Migrations to south & west went up to Dwaraka, further to Goa,Konkan, Karnataka,Kerala region.
2nd route was from Punjab into Kashmir.
Who moved South East followed #Ganga & reached Trihotrapura in upper Bihar in 400-350 BC, thier major settlements-Kanyakubja/Kanpur,Magadha and Mithila.
Gowda Brahman: Saraswats, Kanyakubjas, Gaudas, Utkals, Maithilas.
Dravida Brahman: Andhras, Maharashtras, Dravidas, Karnataka, Kerala Brahmans.
32 were Manichaeans,worshipped Moon,settled in the south of river,Mahodaya puramwas their capital
Some Nairs, masons & sculptors came from #Kashmir to build the temple.
Dogras employed Nambudiri Brahmins from Kerela
Shankaracharya in #Kashmir expounded Shaivisim to counter Manichaeism(founded in Persia in 3rd cent by Mani)
& formed Shastra-Shastra ki fauj- order of Naga Sadhus to fight invading Muslims.