Stark-Coleman Invariants and Quantum Lower Bounds: an Integrated Framework for Real Quadratic Fields

Class groups of real quadratic fields represent fundamental structures in algebraic number theory with significant computational implications. While Stark's conjecture establishes theoretical connections between special units and class group structures, explicit constructions have remained elusiv...

MCP Safety Training: Learning to Refuse Falsely Benign MCP Exploits Using Improved Preference Alignment

The model context protocol MCP has been widely adapted as an open standard enabling the seamless integration of generative AI agents. However, recent work has shown the MCP is susceptible to retrieval-based "falsely benign" attacks FBAs, allowing malicious system access and credential theft, but...