty as a person), it will become a legend, and will last even longer. And some legends even go further to become a myth or a martyr or a religion and then they exist as long as the culture that spawned the myth exists.
But as for your own consciousness existing after death? No, I don't think so. The link between the brain and the stuff housed in the brain is becoming much less mystical these days. The recent success of implanting memories into a living mouse (
http://www.iflscience.com/brain/scientists-implant-false-memories-sleeping-mice) and other breakthroughs in understanding what parts of the brain handle various tasks, and our ability to quantify, measure, predict, etc brain activity, means that the amount we don't know about how the brain works is shrinking.
For example, you have all probably seen the videos of people controlling either objects on a screen or even prosthetic limbs with their minds. What you may not have seen, because it troubles a lot of people, is research into determining what a person is thinking:
https://www.youtube.com/watch?v=3-x7guPIjJIor what a person is going to do in the future (can't find the video right now, but here's the scientific journal article that reported it:
http://www.nature.com/neuro/journal/v11/n5/full/nn.2112.html)
Even dreams can be understood, analyzed, and predicted.
https://www.youtube.com/watch?v=E8MZ1twv0cUSo it's becoming more and more like a "god of the gaps" argument to say that something mystical is controlling our actions and thoughts, when we can see the actual neurons responsible for each and every tiny thing. Once we have complete, individualized brain maps that can show what it is that every single neuron is responsible for (obviously we'll probably never do this for the entire population; but that's not necessary, what's necessary is to do enough people to show that the process works in general), and that nothing we experience happens outside of the brain, it will be less and less of an acceptable position for people to say that stuff is happening outside of our brains.