The Hungarian and Sumerian linguistic relationship is well established since the beginning of the research into Sumerian language, even though there is almost no connection in other fields such as archeological ruins, artifacts, canals, gemstones, etc. There never was a migration from Hungarian plains to Mesopotamia. . There are many articles proving Sumerian Hungarian relationship. Hungarian language is related to Sumerian because Hungarians were originally Turkic. More research is necessary to have a better idea on Hungarian origins but it seems like any time between 1,500-4,000 years ago they were Turkic. Their ancestral lands in Siberia matches that of Turks and their language characteristics including grammatical features match Turkish too.
In time, Hungarians have kept their language but their demographics have changed with Slavic migrations. Hungarian is probably a Ğur (Oghur/Ogur) Turkic language, like Chuvash the only surviving Ogur Turkic language. Hungarian is currently classified as Uralic.
And very interestingly Chuvash language too was misclassified by Western academics as Finno-Ugric. This error was finally corrected and it was established that Chuvash is a Turkish language without any dispute.
Moreover, there is no mutual intelligibility between Chuvash and other Turkic languages, even though 50% of their vocabulary consists of the same Turkic words. Their grammar/syntax and other linguistic features are same as other Turkish languages.
Chuvash people may be descendants or relatives of the now extinct Bolgar - Bolkhar - Balkar people who occupied Bulgaria at least 1400 years ago, if not earlier. They, together with the Hungarians (Hungar, Onogur, Magyar/Magor), had moved from Central Asian Steppes via Russian Pontic and Ukrainian steppes during Turkic migrations of 600 AD. (Note: The first settlement of Hungary by the Hungarians may go at least a thousand years earlier than that if Anatolian-Mesopotamian migration is proved!)
Hungars and Bolgars were parts of the Hunnic Empire which consisted of many Turkic and Mongolian tribes from Mongolia in the East to France and Spain in the West covering a large area of Eurasia from 3th century BC to 6th century AD.
Bolgars were replaced by Slavic people and changed their language, but they kept their name which still lives on as the country name Bulgaria. Hungarians too blended with Slavic populations but they have kept their language.
The name Hungar is probably related to Hun or Onogur (Ten Tribes) and Magyar is also an Oghur Turkic name. If Endrey Anthony is right, Magyar comes from Magor which is Gor, neighbors of Sumerians. I have demonstrated that Gor are actually Gur/Ğur/Oghur/Ogur Turks.
The word Turan, consisting of Tur and An, was a Turkish term, meaning Turk Land (Land of the Turks). It is a Turkish word but it is first mentioned in Iranian records.
Finnish Mathias Carlsen and Max Muller used Turan to denote the collection of Turks, Hungarians, Finns, Estonians, and Samoyedic people and languages. In this classification, Turks make up by far the biggest number of speakers in the largest geographic area of all whose earliest historic records go back to Sumer and way before with tamgas, petroglyphs from Turkey to Siberia and all of Eurasia.
Unfortunately, Turanism became a political movement used by the European imperialists in their war against Russia since the late 1800s. Nowadays, Turan is mainly used as a cultural and linguistic entity and anything beyond that is part of Western use/propaganda against Russia.
On the internet, one can find a lot of resources for Hungarian Sumerian relations, including that of the math professor Alfred Toth, researcher Endrey Anthony, and Andras Zakar, among many others. Hungarian seems like a good match with the Ogur Turkic Chuvash language.
It is also very likely that Hungarian and Etruscans, both Gur Turks, immigrated from Anatolia. Endrey Anthony' book, Son of Nimrod and Turkish DNA studies, along with Heredot’s account seems to point in that direction, at least for the Etruscans.
Hungarian Nandor Dreisziger's 2013 paper bringing new research including DNA testing in graves from 6th century AD, confirms Hungarian Armin Vambery's 19th-century thesis that the origins of Hungarian were Turkic. However, Hungarian is mutually unintelligible with modern era Turkish and does not share much of its vocabulary with Turkish.
Russian Research into Sumerian:
The best works done after Ataturk, by any Turkic people in the field were by: the only Turkish scholar who went in the footsteps of Ataturk, Vecihe Hatipoglu in 1979, Azeri researcher Begmyrat Gerey in 2003, and Unal Mutlu in 2007. A very important collection of Sumerian origins research was written by Muazzez Ilmiye Cig in 2013. There were important works by Olcas Suleimanov in the 1970s and Amonjolov in the 2000s. That's certainly a handful.
Russian scholars, especially Kisamov, an automotive engineer fascinated by Turkish history, as well as Anatoly Kylosov, a professor of chemistry, have important works on Turkish history. Kisamov created by far had the best Turkic world website on the internet. Although few of their works directly deal with Sumer, they provide great overall insight into the Turkish language, Turkic history, and migrations. There are many other Russian scholars who have worked or are working in Turkish language history, more so than Turkey but Kisamov and Klyosov are non-scholars who provide deeper and better analysis than professional academics in the field.
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Discover groundbreaking revelations on the roots of modern civilization in one short book. How did we arrive to where we are? How ancient civilizations a world apart, Sumer and Maya were connected. An overview that covers a wide range of topics from human migrations 50000 years ago to Gobeklitepe, the first temple in history, the first matriarchal society with written records, Elam, and to the Sun Cult of the Hattis. Their origins and influence on other ancient civilizations including their neighbors, distant relatives: Ancient Egypt, Ancient Greece, Hurrian, Scythian, Oguz, Kassite, Gutian, Hyksos and more. (Many of my articles on this website included.)