Are we evolving in our brains?

The advances in science have made us push our brains to its limits. For instance, the other day I was listening to a program where a scientist was talking about something that exists only in a 15-dimensional space. How does one even begin to comprehend a 15-dimensional space? I have trouble imagining anything over four dimensions. However arcane and far-out these subjects may seem, there is a pretty good chance that the future of humankind may depend on the areas these disciplines are exploring.