There is a dispute about the date of Adi Shankaracharya.
There are quite a lot of theories on this.
Some date the Acharya between 688-720 AD, there are also theories that date him around 400 to 500 BC.
Shankaracharya‘ Guru Govinda Bhagavadpada, one study claims lived during the period of Vikramaditya as there are two Vikramadityas,one of the
Maurya and another of the Chalukya dynasty.
The first one lived around 4th Century CE, while the latter in (Vikramaditya II )(733–746 CE)
2.The internal evidence of Shankaracharya’s works do not provide many a clue,exception being the one about Thirugnana Sambhandar, who, it is
agreed, is addressed by Shankaracharya as ‘Dravida Sisu’ in his Soundayalahari.
His references to Kumarila Bhatta and Mandana Misra are equally confusing to pin point the date.
Kumarilabhatta is dated approximately at roughly AD 700.
Mandana Misra at 800 AD;he was a student of Mandana Misra.
Thirugnana Sambhandar who is referred by Shankaracharya is dated 7th Century AD
I received a comment that whether Shankaracharya’s gotra is Namboodiri and whether his gotra belongs to Viswakarma .
I replied that Namboodiri is a sect of Brahmins and they have Gotras and though I have written on Namboodiris, I shall write on their Gotras.
Definitely Shankara did no not belong to Viswakarma as some scholars suggest.
Now to Shankaracharya’s Gotra.
Shankracharya is from the Namboodiri community.
Shankaracharya is from Atri Gotra.
‘Acharya’s grandfather is known to be Vidhyadhiraja and his father is Shivaguru. His mother’s name, though accepted as Aryamba by most biographers, is also quoted as Vishishta Devi and Sati Devi. Madhaviya Shankara Vijaya describes the auspicious Muhurta of Acharya’s birth as `lagne shubhe shubhayute suShuve kumAraM’. There is no mention of Samvatsara and other details. As per the tradition of Sringeri Sarada Peetha, it is accepted as Vaishakha Suddha Panchami.
Acharya’s Gotra was Atri and he was a Krishna Yajurvedi. He is known to be a Nambudari Brahmana by birth.
Adi Shankaracharya’s Pravar.
Atri a a.k.a. AatrEya: AatrEya, Archanaanasa, Syaavaasva.
1. Shankara Digvijaya of Madhavacharya
2. Shankara Vijaya of Anandagiri.
3. Shankara Vijaya of Chidvilasa Yati.
4. Shankara Vijaya of Vyasachala
5. Shankara Vijayasara by Sadananda Vyasa
6. Acharya Charita by Govindananda Yati
7. Shankarabhyudaya by Rajachudamani Dikshitar
8. Brihat Shankara Vijaya by Brahmananda
9. Keraliya Shankara Vijaya by Govindanatha
10. Bhagavatpadabhyudaya by Lakshmana Suri.