There are numerous genetic studies showing that Ashkenazi Jews share a Middle Eastern ancestry and genetically most closely overlap with other contemporary ME populations (not European). 1: https://www.nature.com/articles/nature09103 … 2: http://www.pnas.org/content/97/12/6769.full?sid=510e78f1-34b1-4a25-a4ab-e2d90d60d713 … 3: https://www.ncbi.nlm.nih.gov/m/pubmed/20560205/ …
Each of the studies demonstrate Ashkenazi Jews have significant European admixture. Jewish communities certainly have shared ancestry, but it's accurate to describe the Ashkenazi Jews as intermediate between ME and European populations. This also agrees: https://bmcgenet.biomedcentral.com/articles/10.1186/1471-2156-10-80 …pic.twitter.com/hyQ4faZTt2