He needs no introduction as he is one of the three jewels of carnatic music and the oldest of the trinity. Anyway, some details about him, courtesy karnatik.com.

He was born in 1762 and became well-versed in Sanskrit and Telegu early on. At 18 he moved from Tiruvaroor to Tanjavoor with his family and became a great devotee of Bangaru Kamakshi. From an young age, he began composing kritis in Sanskrit and Telegu, especially on Fridays, when he meditated in the presence of his favorite deity. When he went to Pudukottai and offered prayers to the temple, a stranger asked him to go to Madurai and compose a few kritis in honor of the presiding deity Meenakshi. He began the next day on his journey to Madurai to compose nine kritis, his navaratnamaalika, which are:

• meenalOcanA brOva – dhanyAsi
• sarOjadaLanEtri – sankarAbaraNam
• dEvi meenanEtri – sankarAbaraNam
• marivErE – Anandabhairavi
• dEvi needu pAdasarasamulE – kAmbhOji
• mAyammA –Ahiri
• nannu brOva lalitA – lalita
• mAyammA nannu brOva – nATakurunji
• karuna jooDu – sri

He is considered the creator of the song form swarajati – originally a dance form, but he made it a beautiful musical piece by removing the jatis. Ragam Anandabhairavi is considered his property because 5 of his compositions expound the ragam so fully. Most of his compositions are in Telegu, with a few in Sanskrit and Tamil. He had a preference for the chapu talam.

His disciples include Alasur Krishnayaar, his second son Subbaraya Shastry and Tarangambadi Pancanatayyar. He passed away on February 6, 1827.

For a very detailed life history and related info, please check https://sreenivasaraos.com/2020/06/27/sri-shyama-shastry-1763-1827-part-four/

Composition	Recording
Adinamuninci – Anandhabhairavi	M S Sheela
akilAndEswari – karnATaka kApi	M Balamuralikrishna Sulochana Pattabiraman
birAna varAlicci – kalyANi	D K Jayaraman K V Narayanaswamy M L Vasantakumari Maharajapuram Santhanam
brOva samayamidE – punnAgavarALi	Pantula Rama
brOvavammA bangAru – neelAmbari	Suganda Kalamegam
brOvavammA tAmasamEla – mAnji	Brinda & Mukta K V Narayanaswamy
brOvumu maninE – keeravANi	Pantula Rama Maharajapuram Santhanam
bruhannAyaki – madyamAvati	Suguna Varadachari AV Disciples
dayajooDa – jaganmOhini	Suganda Kalamegam AV Disciples
dayAnidhE mAmava – bEgaDA	D K Pattammal Mani Krishnaswamy Maharajapuram Santhanam
dEvi brOva – chintamaNi	D K Jayaraman K V Narayanaswamy S Sowmya
dEvi meenanEtri – sankarAbaraNam	T N Seshagopalan
dEvi nannu brOvavamma – kalyANi	M S Sheela
dEvi needu pada – kAmbhOji	AV Disciples T N Seshagopalan
durusuga – sAvEri	Aruna Sairam M Balamuralikrishna T M Krishna
Emani migula – tODi	M Balamuralikrishna
ennEramum un nAmam – poorvikalyANi	Sulochana Pattabiraman
ennEramum un pAda – punnAgavarALi	AV Disciples Sulochana Pattabiraman
himAchala tanaya – Anandabhairavi	S Sowmya S Ramanathan
himAdri sutE pAhimAm – kalyANi	Maharajapuram Santhanam T V Sankaranarayanan
janani natajana – sAvEri	R K Srikantan
kAmAkshi – bhairavi	M Balamuralikrishna M D Ramanathan Maharajapuram Santhanam Semmangudi Srinivasa Iyer T M Krishna R Vedavalli
kAmAkshi – sAvEri	R Vedavalli
kAmAkshi – yadukulakAmbOji	M S Subbulakshmi S Sowmya T M Krishna
kAmAkshi bangAru – varALi	K V Narayanaswamy Ranjani & Gayatri
kAmAkshi lOkasAkshi – madyamAvati	Sulochana Pattabiraman
kAmAkshi nAto – bEgaDA	Vijay Siva
kanaka saila vihAriNi – punnAgavarALi	Aruna Sairam M Balamuralikrishna M D Ramanathan Maharajapuram Santhanam
karuNa joodavamma – pantuvarALi	D K Pattammal
karuNa jooDu – Sri	Brinda & Mukta Maharajapuram Santhanam Voleti Venkateswarulu
karuNanidhi ilalO – tODi	Hyderabad Brothers O S Tyagarajan D K Jayaraman M S Sheela
mahilO ambA – Anandhabhairavi	Suguna Varadachari
marivErE gati – Anandabhairavi	Brinda & Mukta T N Seshagopalan Vijay Siva
mAyammA – Ahiri	D K Jayaraman Hyderabad Brothers K V Narayanaswamy M S Subbulakshmi Maharajapuram Santhanam T N Seshagopalan Voleti Venkateswarulu
mAyamma nannu brOva – nATakurunji	Maharajapuram Santhanam S R Janakiraman
meena lOchana – dhanyAsi	D K Jayaraman Nityasri T Balasaraswati T N Seshagopalan
nA manavini (varnam) – saurAshtram	AV Disciples Rama Ravi
nannu brOva rAdA – gowlipantu	Pantula Rama
nannu brOva rAdA – janaranjani	Maharajapuram Santhanam
nannu brOva lalita – lalitA	D K Jayaraman Mysore Nagamani Srinath S Ramanathan T N Seshagopalan
neelayatAkshi – paras	Brinda & Mukta M S Subbulakshmi
neevE gatiyani (varNam) – kalyANi	R Vedavalli
ninnE namminAnu – tODi	Bombay Jayasri K V Narayanaswamy Maharajapuram Santhanam T M Krishna
ninnE nammiti nijamuga – kEdAragowLa	M S Sheela
ninnuvinA mari galadA – Abheri	Mudikondan Venkatarama Iyer R Vedavalli
ninnuvinAga mari – poorvikalyANi	S Sowmya T M Krishna
O jagadamba – Anandabhairavi	M S Subbulakshmi T M Krishna
pAhi sree girirAjasutE – Anandabhairavi	Brinda & Mukta D K Jayaraman Gayatri V
pAhimam sri – nATa	AV Disciples
pAlayAsumAm – Arabhi	AV Disciples
pAlimpavammA – mukhAri	AV Disciples
pAlincu kAmAkshi – madyamavati	Bhushani Kalyanaraman K V Narayanaswamy M S Subbulakshmi
parA kElanannu – kEdAragowla	Hyderabad Brothers Pantula Rama V Ramachandran
parAmukham EnammA – kalyANi	AV Disciples
pArvati janani (geetam) – bhairavi	R Vedavalli
pArvati ninnunE – kalgaDA	Hyderabad Brothers Nityasri Rudrapatnam Brothers S Sowmya
puraharajAyE – gowlipantu	M S Sheela
rAvE himagiri kumAri – tODi	M S Subbulakshmi Semmangudi Srinivasa Iyer Semmangudi Srinivasa Iyer & M S Subbulakshmi T M Krishna T V Ramprasad
rAvE parvata rajakumAri – kalyANi	AV Disciples T N Seshagopalan
sAmi ninnE nammiti – bEgaDA	M S Sheela
sankari samkuru – sAvEri	D K Pattammal M L Vasantakumari Neyveli Santhanagopalan Pantula Rama R Vedavalli
sari evvarammA – bhairavi	G S Mani M S Sheela
sarOja daLanEtri – sankarAbaraNam	Chembai Vaidyanatha Bhagavathar M S Subbulakshmi T N Seshagopalan S Sowmya
sri kAmAkshi – kalyANi	Pantula Rama
sri pathi mukha – sAvEri	Pantula Rama
talli ninnu – kalyANi	D K Pattammal M S Subbulakshmi
taruNam eedammA – gowlipanTu	D K Jayaraman G N Balasubramanian Maharajapuram Santhanam S Sowmya
trilOka matA ninnu – paras	M D Ramanathan Maharajapuram Santhanam