Whether Adi Shankaracharya is the incarnation of Lord Shiva is point, better left alone.
There are some who dispute it.
However what one can not dare to deny, is the fact that He was an intellectual Giant ..
Shankaracharya was engaged in an argument with Buddhists on Reality and the nature of the world.
The main pivot of Shankaracharya’s Philosophy rests on His assertion that Permanence is Real and Change is Illusory.
For the Buddhists, Change alone is permanent and there is no Permanence.
Totally diametrically opposite point of views.
Buddhists argue with Shankaracharya thus.
Take a Candle.
It lights up the area surrounding it.
It releases Energy, and loses Energy every micro second.
So when you look at the candle for the second time ,it is not the same as it was as it has expended energy, has changed its size.
In the case of Man, Man changes.
Man goes through the various Ages-Childhood,Youth, Old Age.
So Man does not remain the same.
Every thing changes and nothing is Permanent.
Shankaracharya replies,
True,
But , if , as you declare, every thing changes and does not remain the same, how is it that you identify the Object as such?
Yes, The candle has changed, Changes, Man changes.
If only Changes are there, how is that we recognize them as such?
Because there is Something by referring to which you recognize Objects despite the Changes.
The permanent Reality is Brahman and the Changes are Illusory.
What an argument?
Look at list of works of Shakaracharya whci he completed in 32 years of His Life.

Prasthanatraye.
- Aitereyopanishad Bhashya
- Bhagavadgita Bhashya
- Brahmasutra Bhashya
HTML - Brhadaranyakopanishad Bhashya
- Chandogyopanishad Bhashya
- Ishopanishad Bhashya
- Kathopanishad Bhashya
- Kenopanishad Bhashya
- Prashnopanishad Bhashua
- Mandukyopanishad Karika Bhashya
- Mundakopanishad Bhashya
- Taittiriyopanishad Bhashya
Other Commentaries
- Adhyatma Patala Bhashya
- Hastamalakiya Bhashya
- Lalita Trishati Bhashya
- Nrsimha Purvatapanyupanishad Bhashya
- Sanatsujatiya Bhashya
- Vishnu Sahasranama Stotra Bhashya
Longer Philosophical Works
- Prapancha Sara
- Sarva VedAnta SiddhAnta Sara Sangraha
- Upadesha Sahasri
- Viveka Chudamani
Shorter Philosophical Works
- Advaita Anubhuti [84]
- Advaita Panchakam [5]
- Anatma Shrivigarhana [18]
- Aparokshanubhuti [144]
- Atmabodha [68]
- Brahma Anuchintanam [28]
- Brahmajnanavallimala [20]
- Dhanyashtakam [8]
- Ekashloki [1]Jivanmukta Anandalahari [17]
- Kaupina Panchakam [5]
- Laghu Vakyavrtti [18]
- Manisha Panchakam [5]
- Maya Panchakam [5]
- Nirvana Manjari [12]
- Nirvana Shatakam [6]
- Panchikaranam [prose]
- Prabodha Sudhakara [257]
- Prashnottara Ratnamalika [67]
- Praudha Anubhuti [17]
- Sadachara Anusandhanam [55]
- Sadhana Panchakam or Upadesha Panchakam [5]
- Shatashloki [100]
- PDF from Sanskrit Document Site
- Svatma Nirupanam [153]
- Svatmaprakashika [68]
- Tatvopadesha [87]
- Vakyavrtti [53]
- Yati Panchakam [5]
- Yoga Taravali [29]
In Praise of Ganesha
-
Ganesha Pancharatnam [5]
PDF from Sanskrit Document Site
- Ganesha Bhujangam [9]
In Praise of Shiva
- Dakshinamurti Ashtakam [10]
- Dakshinamurti Stotram
- Dakshinamurti Varnamala Stotram
- Dasashloki Stuti
- Dwadasha Jyotirlinga Stotram
- Kalabhairava Ashtakam
- Mrityunjaya Manasika Puja
- Shiva Anandalahari [100]
- Shiva Aparadhakshamapana Stotram [17
- Shiva Bhujangam [4]
- Shiva Keshadipadantavarnana Stotram [29]
- Shiva Manasa Puja [5]
- Shiva Namavali Ashtakam [9]
- Shiva Padadikeshantavarnana Stotram [41]
- Shiva Panchakshara Nakshatramala Stotram [28]
- Shiva Panchakshara Stotram [6]
- Suvarnamala Stuti [50]
- Vedasara Shiva Stotram [11]
In Praise of Shakti
- Ananda Lahari
- AnnapUrna Ashtakam [8]
- Bhavani Bhujangam [17]
- Bhramaramba Ashtakam [9]
- Devi Bhujangam [28]
- Devi Chathuhshasti Upachara Puja Stotram [72]
- GaurI Dashakam [11]
- Kalyana Vrshti Stava [16]
- Kanakadhara Stotram [18]
- Lalita Pancharatnam [6]
- Mantramatrka Pushpamala Stava [17]
- Minakshi Pancharatnam [5]
- Minakshi Stotram [8]
- Navaratna Malika [10]
- Saundaryalahari [100]
- Sharada Bhujanga Prayata Stotram [8]
- Tripurasundari Ashtakam [8]
- Tripurasundari Manasa Puja [127]
- Tripurasundari Veda Pada Stotram [10]
In Praise of Vishnu and His Avatars
- Achyutashtakam [9]
- Bhagavan Manasa Puja [10]
- Govindashtakam [9]
- Jagannathashtakam [8]
- Krishnashtakam [8]
- Lakshminrsimha Karavalamba (Karunarasa) Stotram [17]
- Lakshminrsimha Pancharatnam [5]
- Mohamudgara (Bhaja Govindam) [31]
- Pandurangashtakam [9]
- Rama Bhujanga Prayata Stotram [29]
- Shatpadi Stotram [7]
- vishnu Bhujanga Prayata Stotram [14]
- vishnu Padadikeshanta Stotram [52]
In Praise of Other Deities and Tirths
- Ardhanarishwara Stotram [9]
- Gangashtakam [9]
- Guru Ashtakam [10]
- Hanumat Pancharatnam [5]
- Kashi Panchakam [5]
- Manikarnika Ashtakam [9]
- Narmadashtakam [9]
- Nirguna Manasa Puja [33]
- Subrahmanya Bhujangam [33]
- Uma Maheshwara Stotram [13]
- Yamunashtakam [8]
- Yamunashtakam(2) [9]
Complete Works of Shankaracharya for Download at the following Link.

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