Where can I find data on foreign born and native born workers by industry for the years 2010-2014
Two IPUMS products provide data on foreign/native born population and industry. The first source is IPUMS USA (which provides US Census and ACS data). The NATIVITY variable identifies native or foreign born individuals, in pre-1970 samples. For post-1970 samples, the BPL variable can identify native born (BPL<120) and foreign born (BPL>120 & <999) individuals. The LABFORCE and IND variables can identify workers by industry.
The second source is IPUMS CPS (which provides data from the Current Population Survey). The NATIVITY variable identifies native or foreign born individuals in ASEC samples. The LABFORCE and IND variable can identify workers by industry.