Little is known for sure about Sureśvara's life. According to a strong tradition within Advaita Vedānta, before he became a disciple of Śankara, Sureśvara was known as Maṇḍana Miśra, a Mīmāmsāka. After being defeated in a debate by Śankara, Miśra renounced his life as a householder and became a sannyāsin. Whether this Maṇḍana Miśra was the same as the author of Brahmasiddhi is questioned by modern scholars on the basis of textual analysis. Sureśvara was the Advaita tradition's Vārttikakāra, meticulously and critically examining Śankara's work. In his non-commentary work, the Naiṣkarmyasiddhi, he presents Avdaita philosophy clearly and simply.
Identification with Maṇḍana Miśra
Maṇḍana Miśra has often been identified with Sureśvara. Sureśvara and Maṇḍana Miśra were contemporaries of Śankara. Both explained Śankara "on the basis of their personal convictions." According to Kuppuswami Sastri, it is not likely that Maṇḍana Miśra, the author of Brahmasiddhi, is identical with Sureśvara, but the tradition is correct in describing Maṇḍana Miśra and Śankara as contemporaries. His critical edition of the Brahmasiddhi also points out that the name Maṇḍana Miśra is both a title and a first name, which is a possible cause for a confusion of personalities. Maṇḍana Miśra's brand of Advaita differs in certain critical details from that of Śhankara, whereas Sureśvara's thought is very faithful to that of Śankara. According to Sharma, Hiriyanna and Kuppuswami Sastra have pointed out that Sureśvara and Maṇḍana Miśra had different views on various doctrinal points:
The locus of avidyā: according to Maṇḍana Miśra, the individual jīva is the locus of avidyā, whereas Sureśvara contents that avidyā regarding brahman is located in brahman. These two different stances are also reflected in the opposing positions of the Bhamati school and the Vivarana school.
Liberation: according to Maṇḍana Miśra, the knowledge which arises from the mahāvākya is insufficient for liberation. Only the direct realization of brahman is liberating, which can only be attained by meditation. According to Sureśvara, this knowledge is directly liberating, while meditation is at best a useful aid.