The author continually returns to the argument that an unregulated market is not the same thing as a free market, and smart rules on ridesharing would make the services better for everyone. His other major point is that Uber's dynamic pricing model might be a great alternative to taxis today, but it's flawed in the long run.
Some of the claims in the piece are more convincing than others, though. For example, the argument about Uber creating tourist and local prices for the same areas seems entirely hypothetical, at least at this point. Still, the article is definitely worth reading if you have any interest in the possible future economic implications of ridesharing services.