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Zeraoulia Rafiq

@zeraoulia

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About Me

I am Rafik Zeraoulia, a mathematics researcher and part-time lecturer at Abbes Laghrour University, Khenchela, Algeria. My work spans mathematical analysis, dynamical systems, and AI-assisted research. I have resolved open mathematical conjectures with AI assistance, retaining responsibility for verifying the proofs and conclusions. I have also contributed computational investigations and partial results toward Erdős problems, including Problems #458 and #273 and #580..... My interests include reliable AI reasoning, mathematical verification, and accessible workshops on responsible AI use in modern science.

Projects

Testing the Reliability of AI-Generated Mathematical Proofs

unfunded

About ZeraouliaBy Zeraoulia1Following11
Lisa Thiergart's profile
zeraoulia avatar

Zeraoulia Rafiq

about 11 hours ago

Hi Lisa,

I noticed your interest in verification and technical AI governance and wanted to share a related research direction.

I am Rafik Zeraoulia, a mathematics researcher and part-time lecturer in Algeria. My work includes resolving open conjectures with AI assistance, with responsibility for checking the proofs and conclusions remaining mine.

I am developing a project on the reliability of AI-generated mathematical proofs: identifying plausible but invalid arguments, constructing checkable counterexamples, and evaluating when independent verification improves error detection. A particular question interests me: how can we ensure that a verified proof establishes the intended claim, rather than a subtly altered statement?

The project is currently at the proposal stage. Its intended outputs include expert-checked examples, reproducible evaluation materials and a public report on the limits of model self-checking. Although the scope is mathematical, I hope these examples could inform broader discussions about verification and trustworthy evidence.

My research record is available here:
https://orcid.org/0000-0002-5436-3320

If this overlaps with your interests, I would welcome a brief methodological comment or a pointer to relevant work.

Best regards,
Rafik Zeraoulia