The Christ on Campus Initiative has published an article by William Lane Criag on arguments for God's existence.

The arguments he explores are:

1. The Cosmological Argument From Contingency,
2. The Kalam Cosmological Argument Based on the Beginning of the Universe,
3. The Moral Argument Based upon Moral Values and Duties,
4. The Teleological Argument from Fine-tuning and
5. The Ontological Argument from the Possibility of God’s Existence to His Actuality.

With each of these he goes into some depth, and interacts with Richard Dawkins in particular.