MATHAS AND WORKS OF SHANKARACHARYA

                       Adi Shankara founded four Maṭhas (Sanskrit: मठ) to guide the Hindu religion. These are at Sringeri in Karnataka in the south, Dwaraka in Gujarat in the west, Puri in Orissa in the east, and Jyotirmath (Joshimath) in Uttarakhand in the north. Hindu tradition states that he put in charge of these mathas his four main disciples: Sureshwaracharya, Hastamalakacharya, Padmapadacharya, and Totakacharya respectively. The heads of the mathas trace their authority back to these figures. Each of the heads of these four mathas takes the title of Shankaracharya ("the learned Shankara") after the first Shankaracharya. The table below gives an overview of the four Amnaya Mathas founded by Adi Shankara and their details.
                       Adi Shankara's works deal with logically establishing the doctrine of Advaita Vedanta as he saw it in the Upanishads. He formulates the doctrine of Advaita Vedanta by validating his arguments on the basis of quotations from the Vedas and other Hindu scriptures. He gives a high priority to svānubhava ("personal experience") of the student. His works are largely polemical in nature. He directs his polemics mostly against the Sankhya, Buddha, Jaina, Vaisheshika and other non-vedantic Hindu philosophies.
                      Traditionally, his works are classified under Bhāṣya ("commentary"), Prakaraṇa grantha ("philosophical treatise") and Stotra ("devotional hymn"). The commentaries serve to provide a consistent interpretation of the scriptural texts from the perspective of Advaita Vedanta. The philosophical treatises provide various methodologies to the student to understand the doctrine. The devotional hymns are rich in poetry and piety, serving to highlight the relationship between the devotee and the deity.
                       Adi Shankara wrote Bhashyas on the ten major Upanishads, the Brahma Sutras and the Bhagavad Gita. In his works, he quotes from Shveshvatara, Kaushitakai, Mahanarayana and Jabala Upanishads, among others. Bhashyas on Kaushitaki, Nrisimhatapani and Shveshvatara Upanishads are extant but the authenticity is doubtful.Adi Shankara's is the earliest extant commentary on the Brahma Sutras. However, he mentions older commentaries like those of Dravida, Bhartrprapancha and others.
In his Brahma Sutra Bhashya, Adi Shankara cites the examples of Dharmavyadha, Vidura and others, who were born with the knowledge of Brahman acquired in previous births. He mentions that the effects cannot be prevented from working on account of their present birth. He states that the knowledge that arises out of the study of the Vedas could be had through the Puranas and the Itihasas. In the Taittiriya Upanishad Bhashya 2.2, he says:

Sarveśāṃ cādhikāro vidyāyāṃ ca śreyah: kevalayā vidyāyā veti siddhaṃ

It has been established that everyone has the right to the knowledge (of Brahman) and that the supreme goal is attained by that knowledge alone.

                   Among the independent philosophical treatises, only Upadeśasāhasrī is accepted as authentic by modern academic scholars. Many other such texts exist, among which there is a difference of opinion among scholars on the authorship of Viveka Chudamani   The former pontiff of Sringeri Math, Shri Shri Chandrashekhara Bharati III has written a voluminous commentary on the Viveka Chudamani.
Adi Shankara also wrote commentaries on other scriptural works, such as the Vishnu sahasranāma and the Sānatsujātiya.  Like the Bhagavad Gita, both of these are contained in the Mahabhārata.