Ashkenazi Jews Are Not Khazars. Here's The Proof
Globally speaking, all arguments suggested by proponents of Khazarian theory are either highly speculative or simply wrong.
No Evidence from Genome-Wide Data of a Khazar Origin for the Ashkenazi Jews
Haaretz Resurrects The Khazar Jews Theory - When the Khazar kingdom collapsed in the 13th century, according to the believers in the Khazar theory