Albert Einstein's DNA is e1b1b, which originates in the Near East (Middle East).
The Khazars were a semi-nomadic Turkic people who created the most powerful Western steppe empire, Khazaria, between the late 7th and 10th centuries. The Turkic peoples are a collection of ethnic groups that live in northern, eastern, central, and western Asia, northwestern China, and parts of eastern Europe. The term Turkic represents a broad ethno-linguistic group of peoples including existing societies such as the Turks, Tatars, Uzbeks, and Azerbaijanis.
Turkic tribes, such as Khazars and Pechenegs, probably lived as nomads for many years before establishing the Gokturk Empire or Mongolia in the 6th century. The first reference to the group's existence is in the 6th century. More information about Khazars is available online.
The Khazar hypothesis is an argument that Ashkenazi Jews are not ethnically Jews, but descended from the Turkic Khazar Empire. The argument is largely advanced by KKKers, neo-Nazis, and others who seek to displace Jews from Israel.
The purpose of the Khazar hypothesis is to create a separation between the modern Jews living in Israel and their ancestral claim to that land. This argument is advanced specifically for the purpose of stripping Ashkenazic Jews of personhood, self-determination, and nationhood.
The term "Ashkenazi" is well defined and refers to Jews whose paternal ancestors immigrated to the following parts of central and eastern Europe: France, Germany, the Netherlands, Austria, Hungary, former Czechoslovakia, Belarus, Lithuania, Poland, Romania, Russia, and Ukraine. It excludes Jews from the Balkans, Greece, Italy, and the Iberian peninsula (Spain).
It is historic fact that some Khazars converted to Judaism around 740 C.E. However, many historians believe that only royalty and some members of the aristocracy converted. Thus, it is possible that some Ashkenazic Jews have Khazar ancestry. That said, the vast majority do not.
A variety of DNA studies over an extended period of time support the fact that Ashkenazic Jews originated in the Middle East (also called the Near East). Some of these studies include the following:
Since no other paternal or maternal haplogroup among Ashkenazim comes from a Central Asian Turkic source either, there is a total absence of evidence for Khazar ancestry in Ashkenazi Jews. Kevin Brook, who has been researching the possibility of Khazar ancestry for 20 years among Ashkenazim and wrote a book entitled "The Jews of Khazaria", concludes: "Surprisingly, there is evidence for small amounts of southern Chinese, Berber, and Slavic ancestry in Ashkenazi Jews, but not for Turkic Khazar ancestry."
Though Ashkenazim are the largest ethnic group of Jews today, Sephardim and Mizrahim also consist of a significant part of the Jewish population, both in Israel and in the diaspora. Additionally, Israel has become the home of many smaller Jewish ethnic groups, such as Ethiopian Jews, Yemenite Jews, and Kaifeng Jews.
The Khazar hypothesis does not address these populations in Israel at all. Sephardim and Mizrahim have historic claims to Israel. Additionally, based on the above evidence, Ashkenazim also have historic claims to Israel. Moreover, the genetic studies above refute the claim that all Ashkenazic populations descend from Khazars.
The genetic studies above put the Khazar myth to rest. If you bump into the Khazar myth, make sure to refute it.