Sadly, I wasn't able to copy more than just the first of two errors:
! Package unicode-math Error: Cannot be run with pdfLaTeX!
(unicode-math) Use XeLaTeX or LuaLaTeX instead..
See the unicode-math package documentation for explanation.
Type H <return> for immediate help.
I use LaTeX, and as far as I can see, they want me to use XeTeX. I don't know how to improve the CV to LaTeX code.
If you could give me some tips, links etc. in a comment, I would like to try to find a solution and update my question, so that you don't have to do the work all on your own!

cv.texthen you used the commandpdflatex cvand you should have usedxelatex cv– David Carlisle Feb 18 '16 at 21:42xelatex resume.tex– HATEthePLOT Feb 18 '16 at 21:59pdftexengine to render your document.xetexis a new and improved engine. Both are LaTeX engines, and you can read more about this here and here. XeTeX adds a lot of functionality, such as the ability to use the fonts you're trying to use here, but it'd be unusual for it to break anything else. It takes slightly longer to run, but you can compile all your old files with XeTeX – Au101 Feb 18 '16 at 22:14xelatexinstead ofpdflatexand nine times out of ten you shouldn't notice any difference, but it will enable you to do other things you can't do at the moment. This template you're using requires XeTeX to do everything it's trying to do, so you'll have to use XeTeX, but that's pretty much the only change you'll have to make, you'll still be able to write your code the same way – Au101 Feb 18 '16 at 22:16