In the Śaṅkara-sampradāya there are ten different names awarded to sannyāsīs: (1) Tīrtha, (2) Āśrama, (3) Vana, (4) Araṇya, (5) Giri, (6) Parvata, (7) Sāgara, (8) Sarasvatī, (9) Bhāratī and (10) Purī. Before one enters sannyāsa, he has one of the various names for a brahmacārī, the assistant to a sannyāsī. Sannyāsīs with the titles Tīrtha and Āśrama generally stay at Dvārakā, and their brahmacārī name is Svarūpa. Those known by the names Vana and Araṇya stay at Puruṣottama, or Jagannātha Purī, and their brahmacārī name is Prakāśa. Those with the names Giri, Parvata and Sāgara generally stay at Badarikāśrama, and their brahmacārī name is Ānanda. Those with the titles Sarasvatī, Bhāratī and Purī usually live at Śrṅgerī in South India, and their brahmacārī name is Caitanya.
Śrīpāda Śaṅkarācārya established four monasteries in India, in the four directions north, south, east and west, and he entrusted them to four sannyāsīs who were his disciples. Now there are hundreds of branch monasteries under these four principal monasteries, and although there is an official symmetry among them, there are many differences in their dealings. The four different sects of these monasteries are known as Ānandavāra, Bhogavāra, Kīṭavāra and Bhūmivāra, and in course of time they have developed different ideas and different slogans.
The great authorities in the disciplic succession had not offered to explain why Lord Caitanya refused to take the name Bhāratī after He took sannyāsa from a Bhāratī, until Śrīla Bhaktisiddhānta Sarasvatī Gosvāmī Mahārāja volunteered the explanation that because a sannyāsī in the Śaṅkara-sampradāya thinks that he has become the Supreme, Lord Caitanya, wanting to avoid such a misconception, kept the name Śrī Kṛṣṇa Caitanya, placing Himself as an eternal servitor. A brahmacārī is supposed to serve the spiritual master; therefore He did not negate that relationship of servitude to His spiritual master. Accepting such a position is favorable for the relationship between the disciple and the spiritual master.
Ref >> Srila Prabhupada Vani.