that the uranium mining and nuclear power generation has also increased during similar time period as the global warming.

Nuclear power generation over the years.
http://www.world-nuclear.org/info/Current-and-Future-Generation/Nuclear-Power-in-the-World-Today/

Uranium production between years 2001 and 2011.
http://www.world-nuclear.org/info/Facts-and-Figures/Uranium-production-figures/
In 2001 the production was about 36,360 tons and in 2011 it was about 54,610 tons.

As I understand it; man made greenhouse gasses are by-products of heat generation from burning of stored chemical energy, whereas nuclear energy is the conversion of mass into energy.
The by-product of nuclear energy is radioactivity, that generated radioactivity will be on the Earth's surface for thousands of years and in the process of disintegration will generate heat.