[5] During the Gupta period Mithila was a center for disputes between Buddhists, Jains and Brahmins, with prominent Mimamsa authors writing defenses of Vedic ritual.
The Turkic conquests had little impact in Mithila, leaving it as "an isolated outpost and centre of Brahmanic and Sanskrit scholarship," where "Hindu scholars were able to protect the purity of their ideals and traditions.
The place where he lived and taught is known as Vachaspati Mishra Dih located at Thadi village in the Madhubani district.
[8][9][10] Later in the 10th century CE, Udayanacharya founded Nyayakusumanjali which reconciled the views of the two independent schools Nyaya and Vaisheshika of the Indian philosophy.
[11] The location of his academy where he taught his disciples is presently known as Udayanacharya Dih in Samastipur district of the Mithila region.