Can anyone explain me Descartes' cogito argument? How does it go with nonduality?

[Manjushri]

I have no idea. 

[RichardY]

It doesn't. The metaphysic is substance dualism. Although I might be deceived by an evil demon, the only thing I can be certain of is that "I" exist (my soul exists). It's an example of foundationalism, an attempt to find a foundation to ground truth on. Although why have dualism and not substance theory or Idealism. Why put off reality another step into Substance Dualism?

Although I have not read Descartes Meditation... Just snippets about it. 

There seems to be 3 main theories of truth and epistemology(theory of Knowledge) 1) Foundationalism and Correspondence Theory of Truth. 2) Coherence theory of Truth. 3) Infinitism

[WelcometoReality]

@Gligorije I think, therefore I am.

Descartes premis is that there is a thinker, but the thinker is either part of the thought or another thought taking ownership of the first thought.

Non duality says that there is no thinker, no subject which has ownership of the thought.

So no they don't go well together.