Earlier, Krishnamurthy had been issued a show cause notice after a UGC committee found her guilty of plagiarism and misrepresentation.
"The Pondicherry VC has submitted her resignation and it is being examined," the official said.
Krishnamurthy took charge on February 1, 2013 for a five-year term. Last August, she was served a show cause notice asking her to explain why she should not be dismissed.
However, the VC had challenged the "procedural fairness" in issuing of the notice and after a court verdict found nothing wrong, she replied to it earlier this year.