Answer

I could not verify a standard Jain source that says someone “learnt 1,000 shlokas every day.” If you mean the Jain scholar known for extraordinary learning, the closest well-known name is Acharya Hemachandra. He was trained in Jain scriptures, logic, grammar, and literary composition, and is remembered as a major Jain polymath. ( archania.org)

Explanation

There is also a later Jain saint, Bal Muni Tribhuvan Ratna Vijay Ji, who was reported to have learned 1,400 shlokas by heart, which may be the story you are recalling. ( jainsamaj.org)

Takeaway

So, the most likely answer is Acharya Hemachandra, but the exact “1,000 shlokas every day” statement could not be confirmed from the sources I checked. ( archania.org)